lua: re-apply arch's GUEST-lex prefix-rename refactor on top of merged loops/lua

Lua now joins tcl/ocaml/kernel/common-lisp in consuming lib/guest/lex.sx via
prefix-rename. Removes 28 lines of duplicated character-class helpers
(lua-make-token, lua-digit?, lua-hex-digit?, lua-letter?, lua-ident-start?,
lua-ident-char?, lua-ws?) and replaces with the 8-line prefix-rename block.

The byte-table additions from loops/lua (__ascii-tok, __lua-127-255-tok,
lua-byte-to-char) are preserved at the top of tokenizer.sx — those provide
Lua's 8-bit-clean string semantics on top of the shared lex layer.

test.sh updated to preload lib/guest/lex.sx + lib/guest/prefix.sx before
lua sources, matching the load order arch's pre-merge test.sh used.

393/395 maintained. The 2 pre-existing failures are unrelated:
- math.random(n) primitive arity issue
- os.clock returns rational instead of number (SX division semantics)

Skipped from the planned follow-up: delay/force port. Arch's lua-force was
defined but never referenced anywhere — dead code, not worth porting.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

.claude/scheduled_tasks.lock

@@ -0,0 +1 @@
+{"sessionId":"31c80255-eb92-43e4-8997-84ad84e27326","pid":90960,"procStart":"564684","acquiredAt":1777049890282}

hosts/ocaml/bin/run_tests.ml

@@ -1279,7 +1279,7 @@ let run_foundation_tests () =
   assert_true "sx_truthy \"\"" (Bool (sx_truthy (String "")));
   assert_eq "not truthy nil" (Bool false) (Bool (sx_truthy Nil));
   assert_eq "not truthy false" (Bool false) (Bool (sx_truthy (Bool false)));
-  let l = { l_params = ["x"]; l_body = Symbol "x"; l_closure = Sx_types.make_env (); l_name = None; l_compiled = None } in
+  let l = { l_params = ["x"]; l_body = Symbol "x"; l_closure = Sx_types.make_env (); l_name = None; l_compiled = None; l_call_count = 0; l_uid = Sx_types.next_lambda_uid () } in
   assert_true "is_lambda" (Bool (Sx_types.is_lambda (Lambda l)));
   ignore (Sx_types.set_lambda_name (Lambda l) "my-fn");
   assert_eq "lambda name mutated" (String "my-fn") (lambda_name (Lambda l))

hosts/ocaml/browser/sx_browser.ml

@@ -676,7 +676,11 @@ let () =
   let rec deep_equal a b =
     match a, b with
     | Nil, Nil -> true | Bool a, Bool b -> a = b
-    | Number a, Number b -> a = b | String a, String b -> a = b
+    | Integer a, Integer b -> a = b
+    | Number a, Number b -> a = b
+    | Integer a, Number b -> float_of_int a = b
+    | Number a, Integer b -> a = float_of_int b
+    | String a, String b -> a = b
     | Symbol a, Symbol b -> a = b | Keyword a, Keyword b -> a = b
     | (List a | ListRef { contents = a }), (List b | ListRef { contents = b }) ->
       List.length a = List.length b && List.for_all2 deep_equal a b

hosts/ocaml/lib/sx_primitives.ml

@@ -528,6 +528,183 @@ let () =
     | [Rational (_, d)] -> Integer d
     | [Integer _]       -> Integer 1
     | _ -> raise (Eval_error "denominator: expected rational or integer"));
+  (* printf-spec: apply one Tcl/printf format spec to one arg.
+     spec is like "%5.2f", "%-10s", "%x", "%c", "%d". Always starts with %
+     and ends with the conversion char.  Supports d i u x X o c s f e g.
+     Coerces arg to the right type per conversion. *)
+  register "printf-spec" (fun args ->
+    let spec_str, arg = match args with
+      | [String s; v] -> (s, v)
+      | _ -> raise (Eval_error "printf-spec: (spec arg)")
+    in
+    let n = String.length spec_str in
+    if n < 2 || spec_str.[0] <> '%' then
+      raise (Eval_error ("printf-spec: invalid spec " ^ spec_str));
+    let type_char = spec_str.[n - 1] in
+    let to_int v = match v with
+      | Integer i -> i
+      | Number f -> int_of_float f
+      | String s ->
+        let s = String.trim s in
+        (try int_of_string s
+         with _ ->
+           try int_of_float (float_of_string s)
+           with _ -> 0)
+      | Bool true -> 1 | Bool false -> 0
+      | _ -> 0
+    in
+    let to_float v = match v with
+      | Number f -> f
+      | Integer i -> float_of_int i
+      | String s ->
+        let s = String.trim s in
+        (try float_of_string s with _ -> 0.0)
+      | _ -> 0.0
+    in
+    let to_string v = match v with
+      | String s -> s
+      | Integer i -> string_of_int i
+      | Number f -> Sx_types.format_number f
+      | Bool true -> "1" | Bool false -> "0"
+      | Nil -> ""
+      | _ -> Sx_types.inspect v
+    in
+    try
+      match type_char with
+      | 'd' | 'i' ->
+        let fmt = Scanf.format_from_string spec_str "%d" in
+        String (Printf.sprintf fmt (to_int arg))
+      | 'u' ->
+        let fmt = Scanf.format_from_string spec_str "%u" in
+        String (Printf.sprintf fmt (to_int arg))
+      | 'x' ->
+        let fmt = Scanf.format_from_string spec_str "%x" in
+        String (Printf.sprintf fmt (to_int arg))
+      | 'X' ->
+        let fmt = Scanf.format_from_string spec_str "%X" in
+        String (Printf.sprintf fmt (to_int arg))
+      | 'o' ->
+        let fmt = Scanf.format_from_string spec_str "%o" in
+        String (Printf.sprintf fmt (to_int arg))
+      | 'c' ->
+        let n_val = to_int arg in
+        let body = String.sub spec_str 0 (n - 1) in
+        let fmt = Scanf.format_from_string (body ^ "s") "%s" in
+        String (Printf.sprintf fmt (String.make 1 (Char.chr (n_val land 0xff))))
+      | 's' ->
+        let fmt = Scanf.format_from_string spec_str "%s" in
+        String (Printf.sprintf fmt (to_string arg))
+      | 'f' ->
+        let fmt = Scanf.format_from_string spec_str "%f" in
+        String (Printf.sprintf fmt (to_float arg))
+      | 'e' ->
+        let fmt = Scanf.format_from_string spec_str "%e" in
+        String (Printf.sprintf fmt (to_float arg))
+      | 'E' ->
+        let fmt = Scanf.format_from_string spec_str "%E" in
+        String (Printf.sprintf fmt (to_float arg))
+      | 'g' ->
+        let fmt = Scanf.format_from_string spec_str "%g" in
+        String (Printf.sprintf fmt (to_float arg))
+      | 'G' ->
+        let fmt = Scanf.format_from_string spec_str "%G" in
+        String (Printf.sprintf fmt (to_float arg))
+      | _ -> raise (Eval_error ("printf-spec: unsupported conversion " ^ String.make 1 type_char))
+    with
+    | Eval_error _ as e -> raise e
+    | _ -> raise (Eval_error ("printf-spec: invalid format " ^ spec_str)));
+
+  (* scan-spec: apply one Tcl/scanf format spec to a string.
+     Returns (consumed-count . parsed-value), or nil on failure. *)
+  register "scan-spec" (fun args ->
+    let spec_str, str = match args with
+      | [String s; String input] -> (s, input)
+      | _ -> raise (Eval_error "scan-spec: (spec input)")
+    in
+    let n = String.length spec_str in
+    if n < 2 || spec_str.[0] <> '%' then
+      raise (Eval_error ("scan-spec: invalid spec " ^ spec_str));
+    let type_char = spec_str.[n - 1] in
+    let len = String.length str in
+    (* skip leading whitespace for non-%c/%s conversions *)
+    let i = ref 0 in
+    if type_char <> 'c' then
+      while !i < len && (str.[!i] = ' ' || str.[!i] = '\t' || str.[!i] = '\n') do incr i done;
+    let start = !i in
+    try
+      match type_char with
+      | 'd' | 'i' ->
+        let j = ref !i in
+        if !j < len && (str.[!j] = '-' || str.[!j] = '+') then incr j;
+        while !j < len && str.[!j] >= '0' && str.[!j] <= '9' do incr j done;
+        if !j > start && (str.[start] >= '0' && str.[start] <= '9'
+                         || (!j > start + 1 && (str.[start] = '-' || str.[start] = '+'))) then
+          let n_val = int_of_string (String.sub str start (!j - start)) in
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (Integer n_val);
+          Hashtbl.replace d "consumed" (Integer !j);
+          Dict d
+        else Nil
+      | 'x' | 'X' ->
+        let j = ref !i in
+        while !j < len &&
+              ((str.[!j] >= '0' && str.[!j] <= '9') ||
+               (str.[!j] >= 'a' && str.[!j] <= 'f') ||
+               (str.[!j] >= 'A' && str.[!j] <= 'F')) do incr j done;
+        if !j > start then
+          let n_val = int_of_string ("0x" ^ String.sub str start (!j - start)) in
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (Integer n_val);
+          Hashtbl.replace d "consumed" (Integer !j);
+          Dict d
+        else Nil
+      | 'o' ->
+        let j = ref !i in
+        while !j < len && str.[!j] >= '0' && str.[!j] <= '7' do incr j done;
+        if !j > start then
+          let n_val = int_of_string ("0o" ^ String.sub str start (!j - start)) in
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (Integer n_val);
+          Hashtbl.replace d "consumed" (Integer !j);
+          Dict d
+        else Nil
+      | 'f' | 'e' | 'g' ->
+        let j = ref !i in
+        if !j < len && (str.[!j] = '-' || str.[!j] = '+') then incr j;
+        while !j < len && ((str.[!j] >= '0' && str.[!j] <= '9') || str.[!j] = '.') do incr j done;
+        if !j < len && (str.[!j] = 'e' || str.[!j] = 'E') then begin
+          incr j;
+          if !j < len && (str.[!j] = '-' || str.[!j] = '+') then incr j;
+          while !j < len && str.[!j] >= '0' && str.[!j] <= '9' do incr j done
+        end;
+        if !j > start then
+          let f_val = float_of_string (String.sub str start (!j - start)) in
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (Number f_val);
+          Hashtbl.replace d "consumed" (Integer !j);
+          Dict d
+        else Nil
+      | 's' ->
+        let j = ref !i in
+        while !j < len && str.[!j] <> ' ' && str.[!j] <> '\t' && str.[!j] <> '\n' do incr j done;
+        if !j > start then
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (String (String.sub str start (!j - start)));
+          Hashtbl.replace d "consumed" (Integer !j);
+          Dict d
+        else Nil
+      | 'c' ->
+        if !i < len then
+          let d = Hashtbl.create 2 in
+          Hashtbl.replace d "value" (Integer (Char.code str.[!i]));
+          Hashtbl.replace d "consumed" (Integer (!i + 1));
+          Dict d
+        else Nil
+      | _ -> raise (Eval_error ("scan-spec: unsupported conversion " ^ String.make 1 type_char))
+    with
+    | Eval_error _ as e -> raise e
+    | _ -> Nil);
+
   register "parse-int" (fun args ->
     let parse_leading_int s =
       let len = String.length s in
@@ -582,11 +759,22 @@ let () =
       (List lb | ListRef { contents = lb }) ->
       List.length la = List.length lb &&
       List.for_all2 safe_eq la lb
-    (* Dict: check __host_handle for DOM node identity *)
+    (* Dict: __host_handle identity for DOM-wrapped dicts; otherwise
+       structural equality over keys + values. *)
     | Dict a, Dict b ->
       (match Hashtbl.find_opt a "__host_handle", Hashtbl.find_opt b "__host_handle" with
        | Some (Number ha), Some (Number hb) -> ha = hb
-       | _ -> false)
+       | Some _, _ | _, Some _ -> false
+       | None, None ->
+         Hashtbl.length a = Hashtbl.length b &&
+         (let eq = ref true in
+          Hashtbl.iter (fun k v ->
+            if !eq then
+              match Hashtbl.find_opt b k with
+              | Some v' -> if not (safe_eq v v') then eq := false
+              | None -> eq := false
+          ) a;
+          !eq))
     (* Records: same type + structurally equal fields *)
     | Record a, Record b ->
       a.r_type.rt_uid = b.r_type.rt_uid &&
@@ -3399,6 +3587,204 @@ let () =
       Nil
     | _ -> raise (Eval_error "channel-set-blocking!: (channel bool)"));
 
+  (* === Exec === run an external process; capture stdout *)
+  register "exec-process" (fun args ->
+    let items = match args with
+      | [List xs] | [ListRef { contents = xs }] -> xs
+      | _ -> raise (Eval_error "exec-process: (cmd-list)")
+    in
+    let argv = Array.of_list (List.map (function
+      | String s -> s
+      | v -> Sx_types.inspect v
+    ) items) in
+    if Array.length argv = 0 then raise (Eval_error "exec: empty command");
+    let (out_r, out_w) = Unix.pipe () in
+    let (err_r, err_w) = Unix.pipe () in
+    let pid =
+      try Unix.create_process argv.(0) argv Unix.stdin out_w err_w
+      with Unix.Unix_error (e, _, _) ->
+        Unix.close out_r; Unix.close out_w;
+        Unix.close err_r; Unix.close err_w;
+        raise (Eval_error ("exec: " ^ Unix.error_message e))
+    in
+    Unix.close out_w;
+    Unix.close err_w;
+    let buf = Buffer.create 256 in
+    let errbuf = Buffer.create 64 in
+    let chunk = Bytes.create 4096 in
+    let read_all fd target =
+      try
+        let stop = ref false in
+        while not !stop do
+          let n = Unix.read fd chunk 0 (Bytes.length chunk) in
+          if n = 0 then stop := true
+          else Buffer.add_subbytes target chunk 0 n
+        done
+      with _ -> ()
+    in
+    read_all out_r buf;
+    read_all err_r errbuf;
+    Unix.close out_r;
+    Unix.close err_r;
+    let (_, status) = Unix.waitpid [] pid in
+    let exit_code = match status with
+      | Unix.WEXITED n -> n
+      | Unix.WSIGNALED _ | Unix.WSTOPPED _ -> 1
+    in
+    let s = Buffer.contents buf in
+    let trimmed =
+      if String.length s > 0 && s.[String.length s - 1] = '\n'
+      then String.sub s 0 (String.length s - 1) else s
+    in
+    if exit_code <> 0 then
+      raise (Eval_error ("exec: child exited " ^ string_of_int exit_code
+                         ^ (if Buffer.length errbuf > 0
+                            then ": " ^ Buffer.contents errbuf
+                            else "")))
+    else String trimmed);
+
+  (* exec-pipeline: takes a list of words like Tcl `exec` would receive.
+     Recognizes `|` as a stage separator and `> file`, `>> file`, `< file`,
+     `2>@1` (stderr→stdout), `2> file`. Returns trimmed stdout of the last
+     stage; raises Eval_error if the last stage exits non-zero. *)
+  register "exec-pipeline" (fun args ->
+    let items = match args with
+      | [List xs] | [ListRef { contents = xs }] -> xs
+      | _ -> raise (Eval_error "exec-pipeline: (word-list)")
+    in
+    let words = List.map (function
+      | String s -> s
+      | v -> Sx_types.inspect v
+    ) items in
+    if words = [] then raise (Eval_error "exec: empty command");
+    let split_stages ws =
+      let rec loop acc cur = function
+        | [] -> List.rev (List.rev cur :: acc)
+        | "|" :: rest -> loop (List.rev cur :: acc) [] rest
+        | w :: rest -> loop acc (w :: cur) rest
+      in
+      loop [] [] ws
+    in
+    let extract_redirs ws =
+      let in_path = ref None in
+      let out_path = ref None in
+      let out_append = ref false in
+      let err_path = ref None in
+      let merge_err = ref false in
+      let cleaned = ref [] in
+      let rec loop = function
+        | [] -> ()
+        | "<" :: p :: rest -> in_path := Some p; loop rest
+        | ">" :: p :: rest -> out_path := Some p; out_append := false; loop rest
+        | ">>" :: p :: rest -> out_path := Some p; out_append := true; loop rest
+        | "2>@1" :: rest -> merge_err := true; loop rest
+        | "2>" :: p :: rest -> err_path := Some p; loop rest
+        | w :: rest -> cleaned := w :: !cleaned; loop rest
+      in
+      loop ws;
+      (List.rev !cleaned, !in_path, !out_path, !out_append, !err_path, !merge_err)
+    in
+    let stages = List.map extract_redirs (split_stages words) in
+    if stages = [] then raise (Eval_error "exec: no stages");
+    let n = List.length stages in
+    let pipes = Array.init (max 0 (n - 1)) (fun _ -> Unix.pipe ()) in
+    let (final_r, final_w) = Unix.pipe () in
+    let (errstash_r, errstash_w) = Unix.pipe () in
+    let pids = ref [] in
+    let close_safe fd = try Unix.close fd with _ -> () in
+    let open_in_redir = function
+      | None -> Unix.stdin
+      | Some path ->
+        (try Unix.openfile path [Unix.O_RDONLY] 0o644
+         with Unix.Unix_error (e, _, _) ->
+           raise (Eval_error ("exec: open <" ^ path ^ ": " ^ Unix.error_message e)))
+    in
+    let open_out_redir path append =
+      let flags = Unix.O_WRONLY :: Unix.O_CREAT :: (if append then [Unix.O_APPEND] else [Unix.O_TRUNC]) in
+      try Unix.openfile path flags 0o644
+      with Unix.Unix_error (e, _, _) ->
+        raise (Eval_error ("exec: open >" ^ path ^ ": " ^ Unix.error_message e))
+    in
+    let stages_arr = Array.of_list stages in
+    (try
+      Array.iteri (fun i (cleaned, ip, op, app, ep, merge) ->
+        if cleaned = [] then raise (Eval_error "exec: empty stage in pipeline");
+        let argv = Array.of_list cleaned in
+        let stdin_fd =
+          if i = 0 then open_in_redir ip
+          else fst pipes.(i - 1)
+        in
+        let stdout_fd =
+          if i = n - 1 then
+            (match op with
+             | None -> final_w
+             | Some path -> open_out_redir path app)
+          else snd pipes.(i)
+        in
+        let stderr_fd =
+          if merge then stdout_fd
+          else (match ep with
+                | None -> if i = n - 1 then errstash_w else Unix.stderr
+                | Some path -> open_out_redir path false)
+        in
+        let pid =
+          try Unix.create_process argv.(0) argv stdin_fd stdout_fd stderr_fd
+          with Unix.Unix_error (e, _, _) ->
+            raise (Eval_error ("exec: " ^ argv.(0) ^ ": " ^ Unix.error_message e))
+        in
+        pids := pid :: !pids;
+        if i > 0 then close_safe (fst pipes.(i - 1));
+        if i < n - 1 then close_safe (snd pipes.(i));
+        if i = 0 && ip <> None then close_safe stdin_fd;
+        if i = n - 1 && op <> None then close_safe stdout_fd;
+        if not merge && ep <> None then close_safe stderr_fd
+      ) stages_arr
+    with e ->
+      close_safe final_r; close_safe final_w;
+      close_safe errstash_r; close_safe errstash_w;
+      Array.iter (fun (a,b) -> close_safe a; close_safe b) pipes;
+      raise e);
+    close_safe final_w;
+    close_safe errstash_w;
+    let buf = Buffer.create 256 in
+    let errbuf = Buffer.create 64 in
+    let chunk = Bytes.create 4096 in
+    let read_all fd target =
+      try
+        let stop = ref false in
+        while not !stop do
+          let r = Unix.read fd chunk 0 (Bytes.length chunk) in
+          if r = 0 then stop := true
+          else Buffer.add_subbytes target chunk 0 r
+        done
+      with _ -> ()
+    in
+    read_all final_r buf;
+    read_all errstash_r errbuf;
+    close_safe final_r;
+    close_safe errstash_r;
+    let exit_codes = List.rev_map (fun pid ->
+      let (_, st) = Unix.waitpid [] pid in
+      match st with
+      | Unix.WEXITED c -> c
+      | _ -> 1
+    ) !pids in
+    let final_code = match List.rev exit_codes with
+      | [] -> 0
+      | last :: _ -> last
+    in
+    let s = Buffer.contents buf in
+    let trimmed =
+      if String.length s > 0 && s.[String.length s - 1] = '\n'
+      then String.sub s 0 (String.length s - 1) else s
+    in
+    if final_code <> 0 then
+      raise (Eval_error ("exec: pipeline last stage exited " ^ string_of_int final_code
+                         ^ (if Buffer.length errbuf > 0
+                            then ": " ^ Buffer.contents errbuf
+                            else "")))
+    else String trimmed);
+
   (* === Sockets === wrapping Unix.socket/connect/bind/listen/accept *)
   let resolve_inet_addr host =
     if host = "" || host = "0.0.0.0" then Unix.inet_addr_any
@@ -3734,4 +4120,42 @@ let () =
         | k :: v :: rest -> ignore (env_bind child (value_to_string k) v); add_bindings rest
         | [_] -> raise (Eval_error "env-extend: odd number of key-val pairs") in
       add_bindings pairs;
-      Env child)
+      Env child);
+
+  (* JIT cache control & observability — backed by refs in sx_types.ml to
+     avoid creating a sx_primitives → sx_vm dependency cycle. sx_vm reads
+     these refs to decide when to JIT. *)
+  register "jit-stats" (fun _args ->
+    let d = Hashtbl.create 8 in
+    Hashtbl.replace d "threshold"        (Number (float_of_int !Sx_types.jit_threshold));
+    Hashtbl.replace d "budget"           (Number (float_of_int !Sx_types.jit_budget));
+    Hashtbl.replace d "cache-size"       (Number (float_of_int (Sx_types.jit_cache_size ())));
+    Hashtbl.replace d "compiled"         (Number (float_of_int !Sx_types.jit_compiled_count));
+    Hashtbl.replace d "compile-failed"   (Number (float_of_int !Sx_types.jit_skipped_count));
+    Hashtbl.replace d "below-threshold"  (Number (float_of_int !Sx_types.jit_threshold_skipped_count));
+    Hashtbl.replace d "evicted"          (Number (float_of_int !Sx_types.jit_evicted_count));
+    Dict d);
+  register "jit-set-threshold!" (fun args ->
+    match args with
+    | [Number n] -> Sx_types.jit_threshold := int_of_float n; Nil
+    | [Integer n] -> Sx_types.jit_threshold := n; Nil
+    | _ -> raise (Eval_error "jit-set-threshold!: (n) where n is integer"));
+  register "jit-set-budget!" (fun args ->
+    match args with
+    | [Number n] -> Sx_types.jit_budget := int_of_float n; Nil
+    | [Integer n] -> Sx_types.jit_budget := n; Nil
+    | _ -> raise (Eval_error "jit-set-budget!: (n) where n is integer"));
+  register "jit-reset-cache!" (fun _args ->
+    (* Phase 3 manual cache reset — clear all compiled VmClosures.
+       Hot paths will re-JIT on next call (after re-hitting threshold). *)
+    Queue.iter (fun (_, v) ->
+      match v with Lambda l -> l.l_compiled <- None | _ -> ()
+    ) Sx_types.jit_cache_queue;
+    Queue.clear Sx_types.jit_cache_queue;
+    Nil);
+  register "jit-reset-counters!" (fun _args ->
+    Sx_types.jit_compiled_count := 0;
+    Sx_types.jit_skipped_count := 0;
+    Sx_types.jit_threshold_skipped_count := 0;
+    Sx_types.jit_evicted_count := 0;
+    Nil)

hosts/ocaml/lib/sx_types.ml

@@ -138,6 +138,8 @@ and lambda = {
   l_closure : env;
   mutable l_name : string option;
   mutable l_compiled : vm_closure option;  (** Lazy JIT cache *)
+  mutable l_call_count : int;              (** Tiered-compilation counter — JIT after threshold calls *)
+  l_uid : int;                             (** Unique identity for LRU cache tracking *)
 }
 
 and component = {
@@ -444,12 +446,60 @@ let unwrap_env_val = function
   | Env e -> e
   | _ -> raise (Eval_error "make_lambda: expected env for closure")
 
+(* Lambda UID — minted on construction, used as LRU cache key (Phase 2). *)
+let lambda_uid_counter = ref 0
+let next_lambda_uid () = incr lambda_uid_counter; !lambda_uid_counter
+
 let make_lambda params body closure =
   let ps = match params with
     | List items -> List.map value_to_string items
     | _ -> value_to_string_list params
   in
-  Lambda { l_params = ps; l_body = body; l_closure = unwrap_env_val closure; l_name = None; l_compiled = None }
+  Lambda { l_params = ps; l_body = body; l_closure = unwrap_env_val closure; l_name = None; l_compiled = None; l_call_count = 0; l_uid = next_lambda_uid () }
+
+(** {1 JIT cache control}
+
+    Tiered compilation: only JIT a lambda after it's been called [jit_threshold]
+    times. This filters out one-shot lambdas (test harness, dynamic eval, REPLs)
+    so they never enter the JIT cache. Counters are exposed to SX as [(jit-stats)].
+
+    These live here (in sx_types) rather than sx_vm so [sx_primitives] can read
+    them without creating a sx_primitives → sx_vm dependency cycle. *)
+let jit_threshold = ref 4
+let jit_compiled_count = ref 0
+let jit_skipped_count = ref 0
+let jit_threshold_skipped_count = ref 0
+
+(** {2 JIT cache LRU eviction — Phase 2}
+
+    Once a lambda crosses the threshold, its [l_compiled] slot is filled.
+    To bound memory under unbounded compilation pressure, track all live
+    compiled lambdas in FIFO order, and evict from the head when the count
+    exceeds [jit_budget].
+
+    [lambda_uid_counter] mints unique identities on lambda creation; the
+    LRU queue holds these IDs paired with a back-reference to the lambda
+    so we can clear its [l_compiled] slot on eviction.
+
+    Budget of 0 = no cache (disable JIT entirely).
+    Budget of [max_int] = unbounded (legacy behaviour). Default 5000 is
+    a generous ceiling for any realistic page; the test harness compiles
+    ~3000 distinct one-shot lambdas in a full run but tiered compilation
+    (Phase 1) means most never enter the cache, so steady-state count
+    stays small.
+
+    [lambda_uid_counter] and [next_lambda_uid] are defined above
+    [make_lambda] (which uses them on construction). *)
+let jit_budget = ref 5000
+let jit_evicted_count = ref 0
+
+(** Live compiled lambdas in FIFO order — front is oldest, back is newest.
+    Each entry is (uid, lambda); on eviction we clear lambda.l_compiled and
+    drop from the queue. Using a mutable Queue rather than a hand-rolled
+    linked list because eviction is amortised O(1) at the head and inserts
+    are O(1) at the tail. *)
+let jit_cache_queue : (int * value) Queue.t = Queue.create ()
+let jit_cache_size () = Queue.length jit_cache_queue
 
 let make_component name params has_children body closure affinity =
   let n = value_to_string name in

hosts/ocaml/lib/sx_vm.ml

@@ -57,6 +57,9 @@ let () = Sx_types._convert_vm_suspension := (fun exn ->
 let jit_compile_ref : (lambda -> (string, value) Hashtbl.t -> vm_closure option) ref =
   ref (fun _ _ -> None)
 
+(* JIT threshold and counters live in Sx_types so primitives can read them
+   without creating a sx_primitives → sx_vm dependency cycle. *)
+
 (** Sentinel closure indicating JIT compilation was attempted and failed.
     Prevents retrying compilation on every call. *)
 let jit_failed_sentinel = {
@@ -364,13 +367,29 @@ and vm_call vm f args =
      | None ->
        if l.l_name <> None
        then begin
+         l.l_call_count <- l.l_call_count + 1;
+         if l.l_call_count >= !Sx_types.jit_threshold && !Sx_types.jit_budget > 0 then begin
            l.l_compiled <- Some jit_failed_sentinel;
            match !jit_compile_ref l vm.globals with
            | Some cl ->
+             incr Sx_types.jit_compiled_count;
              l.l_compiled <- Some cl;
+             (* Phase 2 LRU: track this compiled lambda; if cache exceeds budget,
+                evict the oldest by clearing its l_compiled slot. *)
+             Queue.add (l.l_uid, Lambda l) Sx_types.jit_cache_queue;
+             while Queue.length Sx_types.jit_cache_queue > !Sx_types.jit_budget do
+               (match Queue.pop Sx_types.jit_cache_queue with
+                | (_, Lambda ev_l) -> ev_l.l_compiled <- None; incr Sx_types.jit_evicted_count
+                | _ -> ())
+             done;
              push_closure_frame vm cl args
            | None ->
+             incr Sx_types.jit_skipped_count;
              push vm (cek_call_or_suspend vm f (List args))
+         end else begin
+           incr Sx_types.jit_threshold_skipped_count;
+           push vm (cek_call_or_suspend vm f (List args))
+         end
        end
        else
          push vm (cek_call_or_suspend vm f (List args)))

lib/apl/parser.sx

@@ -25,8 +25,9 @@
 ; Glyph classification sets
 ; ============================================================
 
-(define apl-parse-op-glyphs
+(define
-  (list "/" "\\" "¨" "⍨" "∘" "." "⍣" "⍤" "⍥" "@"))
+  apl-parse-op-glyphs
+  (list "/" "⌿" "\\" "⍀" "¨" "⍨" "∘" "." "⍣" "⍤" "⍥" "@"))
 
 (define
   apl-parse-fn-glyphs
@@ -82,22 +83,48 @@
     "⍎"
     "⍕"))
 
-(define apl-quad-fn-names (list "⎕FMT"))
+(define apl-quad-fn-names (list "⎕FMT" "⎕←"))
 
-(define
+(define apl-known-fn-names (list))
-  apl-parse-op-glyph?
-  (fn (v) (some (fn (g) (= g v)) apl-parse-op-glyphs)))
 
 ; ============================================================
 ; Token accessors
 ; ============================================================
 
+(define
+  apl-collect-fn-bindings
+  (fn
+    (stmt-groups)
+    (set! apl-known-fn-names (list))
+    (for-each
+      (fn
+        (toks)
+        (when
+          (and
+            (>= (len toks) 3)
+            (= (tok-type (nth toks 0)) :name)
+            (= (tok-type (nth toks 1)) :assign)
+            (= (tok-type (nth toks 2)) :lbrace))
+          (set!
+            apl-known-fn-names
+            (cons (tok-val (nth toks 0)) apl-known-fn-names))))
+      stmt-groups)))
+
+(define
+  apl-parse-op-glyph?
+  (fn (v) (some (fn (g) (= g v)) apl-parse-op-glyphs)))
+
 (define
   apl-parse-fn-glyph?
   (fn (v) (some (fn (g) (= g v)) apl-parse-fn-glyphs)))
 
 (define tok-type (fn (tok) (get tok :type)))
 
+; ============================================================
+; Collect trailing operators starting at index i
+; Returns {:ops (op ...) :end new-i}
+; ============================================================
+
 (define tok-val (fn (tok) (get tok :value)))
 
 (define
@@ -107,8 +134,8 @@
     (and (= (tok-type tok) :glyph) (apl-parse-op-glyph? (tok-val tok)))))
 
 ; ============================================================
-; Collect trailing operators starting at index i
+; Build a derived-fn node by chaining operators left-to-right
-; Returns {:ops (op ...) :end new-i}
+; (+/¨  →  (:derived-fn "¨" (:derived-fn "/" (:fn-glyph "+"))))
 ; ============================================================
 
 (define
@@ -119,15 +146,17 @@
       (and (= (tok-type tok) :glyph) (apl-parse-fn-glyph? (tok-val tok)))
       (and
         (= (tok-type tok) :name)
-        (some (fn (q) (= q (tok-val tok))) apl-quad-fn-names)))))
+        (or
+          (some (fn (q) (= q (tok-val tok))) apl-quad-fn-names)
+          (some (fn (q) (= q (tok-val tok))) apl-known-fn-names))))))
+
+; ============================================================
+; Find matching close bracket/paren/brace
+; Returns the index of the matching close token
+; ============================================================
 
 (define collect-ops (fn (tokens i) (collect-ops-loop tokens i (list))))
 
-; ============================================================
-; Build a derived-fn node by chaining operators left-to-right
-; (+/¨  →  (:derived-fn "¨" (:derived-fn "/" (:fn-glyph "+"))))
-; ============================================================
-
 (define
   collect-ops-loop
   (fn
@@ -143,8 +172,10 @@
           {:end i :ops acc})))))
 
 ; ============================================================
-; Find matching close bracket/paren/brace
+; Segment collection: scan tokens left-to-right, building
-; Returns the index of the matching close token
+; a list of {:kind "val"/"fn" :node ast} segments.
+; Operators following function glyphs are merged into
+; derived-fn nodes during this pass.
 ; ============================================================
 
 (define
@@ -163,12 +194,20 @@
     (find-matching-close-loop tokens start open-type close-type 1)))
 
 ; ============================================================
-; Segment collection: scan tokens left-to-right, building
+; Build tree from segment list
-; a list of {:kind "val"/"fn" :node ast} segments.
+;
-; Operators following function glyphs are merged into
+; The segments are in left-to-right order.
-; derived-fn nodes during this pass.
+; APL evaluates right-to-left, so the LEFTMOST function is
+; the outermost (last-evaluated) node.
+;
+; Patterns:
+;   [val]              → val node
+;   [fn val ...]       → (:monad fn (build-tree rest))
+;   [val fn val ...]   → (:dyad fn val (build-tree rest))
+;   [val val ...]      → (:vec val1 val2 ...) — strand
 ; ============================================================
 
+; Find the index of the first function segment (returns -1 if none)
 (define
   find-matching-close-loop
   (fn
@@ -208,21 +247,9 @@
   collect-segments
   (fn (tokens) (collect-segments-loop tokens 0 (list))))
 
-; ============================================================
+; Build an array node from 0..n value segments
-; Build tree from segment list
+; If n=1 → return that segment's node
-;
+; If n>1 → return (:vec node1 node2 ...)
-; The segments are in left-to-right order.
-; APL evaluates right-to-left, so the LEFTMOST function is
-; the outermost (last-evaluated) node.
-;
-; Patterns:
-;   [val]              → val node
-;   [fn val ...]       → (:monad fn (build-tree rest))
-;   [val fn val ...]   → (:dyad fn val (build-tree rest))
-;   [val val ...]      → (:vec val1 val2 ...) — strand
-; ============================================================
-
-; Find the index of the first function segment (returns -1 if none)
 (define
   collect-segments-loop
   (fn
@@ -242,36 +269,71 @@
             ((= tt :str)
               (collect-segments-loop tokens (+ i 1) (append acc {:kind "val" :node (list :str tv)})))
             ((= tt :name)
-              (if
+              (cond
-                (some (fn (q) (= q tv)) apl-quad-fn-names)
+                ((and (< (+ i 1) (len tokens)) (= (tok-type (nth tokens (+ i 1))) :assign))
+                  (let
+                    ((rhs-tokens (slice tokens (+ i 2) (len tokens))))
+                    (let
+                      ((rhs-expr (parse-apl-expr rhs-tokens)))
+                      (collect-segments-loop
+                        tokens
+                        (len tokens)
+                        (append acc {:kind "val" :node (list :assign-expr tv rhs-expr)})))))
+                ((some (fn (q) (= q tv)) apl-quad-fn-names)
                   (let
                     ((op-result (collect-ops tokens (+ i 1))))
                     (let
-                    ((ops (get op-result :ops)) (ni (get op-result :end)))
+                      ((ops (get op-result :ops))
+                        (ni (get op-result :end)))
                       (let
                         ((fn-node (build-derived-fn (list :fn-glyph tv) ops)))
                         (collect-segments-loop
                           tokens
                           ni
-                        (append acc {:kind "fn" :node fn-node})))))
+                          (append acc {:kind "fn" :node fn-node}))))))
+                ((some (fn (q) (= q tv)) apl-known-fn-names)
+                  (let
+                    ((op-result (collect-ops tokens (+ i 1))))
+                    (let
+                      ((ops (get op-result :ops))
+                        (ni (get op-result :end)))
+                      (let
+                        ((fn-node (build-derived-fn (list :fn-name tv) ops)))
+                        (collect-segments-loop
+                          tokens
+                          ni
+                          (append acc {:kind "fn" :node fn-node}))))))
+                (else
                   (let
                     ((br (maybe-bracket (list :name tv) tokens (+ i 1))))
                     (collect-segments-loop
                       tokens
                       (nth br 1)
-                    (append acc {:kind "val" :node (nth br 0)})))))
+                      (append acc {:kind "val" :node (nth br 0)}))))))
             ((= tt :lparen)
               (let
                 ((end (find-matching-close tokens (+ i 1) :lparen :rparen)))
                 (let
                   ((inner-tokens (slice tokens (+ i 1) end))
                     (after (+ end 1)))
+                  (let
+                    ((inner-segs (collect-segments inner-tokens)))
+                    (if
+                      (and
+                        (>= (len inner-segs) 2)
+                        (every? (fn (s) (= (get s :kind) "fn")) inner-segs))
+                      (let
+                        ((train-node (cons :train (map (fn (s) (get s :node)) inner-segs))))
+                        (collect-segments-loop
+                          tokens
+                          after
+                          (append acc {:kind "fn" :node train-node})))
                       (let
                         ((br (maybe-bracket (parse-apl-expr inner-tokens) tokens after)))
                         (collect-segments-loop
                           tokens
                           (nth br 1)
-                      (append acc {:kind "val" :node (nth br 0)}))))))
+                          (append acc {:kind "val" :node (nth br 0)}))))))))
             ((= tt :lbrace)
               (let
                 ((end (find-matching-close tokens (+ i 1) :lbrace :rbrace)))
@@ -282,10 +344,22 @@
             ((= tt :glyph)
               (cond
                 ((or (= tv "⍺") (= tv "⍵"))
+                  (if
+                    (and
+                      (< (+ i 1) (len tokens))
+                      (= (tok-type (nth tokens (+ i 1))) :assign))
+                    (let
+                      ((rhs-tokens (slice tokens (+ i 2) (len tokens))))
+                      (let
+                        ((rhs-expr (parse-apl-expr rhs-tokens)))
+                        (collect-segments-loop
+                          tokens
+                          (len tokens)
+                          (append acc {:kind "val" :node (list :assign-expr tv rhs-expr)}))))
                     (collect-segments-loop
                       tokens
                       (+ i 1)
-                    (append acc {:kind "val" :node (list :name tv)})))
+                      (append acc {:kind "val" :node (list :name tv)}))))
                 ((= tv "∇")
                   (collect-segments-loop
                     tokens
@@ -340,15 +414,34 @@
                             ni
                             (append acc {:kind "fn" :node fn-node})))))))
                 ((apl-parse-op-glyph? tv)
-                  (collect-segments-loop tokens (+ i 1) acc))
+                  (if
+                    (or (= tv "/") (= tv "⌿") (= tv "\\") (= tv "⍀"))
+                    (let
+                      ((next-i (+ i 1)))
+                      (let
+                        ((next-tok (if (< next-i n) (nth tokens next-i) nil)))
+                        (let
+                          ((mod (if (and next-tok (= (tok-type next-tok) :glyph) (or (= (get next-tok :value) "⍨") (= (get next-tok :value) "¨"))) (get next-tok :value) nil))
+                            (base-fn-node (list :fn-glyph tv)))
+                          (let
+                            ((node (if mod (list :derived-fn mod base-fn-node) base-fn-node))
+                              (advance (if mod 2 1)))
+                            (collect-segments-loop
+                              tokens
+                              (+ i advance)
+                              (append acc {:kind "fn" :node node}))))))
+                    (collect-segments-loop tokens (+ i 1) acc)))
                 (true (collect-segments-loop tokens (+ i 1) acc))))
             (true (collect-segments-loop tokens (+ i 1) acc))))))))
 
 (define find-first-fn (fn (segs) (find-first-fn-loop segs 0)))
 
-; Build an array node from 0..n value segments
+
-; If n=1 → return that segment's node
+; ============================================================
-; If n>1 → return (:vec node1 node2 ...)
+; Split token list on statement separators (diamond / newline)
+; Only splits at depth 0 (ignores separators inside { } or ( ) )
+; ============================================================
+
 (define
   find-first-fn-loop
   (fn
@@ -370,10 +463,9 @@
       (get (first segs) :node)
       (cons :vec (map (fn (s) (get s :node)) segs)))))
 
-
 ; ============================================================
-; Split token list on statement separators (diamond / newline)
+; Parse a dfn body (tokens between { and })
-; Only splits at depth 0 (ignores separators inside { } or ( ) )
+; Handles guard expressions: cond : expr
 ; ============================================================
 
 (define
@@ -408,11 +500,6 @@
   split-statements
   (fn (tokens) (split-statements-loop tokens (list) (list) 0)))
 
-; ============================================================
-; Parse a dfn body (tokens between { and })
-; Handles guard expressions: cond : expr
-; ============================================================
-
 (define
   split-statements-loop
   (fn
@@ -467,6 +554,10 @@
       ((stmt-groups (split-statements tokens)))
       (let ((stmts (map parse-dfn-stmt stmt-groups))) (cons :dfn stmts)))))
 
+; ============================================================
+; Parse a single statement (assignment or expression)
+; ============================================================
+
 (define
   parse-dfn-stmt
   (fn
@@ -483,12 +574,17 @@
             (parse-apl-expr body-tokens)))
         (parse-stmt tokens)))))
 
+; ============================================================
+; Parse an expression from a flat token list
+; ============================================================
+
 (define
   find-top-level-colon
   (fn (tokens i) (find-top-level-colon-loop tokens i 0)))
 
 ; ============================================================
-; Parse a single statement (assignment or expression)
+; Main entry point
+; parse-apl: string → AST
 ; ============================================================
 
 (define
@@ -508,10 +604,6 @@
           ((and (= tt :colon) (= depth 0)) i)
           (true (find-top-level-colon-loop tokens (+ i 1) depth)))))))
 
-; ============================================================
-; Parse an expression from a flat token list
-; ============================================================
-
 (define
   parse-stmt
   (fn
@@ -526,11 +618,6 @@
         (parse-apl-expr (slice tokens 2)))
       (parse-apl-expr tokens))))
 
-; ============================================================
-; Main entry point
-; parse-apl: string → AST
-; ============================================================
-
 (define
   parse-apl-expr
   (fn
@@ -547,13 +634,52 @@
       ((tokens (apl-tokenize src)))
       (let
         ((stmt-groups (split-statements tokens)))
+        (begin
+          (apl-collect-fn-bindings stmt-groups)
           (if
             (= (len stmt-groups) 0)
             nil
             (if
               (= (len stmt-groups) 1)
               (parse-stmt (first stmt-groups))
-            (cons :program (map parse-stmt stmt-groups))))))))
+              (cons :program (map parse-stmt stmt-groups)))))))))
+
+(define
+  split-bracket-loop
+  (fn
+    (tokens current acc depth)
+    (if
+      (= (len tokens) 0)
+      (append acc (list current))
+      (let
+        ((tok (first tokens)) (more (rest tokens)))
+        (let
+          ((tt (tok-type tok)))
+          (cond
+            ((or (= tt :lparen) (= tt :lbrace) (= tt :lbracket))
+              (split-bracket-loop
+                more
+                (append current (list tok))
+                acc
+                (+ depth 1)))
+            ((or (= tt :rparen) (= tt :rbrace) (= tt :rbracket))
+              (split-bracket-loop
+                more
+                (append current (list tok))
+                acc
+                (- depth 1)))
+            ((and (= tt :semi) (= depth 0))
+              (split-bracket-loop
+                more
+                (list)
+                (append acc (list current))
+                depth))
+            (else
+              (split-bracket-loop more (append current (list tok)) acc depth))))))))
+
+(define
+  split-bracket-content
+  (fn (tokens) (split-bracket-loop tokens (list) (list) 0)))
 
 (define
   maybe-bracket
@@ -568,9 +694,18 @@
         (let
           ((inner-tokens (slice tokens (+ after 1) end))
             (next-after (+ end 1)))
+          (let
+            ((sections (split-bracket-content inner-tokens)))
+            (if
+              (= (len sections) 1)
               (let
                 ((idx-expr (parse-apl-expr inner-tokens)))
                 (let
                   ((indexed (list :dyad (list :fn-glyph "⌷") idx-expr val-node)))
-              (maybe-bracket indexed tokens next-after)))))
+                  (maybe-bracket indexed tokens next-after)))
+              (let
+                ((axis-exprs (map (fn (toks) (if (= (len toks) 0) :all (parse-apl-expr toks))) sections)))
+                (let
+                  ((indexed (cons :bracket (cons val-node axis-exprs))))
+                  (maybe-bracket indexed tokens next-after)))))))
       (list val-node after))))

lib/apl/runtime.sx

@@ -65,10 +65,30 @@
             (get a :shape)
             (map (fn (x) (f x sv)) (get a :ravel)))))
       (else
-        (if
+        (let
-          (equal? (get a :shape) (get b :shape))
+          ((a-shape (get a :shape)) (b-shape (get b :shape)))
-          (make-array (get a :shape) (map f (get a :ravel) (get b :ravel)))
+          (cond
-          (error "length error: shape mismatch"))))))
+            ((equal? a-shape b-shape)
+              (make-array a-shape (map f (get a :ravel) (get b :ravel))))
+            ((and (= (len a-shape) 1) (> (len b-shape) 1))
+              (make-array
+                (append a-shape b-shape)
+                (flatten
+                  (map
+                    (fn
+                      (x)
+                      (get (broadcast-dyadic f (apl-scalar x) b) :ravel))
+                    (get a :ravel)))))
+            ((and (= (len b-shape) 1) (> (len a-shape) 1))
+              (make-array
+                (append a-shape b-shape)
+                (flatten
+                  (map
+                    (fn
+                      (acell)
+                      (get (broadcast-dyadic f (apl-scalar acell) b) :ravel))
+                    (get a :ravel)))))
+            (else (error "length error: shape mismatch"))))))))
 
 ; ============================================================
 ; Arithmetic primitives
@@ -808,6 +828,125 @@
           ((picked (map (fn (i) (nth arr-ravel i)) kept)))
           (make-array (list (len picked)) picked))))))
 
+(define
+  apl-compress-first
+  (fn
+    (mask arr)
+    (let
+      ((mask-ravel (get mask :ravel))
+        (shape (get arr :shape))
+        (ravel (get arr :ravel)))
+      (if
+        (< (len shape) 2)
+        (apl-compress mask arr)
+        (let
+          ((rows (first shape)) (cols (last shape)))
+          (let
+            ((kept-rows (filter (fn (i) (not (= 0 (nth mask-ravel i)))) (range 0 rows))))
+            (let
+              ((new-ravel (reduce (fn (acc r) (append acc (map (fn (j) (nth ravel (+ (* r cols) j))) (range 0 cols)))) (list) kept-rows)))
+              (make-array (cons (len kept-rows) (rest shape)) new-ravel))))))))
+
+(define
+  apl-where
+  (fn
+    (arr)
+    (let
+      ((ravel (get arr :ravel)) (io (disclose (apl-quad-io))))
+      (let
+        ((indices (filter (fn (i) (not (= (nth ravel i) 0))) (range 0 (len ravel)))))
+        (apl-vector (map (fn (i) (+ i io)) indices))))))
+
+(define
+  apl-interval-index
+  (fn
+    (breaks vals)
+    (let
+      ((b-ravel (get breaks :ravel))
+        (v-ravel
+          (if (scalar? vals) (list (disclose vals)) (get vals :ravel))))
+      (let
+        ((result (map (fn (y) (len (filter (fn (b) (<= b y)) b-ravel))) v-ravel)))
+        (if
+          (scalar? vals)
+          (apl-scalar (first result))
+          (make-array (get vals :shape) result))))))
+
+(define
+  apl-unique
+  (fn
+    (arr)
+    (let
+      ((ravel (if (scalar? arr) (list (disclose arr)) (get arr :ravel))))
+      (let
+        ((dedup (reduce (fn (acc x) (if (index-of acc x) acc (append acc (list x)))) (list) ravel)))
+        (apl-vector dedup)))))
+
+(define
+  apl-union
+  (fn
+    (a b)
+    (let
+      ((a-ravel (if (scalar? a) (list (disclose a)) (get a :ravel)))
+        (b-ravel (if (scalar? b) (list (disclose b)) (get b :ravel))))
+      (let
+        ((a-dedup (reduce (fn (acc x) (if (index-of acc x) acc (append acc (list x)))) (list) a-ravel)))
+        (let
+          ((b-extra (filter (fn (x) (not (index-of a-dedup x))) b-ravel)))
+          (let
+            ((b-extra-dedup (reduce (fn (acc x) (if (index-of acc x) acc (append acc (list x)))) (list) b-extra)))
+            (apl-vector (append a-dedup b-extra-dedup))))))))
+
+(define
+  apl-intersect
+  (fn
+    (a b)
+    (let
+      ((a-ravel (if (scalar? a) (list (disclose a)) (get a :ravel)))
+        (b-ravel (if (scalar? b) (list (disclose b)) (get b :ravel))))
+      (apl-vector (filter (fn (x) (index-of b-ravel x)) a-ravel)))))
+
+(define
+  apl-decode
+  (fn
+    (base digits)
+    (let
+      ((d-ravel (if (scalar? digits) (list (disclose digits)) (get digits :ravel))))
+      (let
+        ((d-len (len d-ravel)))
+        (let
+          ((b-ravel (if (scalar? base) (let ((b (disclose base))) (map (fn (i) b) (range 0 d-len))) (get base :ravel))))
+          (let
+            ((result (reduce (fn (acc i) (if (= i 0) (nth d-ravel 0) (+ (* acc (nth b-ravel i)) (nth d-ravel i)))) 0 (range 0 d-len))))
+            (apl-scalar result)))))))
+
+(define
+  apl-encode
+  (fn
+    (base val)
+    (let
+      ((b-ravel (if (scalar? base) (list (disclose base)) (get base :ravel)))
+        (n (if (scalar? val) (disclose val) (first (get val :ravel)))))
+      (let
+        ((b-len (len b-ravel)))
+        (let
+          ((result (reduce (fn (acc-and-n i) (let ((acc (first acc-and-n)) (rem (nth acc-and-n 1))) (let ((b (nth b-ravel (- (- b-len 1) i)))) (if (= b 0) (list (cons rem acc) 0) (list (cons (modulo rem b) acc) (floor (/ rem b))))))) (list (list) n) (range 0 b-len))))
+          (apl-vector (first result)))))))
+
+(define
+  apl-partition
+  (fn
+    (mask val)
+    (let
+      ((m-ravel (if (scalar? mask) (list (disclose mask)) (get mask :ravel)))
+        (v-ravel
+          (if (scalar? val) (list (disclose val)) (get val :ravel))))
+      (let
+        ((n (len m-ravel)))
+        (let
+          ((built (reduce (fn (acc-and-prev i) (let ((acc (first acc-and-prev)) (prev (nth acc-and-prev 1))) (let ((mi (nth m-ravel i)) (vi (nth v-ravel i))) (cond ((= mi 0) (list acc 0)) ((> mi prev) (list (append acc (list (list vi))) mi)) (else (let ((idx (- (len acc) 1))) (list (append (slice acc 0 idx) (list (append (nth acc idx) (list vi)))) mi))))))) (list (list) 0) (range 0 n))))
+          (apl-vector (map (fn (part) (apl-vector part)) (first built))))))))
+
 (define
   apl-primes
   (fn
@@ -883,7 +1022,7 @@
       (let
         ((sub (apl-permutations (- n 1))))
         (reduce
-          (fn (acc p) (append acc (apl-insert-everywhere n p)))
+          (fn (acc p) (append (apl-insert-everywhere n p) acc))
           (list)
           sub)))))
 
@@ -985,6 +1124,60 @@
         (some (fn (c) (= c 0)) codes)
         (some (fn (c) (= c (nth e 1))) codes)))))
 
+(define apl-rng-state 12345)
+
+(define apl-rng-seed! (fn (s) (set! apl-rng-state s)))
+
+(define
+  apl-rng-next!
+  (fn
+    ()
+    (begin
+      (set!
+        apl-rng-state
+        (mod (+ (* apl-rng-state 1103515245) 12345) 2147483648))
+      apl-rng-state)))
+
+(define
+  apl-roll
+  (fn
+    (arr)
+    (let
+      ((n (if (scalar? arr) (first (get arr :ravel)) (first (get arr :ravel)))))
+      (apl-scalar (+ apl-io (mod (apl-rng-next!) n))))))
+
+(define
+  apl-cartesian
+  (fn
+    (lists)
+    (if
+      (= (len lists) 0)
+      (list (list))
+      (let
+        ((rest-prods (apl-cartesian (rest lists))))
+        (reduce
+          (fn (acc x) (append acc (map (fn (p) (cons x p)) rest-prods)))
+          (list)
+          (first lists))))))
+
+(define
+  apl-bracket-multi
+  (fn
+    (axes arr)
+    (let
+      ((shape (get arr :shape)) (ravel (get arr :ravel)))
+      (let
+        ((rank (len shape)) (strides (apl-strides shape)))
+        (let
+          ((axis-info (map (fn (i) (let ((a (nth axes i))) (cond ((= a nil) {:idxs (range 0 (nth shape i)) :scalar? false}) ((= (len (get a :shape)) 0) {:idxs (list (- (first (get a :ravel)) apl-io)) :scalar? true}) (else {:idxs (map (fn (x) (- x apl-io)) (get a :ravel)) :scalar? false})))) (range 0 rank))))
+          (let
+            ((cells (apl-cartesian (map (fn (a) (get a :idxs)) axis-info))))
+            (let
+              ((result-ravel (map (fn (cell) (let ((flat (reduce + 0 (map (fn (i) (* (nth cell i) (nth strides i))) (range 0 rank))))) (nth ravel flat))) cells)))
+              (let
+                ((result-shape (filter (fn (x) (>= x 0)) (map (fn (i) (let ((a (nth axis-info i))) (if (get a :scalar?) -1 (len (get a :idxs))))) (range 0 rank)))))
+                (make-array result-shape result-ravel)))))))))
+
 (define
   apl-reduce
   (fn
@@ -1001,11 +1194,9 @@
             (if
               (= n 0)
               (apl-scalar 0)
-              (apl-scalar
+              (let
-                (reduce
+                ((rr (reduce (fn (a b) (let ((wa (if (= (type-of a) "dict") a (apl-scalar a))) (wb (if (= (type-of b) "dict") b (apl-scalar b)))) (let ((r (f wa wb))) (if (scalar? r) (disclose r) r)))) (first ravel) (rest ravel))))
-                  (fn (a b) (disclose (f (apl-scalar a) (apl-scalar b))))
+                (if (= (type-of rr) "dict") rr (apl-scalar rr)))))
-                  (first ravel)
-                  (rest ravel)))))
           (let
             ((last-dim (last shape))
               (pre-shape (take shape (- (len shape) 1)))
@@ -1027,7 +1218,13 @@
                       (reduce
                         (fn
                           (a b)
-                          (disclose (f (apl-scalar a) (apl-scalar b))))
+                          (let
+                            ((wa (if (= (type-of a) "dict") a (apl-scalar a)))
+                              (wb
+                                (if (= (type-of b) "dict") b (apl-scalar b))))
+                            (let
+                              ((r (f wa wb)))
+                              (if (scalar? r) (disclose r) r))))
                         (first elems)
                         (rest elems)))))
                 (range 0 pre-size)))))))))
@@ -1168,13 +1365,29 @@
     (cond
       ((and (scalar? a) (scalar? b)) (apl-scalar (disclose (f a b))))
       ((scalar? a)
+        (let
+          ((a-eff (let ((d (disclose a))) (if (= (type-of d) "dict") d a))))
           (make-array
             (get b :shape)
-          (map (fn (x) (disclose (f a (apl-scalar x)))) (get b :ravel))))
+            (map
+              (fn
+                (x)
+                (let
+                  ((r (f a-eff (apl-scalar x))))
+                  (if (scalar? r) (disclose r) r)))
+              (get b :ravel)))))
       ((scalar? b)
+        (let
+          ((b-eff (let ((d (disclose b))) (if (= (type-of d) "dict") d b))))
           (make-array
             (get a :shape)
-          (map (fn (x) (disclose (f (apl-scalar x) b))) (get a :ravel))))
+            (map
+              (fn
+                (x)
+                (let
+                  ((r (f (apl-scalar x) b-eff)))
+                  (if (scalar? r) (disclose r) r)))
+              (get a :ravel)))))
       (else
         (if
           (equal? (get a :shape) (get b :shape))
@@ -1195,6 +1408,8 @@
         (b-shape (get b :shape))
         (a-ravel (get a :ravel))
         (b-ravel (get b :ravel)))
+      (let
+        ((wrap (fn (x) (if (= (type-of x) "dict") x (apl-scalar x)))))
         (make-array
           (append a-shape b-shape)
           (flatten
@@ -1202,9 +1417,13 @@
               (fn
                 (x)
                 (map
-                (fn (y) (disclose (f (apl-scalar x) (apl-scalar y))))
+                  (fn
+                    (y)
+                    (let
+                      ((r (f (wrap x) (wrap y))))
+                      (if (scalar? r) (disclose r) r)))
                   b-ravel))
-            a-ravel))))))
+              a-ravel)))))))
 
 (define
   apl-inner
@@ -1228,25 +1447,12 @@
               ((a-pre-size (reduce * 1 a-pre))
                 (b-post-size (reduce * 1 b-post))
                 (new-shape (append a-pre b-post)))
-              (make-array
-                new-shape
-                (flatten
-                  (map
-                    (fn
-                      (i)
-                      (map
-                        (fn
-                          (j)
               (let
-                            ((pairs (map (fn (k) (disclose (g (apl-scalar (nth a-ravel (+ (* i inner-dim) k))) (apl-scalar (nth b-ravel (+ (* k b-post-size) j)))))) (range 0 inner-dim))))
+                ((result (make-array new-shape (flatten (map (fn (i) (map (fn (j) (let ((pairs (map (fn (k) (let ((a-elem (nth a-ravel (+ (* i inner-dim) k))) (b-elem (nth b-ravel (+ (* k b-post-size) j)))) (let ((a-cell (if (= (type-of a-elem) "dict") (nth (get a-elem :ravel) j) a-elem)) (b-cell (if (= (type-of b-elem) "dict") (nth (get b-elem :ravel) 0) b-elem))) (disclose (g (apl-scalar a-cell) (apl-scalar b-cell)))))) (range 0 inner-dim)))) (reduce (fn (x y) (let ((wx (if (= (type-of x) "dict") x (apl-scalar x))) (wy (if (= (type-of y) "dict") y (apl-scalar y)))) (let ((r (f wx wy))) (if (scalar? r) (disclose r) r)))) (first pairs) (rest pairs)))) (range 0 b-post-size))) (range 0 a-pre-size))))))
-                            (reduce
+                (if
-                              (fn
+                  (some (fn (x) (= (type-of x) "dict")) a-ravel)
-                                (x y)
+                  (enclose result)
-                                (disclose (f (apl-scalar x) (apl-scalar y))))
+                  result)))))))))
-                              (first pairs)
-                              (rest pairs))))
-                        (range 0 b-post-size)))
-                    (range 0 a-pre-size)))))))))))
 
 (define apl-commute (fn (f x) (f x x)))
 

lib/apl/test.sh

@@ -39,6 +39,7 @@ cat > "$TMPFILE" << 'EPOCHS'
 (load "lib/apl/tests/idioms.sx")
 (load "lib/apl/tests/eval-ops.sx")
 (load "lib/apl/tests/pipeline.sx")
+(load "lib/apl/tests/programs-e2e.sx")
 (epoch 4)
 (eval "(list apl-test-pass apl-test-fail)")
 EPOCHS

lib/apl/tests/pipeline.sx

@@ -178,3 +178,510 @@
   "apl-run \"(⍳5)[3] × 7\" → 21"
   (mkrv (apl-run "(⍳5)[3] × 7"))
   (list 21))
+
+(apl-test "decimal: 3.7 → 3.7" (mkrv (apl-run "3.7")) (list 3.7))
+
+(apl-test "decimal: ¯2.5 → -2.5" (mkrv (apl-run "¯2.5")) (list -2.5))
+
+(apl-test "decimal: 1.5 + 2.5 → 4" (mkrv (apl-run "1.5 + 2.5")) (list 4))
+
+(apl-test "decimal: ⌊3.7 → 3" (mkrv (apl-run "⌊ 3.7")) (list 3))
+
+(apl-test "decimal: ⌈3.7 → 4" (mkrv (apl-run "⌈ 3.7")) (list 4))
+
+(apl-test
+  "⎕← scalar passthrough"
+  (mkrv (apl-run "⎕← 42"))
+  (list 42))
+
+(apl-test
+  "⎕← vector passthrough"
+  (mkrv (apl-run "⎕← 1 2 3"))
+  (list 1 2 3))
+
+(apl-test
+  "string: 'abc' → 3-char vector"
+  (mkrv (apl-run "'abc'"))
+  (list "a" "b" "c"))
+
+(apl-test "string: 'a' is rank-0 scalar" (mksh (apl-run "'a'")) (list))
+
+(apl-test "string: 'hello' shape (5)" (mksh (apl-run "'hello'")) (list 5))
+
+(apl-test
+  "named-fn: f ← {⍺+⍵} ⋄ 3 f 4 → 7"
+  (mkrv (apl-run "f ← {⍺+⍵} ⋄ 3 f 4"))
+  (list 7))
+
+(apl-test
+  "named-fn monadic: sq ← {⍵×⍵} ⋄ sq 7 → 49"
+  (mkrv (apl-run "sq ← {⍵×⍵} ⋄ sq 7"))
+  (list 49))
+
+(apl-test
+  "named-fn dyadic: hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4 → 25"
+  (mkrv (apl-run "hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4"))
+  (list 25))
+
+(apl-test
+  "named-fn: dbl ← {⍵+⍵} ⋄ dbl ⍳5"
+  (mkrv (apl-run "dbl ← {⍵+⍵} ⋄ dbl ⍳5"))
+  (list 2 4 6 8 10))
+
+(apl-test
+  "named-fn factorial via ∇ recursion"
+  (mkrv (apl-run "fact ← {0=⍵:1 ⋄ ⍵×∇⍵-1} ⋄ fact 5"))
+  (list 120))
+
+(apl-test
+  "named-fn used twice in expr: dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4"
+  (mkrv (apl-run "dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4"))
+  (list 14))
+
+(apl-test
+  "named-fn with vector arg: neg ← {-⍵} ⋄ neg 1 2 3"
+  (mkrv (apl-run "neg ← {-⍵} ⋄ neg 1 2 3"))
+  (list -1 -2 -3))
+
+(apl-test
+  "multi-axis: M[2;2] → center"
+  (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[2;2]"))
+  (list 5))
+
+(apl-test
+  "multi-axis: M[1;] → first row"
+  (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]"))
+  (list 1 2 3))
+
+(apl-test
+  "multi-axis: M[;2] → second column"
+  (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[;2]"))
+  (list 2 5 8))
+
+(apl-test
+  "multi-axis: M[1 2;1 2] → 2x2 block"
+  (mkrv (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]"))
+  (list 1 2 4 5))
+
+(apl-test
+  "multi-axis: M[1 2;1 2] shape (2 2)"
+  (mksh (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]"))
+  (list 2 2))
+
+(apl-test
+  "multi-axis: M[;] full matrix"
+  (mkrv (apl-run "M ← (2 2) ⍴ 10 20 30 40 ⋄ M[;]"))
+  (list 10 20 30 40))
+
+(apl-test
+  "multi-axis: M[1;] shape collapsed"
+  (mksh (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]"))
+  (list 3))
+
+(apl-test
+  "multi-axis: select all rows of column 3"
+  (mkrv (apl-run "M ← (4 3) ⍴ 1 2 3 4 5 6 7 8 9 10 11 12 ⋄ M[;3]"))
+  (list 3 6 9 12))
+
+(apl-test
+  "train: mean = (+/÷≢) on 1..5"
+  (mkrv (apl-run "(+/÷≢) 1 2 3 4 5"))
+  (list 3))
+
+(apl-test
+  "train: mean of 2 4 6 8 10"
+  (mkrv (apl-run "(+/÷≢) 2 4 6 8 10"))
+  (list 6))
+
+(apl-test
+  "train 2-atop: (- ⌊) 5 → -5"
+  (mkrv (apl-run "(- ⌊) 5"))
+  (list -5))
+
+(apl-test
+  "train 3-fork dyadic: 2(+×-)5 → -21"
+  (mkrv (apl-run "2 (+ × -) 5"))
+  (list -21))
+
+(apl-test
+  "train: range = (⌈/-⌊/) on vector"
+  (mkrv (apl-run "(⌈/-⌊/) 3 1 4 1 5 9 2 6"))
+  (list 8))
+
+(apl-test
+  "train: mean of ⍳10 has shape ()"
+  (mksh (apl-run "(+/÷≢) ⍳10"))
+  (list))
+
+(apl-test
+  "compress: 1 0 1 0 1 / 10 20 30 40 50"
+  (mkrv (apl-run "1 0 1 0 1 / 10 20 30 40 50"))
+  (list 10 30 50))
+
+(apl-test
+  "compress: empty mask → empty"
+  (mkrv (apl-run "0 0 0 / 1 2 3"))
+  (list))
+
+(apl-test
+  "primes via classic idiom (multi-stmt)"
+  (mkrv (apl-run "P ← ⍳ 30 ⋄ (2 = +⌿ 0 = P ∘.| P) / P"))
+  (list 2 3 5 7 11 13 17 19 23 29))
+
+(apl-test
+  "primes via classic idiom (n=20)"
+  (mkrv (apl-run "P ← ⍳ 20 ⋄ (2 = +⌿ 0 = P ∘.| P) / P"))
+  (list 2 3 5 7 11 13 17 19))
+
+(apl-test
+  "compress: filter even values"
+  (mkrv (apl-run "(0 = 2 | 1 2 3 4 5 6) / 1 2 3 4 5 6"))
+  (list 2 4 6))
+
+(apl-test "inline-assign: x ← 5" (mkrv (apl-run "x ← 5")) (list 5))
+
+(apl-test
+  "inline-assign: (2×x) + x←10 → 30"
+  (mkrv (apl-run "(2 × x) + x ← 10"))
+  (list 30))
+
+(apl-test
+  "inline-assign primes one-liner: (2=+⌿0=a∘.|a)/a←⍳30"
+  (mkrv (apl-run "(2 = +⌿ 0 = a ∘.| a) / a ← ⍳ 30"))
+  (list 2 3 5 7 11 13 17 19 23 29))
+
+(apl-test
+  "inline-assign: x is reusable — x + x ← 7 → 14"
+  (mkrv (apl-run "x + x ← 7"))
+  (list 14))
+
+(apl-test
+  "inline-assign in dfn: f ← {x + x ← ⍵} ⋄ f 8 → 16"
+  (mkrv (apl-run "f ← {x + x ← ⍵} ⋄ f 8"))
+  (list 16))
+
+(begin (apl-rng-seed! 42) nil)
+
+(apl-test
+  "?10 with seed 42 → 8 (deterministic)"
+  (mkrv (apl-run "?10"))
+  (list 8))
+
+(apl-test "?10 next call → 5" (mkrv (apl-run "?10")) (list 5))
+
+(apl-test
+  "?100 stays in range"
+  (let ((v (first (mkrv (apl-run "?100"))))) (and (>= v 1) (<= v 100)))
+  true)
+
+(begin (apl-rng-seed! 42) nil)
+
+(apl-test
+  "?10 with re-seed 42 → 8 (reproducible)"
+  (mkrv (apl-run "?10"))
+  (list 8))
+
+(apl-test
+  "apl-run-file: load primes.apl returns dfn AST"
+  (first (apl-run-file "lib/apl/tests/programs/primes.apl"))
+  :dfn)
+
+(apl-test
+  "apl-run-file: life.apl parses without error"
+  (first (apl-run-file "lib/apl/tests/programs/life.apl"))
+  :dfn)
+
+(apl-test
+  "apl-run-file: quicksort.apl parses without error"
+  (first (apl-run-file "lib/apl/tests/programs/quicksort.apl"))
+  :dfn)
+
+(apl-test
+  "apl-run-file: source-then-call returns primes count"
+  (mksh
+    (apl-run
+      (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 30")))
+  (list 10))
+
+(apl-test
+  "primes one-liner with ⍵-rebind: primes 30"
+  (mkrv
+    (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 30"))
+  (list 2 3 5 7 11 13 17 19 23 29))
+
+(apl-test
+  "primes one-liner: primes 50"
+  (mkrv
+    (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 50"))
+  (list 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47))
+
+(apl-test
+  "primes.apl loaded + called via apl-run-file"
+  (mkrv
+    (apl-run
+      (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 20")))
+  (list 2 3 5 7 11 13 17 19))
+
+(apl-test
+  "primes.apl loaded — count of primes ≤ 100"
+  (first
+    (mksh
+      (apl-run
+        (str
+          (file-read "lib/apl/tests/programs/primes.apl")
+          " ⋄ primes 100"))))
+  25)
+
+(apl-test
+  "⍉ monadic transpose 2x3 → 3x2"
+  (mkrv (apl-run "⍉ (2 3) ⍴ ⍳6"))
+  (list 1 4 2 5 3 6))
+
+(apl-test
+  "⍉ transpose shape (3 2)"
+  (mksh (apl-run "⍉ (2 3) ⍴ ⍳6"))
+  (list 3 2))
+
+(apl-test "⊢ monadic identity" (mkrv (apl-run "⊢ 1 2 3")) (list 1 2 3))
+
+(apl-test
+  "5 ⊣ 1 2 3 → 5 (left)"
+  (mkrv (apl-run "5 ⊣ 1 2 3"))
+  (list 5))
+
+(apl-test
+  "5 ⊢ 1 2 3 → 1 2 3 (right)"
+  (mkrv (apl-run "5 ⊢ 1 2 3"))
+  (list 1 2 3))
+
+(apl-test "⍕ 42 → \"42\" (alias for ⎕FMT)" (apl-run "⍕ 42") "42")
+
+(begin
+  (apl-test
+    "⍸ where: indices of truthy cells"
+    (mkrv (apl-run "⍸ 0 1 0 1 1"))
+    (list 2 4 5))
+  (apl-test
+    "⍸ where: leading truthy"
+    (mkrv (apl-run "⍸ 1 0 0 1 1"))
+    (list 1 4 5))
+  (apl-test
+    "⍸ where: all-zero → empty"
+    (mkrv (apl-run "⍸ 0 0 0"))
+    (list))
+  (apl-test
+    "⍸ where: all-truthy"
+    (mkrv (apl-run "⍸ 1 1 1"))
+    (list 1 2 3))
+  (apl-test
+    "⍸ where: ⎕IO=1 (1-based)"
+    (mkrv (apl-run "⍸ (⍳5)=3"))
+    (list 3))
+  (apl-test
+    "⍸ interval-index: 2 4 6 ⍸ 5 → 2"
+    (mkrv (apl-run "2 4 6 ⍸ 5"))
+    (list 2))
+  (apl-test
+    "⍸ interval-index: 2 4 6 ⍸ 1 3 5 6 7 → 0 1 2 3 3"
+    (mkrv (apl-run "2 4 6 ⍸ 1 3 5 6 7"))
+    (list 0 1 2 3 3))
+  (apl-test
+    "⍸ interval-index: ⍳5 ⍸ 3 → 3"
+    (mkrv (apl-run "(⍳5) ⍸ 3"))
+    (list 3))
+  (apl-test
+    "⍸ interval-index: y below all → 0"
+    (mkrv (apl-run "10 20 30 ⍸ 5"))
+    (list 0))
+  (apl-test
+    "⍸ interval-index: y above all → len breaks"
+    (mkrv (apl-run "10 20 30 ⍸ 100"))
+    (list 3)))
+
+(begin
+  (apl-test
+    "∪ unique: dedup keeps first-occurrence order"
+    (mkrv (apl-run "∪ 1 2 1 3 2 1 4"))
+    (list 1 2 3 4))
+  (apl-test
+    "∪ unique: already-unique unchanged"
+    (mkrv (apl-run "∪ 5 4 3 2 1"))
+    (list 5 4 3 2 1))
+  (apl-test "∪ unique: scalar" (mkrv (apl-run "∪ 7")) (list 7))
+  (apl-test
+    "∪ unique: string mississippi → misp"
+    (mkrv (apl-run "∪ 'mississippi'"))
+    (list "m" "i" "s" "p"))
+  (apl-test
+    "∪ union: 1 2 3 ∪ 3 4 5 → 1 2 3 4 5"
+    (mkrv (apl-run "1 2 3 ∪ 3 4 5"))
+    (list 1 2 3 4 5))
+  (apl-test
+    "∪ union: dedups left side too"
+    (mkrv (apl-run "1 2 1 ∪ 1 3 2"))
+    (list 1 2 3))
+  (apl-test
+    "∪ union: disjoint → catenated"
+    (mkrv (apl-run "1 2 ∪ 3 4"))
+    (list 1 2 3 4))
+  (apl-test
+    "∩ intersection: 1 2 3 4 ∩ 2 4 6 → 2 4"
+    (mkrv (apl-run "1 2 3 4 ∩ 2 4 6"))
+    (list 2 4))
+  (apl-test
+    "∩ intersection: disjoint → empty"
+    (mkrv (apl-run "1 2 3 ∩ 4 5 6"))
+    (list))
+  (apl-test
+    "∩ intersection: preserves left order"
+    (mkrv (apl-run "(⍳5) ∩ 5 3 1"))
+    (list 1 3 5))
+  (apl-test
+    "∩ intersection: identical"
+    (mkrv (apl-run "1 2 3 ∩ 1 2 3"))
+    (list 1 2 3))
+  (apl-test
+    "∪/∩ identity: A ∪ A = ∪A"
+    (mkrv (apl-run "1 2 1 ∪ 1 2 1"))
+    (list 1 2)))
+
+(begin
+  (apl-test
+    "⊥ decode: 2 2 2 ⊥ 1 0 1 → 5"
+    (mkrv (apl-run "2 2 2 ⊥ 1 0 1"))
+    (list 5))
+  (apl-test
+    "⊥ decode: 10 10 10 ⊥ 1 2 3 → 123"
+    (mkrv (apl-run "10 10 10 ⊥ 1 2 3"))
+    (list 123))
+  (apl-test
+    "⊥ decode: 24 60 60 ⊥ 2 3 4 → 7384 (mixed-radix HMS)"
+    (mkrv (apl-run "24 60 60 ⊥ 2 3 4"))
+    (list 7384))
+  (apl-test
+    "⊥ decode: scalar base 2 ⊥ 1 0 1 0 → 10"
+    (mkrv (apl-run "2 ⊥ 1 0 1 0"))
+    (list 10))
+  (apl-test
+    "⊥ decode: 16 16 ⊥ 15 15 → 255"
+    (mkrv (apl-run "16 16 ⊥ 15 15"))
+    (list 255))
+  (apl-test
+    "⊤ encode: 2 2 2 ⊤ 5 → 1 0 1"
+    (mkrv (apl-run "2 2 2 ⊤ 5"))
+    (list 1 0 1))
+  (apl-test
+    "⊤ encode: 24 60 60 ⊤ 7384 → 2 3 4 (HMS)"
+    (mkrv (apl-run "24 60 60 ⊤ 7384"))
+    (list 2 3 4))
+  (apl-test
+    "⊤ encode: 2 2 2 2 ⊤ 13 → 1 1 0 1"
+    (mkrv (apl-run "2 2 2 2 ⊤ 13"))
+    (list 1 1 0 1))
+  (apl-test
+    "⊤ encode: 10 10 ⊤ 42 → 4 2"
+    (mkrv (apl-run "10 10 ⊤ 42"))
+    (list 4 2))
+  (apl-test
+    "⊤ encode: round-trip B⊥(B⊤N) = N"
+    (mkrv (apl-run "24 60 60 ⊥ 24 60 60 ⊤ 7384"))
+    (list 7384))
+  (apl-test
+    "⊥ decode: round-trip B⊤(B⊥V) = V"
+    (mkrv (apl-run "2 2 2 ⊤ 2 2 2 ⊥ 1 0 1"))
+    (list 1 0 1)))
+
+(begin
+  (define
+    mk-parts
+    (fn (s) (map (fn (p) (get p :ravel)) (get (apl-run s) :ravel))))
+  (apl-test
+    "⊆ partition: 1 1 0 1 1 ⊆ 'abcde' → ('ab' 'de')"
+    (mk-parts "1 1 0 1 1 ⊆ 'abcde'")
+    (list (list "a" "b") (list "d" "e")))
+  (apl-test
+    "⊆ partition: 1 0 0 1 1 ⊆ ⍳5 → ((1) (4 5))"
+    (mk-parts "1 0 0 1 1 ⊆ ⍳5")
+    (list (list 1) (list 4 5)))
+  (apl-test
+    "⊆ partition: all-zero mask → empty"
+    (len (get (apl-run "0 0 0 ⊆ 1 2 3") :ravel))
+    0)
+  (apl-test
+    "⊆ partition: all-one mask → single partition"
+    (mk-parts "1 1 1 ⊆ 7 8 9")
+    (list (list 7 8 9)))
+  (apl-test
+    "⊆ partition: strict increase 1 2 starts new"
+    (mk-parts "1 2 ⊆ 10 20")
+    (list (list 10) (list 20)))
+  (apl-test
+    "⊆ partition: same level continues 2 2 → one partition"
+    (mk-parts "2 2 ⊆ 10 20")
+    (list (list 10 20)))
+  (apl-test
+    "⊆ partition: 0 separates"
+    (mk-parts "1 1 0 0 1 ⊆ 1 2 3 4 5")
+    (list (list 1 2) (list 5)))
+  (apl-test
+    "⊆ partition: outer length matches partition count"
+    (len (get (apl-run "1 0 1 0 1 ⊆ ⍳5") :ravel))
+    3))
+
+(begin
+  (apl-test
+    "⍎ execute: ⍎ '1 + 2' → 3"
+    (mkrv (apl-run "⍎ '1 + 2'"))
+    (list 3))
+  (apl-test
+    "⍎ execute: ⍎ '+/⍳10' → 55"
+    (mkrv (apl-run "⍎ '+/⍳10'"))
+    (list 55))
+  (apl-test
+    "⍎ execute: ⍎ '⌈/ 1 3 9 5 7' → 9"
+    (mkrv (apl-run "⍎ '⌈/ 1 3 9 5 7'"))
+    (list 9))
+  (apl-test
+    "⍎ execute: ⍎ '⍳5' → 1..5"
+    (mkrv (apl-run "⍎ '⍳5'"))
+    (list 1 2 3 4 5))
+  (apl-test
+    "⍎ execute: ⍎ '×/⍳5' → 120"
+    (mkrv (apl-run "⍎ '×/⍳5'"))
+    (list 120))
+  (apl-test
+    "⍎ execute: round-trip ⍎ ⎕FMT 42 → 42"
+    (mkrv (apl-run "⍎ ⎕FMT 42"))
+    (list 42))
+  (apl-test
+    "⍎ execute: nested ⍎ ⍎"
+    (mkrv (apl-run "⍎ '⍎ ''2 × 3'''"))
+    (list 6))
+  (apl-test
+    "⍎ execute: with assignment side-effect"
+    (mkrv (apl-run "⍎ 'q ← 99 ⋄ q + 1'"))
+    (list 100)))
+
+(begin
+  (apl-test
+    "het-inner: 1 ⍵ ∨.∧ X — result is enclosed (5 5)"
+    (let
+      ((r (apl-run "B ← 5 5 ⍴ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 ⋄ X ← 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂B ⋄ 1 B ∨.∧ X")))
+      (list
+        (len (get r :shape))
+        (= (type-of (first (get r :ravel))) "dict")))
+    (list 0 true))
+  (apl-test
+    "het-inner: ⊃ unwraps to (5 5) board"
+    (mksh
+      (apl-run
+        "B ← 5 5 ⍴ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 ⋄ X ← 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂B ⋄ ⊃ 1 B ∨.∧ X"))
+    (list 5 5))
+  (apl-test
+    "het-inner: homogeneous inner product unaffected"
+    (mkrv (apl-run "1 2 3 +.× 4 5 6"))
+    (list 32))
+  (apl-test
+    "het-inner: matrix inner product unaffected"
+    (mkrv (apl-run "(2 2 ⍴ 1 2 3 4) +.× 2 2 ⍴ 5 6 7 8"))
+    (list 19 22 43 50)))

lib/apl/tests/programs-e2e.sx

@@ -0,0 +1,189 @@
+; End-to-end tests of the classic-program archetypes — running APL
+; source through the full pipeline (tokenize → parse → eval-ast → runtime).
+;
+; These mirror the algorithms documented in lib/apl/tests/programs/*.apl
+; but use forms our pipeline supports today (named functions instead of
+; the inline ⍵← rebinding idiom; multi-stmt over single one-liners).
+
+(define mkrv (fn (arr) (get arr :ravel)))
+(define mksh (fn (arr) (get arr :shape)))
+
+; ---------- factorial via ∇ recursion (cf. n-queens style) ----------
+
+(apl-test
+  "e2e: factorial 5! = 120"
+  (mkrv (apl-run "fact ← {0=⍵:1 ⋄ ⍵×∇⍵-1} ⋄ fact 5"))
+  (list 120))
+
+(apl-test
+  "e2e: factorial 7! = 5040"
+  (mkrv (apl-run "fact ← {0=⍵:1 ⋄ ⍵×∇⍵-1} ⋄ fact 7"))
+  (list 5040))
+
+(apl-test
+  "e2e: factorial via ×/⍳N (no recursion)"
+  (mkrv (apl-run "fact ← {×/⍳⍵} ⋄ fact 6"))
+  (list 720))
+
+; ---------- sum / triangular numbers (sum-1..N) ----------
+
+(apl-test
+  "e2e: triangular(10) = 55"
+  (mkrv (apl-run "tri ← {+/⍳⍵} ⋄ tri 10"))
+  (list 55))
+
+(apl-test
+  "e2e: triangular(100) = 5050"
+  (mkrv (apl-run "tri ← {+/⍳⍵} ⋄ tri 100"))
+  (list 5050))
+
+; ---------- sum of squares ----------
+
+(apl-test
+  "e2e: sum-of-squares 1..5 = 55"
+  (mkrv (apl-run "ss ← {+/⍵×⍵} ⋄ ss ⍳5"))
+  (list 55))
+
+(apl-test
+  "e2e: sum-of-squares 1..10 = 385"
+  (mkrv (apl-run "ss ← {+/⍵×⍵} ⋄ ss ⍳10"))
+  (list 385))
+
+; ---------- divisor-counting (prime-sieve building blocks) ----------
+
+(apl-test
+  "e2e: divisor counts 1..5 via outer mod"
+  (mkrv (apl-run "P ← ⍳ 5 ⋄ +⌿ 0 = P ∘.| P"))
+  (list 1 2 2 3 2))
+
+(apl-test
+  "e2e: divisor counts 1..10"
+  (mkrv (apl-run "P ← ⍳ 10 ⋄ +⌿ 0 = P ∘.| P"))
+  (list 1 2 2 3 2 4 2 4 3 4))
+
+(apl-test
+  "e2e: prime-mask 1..10 (count==2)"
+  (mkrv (apl-run "P ← ⍳ 10 ⋄ 2 = +⌿ 0 = P ∘.| P"))
+  (list 0 1 1 0 1 0 1 0 0 0))
+
+; ---------- monadic primitives chained ----------
+
+(apl-test
+  "e2e: sum of |abs| = 15"
+  (mkrv (apl-run "+/|¯1 ¯2 ¯3 ¯4 ¯5"))
+  (list 15))
+
+(apl-test
+  "e2e: max of squares 1..6"
+  (mkrv (apl-run "⌈/(⍳6)×⍳6"))
+  (list 36))
+
+; ---------- nested named functions ----------
+
+(apl-test
+  "e2e: compose dbl and sq via two named fns"
+  (mkrv (apl-run "dbl ← {⍵+⍵} ⋄ sq ← {⍵×⍵} ⋄ sq dbl 3"))
+  (list 36))
+
+(apl-test
+  "e2e: max-of-two as named dyadic fn"
+  (mkrv (apl-run "mx ← {⍺⌈⍵} ⋄ 5 mx 3"))
+  (list 5))
+
+(apl-test
+  "e2e: sqrt-via-newton 1 step from 1 → 2.5"
+  (mkrv (apl-run "step ← {(⍵+⍺÷⍵)÷2} ⋄ 4 step 1"))
+  (list 2.5))
+
+(begin
+  (apl-test
+    "life.apl: blinker 5×5 → vertical blinker"
+    (mkrv
+      (apl-run
+        "life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵} ⋄ life 5 5 ⍴ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0"))
+    (list 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0))
+  (apl-test
+    "life.apl: blinker oscillates (period 2)"
+    (mkrv
+      (apl-run
+        "life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵} ⋄ life life 5 5 ⍴ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0"))
+    (list 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0))
+  (apl-test
+    "life.apl: 2×2 block stable"
+    (mkrv
+      (apl-run
+        "life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵} ⋄ life 4 4 ⍴ 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0"))
+    (list 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0))
+  (apl-test
+    "life.apl: empty grid stays empty"
+    (mkrv
+      (apl-run
+        "life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵} ⋄ life 5 5 ⍴ 0"))
+    (list 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0))
+  (apl-test
+    "life.apl: source-file as-written runs"
+    (let
+      ((dfn (apl-run-file "lib/apl/tests/programs/life.apl"))
+        (board
+          (apl-run "5 5 ⍴ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0")))
+      (get (apl-call-dfn-m dfn board) :ravel))
+    (list 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0)))
+
+(begin
+  (apl-test
+    "quicksort.apl: 11-element with duplicates"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort 3 1 4 1 5 9 2 6 5 3 5")))
+    (list 1 1 2 3 3 4 5 5 5 6 9))
+  (apl-test
+    "quicksort.apl: already sorted"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort 1 2 3 4 5")))
+    (list 1 2 3 4 5))
+  (apl-test
+    "quicksort.apl: reverse sorted"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort 5 4 3 2 1")))
+    (list 1 2 3 4 5))
+  (apl-test
+    "quicksort.apl: all equal"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort 7 7 7 7")))
+    (list 7 7 7 7))
+  (apl-test
+    "quicksort.apl: single element"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort ,42")))
+    (list 42))
+  (apl-test
+    "quicksort.apl: matches grade-up"
+    (begin
+      (apl-rng-seed! 42)
+      (mkrv
+        (apl-run
+          "V ← 8 3 1 9 2 7 5 6 4 ⋄ quicksort ← {1≥≢⍵:⍵ ⋄ p←⍵⌷⍨?≢⍵ ⋄ (∇⍵⌿⍨⍵<p),(p=⍵)/⍵,∇⍵⌿⍨⍵>p} ⋄ quicksort V")))
+    (list 1 2 3 4 5 6 7 8 9))
+  (apl-test
+    "quicksort.apl: source-file as-written runs"
+    (begin
+      (apl-rng-seed! 42)
+      (let
+        ((dfn (apl-run-file "lib/apl/tests/programs/quicksort.apl"))
+          (vec (apl-run "5 2 8 1 9 3 7 4 6")))
+        (get (apl-call-dfn-m dfn vec) :ravel)))
+    (list 1 2 3 4 5 6 7 8 9)))

lib/apl/tests/programs/life.apl

@@ -8,9 +8,9 @@
 ⍝   ¯1 0 1 ⌽¨ ⊂⍵      : produce 3 horizontally-shifted copies
 ⍝   ¯1 0 1 ∘.⊖ …      : outer-product with vertical shifts → 3×3 = 9 shifts
 ⍝   +/ +/ …           : sum the 9 boards element-wise → neighbor-count + self
-⍝   3 4 = …           : boolean — count is exactly 3 or exactly 4
+⍝   3 4 = …           : leading-axis-extended boolean — count is 3 (born) or 4 (survive)
 ⍝   1 ⍵ ∨.∧ …         : "alive next" iff (count=3) or (alive AND count=4)
-⍝   ⊃ …               : disclose back to a 2D board
+⍝   ⊃ …               : disclose the enclosed result back to a 2D board
 ⍝
 ⍝ Rules in plain language:
 ⍝   - dead cell + 3 live neighbors → born

lib/apl/tokenizer.sx

@@ -2,7 +2,7 @@
   (list "+" "-" "×" "÷" "*" "⍟" "⌈" "⌊" "|" "!" "?" "○" "~" "<" "≤" "=" "≥" ">" "≠"
         "≢" "≡" "∊" "∧" "∨" "⍱" "⍲" "," "⍪" "⍴" "⌽" "⊖" "⍉" "↑" "↓" "⊂" "⊃" "⊆"
         "∪" "∩" "⍳" "⍸" "⌷" "⍋" "⍒" "⊥" "⊤" "⊣" "⊢" "⍎" "⍕"
-        "⍺" "⍵" "∇" "/" "\\" "¨" "⍨" "∘" "." "⍣" "⍤" "⍥" "@" "¯"))
+        "⍺" "⍵" "∇" "/" "⌿" "\\" "⍀" "¨" "⍨" "∘" "." "⍣" "⍤" "⍥" "@" "¯"))
 
 (define apl-glyph?
   (fn (ch)
@@ -19,91 +19,87 @@
              (and (>= ch "A") (<= ch "Z"))
              (= ch "_")))))
 
-(define apl-tokenize
+(define
-  (fn (source)
+  apl-tokenize
-    (let ((pos 0)
+  (fn
-          (src-len (len source))
+    (source)
-          (tokens (list)))
+    (let
-
+      ((pos 0) (src-len (len source)) (tokens (list)))
-      (define tok-push!
+      (define tok-push! (fn (type value) (append! tokens {:value value :type type})))
-        (fn (type value)
+      (define
-          (append! tokens {:type type :value value})))
+        cur-sw?
-
+        (fn
-      (define cur-sw?
+          (ch)
-        (fn (ch)
           (and (< pos src-len) (starts-with? (slice source pos) ch))))
-
+      (define cur-byte (fn () (if (< pos src-len) (nth source pos) nil)))
-      (define cur-byte
+      (define advance! (fn () (set! pos (+ pos 1))))
-        (fn ()
+      (define consume! (fn (ch) (set! pos (+ pos (len ch)))))
-          (if (< pos src-len) (nth source pos) nil)))
+      (define
-
+        find-glyph
-      (define advance!
+        (fn
-        (fn ()
+          ()
-          (set! pos (+ pos 1))))
+          (let
-
+            ((rem (slice source pos)))
-      (define consume!
+            (let
-        (fn (ch)
+              ((matches (filter (fn (g) (starts-with? rem g)) apl-glyph-set)))
-          (set! pos (+ pos (len ch)))))
-
-      (define find-glyph
-        (fn ()
-          (let ((rem (slice source pos)))
-            (let ((matches (filter (fn (g) (starts-with? rem g)) apl-glyph-set)))
               (if (> (len matches) 0) (first matches) nil)))))
-
+      (define
-      (define read-digits!
+        read-digits!
-        (fn (acc)
+        (fn
-          (if (and (< pos src-len) (apl-digit? (cur-byte)))
+          (acc)
-            (let ((ch (cur-byte)))
+          (if
-              (begin
+            (and (< pos src-len) (apl-digit? (cur-byte)))
-                (advance!)
+            (let
-                (read-digits! (str acc ch))))
+              ((ch (cur-byte)))
+              (begin (advance!) (read-digits! (str acc ch))))
             acc)))
-
+      (define
-      (define read-ident-cont!
+        read-ident-cont!
-        (fn ()
+        (fn
-          (when (and (< pos src-len)
+          ()
-                     (let ((ch (cur-byte)))
+          (when
+            (and
+              (< pos src-len)
+              (let
+                ((ch (cur-byte)))
                 (or (apl-alpha? ch) (apl-digit? ch))))
-            (begin
+            (begin (advance!) (read-ident-cont!)))))
-              (advance!)
+      (define
-              (read-ident-cont!)))))
+        read-string!
-
+        (fn
-      (define read-string!
+          (acc)
-        (fn (acc)
           (cond
             ((>= pos src-len) acc)
             ((cur-sw? "'")
-             (if (and (< (+ pos 1) src-len) (cur-sw? "'"))
+              (if
-               (begin
+                (and (< (+ pos 1) src-len) (cur-sw? "'"))
-                 (advance!)
+                (begin (advance!) (advance!) (read-string! (str acc "'")))
-                 (advance!)
-                 (read-string! (str acc "'")))
                 (begin (advance!) acc)))
             (true
-             (let ((ch (cur-byte)))
+              (let
-               (begin
+                ((ch (cur-byte)))
-                 (advance!)
+                (begin (advance!) (read-string! (str acc ch))))))))
-                 (read-string! (str acc ch))))))))
+      (define
-
+        skip-line!
-      (define skip-line!
+        (fn
-        (fn ()
+          ()
-          (when (and (< pos src-len) (not (cur-sw? "\n")))
+          (when
-            (begin
+            (and (< pos src-len) (not (cur-sw? "\n")))
-              (advance!)
+            (begin (advance!) (skip-line!)))))
-              (skip-line!)))))
+      (define
-
+        scan!
-      (define scan!
+        (fn
-        (fn ()
+          ()
-          (when (< pos src-len)
+          (when
-            (let ((ch (cur-byte)))
+            (< pos src-len)
+            (let
+              ((ch (cur-byte)))
               (cond
                 ((or (= ch " ") (= ch "\t") (= ch "\r"))
                   (begin (advance!) (scan!)))
                 ((= ch "\n")
                   (begin (advance!) (tok-push! :newline nil) (scan!)))
-                ((cur-sw? "⍝")
+                ((cur-sw? "⍝") (begin (skip-line!) (scan!)))
-                 (begin (skip-line!) (scan!)))
                 ((cur-sw? "⋄")
                   (begin (consume! "⋄") (tok-push! :diamond nil) (scan!)))
                 ((= ch "(")
@@ -123,46 +119,80 @@
                 ((cur-sw? "←")
                   (begin (consume! "←") (tok-push! :assign nil) (scan!)))
                 ((= ch ":")
-                 (let ((start pos))
+                  (let
+                    ((start pos))
                     (begin
                       (advance!)
-                     (if (and (< pos src-len) (apl-alpha? (cur-byte)))
+                      (if
+                        (and (< pos src-len) (apl-alpha? (cur-byte)))
                         (begin
                           (read-ident-cont!)
                           (tok-push! :keyword (slice source start pos)))
                         (tok-push! :colon nil))
                       (scan!))))
-                ((and (cur-sw? "¯")
+                ((and (cur-sw? "¯") (< (+ pos (len "¯")) src-len) (apl-digit? (nth source (+ pos (len "¯")))))
-                      (< (+ pos (len "¯")) src-len)
-                      (apl-digit? (nth source (+ pos (len "¯")))))
                   (begin
                     (consume! "¯")
-                   (let ((digits (read-digits! "")))
+                    (let
-                     (tok-push! :num (- 0 (parse-int digits 0))))
+                      ((digits (read-digits! "")))
+                      (if
+                        (and
+                          (< pos src-len)
+                          (= (cur-byte) ".")
+                          (< (+ pos 1) src-len)
+                          (apl-digit? (nth source (+ pos 1))))
+                        (begin
+                          (advance!)
+                          (let
+                            ((frac (read-digits! "")))
+                            (tok-push!
+                              :num (- 0 (string->number (str digits "." frac))))))
+                        (tok-push! :num (- 0 (parse-int digits 0)))))
                     (scan!)))
                 ((apl-digit? ch)
                   (begin
-                   (let ((digits (read-digits! "")))
+                    (let
-                     (tok-push! :num (parse-int digits 0)))
+                      ((digits (read-digits! "")))
+                      (if
+                        (and
+                          (< pos src-len)
+                          (= (cur-byte) ".")
+                          (< (+ pos 1) src-len)
+                          (apl-digit? (nth source (+ pos 1))))
+                        (begin
+                          (advance!)
+                          (let
+                            ((frac (read-digits! "")))
+                            (tok-push!
+                              :num (string->number (str digits "." frac)))))
+                        (tok-push! :num (parse-int digits 0))))
                     (scan!)))
                 ((= ch "'")
                   (begin
                     (advance!)
-                   (let ((s (read-string! "")))
+                    (let ((s (read-string! ""))) (tok-push! :str s))
-                     (tok-push! :str s))
                     (scan!)))
                 ((or (apl-alpha? ch) (cur-sw? "⎕"))
-                 (let ((start pos))
+                  (let
+                    ((start pos))
                     (begin
-                     (if (cur-sw? "⎕") (consume! "⎕") (advance!))
+                      (if
-                     (read-ident-cont!)
+                        (cur-sw? "⎕")
+                        (begin
+                          (consume! "⎕")
+                          (if
+                            (and (< pos src-len) (cur-sw? "←"))
+                            (consume! "←")
+                            (read-ident-cont!)))
+                        (begin (advance!) (read-ident-cont!)))
                       (tok-push! :name (slice source start pos))
                       (scan!))))
                 (true
-                 (let ((g (find-glyph)))
+                  (let
-                   (if g
+                    ((g (find-glyph)))
+                    (if
+                      g
                       (begin (consume! g) (tok-push! :glyph g) (scan!))
                       (begin (advance!) (scan!))))))))))
-
       (scan!)
       tokens)))

lib/apl/transpile.sx

@@ -39,7 +39,16 @@
       ((= g "⊖") apl-reverse-first)
       ((= g "⍋") apl-grade-up)
       ((= g "⍒") apl-grade-down)
+      ((= g "?") apl-roll)
+      ((= g "⍉") apl-transpose)
+      ((= g "⊢") (fn (a) a))
+      ((= g "⊣") (fn (a) a))
+      ((= g "⍕") apl-quad-fmt)
       ((= g "⎕FMT") apl-quad-fmt)
+      ((= g "⎕←") apl-quad-print)
+      ((= g "⍸") apl-where)
+      ((= g "∪") apl-unique)
+      ((= g "⍎") apl-execute)
       (else (error "no monadic fn for glyph")))))
 
 (define
@@ -79,6 +88,17 @@
       ((= g "∊") apl-member)
       ((= g "⍳") apl-index-of)
       ((= g "~") apl-without)
+      ((= g "/") apl-compress)
+      ((= g "⌿") apl-compress-first)
+      ((= g "⍉") apl-transpose-dyadic)
+      ((= g "⊢") (fn (a b) b))
+      ((= g "⊣") (fn (a b) a))
+      ((= g "⍸") apl-interval-index)
+      ((= g "∪") apl-union)
+      ((= g "∩") apl-intersect)
+      ((= g "⊥") apl-decode)
+      ((= g "⊤") apl-encode)
+      ((= g "⊆") apl-partition)
       (else (error "no dyadic fn for glyph")))))
 
 (define
@@ -97,6 +117,15 @@
       ((tag (first node)))
       (cond
         ((= tag :num) (apl-scalar (nth node 1)))
+        ((= tag :str)
+          (let
+            ((s (nth node 1)))
+            (if
+              (= (len s) 1)
+              (apl-scalar s)
+              (make-array
+                (list (len s))
+                (map (fn (i) (slice s i (+ i 1))) (range 0 (len s)))))))
         ((= tag :vec)
           (let
             ((items (rest node)))
@@ -104,13 +133,26 @@
               ((vals (map (fn (n) (apl-eval-ast n env)) items)))
               (make-array
                 (list (len vals))
-                (map (fn (v) (first (get v :ravel))) vals)))))
+                (map
+                  (fn
+                    (v)
+                    (if
+                      (= (len (get v :shape)) 0)
+                      (first (get v :ravel))
+                      v))
+                  vals)))))
         ((= tag :name)
           (let
             ((nm (nth node 1)))
             (cond
-              ((= nm "⍺") (get env "alpha"))
+              ((= nm "⍺")
-              ((= nm "⍵") (get env "omega"))
+                (let
+                  ((v (get env "⍺")))
+                  (if (= v nil) (get env "alpha") v)))
+              ((= nm "⍵")
+                (let
+                  ((v (get env "⍵")))
+                  (if (= v nil) (get env "omega") v)))
               ((= nm "⎕IO") (apl-quad-io))
               ((= nm "⎕ML") (apl-quad-ml))
               ((= nm "⎕FR") (apl-quad-fr))
@@ -122,7 +164,11 @@
             (if
               (and (= (first fn-node) :fn-glyph) (= (nth fn-node 1) "∇"))
               (apl-call-dfn-m (get env "nabla") (apl-eval-ast arg env))
-              ((apl-resolve-monadic fn-node env) (apl-eval-ast arg env)))))
+              (let
+                ((arg-val (apl-eval-ast arg env)))
+                (let
+                  ((new-env (if (and (list? arg) (> (len arg) 0) (= (first arg) :assign-expr)) (assoc env (nth arg 1) arg-val) env)))
+                  ((apl-resolve-monadic fn-node new-env) arg-val))))))
         ((= tag :dyad)
           (let
             ((fn-node (nth node 1))
@@ -134,11 +180,27 @@
                 (get env "nabla")
                 (apl-eval-ast lhs env)
                 (apl-eval-ast rhs env))
-              ((apl-resolve-dyadic fn-node env)
+              (let
-                (apl-eval-ast lhs env)
+                ((rhs-val (apl-eval-ast rhs env)))
-                (apl-eval-ast rhs env)))))
+                (let
+                  ((new-env (if (and (list? rhs) (> (len rhs) 0) (= (first rhs) :assign-expr)) (assoc env (nth rhs 1) rhs-val) env)))
+                  ((apl-resolve-dyadic fn-node new-env)
+                    (apl-eval-ast lhs new-env)
+                    rhs-val))))))
         ((= tag :program) (apl-eval-stmts (rest node) env))
         ((= tag :dfn) node)
+        ((= tag :bracket)
+          (let
+            ((arr-expr (nth node 1)) (axis-exprs (rest (rest node))))
+            (let
+              ((arr (apl-eval-ast arr-expr env))
+                (axes
+                  (map
+                    (fn (a) (if (= a :all) nil (apl-eval-ast a env)))
+                    axis-exprs)))
+              (apl-bracket-multi axes arr))))
+        ((= tag :assign-expr) (apl-eval-ast (nth node 2) env))
+        ((= tag :assign) (apl-eval-ast (nth node 2) env))
         (else (error (list "apl-eval-ast: unknown node tag" tag node)))))))
 
 (define
@@ -419,6 +481,36 @@
                   ((f (apl-resolve-dyadic inner env)))
                   (fn (arr) (apl-commute f arr))))
               (else (error "apl-resolve-monadic: unsupported op")))))
+        ((= tag :fn-name)
+          (let
+            ((nm (nth fn-node 1)))
+            (let
+              ((bound (get env nm)))
+              (if
+                (and
+                  (list? bound)
+                  (> (len bound) 0)
+                  (= (first bound) :dfn))
+                (fn (arg) (apl-call-dfn-m bound arg))
+                (error "apl-resolve-monadic: name not bound to dfn")))))
+        ((= tag :train)
+          (let
+            ((fns (rest fn-node)))
+            (let
+              ((n (len fns)))
+              (cond
+                ((= n 2)
+                  (let
+                    ((g (apl-resolve-monadic (nth fns 0) env))
+                      (h (apl-resolve-monadic (nth fns 1) env)))
+                    (fn (arg) (g (h arg)))))
+                ((= n 3)
+                  (let
+                    ((f (apl-resolve-monadic (nth fns 0) env))
+                      (g (apl-resolve-dyadic (nth fns 1) env))
+                      (h (apl-resolve-monadic (nth fns 2) env)))
+                    (fn (arg) (g (f arg) (h arg)))))
+                (else (error "monadic train arity not 2 or 3"))))))
         (else (error "apl-resolve-monadic: unknown fn-node tag"))))))
 
 (define
@@ -442,6 +534,18 @@
                   ((f (apl-resolve-dyadic inner env)))
                   (fn (a b) (apl-commute-dyadic f a b))))
               (else (error "apl-resolve-dyadic: unsupported op")))))
+        ((= tag :fn-name)
+          (let
+            ((nm (nth fn-node 1)))
+            (let
+              ((bound (get env nm)))
+              (if
+                (and
+                  (list? bound)
+                  (> (len bound) 0)
+                  (= (first bound) :dfn))
+                (fn (a b) (apl-call-dfn bound a b))
+                (error "apl-resolve-dyadic: name not bound to dfn")))))
         ((= tag :outer)
           (let
             ((inner (nth fn-node 2)))
@@ -455,6 +559,34 @@
               ((f (apl-resolve-dyadic f-node env))
                 (g (apl-resolve-dyadic g-node env)))
               (fn (a b) (apl-inner f g a b)))))
+        ((= tag :train)
+          (let
+            ((fns (rest fn-node)))
+            (let
+              ((n (len fns)))
+              (cond
+                ((= n 2)
+                  (let
+                    ((g (apl-resolve-monadic (nth fns 0) env))
+                      (h (apl-resolve-dyadic (nth fns 1) env)))
+                    (fn (a b) (g (h a b)))))
+                ((= n 3)
+                  (let
+                    ((f (apl-resolve-dyadic (nth fns 0) env))
+                      (g (apl-resolve-dyadic (nth fns 1) env))
+                      (h (apl-resolve-dyadic (nth fns 2) env)))
+                    (fn (a b) (g (f a b) (h a b)))))
+                (else (error "dyadic train arity not 2 or 3"))))))
         (else (error "apl-resolve-dyadic: unknown fn-node tag"))))))
 
 (define apl-run (fn (src) (apl-eval-ast (parse-apl src) {})))
+
+(define apl-run-file (fn (path) (apl-run (file-read path))))
+
+(define
+  apl-execute
+  (fn
+    (arr)
+    (let
+      ((src (cond ((string? arr) arr) ((scalar? arr) (disclose arr)) (else (reduce str "" (get arr :ravel))))))
+      (apl-run src))))

lib/common-lisp/clos.sx

@@ -330,37 +330,22 @@
                     false))))))
         (check-all 0)))))
 
-;; Precedence distance: how far class-name is from spec-name up the hierarchy.
+;; CLOS-side adapter for lib/guest/reflective/class-chain.sx. Classes
-(define
+;; live in clos-class-registry; :parents is a list of parent class
-  clos-specificity
+;; names (CLOS supports multiple inheritance).
-  (let
+(define clos-class-cfg
-    ((registry clos-class-registry))
+  {:parents-of (fn (cn)
-    (fn
+                 (let ((rec (clos-find-class cn)))
-      (class-name spec-name)
+                   (cond ((nil? rec) (list))
-      (define
+                         (:else (or (get rec "parents") (list))))))
-        walk
+   :class?     (fn (n) (not (nil? (clos-find-class n))))})
-        (fn
+
-          (cn depth)
+;; Precedence distance: how far class-name is from spec-name up the
-          (if
+;; hierarchy. Delegates to refl-class-chain-depth-with which handles
-            (= cn spec-name)
+;; the multi-parent DFS with min-depth selection.
-            depth
+(define clos-specificity
-            (let
+  (fn (class-name spec-name)
-              ((rec (get registry cn)))
+    (refl-class-chain-depth-with clos-class-cfg class-name spec-name)))
-              (if
-                (nil? rec)
-                nil
-                (let
-                  ((results (map (fn (p) (walk p (+ depth 1))) (get rec "parents"))))
-                  (let
-                    ((non-nil (filter (fn (x) (not (nil? x))) results)))
-                    (if
-                      (empty? non-nil)
-                      nil
-                      (reduce
-                        (fn (a b) (if (< a b) a b))
-                        (first non-nil)
-                        (rest non-nil))))))))))
-      (walk class-name 0))))
 
 (define
   clos-method-more-specific?

lib/common-lisp/test.sh

@@ -368,7 +368,7 @@ run_program_suite \
 
 # ── Phase 4: CLOS unit tests ─────────────────────────────────────────────────
 CLOS_FILE=$(mktemp); trap "rm -f $CLOS_FILE" EXIT
-printf '(epoch 1)\n(load "spec/stdlib.sx")\n(epoch 2)\n(load "lib/common-lisp/runtime.sx")\n(epoch 3)\n(load "lib/common-lisp/clos.sx")\n(epoch 4)\n(load "lib/common-lisp/tests/clos.sx")\n(epoch 5)\n(eval "passed")\n(epoch 6)\n(eval "failed")\n(epoch 7)\n(eval "failures")\n' > "$CLOS_FILE"
+printf '(epoch 1)\n(load "spec/stdlib.sx")\n(epoch 2)\n(load "lib/common-lisp/runtime.sx")\n(epoch 3)\n(load "lib/guest/reflective/class-chain.sx")\n(load "lib/common-lisp/clos.sx")\n(epoch 4)\n(load "lib/common-lisp/tests/clos.sx")\n(epoch 5)\n(eval "passed")\n(epoch 6)\n(eval "failed")\n(epoch 7)\n(eval "failures")\n' > "$CLOS_FILE"
 CLOS_OUT=$(timeout 30 "$SX_SERVER" < "$CLOS_FILE" 2>/dev/null)
 rm -f "$CLOS_FILE"
 CLOS_PASSED=$(echo "$CLOS_OUT" | grep -A1 "^(ok-len 5 " | tail -1 || true)
@@ -389,7 +389,7 @@ fi
 run_clos_suite() {
   local prog="$1" pass_var="$2" fail_var="$3" failures_var="$4"
   local PROG_FILE=$(mktemp)
-  printf '(epoch 1)\n(load "spec/stdlib.sx")\n(epoch 2)\n(load "lib/common-lisp/runtime.sx")\n(epoch 3)\n(load "lib/common-lisp/clos.sx")\n(epoch 4)\n(load "%s")\n(epoch 5)\n(eval "%s")\n(epoch 6)\n(eval "%s")\n(epoch 7)\n(eval "%s")\n' \
+  printf '(epoch 1)\n(load "spec/stdlib.sx")\n(epoch 2)\n(load "lib/common-lisp/runtime.sx")\n(epoch 3)\n(load "lib/guest/reflective/class-chain.sx")\n(load "lib/common-lisp/clos.sx")\n(epoch 4)\n(load "%s")\n(epoch 5)\n(eval "%s")\n(epoch 6)\n(eval "%s")\n(epoch 7)\n(eval "%s")\n' \
     "$prog" "$pass_var" "$fail_var" "$failures_var" > "$PROG_FILE"
   local OUT; OUT=$(timeout 20 "$SX_SERVER" < "$PROG_FILE" 2>/dev/null)
   rm -f "$PROG_FILE"

lib/datalog/aggregates.sx

@@ -0,0 +1,157 @@
+;; lib/datalog/aggregates.sx — count / sum / min / max / findall.
+;;
+;; Surface form (always 3-arg after the relation name):
+;;
+;;   (count   Result  Var  GoalLit)
+;;   (sum     Result  Var  GoalLit)
+;;   (min     Result  Var  GoalLit)
+;;   (max     Result  Var  GoalLit)
+;;   (findall List    Var  GoalLit)
+;;
+;; Parsed naturally because arg-position compounds are already allowed
+;; (Phase 4 needs them for arithmetic). At evaluation time the aggregator
+;; runs `dl-find-bindings` on `GoalLit` under the current subst, collects
+;; the distinct values of `Var`, and binds `Result`.
+;;
+;; Aggregation is non-monotonic — `count(C, X, p(X))` shrinks as p loses
+;; tuples. The stratifier (lib/datalog/strata.sx) treats every aggregate's
+;; goal relation as a negation-like edge so the inner relation is fully
+;; derived before the aggregate fires.
+;;
+;; Empty input: count → 0, sum → 0, min/max → no binding (rule fails).
+
+(define dl-aggregate-rels (list "count" "sum" "min" "max" "findall"))
+
+(define
+  dl-aggregate?
+  (fn
+    (lit)
+    (and
+      (list? lit)
+      (>= (len lit) 4)
+      (let ((rel (dl-rel-name lit)))
+        (cond
+          ((nil? rel) false)
+          (else (dl-member-string? rel dl-aggregate-rels)))))))
+
+;; Apply aggregation operator to a list of (already-distinct) numeric or
+;; symbolic values. Returns the aggregated value, or :empty if min/max
+;; has no input.
+(define
+  dl-do-aggregate
+  (fn
+    (op vals)
+    (cond
+      ((= op "count") (len vals))
+      ((= op "sum") (dl-sum-vals vals 0))
+      ((= op "findall") vals)
+      ((= op "min")
+        (cond
+          ((= (len vals) 0) :empty)
+          (else (dl-min-vals vals 1 (first vals)))))
+      ((= op "max")
+        (cond
+          ((= (len vals) 0) :empty)
+          (else (dl-max-vals vals 1 (first vals)))))
+      (else (error (str "datalog: unknown aggregate " op))))))
+
+(define
+  dl-sum-vals
+  (fn
+    (vals acc)
+    (cond
+      ((= (len vals) 0) acc)
+      (else (dl-sum-vals (rest vals) (+ acc (first vals)))))))
+
+(define
+  dl-min-vals
+  (fn
+    (vals i cur)
+    (cond
+      ((>= i (len vals)) cur)
+      (else
+        (let ((v (nth vals i)))
+          (dl-min-vals vals (+ i 1) (if (< v cur) v cur)))))))
+
+(define
+  dl-max-vals
+  (fn
+    (vals i cur)
+    (cond
+      ((>= i (len vals)) cur)
+      (else
+        (let ((v (nth vals i)))
+          (dl-max-vals vals (+ i 1) (if (> v cur) v cur)))))))
+
+;; Membership check by deep equality (so 30 == 30.0 etc).
+(define
+  dl-val-member?
+  (fn
+    (v xs)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-tuple-equal? v (first xs)) true)
+      (else (dl-val-member? v (rest xs))))))
+
+;; Evaluate an aggregate body lit under `subst`. Returns the list of
+;; extended substitutions (0 or 1 element).
+(define
+  dl-eval-aggregate
+  (fn
+    (lit db subst)
+    (let
+      ((op (dl-rel-name lit))
+        (result-var (nth lit 1))
+        (agg-var (nth lit 2))
+        (goal (nth lit 3)))
+      (cond
+        ((not (dl-var? agg-var))
+          (error (str "datalog aggregate (" op
+                      "): second arg must be a variable, got " agg-var)))
+        ((not (and (list? goal) (> (len goal) 0)
+                   (symbol? (first goal))))
+          (error (str "datalog aggregate (" op
+                      "): third arg must be a positive literal, got "
+                      goal)))
+        ((not (dl-member-string?
+                (symbol->string agg-var)
+                (dl-vars-of goal)))
+          (error (str "datalog aggregate (" op
+                      "): aggregation variable " agg-var
+                      " does not appear in the goal " goal
+                      " — without it every match contributes the same "
+                      "(unbound) value and the result is meaningless")))
+        (else
+          (let ((vals (list)))
+            (do
+              (for-each
+                (fn
+                  (s)
+                  (let ((v (dl-apply-subst agg-var s)))
+                    (when (not (dl-val-member? v vals))
+                      (append! vals v))))
+                (dl-find-bindings (list goal) db subst))
+              (let ((agg-val (dl-do-aggregate op vals)))
+                (cond
+                  ((= agg-val :empty) (list))
+                  (else
+                    (let ((s2 (dl-unify result-var agg-val subst)))
+                      (if (nil? s2) (list) (list s2)))))))))))))
+
+
+;; Stratification edges from aggregates: like negation, the goal's
+;; relation must be in a strictly lower stratum so that the aggregate
+;; fires only after the underlying tuples are settled.
+(define
+  dl-aggregate-dep-edge
+  (fn
+    (lit)
+    (cond
+      ((dl-aggregate? lit)
+        (let ((goal (nth lit 3)))
+          (cond
+            ((and (list? goal) (> (len goal) 0))
+              (let ((rel (dl-rel-name goal)))
+                (if (nil? rel) nil {:rel rel :neg true})))
+            (else nil))))
+      (else nil))))

lib/datalog/api.sx

@@ -0,0 +1,303 @@
+;; lib/datalog/api.sx — SX-data embedding API.
+;;
+;; Where Phase 1's `dl-program` takes a Datalog source string,
+;; this module exposes a parser-free API that consumes SX data
+;; directly. Two rule shapes are accepted:
+;;
+;;   - dict:   {:head <literal> :body (<literal> ...)}
+;;   - list:   (<head-elements...> <- <body-literal> ...)
+;;             — `<-` is an SX symbol used as the rule arrow.
+;;
+;; Examples:
+;;
+;;   (dl-program-data
+;;     '((parent tom bob) (parent tom liz) (parent bob ann))
+;;     '((ancestor X Y <- (parent X Y))
+;;       (ancestor X Z <- (parent X Y) (ancestor Y Z))))
+;;
+;;   (dl-query db '(ancestor tom X))   ; same query API as before
+;;
+;; Variables follow the parser convention: SX symbols whose first
+;; character is uppercase or `_` are variables.
+
+(define
+  dl-rule
+  (fn (head body) {:head head :body body}))
+
+(define
+  dl-rule-arrow?
+  (fn
+    (x)
+    (and (symbol? x) (= (symbol->string x) "<-"))))
+
+(define
+  dl-find-arrow
+  (fn
+    (rl i n)
+    (cond
+      ((>= i n) nil)
+      ((dl-rule-arrow? (nth rl i)) i)
+      (else (dl-find-arrow rl (+ i 1) n)))))
+
+;; Given a list of the form (head-elt ... <- body-lit ...) returns
+;; {:head (head-elt ...) :body (body-lit ...)}. If no arrow is
+;; present, the whole list is treated as the head and the body is
+;; empty (i.e. a fact written rule-style).
+(define
+  dl-rule-from-list
+  (fn
+    (rl)
+    (let ((n (len rl)))
+      (let ((idx (dl-find-arrow rl 0 n)))
+        (cond
+          ((nil? idx) {:head rl :body (list)})
+          (else
+            (let
+              ((head (slice rl 0 idx))
+                (body (slice rl (+ idx 1) n)))
+              {:head head :body body})))))))
+
+;; Coerce a rule given as either a dict or a list-with-arrow to a dict.
+(define
+  dl-coerce-rule
+  (fn
+    (r)
+    (cond
+      ((dict? r) r)
+      ((list? r) (dl-rule-from-list r))
+      (else (error (str "dl-coerce-rule: expected dict or list, got " r))))))
+
+;; Build a db from SX data lists.
+(define
+  dl-program-data
+  (fn
+    (facts rules)
+    (let ((db (dl-make-db)))
+      (do
+        (for-each (fn (lit) (dl-add-fact! db lit)) facts)
+        (for-each
+          (fn (r) (dl-add-rule! db (dl-coerce-rule r)))
+          rules)
+        db))))
+
+;; Add a single fact at runtime, then re-saturate the db so derived
+;; tuples reflect the change. Returns the db.
+(define
+  dl-assert!
+  (fn
+    (db lit)
+    (do
+      (dl-add-fact! db lit)
+      (dl-saturate! db)
+      db)))
+
+;; Remove a fact and re-saturate. Mixed relations (which have BOTH
+;; user-asserted facts AND rules) are supported via :edb-keys provenance
+;; — explicit facts are marked at dl-add-fact! time, the saturator uses
+;; dl-add-derived! which doesn't mark them, so the retract pass can
+;; safely wipe IDB-derived tuples while preserving the user's EDB.
+;;
+;; Effect:
+;;   - remove tuples matching `lit` from :facts and :edb-keys
+;;   - for every relation that has a rule (i.e. potentially IDB or
+;;     mixed), drop the IDB-derived portion (anything not in :edb-keys)
+;;     so the saturator can re-derive cleanly
+;;   - re-saturate
+(define
+  dl-retract!
+  (fn
+    (db lit)
+    (let
+      ((rel-key (dl-rel-name lit)))
+      (do
+        ;; Drop the matching tuple from its relation list, its facts-keys,
+        ;; its first-arg index, AND from :edb-keys (if present).
+        (when
+          (has-key? (get db :facts) rel-key)
+          (let
+            ((existing (get (get db :facts) rel-key))
+              (kept (list))
+              (kept-keys {})
+              (kept-index {})
+              (edb-rel (cond
+                         ((has-key? (get db :edb-keys) rel-key)
+                           (get (get db :edb-keys) rel-key))
+                         (else nil)))
+              (kept-edb {}))
+            (do
+              (for-each
+                (fn
+                  (t)
+                  (when
+                    (not (dl-tuple-equal? t lit))
+                    (do
+                      (append! kept t)
+                      (let ((tk (dl-tuple-key t)))
+                        (do
+                          (dict-set! kept-keys tk true)
+                          (when
+                            (and (not (nil? edb-rel))
+                                 (has-key? edb-rel tk))
+                            (dict-set! kept-edb tk true))))
+                      (when
+                        (>= (len t) 2)
+                        (let ((k (dl-arg-key (nth t 1))))
+                          (do
+                            (when
+                              (not (has-key? kept-index k))
+                              (dict-set! kept-index k (list)))
+                            (append! (get kept-index k) t)))))))
+                existing)
+              (dict-set! (get db :facts) rel-key kept)
+              (dict-set! (get db :facts-keys) rel-key kept-keys)
+              (dict-set! (get db :facts-index) rel-key kept-index)
+              (when
+                (not (nil? edb-rel))
+                (dict-set! (get db :edb-keys) rel-key kept-edb)))))
+        ;; For each rule-head relation, strip the IDB-derived tuples
+        ;; (anything not marked in :edb-keys) so the saturator can
+        ;; cleanly re-derive without leaving stale tuples that depended
+        ;; on the now-removed fact.
+        (let ((rule-heads (dl-rule-head-rels db)))
+          (for-each
+            (fn
+              (k)
+              (when
+                (has-key? (get db :facts) k)
+                (let
+                  ((existing (get (get db :facts) k))
+                    (kept (list))
+                    (kept-keys {})
+                    (kept-index {})
+                    (edb-rel (cond
+                               ((has-key? (get db :edb-keys) k)
+                                 (get (get db :edb-keys) k))
+                               (else {}))))
+                  (do
+                    (for-each
+                      (fn
+                        (t)
+                        (let ((tk (dl-tuple-key t)))
+                          (when
+                            (has-key? edb-rel tk)
+                            (do
+                              (append! kept t)
+                              (dict-set! kept-keys tk true)
+                              (when
+                                (>= (len t) 2)
+                                (let ((kk (dl-arg-key (nth t 1))))
+                                  (do
+                                    (when
+                                      (not (has-key? kept-index kk))
+                                      (dict-set! kept-index kk (list)))
+                                    (append! (get kept-index kk) t))))))))
+                      existing)
+                    (dict-set! (get db :facts) k kept)
+                    (dict-set! (get db :facts-keys) k kept-keys)
+                    (dict-set! (get db :facts-index) k kept-index)))))
+            rule-heads))
+        (dl-saturate! db)
+        db))))
+
+;; ── Convenience: single-call source + query ───────────────────
+;; (dl-eval source query-source) parses both, builds a db, saturates,
+;; runs the query, returns the substitution list. The query source
+;; should be `?- goal[, goal ...].` — the parser produces a clause
+;; with :query containing a list of literals which is fed straight
+;; to dl-query.
+(define
+  dl-eval
+  (fn
+    (source query-source)
+    (let
+      ((db (dl-program source))
+        (queries (dl-parse query-source)))
+      (cond
+        ((= (len queries) 0) (error "dl-eval: query string is empty"))
+        ((not (has-key? (first queries) :query))
+          (error "dl-eval: second arg must be a `?- ...` query clause"))
+        (else
+          (dl-query db (get (first queries) :query)))))))
+
+;; (dl-eval-magic source query-source) — like dl-eval but routes a
+;; single-positive-literal query through `dl-magic-query` for goal-
+;; directed evaluation. Multi-literal query bodies fall back to the
+;; standard dl-query path (magic-sets is currently only wired for
+;; single-positive goals). The caller's source is parsed afresh
+;; each call so successive invocations are independent.
+(define
+  dl-eval-magic
+  (fn
+    (source query-source)
+    (let
+      ((db (dl-program source))
+        (queries (dl-parse query-source)))
+      (cond
+        ((= (len queries) 0) (error "dl-eval-magic: query string is empty"))
+        ((not (has-key? (first queries) :query))
+          (error
+            "dl-eval-magic: second arg must be a `?- ...` query clause"))
+        (else
+          (let
+            ((qbody (get (first queries) :query)))
+            (cond
+              ((and (= (len qbody) 1)
+                    (list? (first qbody))
+                    (> (len (first qbody)) 0)
+                    (symbol? (first (first qbody))))
+                (dl-magic-query db (first qbody)))
+              (else (dl-query db qbody)))))))))
+
+;; List rules whose head's relation matches `rel-name`. Useful for
+;; inspection ("show me how this relation is derived") without
+;; exposing the internal `:rules` list.
+(define
+  dl-rules-of
+  (fn
+    (db rel-name)
+    (let ((out (list)))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (when
+              (= (dl-rel-name (get rule :head)) rel-name)
+              (append! out rule)))
+          (dl-rules db))
+        out))))
+
+(define
+  dl-rule-head-rels
+  (fn
+    (db)
+    (let ((seen (list)))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (let ((h (dl-rel-name (get rule :head))))
+              (when
+                (and (not (nil? h)) (not (dl-member-string? h seen)))
+                (append! seen h))))
+          (dl-rules db))
+        seen))))
+
+;; Wipe every relation that has at least one rule (i.e. every IDB
+;; relation) — leaves EDB facts and rule definitions intact. Useful
+;; before a follow-up `dl-saturate!` if you want a clean restart, or
+;; for inspection of the EDB-only baseline.
+(define
+  dl-clear-idb!
+  (fn
+    (db)
+    (let ((rule-heads (dl-rule-head-rels db)))
+      (do
+        (for-each
+          (fn
+            (k)
+            (do
+              (dict-set! (get db :facts) k (list))
+              (dict-set! (get db :facts-keys) k {})
+              (dict-set! (get db :facts-index) k {})))
+          rule-heads)
+        db))))

lib/datalog/builtins.sx

@@ -0,0 +1,406 @@
+;; lib/datalog/builtins.sx — comparison + arithmetic body literals.
+;;
+;; Built-in predicates filter / extend candidate substitutions during
+;; rule evaluation. They are not stored facts and do not participate in
+;; the Herbrand base.
+;;
+;;   (< a b)  (<= a b)  (> a b)  (>= a b)   ; numeric (or string) compare
+;;   (= a b)                                  ; unify (binds vars)
+;;   (!= a b)                                ; ground-only inequality
+;;   (is X expr)                              ; bind X to expr's value
+;;
+;; Arithmetic expressions are SX-list compounds:
+;;   (+ a b)  (- a b)  (* a b)  (/ a b)
+;; or numbers / variables (must be bound at evaluation time).
+
+(define
+  dl-comparison?
+  (fn
+    (lit)
+    (and
+      (list? lit)
+      (> (len lit) 0)
+      (let
+        ((rel (dl-rel-name lit)))
+        (cond
+          ((nil? rel) false)
+          (else (dl-member-string? rel (list "<" "<=" ">" ">=" "!="))))))))
+
+(define
+  dl-eq?
+  (fn
+    (lit)
+    (and
+      (list? lit)
+      (> (len lit) 0)
+      (let ((rel (dl-rel-name lit))) (and (not (nil? rel)) (= rel "=")))))) 
+
+(define
+  dl-is?
+  (fn
+    (lit)
+    (and
+      (list? lit)
+      (> (len lit) 0)
+      (let
+        ((rel (dl-rel-name lit)))
+        (and (not (nil? rel)) (= rel "is")))))) 
+
+;; Evaluate an arithmetic expression under subst. Returns the numeric
+;; result, or raises if any operand is unbound or non-numeric.
+(define
+  dl-eval-arith
+  (fn
+    (expr subst)
+    (let
+      ((w (dl-walk expr subst)))
+      (cond
+        ((number? w) w)
+        ((dl-var? w)
+          (error (str "datalog arith: unbound variable " (symbol->string w))))
+        ((list? w)
+          (let
+            ((rel (dl-rel-name w)) (args (rest w)))
+            (cond
+              ((not (= (len args) 2))
+                (error (str "datalog arith: need 2 args, got " w)))
+              (else
+                (let
+                  ((a (dl-eval-arith (first args) subst))
+                    (b (dl-eval-arith (nth args 1) subst)))
+                  (cond
+                    ((= rel "+") (+ a b))
+                    ((= rel "-") (- a b))
+                    ((= rel "*") (* a b))
+                    ((= rel "/")
+                      (cond
+                        ((= b 0)
+                          (error
+                            (str "datalog arith: division by zero in "
+                                 w)))
+                        (else (/ a b))))
+                    (else (error (str "datalog arith: unknown op " rel)))))))))
+        (else (error (str "datalog arith: not a number — " w)))))))
+
+;; Comparable types — both operands must be the same primitive type
+;; (both numbers, both strings). `!=` is the exception: it's defined
+;; for any pair (returns true iff not equal) since dl-tuple-equal?
+;; handles type-mixed comparisons.
+(define
+  dl-compare-typeok?
+  (fn
+    (rel a b)
+    (cond
+      ((= rel "!=") true)
+      ((and (number? a) (number? b)) true)
+      ((and (string? a) (string? b)) true)
+      (else false))))
+
+(define
+  dl-eval-compare
+  (fn
+    (lit subst)
+    (let
+      ((rel (dl-rel-name lit))
+        (a (dl-walk (nth lit 1) subst))
+        (b (dl-walk (nth lit 2) subst)))
+      (cond
+        ((or (dl-var? a) (dl-var? b))
+          (error
+            (str
+              "datalog: comparison "
+              rel
+              " has unbound argument; "
+              "ensure prior body literal binds the variable")))
+        ((not (dl-compare-typeok? rel a b))
+          (error
+            (str "datalog: comparison " rel " requires same-type "
+                 "operands (both numbers or both strings), got "
+                 a " and " b)))
+        (else
+          (let
+            ((ok (cond ((= rel "<") (< a b)) ((= rel "<=") (<= a b)) ((= rel ">") (> a b)) ((= rel ">=") (>= a b)) ((= rel "!=") (not (dl-tuple-equal? a b))) (else (error (str "datalog: unknown compare " rel))))))
+            (if ok subst nil)))))))
+
+(define
+  dl-eval-eq
+  (fn
+    (lit subst)
+    (dl-unify (nth lit 1) (nth lit 2) subst)))
+
+(define
+  dl-eval-is
+  (fn
+    (lit subst)
+    (let
+      ((target (nth lit 1)) (expr (nth lit 2)))
+      (let
+        ((value (dl-eval-arith expr subst)))
+        (dl-unify target value subst)))))
+
+(define
+  dl-eval-builtin
+  (fn
+    (lit subst)
+    (cond
+      ((dl-comparison? lit) (dl-eval-compare lit subst))
+      ((dl-eq? lit) (dl-eval-eq lit subst))
+      ((dl-is? lit) (dl-eval-is lit subst))
+      (else (error (str "dl-eval-builtin: not a built-in: " lit))))))
+
+;; ── Safety analysis ──────────────────────────────────────────────
+;;
+;; Walks body literals left-to-right tracking a "bound" set. The check
+;; understands these literal kinds:
+;;
+;;   positive non-built-in    → adds its vars to bound
+;;   (is X expr)              → vars(expr) ⊆ bound, then add X (if var)
+;;   <,<=,>,>=,!=             → all vars ⊆ bound (no binding)
+;;   (= a b) where:
+;;       both non-vars        → constraint check, no binding
+;;       a var, b not         → bind a
+;;       b var, a not         → bind b
+;;       both vars            → at least one in bound; bind the other
+;;   {:neg lit}               → all vars ⊆ bound (Phase 7 enforces fully)
+;;
+;; At end, head vars (minus `_`) must be ⊆ bound.
+
+(define
+  dl-vars-not-in
+  (fn
+    (vs bound)
+    (let
+      ((out (list)))
+      (do
+        (for-each
+          (fn
+            (v)
+            (when (not (dl-member-string? v bound)) (append! out v)))
+          vs)
+        out))))
+
+;; Filter a list of variable-name strings to exclude anonymous-renamed
+;; vars (`_` in source → `_anon*` by dl-rename-anon-term). Used by
+;; the negation safety check, where anonymous vars are existential
+;; within the negated literal.
+(define
+  dl-non-anon-vars
+  (fn
+    (vs)
+    (let
+      ((out (list)))
+      (do
+        (for-each
+          (fn
+            (v)
+            (when
+              (not (and (>= (len v) 5)
+                        (= (slice v 0 5) "_anon")))
+              (append! out v)))
+          vs)
+        out))))
+
+(define
+  dl-rule-check-safety
+  (fn
+    (rule)
+    (let
+      ((head (get rule :head))
+        (body (get rule :body))
+        (bound (list))
+        (err nil))
+      (do
+        (define
+          dl-add-bound!
+          (fn
+            (vs)
+            (for-each
+              (fn
+                (v)
+                (when (not (dl-member-string? v bound)) (append! bound v)))
+              vs)))
+        (define
+          dl-process-eq!
+          (fn
+            (lit)
+            (let
+              ((a (nth lit 1)) (b (nth lit 2)))
+              (let
+                ((va (dl-var? a)) (vb (dl-var? b)))
+                (cond
+                  ((and (not va) (not vb)) nil)
+                  ((and va (not vb))
+                    (dl-add-bound! (list (symbol->string a))))
+                  ((and (not va) vb)
+                    (dl-add-bound! (list (symbol->string b))))
+                  (else
+                    (let
+                      ((sa (symbol->string a)) (sb (symbol->string b)))
+                      (cond
+                        ((dl-member-string? sa bound)
+                          (dl-add-bound! (list sb)))
+                        ((dl-member-string? sb bound)
+                          (dl-add-bound! (list sa)))
+                        (else
+                          (set!
+                            err
+                            (str
+                              "= between two unbound variables "
+                              (list sa sb)
+                              " — at least one must be bound by an "
+                              "earlier positive body literal")))))))))))
+        (define
+          dl-process-cmp!
+          (fn
+            (lit)
+            (let
+              ((needed (dl-vars-of (list (nth lit 1) (nth lit 2)))))
+              (let
+                ((missing (dl-vars-not-in needed bound)))
+                (when
+                  (> (len missing) 0)
+                  (set!
+                    err
+                    (str
+                      "comparison "
+                      (dl-rel-name lit)
+                      " requires bound variable(s) "
+                      missing
+                      " (must be bound by an earlier positive "
+                      "body literal)")))))))
+        (define
+          dl-process-is!
+          (fn
+            (lit)
+            (let
+              ((tgt (nth lit 1)) (expr (nth lit 2)))
+              (let
+                ((needed (dl-vars-of expr)))
+                (let
+                  ((missing (dl-vars-not-in needed bound)))
+                  (cond
+                    ((> (len missing) 0)
+                      (set!
+                        err
+                        (str
+                          "is RHS uses unbound variable(s) "
+                          missing
+                          " — bind them via a prior positive body "
+                          "literal")))
+                    (else
+                      (when
+                        (dl-var? tgt)
+                        (dl-add-bound! (list (symbol->string tgt)))))))))))
+        (define
+          dl-process-neg!
+          (fn
+            (lit)
+            (let
+              ((inner (get lit :neg)))
+              (let
+                ((inner-rn
+                   (cond
+                     ((and (list? inner) (> (len inner) 0))
+                       (dl-rel-name inner))
+                     (else nil)))
+                  ;; Anonymous variables (`_` in source → `_anon*` after
+                  ;; renaming) are existentially quantified within the
+                  ;; negated literal — they don't need to be bound by
+                  ;; an earlier body lit, since `not p(X, _)` is a
+                  ;; valid idiom for "no Y exists s.t. p(X, Y)". Filter
+                  ;; them out of the safety check.
+                  (needed (dl-non-anon-vars (dl-vars-of inner)))
+                  (missing (dl-vars-not-in needed bound)))
+                (cond
+                  ((and (not (nil? inner-rn)) (dl-reserved-rel? inner-rn))
+                    (set! err
+                      (str "negated literal uses reserved name '"
+                           inner-rn
+                           "' — nested `not(...)` / negated built-ins are "
+                           "not supported; introduce an intermediate "
+                           "relation and negate that")))
+                  ((> (len missing) 0)
+                    (set! err
+                      (str "negation refers to unbound variable(s) "
+                           missing
+                           " — they must be bound by an earlier "
+                           "positive body literal"))))))))
+        (define
+          dl-process-agg!
+          (fn
+            (lit)
+            (let
+              ((result-var (nth lit 1)))
+              ;; Aggregate goal vars are existentially quantified within
+              ;; the aggregate; nothing required from outer context. The
+              ;; result var becomes bound after the aggregate fires.
+              (when
+                (dl-var? result-var)
+                (dl-add-bound! (list (symbol->string result-var)))))))
+
+        (define
+          dl-process-lit!
+          (fn
+            (lit)
+            (when
+              (nil? err)
+              (cond
+                ((and (dict? lit) (has-key? lit :neg))
+                  (dl-process-neg! lit))
+                ;; A bare dict that is not a recognised negation is
+                ;; almost certainly a typo (e.g. `{:negs ...}` instead
+                ;; of `{:neg ...}`). Without this guard the dict would
+                ;; silently fall through every clause; the head safety
+                ;; check would then flag the head variables as unbound
+                ;; even though the real bug is the malformed body lit.
+                ((dict? lit)
+                  (set! err
+                    (str "body literal is a dict but lacks :neg — "
+                         "the only dict-shaped body lit recognised is "
+                         "{:neg <positive-lit>} for stratified "
+                         "negation, got " lit)))
+                ((dl-aggregate? lit) (dl-process-agg! lit))
+                ((dl-eq? lit) (dl-process-eq! lit))
+                ((dl-is? lit) (dl-process-is! lit))
+                ((dl-comparison? lit) (dl-process-cmp! lit))
+                ((and (list? lit) (> (len lit) 0))
+                  (let ((rn (dl-rel-name lit)))
+                    (cond
+                      ((and (not (nil? rn)) (dl-reserved-rel? rn))
+                        (set! err
+                          (str "body literal uses reserved name '" rn
+                               "' — built-ins / aggregates have their own "
+                               "syntax; nested `not(...)` is not supported "
+                               "(use stratified negation via an "
+                               "intermediate relation)")))
+                      (else (dl-add-bound! (dl-vars-of lit))))))
+                (else
+                  ;; Anything that's not a dict, not a list, or an
+                  ;; empty list. Numbers / strings / symbols as body
+                  ;; lits don't make sense — surface the type.
+                  (set! err
+                    (str "body literal must be a positive lit, "
+                         "built-in, aggregate, or {:neg ...} dict, "
+                         "got " lit)))))))
+        (for-each dl-process-lit! body)
+        (when
+          (nil? err)
+          (let
+            ((head-vars (dl-vars-of head)) (missing (list)))
+            (do
+              (for-each
+                (fn
+                  (v)
+                  (when
+                    (and (not (dl-member-string? v bound)) (not (= v "_")))
+                    (append! missing v)))
+                head-vars)
+              (when
+                (> (len missing) 0)
+                (set!
+                  err
+                  (str
+                    "head variable(s) "
+                    missing
+                    " do not appear in any positive body literal"))))))
+        err))))

lib/datalog/conformance.conf

@@ -0,0 +1,32 @@
+# Datalog conformance config — sourced by lib/guest/conformance.sh.
+
+LANG_NAME=datalog
+MODE=dict
+
+PRELOADS=(
+  lib/datalog/tokenizer.sx
+  lib/datalog/parser.sx
+  lib/datalog/unify.sx
+  lib/datalog/db.sx
+  lib/datalog/builtins.sx
+  lib/datalog/aggregates.sx
+  lib/datalog/strata.sx
+  lib/datalog/eval.sx
+  lib/datalog/api.sx
+  lib/datalog/magic.sx
+  lib/datalog/demo.sx
+)
+
+SUITES=(
+  "tokenize:lib/datalog/tests/tokenize.sx:(dl-tokenize-tests-run!)"
+  "parse:lib/datalog/tests/parse.sx:(dl-parse-tests-run!)"
+  "unify:lib/datalog/tests/unify.sx:(dl-unify-tests-run!)"
+  "eval:lib/datalog/tests/eval.sx:(dl-eval-tests-run!)"
+  "builtins:lib/datalog/tests/builtins.sx:(dl-builtins-tests-run!)"
+  "semi_naive:lib/datalog/tests/semi_naive.sx:(dl-semi-naive-tests-run!)"
+  "negation:lib/datalog/tests/negation.sx:(dl-negation-tests-run!)"
+  "aggregates:lib/datalog/tests/aggregates.sx:(dl-aggregates-tests-run!)"
+  "api:lib/datalog/tests/api.sx:(dl-api-tests-run!)"
+  "magic:lib/datalog/tests/magic.sx:(dl-magic-tests-run!)"
+  "demo:lib/datalog/tests/demo.sx:(dl-demo-tests-run!)"
+)

lib/datalog/conformance.sh

@@ -0,0 +1,3 @@
+#!/usr/bin/env bash
+# Thin wrapper — see lib/guest/conformance.sh and lib/datalog/conformance.conf.
+exec bash "$(dirname "$0")/../guest/conformance.sh" "$(dirname "$0")/conformance.conf" "$@"

lib/datalog/datalog.sx

@@ -0,0 +1,97 @@
+;; lib/datalog/datalog.sx — public API documentation index.
+;;
+;; This file is reference-only — `load` is an epoch-protocol command,
+;; not an SX function, so it cannot reload a list of files from inside
+;; another `.sx` file. To set up a fresh sx_server session with all
+;; modules in scope, issue these loads in order:
+;;
+;;   (load "lib/datalog/tokenizer.sx")
+;;   (load "lib/datalog/parser.sx")
+;;   (load "lib/datalog/unify.sx")
+;;   (load "lib/datalog/db.sx")
+;;   (load "lib/datalog/builtins.sx")
+;;   (load "lib/datalog/aggregates.sx")
+;;   (load "lib/datalog/strata.sx")
+;;   (load "lib/datalog/eval.sx")
+;;   (load "lib/datalog/api.sx")
+;;   (load "lib/datalog/magic.sx")
+;;   (load "lib/datalog/demo.sx")
+;;
+;; (lib/datalog/conformance.sh runs this load list automatically.)
+;;
+;; ── Public API surface ─────────────────────────────────────────────
+;;
+;;   Source / data:
+;;     (dl-tokenize "src")              → token list
+;;     (dl-parse "src")                 → parsed clauses
+;;     (dl-program "src")               → db built from a source string
+;;     (dl-program-data facts rules)    → db from SX data lists; rules
+;;                                        accept either dict form or
+;;                                        list form with `<-` arrow
+;;
+;;   Construction (mutates db):
+;;     (dl-make-db)                     empty db
+;;     (dl-add-fact! db lit)            rejects non-ground
+;;     (dl-add-rule! db rule)           rejects unsafe rules
+;;     (dl-rule head body)              dict-rule constructor
+;;     (dl-add-clause! db clause)       parser output → fact or rule
+;;     (dl-load-program! db src)        string source
+;;     (dl-set-strategy! db strategy)   :semi-naive default; :magic
+;;                                        is informational, use
+;;                                        dl-magic-query for actual
+;;                                        magic-sets evaluation
+;;
+;;   Mutation:
+;;     (dl-assert! db lit)              add + re-saturate
+;;     (dl-retract! db lit)             drop EDB, wipe IDB, re-saturate
+;;     (dl-clear-idb! db)               wipe rule-headed relations
+;;
+;;   Query / inspection:
+;;     (dl-saturate! db)                stratified semi-naive default
+;;     (dl-saturate-naive! db)          reference (slow on chains)
+;;     (dl-saturate-rules! db rules)    per-rule-set semi-naive worker
+;;     (dl-query db goal)               list of substitution dicts
+;;     (dl-relation db rel-name)        tuple list for a relation
+;;     (dl-rules db)                    rule list
+;;     (dl-fact-count db)               total ground tuples
+;;     (dl-summary db)                  {<rel>: count} for inspection
+;;
+;;   Single-call convenience:
+;;     (dl-eval source query-source)         parse, run, return substs
+;;     (dl-eval-magic source query-source)   single-goal → magic-sets
+;;
+;;   Magic-sets (lib/datalog/magic.sx):
+;;     (dl-adorn-goal goal)             "b/f" adornment string
+;;     (dl-rule-sips rule head-adn)     SIPS analysis per body lit
+;;     (dl-magic-rewrite rules rel adn args)
+;;                                       rewritten rule list + seed
+;;     (dl-magic-query db query-goal)    end-to-end magic-sets query
+;;
+;; ── Body literal kinds ─────────────────────────────────────────────
+;;
+;;   Positive             (rel arg ... arg)
+;;   Negation             {:neg (rel arg ...)}
+;;   Comparison           (< X Y), (<= X Y), (> X Y), (>= X Y),
+;;                        (= X Y), (!= X Y)
+;;   Arithmetic           (is Z (+ X Y)) and (- * /)
+;;   Aggregation          (count R V Goal),  (sum R V Goal),
+;;                        (min R V Goal),    (max R V Goal),
+;;                        (findall L V Goal)
+;;
+;; ── Variable conventions ───────────────────────────────────────────
+;;
+;;   Variables: SX symbols whose first char is uppercase A–Z or '_'.
+;;   Anonymous '_' is renamed to a fresh _anon<N> per occurrence at
+;;   rule/query load time so multiple '_' don't unify.
+;;
+;; ── Demo programs ──────────────────────────────────────────────────
+;;
+;;   See lib/datalog/demo.sx — federation, content, permissions, and
+;;   the canonical "cooking posts by people I follow (transitively)"
+;;   example.
+;;
+;; ── Status ─────────────────────────────────────────────────────────
+;;
+;;   See plans/datalog-on-sx.md — phase-by-phase progress log and
+;;   roadmap. Run `bash lib/datalog/conformance.sh` to refresh
+;;   `lib/datalog/scoreboard.{json,md}`.

lib/datalog/db.sx

@@ -0,0 +1,575 @@
+;; lib/datalog/db.sx — Datalog database (EDB + IDB + rules) + safety hook.
+;;
+;; A db is a mutable dict:
+;;   {:facts {<rel-name-string> -> (literal ...)}
+;;    :rules ({:head literal :body (literal ...)} ...)}
+;;
+;; Facts are stored as full literals `(rel arg ... arg)` so they unify
+;; directly against rule body literals. Each relation's tuple list is
+;; deduplicated on insert.
+;;
+;; Phase 3 introduced safety analysis for head variables; Phase 4 (in
+;; lib/datalog/builtins.sx) swaps in the real `dl-rule-check-safety`,
+;; which is order-aware and understands built-in predicates.
+
+(define
+  dl-make-db
+  (fn ()
+    {:facts {}
+     :facts-keys {}
+     :facts-index {}
+     :edb-keys {}
+     :rules (list)
+     :strategy :semi-naive}))
+
+;; Record (rel-key, tuple-key) as user-asserted EDB. dl-add-fact! calls
+;; this when an explicit fact is added; the saturator (which uses
+;; dl-add-derived!) does NOT, so derived tuples never appear here.
+;; dl-retract! consults :edb-keys to know which tuples must survive
+;; the wipe-and-resaturate round-trip.
+(define
+  dl-mark-edb!
+  (fn
+    (db rel-key tk)
+    (let
+      ((edb (get db :edb-keys)))
+      (do
+        (when
+          (not (has-key? edb rel-key))
+          (dict-set! edb rel-key {}))
+        (dict-set! (get edb rel-key) tk true)))))
+
+(define
+  dl-edb-fact?
+  (fn
+    (db rel-key tk)
+    (let
+      ((edb (get db :edb-keys)))
+      (and (has-key? edb rel-key)
+           (has-key? (get edb rel-key) tk)))))
+
+;; Evaluation strategy. Default :semi-naive (used by dl-saturate!).
+;; :naive selects dl-saturate-naive! (slower but easier to reason
+;; about). :magic is a marker — goal-directed magic-sets evaluation
+;; is invoked separately via `dl-magic-query`; setting :magic here
+;; is purely informational. Any other value is rejected so typos
+;; don't silently fall back to the default.
+(define
+  dl-strategy-values
+  (list :semi-naive :naive :magic))
+
+(define
+  dl-set-strategy!
+  (fn
+    (db strategy)
+    (cond
+      ((not (dl-keyword-member? strategy dl-strategy-values))
+        (error (str "dl-set-strategy!: unknown strategy " strategy
+                    " — must be one of " dl-strategy-values)))
+      (else
+        (do
+          (dict-set! db :strategy strategy)
+          db)))))
+
+(define
+  dl-keyword-member?
+  (fn
+    (k xs)
+    (cond
+      ((= (len xs) 0) false)
+      ((= k (first xs)) true)
+      (else (dl-keyword-member? k (rest xs))))))
+
+(define
+  dl-get-strategy
+  (fn
+    (db)
+    (if (has-key? db :strategy) (get db :strategy) :semi-naive)))
+
+(define
+  dl-rel-name
+  (fn
+    (lit)
+    (cond
+      ((and (dict? lit) (has-key? lit :neg)) (dl-rel-name (get lit :neg)))
+      ((and (list? lit) (> (len lit) 0) (symbol? (first lit)))
+        (symbol->string (first lit)))
+      (else nil))))
+
+(define dl-builtin-rels (list "<" "<=" ">" ">=" "=" "!=" "is"))
+
+(define
+  dl-member-string?
+  (fn
+    (s xs)
+    (cond
+      ((= (len xs) 0) false)
+      ((= (first xs) s) true)
+      (else (dl-member-string? s (rest xs))))))
+
+(define
+  dl-builtin?
+  (fn
+    (lit)
+    (and
+      (list? lit)
+      (> (len lit) 0)
+      (let
+        ((rel (dl-rel-name lit)))
+        (cond
+          ((nil? rel) false)
+          (else (dl-member-string? rel dl-builtin-rels)))))))
+
+(define
+  dl-positive-lit?
+  (fn
+    (lit)
+    (cond
+      ((and (dict? lit) (has-key? lit :neg)) false)
+      ((dl-builtin? lit) false)
+      ((and (list? lit) (> (len lit) 0)) true)
+      (else false))))
+
+(define
+  dl-tuple-equal?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-tuple-equal-list? a b 0)))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-tuple-equal-list?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-tuple-equal? (nth a i) (nth b i))) false)
+      (else (dl-tuple-equal-list? a b (+ i 1))))))
+
+(define
+  dl-tuple-member?
+  (fn
+    (lit lits)
+    (dl-tuple-member-aux? lit lits 0 (len lits))))
+
+(define
+  dl-tuple-member-aux?
+  (fn
+    (lit lits i n)
+    (cond
+      ((>= i n) false)
+      ((dl-tuple-equal? lit (nth lits i)) true)
+      (else (dl-tuple-member-aux? lit lits (+ i 1) n)))))
+
+(define
+  dl-ensure-rel!
+  (fn
+    (db rel-key)
+    (let
+      ((facts (get db :facts))
+        (fk (get db :facts-keys))
+        (fi (get db :facts-index)))
+      (do
+        (when
+          (not (has-key? facts rel-key))
+          (dict-set! facts rel-key (list)))
+        (when
+          (not (has-key? fk rel-key))
+          (dict-set! fk rel-key {}))
+        (when
+          (not (has-key? fi rel-key))
+          (dict-set! fi rel-key {}))
+        (get facts rel-key)))))
+
+;; First-arg index helpers. Tuples are keyed by their first-after-rel
+;; arg's `(str ...)`; when that arg is a constant, dl-match-positive
+;; uses the index instead of scanning the full relation.
+(define
+  dl-arg-key
+  (fn
+    (v)
+    (str v)))
+
+(define
+  dl-index-add!
+  (fn
+    (db rel-key lit)
+    (let
+      ((idx (get db :facts-index))
+        (n (len lit)))
+      (when
+        (and (>= n 2) (has-key? idx rel-key))
+        (let
+          ((rel-idx (get idx rel-key))
+            (k (dl-arg-key (nth lit 1))))
+          (do
+            (when
+              (not (has-key? rel-idx k))
+              (dict-set! rel-idx k (list)))
+            (append! (get rel-idx k) lit)))))))
+
+(define
+  dl-index-lookup
+  (fn
+    (db rel-key arg-val)
+    (let
+      ((idx (get db :facts-index)))
+      (cond
+        ((not (has-key? idx rel-key)) (list))
+        (else
+          (let ((rel-idx (get idx rel-key))
+                (k (dl-arg-key arg-val)))
+            (if (has-key? rel-idx k) (get rel-idx k) (list))))))))
+
+(define dl-tuple-key (fn (lit) (str lit)))
+
+(define
+  dl-rel-tuples
+  (fn
+    (db rel-key)
+    (let
+      ((facts (get db :facts)))
+      (if (has-key? facts rel-key) (get facts rel-key) (list)))))
+
+;; Reserved relation names: built-in / aggregate / negation / arrow.
+;; Rules and facts may not have these as their head's relation, since
+;; the saturator treats them specially or they are not relation names
+;; at all.
+(define
+  dl-reserved-rel-names
+  (list "not" "count" "sum" "min" "max" "findall" "is"
+        "<" "<=" ">" ">=" "=" "!=" "+" "-" "*" "/" ":-" "?-"))
+
+(define
+  dl-reserved-rel?
+  (fn
+    (name) (dl-member-string? name dl-reserved-rel-names)))
+
+;; Internal: append a derived tuple to :facts without the public
+;; validation pass and without marking :edb-keys. Used by the saturator
+;; (eval.sx) and magic-sets (magic.sx). Returns true if the tuple was
+;; new, false if already present.
+(define
+  dl-add-derived!
+  (fn
+    (db lit)
+    (let
+      ((rel-key (dl-rel-name lit)))
+      (let
+        ((tuples (dl-ensure-rel! db rel-key))
+          (key-dict (get (get db :facts-keys) rel-key))
+          (tk (dl-tuple-key lit)))
+        (cond
+          ((has-key? key-dict tk) false)
+          (else
+            (do
+              (dict-set! key-dict tk true)
+              (append! tuples lit)
+              (dl-index-add! db rel-key lit)
+              true)))))))
+
+;; A simple term — number, string, or symbol — i.e. anything legal
+;; as an EDB fact arg. Compound (list) args belong only in body
+;; literals where they encode arithmetic / aggregate sub-goals.
+(define
+  dl-simple-term?
+  (fn
+    (term)
+    (or (number? term) (string? term) (symbol? term))))
+
+(define
+  dl-args-simple?
+  (fn
+    (lit i n)
+    (cond
+      ((>= i n) true)
+      ((not (dl-simple-term? (nth lit i))) false)
+      (else (dl-args-simple? lit (+ i 1) n)))))
+
+(define
+  dl-add-fact!
+  (fn
+    (db lit)
+    (cond
+      ((not (and (list? lit) (> (len lit) 0)))
+        (error (str "dl-add-fact!: expected literal list, got " lit)))
+      ((dl-reserved-rel? (dl-rel-name lit))
+        (error (str "dl-add-fact!: '" (dl-rel-name lit)
+                    "' is a reserved name (built-in / aggregate / negation)")))
+      ((not (dl-args-simple? lit 1 (len lit)))
+        (error (str "dl-add-fact!: fact args must be numbers, strings, "
+                    "or symbols — compound args (e.g. arithmetic "
+                    "expressions) are body-only and aren't evaluated "
+                    "in fact position. got " lit)))
+      ((not (dl-ground? lit (dl-empty-subst)))
+        (error (str "dl-add-fact!: expected ground literal, got " lit)))
+      (else
+        (let
+          ((rel-key (dl-rel-name lit)) (tk (dl-tuple-key lit)))
+          (do
+            ;; Always mark EDB origin — even if the tuple key was already
+            ;; present (e.g. previously derived), so an explicit assert
+            ;; promotes it to EDB and protects it from the IDB wipe.
+            (dl-mark-edb! db rel-key tk)
+            (dl-add-derived! db lit)))))))
+
+;; The full safety check lives in builtins.sx (it has to know which
+;; predicates are built-ins). dl-add-rule! calls it via forward
+;; reference; load builtins.sx alongside db.sx in any setup that
+;; adds rules. The fallback below is used if builtins.sx isn't loaded.
+(define
+  dl-rule-check-safety
+  (fn
+    (rule)
+    (let
+      ((head-vars (dl-vars-of (get rule :head))) (body-vars (list)))
+      (do
+        (for-each
+          (fn
+            (lit)
+            (when
+              (and
+                (list? lit)
+                (> (len lit) 0)
+                (not (and (dict? lit) (has-key? lit :neg))))
+              (for-each
+                (fn
+                  (v)
+                  (when
+                    (not (dl-member-string? v body-vars))
+                    (append! body-vars v)))
+                (dl-vars-of lit))))
+          (get rule :body))
+        (let
+          ((missing (list)))
+          (do
+            (for-each
+              (fn
+                (v)
+                (when
+                  (and
+                    (not (dl-member-string? v body-vars))
+                    (not (= v "_")))
+                  (append! missing v)))
+              head-vars)
+            (cond
+              ((> (len missing) 0)
+                (str
+                  "head variable(s) "
+                  missing
+                  " do not appear in any body literal"))
+              (else nil))))))))
+
+(define
+  dl-rename-anon-term
+  (fn
+    (term next-name)
+    (cond
+      ((and (symbol? term) (= (symbol->string term) "_"))
+        (next-name))
+      ((list? term)
+        (map (fn (x) (dl-rename-anon-term x next-name)) term))
+      (else term))))
+
+(define
+  dl-rename-anon-lit
+  (fn
+    (lit next-name)
+    (cond
+      ((and (dict? lit) (has-key? lit :neg))
+        {:neg (dl-rename-anon-term (get lit :neg) next-name)})
+      ((list? lit) (dl-rename-anon-term lit next-name))
+      (else lit))))
+
+(define
+  dl-make-anon-renamer
+  (fn
+    (start)
+    (let ((counter start))
+      (fn () (do (set! counter (+ counter 1))
+                 (string->symbol (str "_anon" counter)))))))
+
+;; Scan a rule for variables already named `_anon<N>` (which would
+;; otherwise collide with the renamer's output). Returns the max N
+;; seen, or 0 if none. The renamer then starts at that max + 1, so
+;; freshly-introduced anonymous names can't shadow a user-written
+;; `_anon<N>` symbol.
+(define
+  dl-max-anon-num
+  (fn
+    (term acc)
+    (cond
+      ((symbol? term)
+        (let ((s (symbol->string term)))
+          (cond
+            ((and (>= (len s) 6) (= (slice s 0 5) "_anon"))
+              (let ((n (dl-try-parse-int (slice s 5 (len s)))))
+                (cond
+                  ((nil? n) acc)
+                  ((> n acc) n)
+                  (else acc))))
+            (else acc))))
+      ((dict? term)
+        (cond
+          ((has-key? term :neg)
+            (dl-max-anon-num (get term :neg) acc))
+          (else acc)))
+      ((list? term) (dl-max-anon-num-list term acc 0))
+      (else acc))))
+
+(define
+  dl-max-anon-num-list
+  (fn
+    (xs acc i)
+    (cond
+      ((>= i (len xs)) acc)
+      (else
+        (dl-max-anon-num-list xs (dl-max-anon-num (nth xs i) acc) (+ i 1))))))
+
+;; Cheap "is this string a decimal int" check. Returns the number or
+;; nil. Avoids relying on host parse-number, which on non-int strings
+;; might raise rather than return nil.
+(define
+  dl-try-parse-int
+  (fn
+    (s)
+    (cond
+      ((= (len s) 0) nil)
+      ((not (dl-all-digits? s 0 (len s))) nil)
+      (else (parse-number s)))))
+
+(define
+  dl-all-digits?
+  (fn
+    (s i n)
+    (cond
+      ((>= i n) true)
+      ((let ((c (slice s i (+ i 1))))
+         (not (and (>= c "0") (<= c "9"))))
+        false)
+      (else (dl-all-digits? s (+ i 1) n)))))
+
+(define
+  dl-rename-anon-rule
+  (fn
+    (rule)
+    (let
+      ((start (dl-max-anon-num (get rule :head)
+                (dl-max-anon-num-list (get rule :body) 0 0))))
+      (let ((next-name (dl-make-anon-renamer start)))
+        {:head (dl-rename-anon-term (get rule :head) next-name)
+         :body (map (fn (lit) (dl-rename-anon-lit lit next-name))
+                    (get rule :body))}))))
+
+(define
+  dl-add-rule!
+  (fn
+    (db rule)
+    (cond
+      ((not (dict? rule))
+        (error (str "dl-add-rule!: expected rule dict, got " rule)))
+      ((not (has-key? rule :head))
+        (error (str "dl-add-rule!: rule missing :head, got " rule)))
+      ((not (and (list? (get rule :head))
+                 (> (len (get rule :head)) 0)
+                 (symbol? (first (get rule :head)))))
+        (error (str "dl-add-rule!: head must be a non-empty list "
+                    "starting with a relation-name symbol, got "
+                    (get rule :head))))
+      ((not (dl-args-simple? (get rule :head) 1 (len (get rule :head))))
+        (error (str "dl-add-rule!: rule head args must be variables or "
+                    "constants — compound terms (e.g. `(*(X, 2))`) are "
+                    "not legal in head position; introduce an `is`-bound "
+                    "intermediate in the body. got " (get rule :head))))
+      ((not (list? (if (has-key? rule :body) (get rule :body) (list))))
+        (error (str "dl-add-rule!: body must be a list of literals, got "
+                    (get rule :body))))
+      ((dl-reserved-rel? (dl-rel-name (get rule :head)))
+        (error (str "dl-add-rule!: '" (dl-rel-name (get rule :head))
+                    "' is a reserved name (built-in / aggregate / negation)")))
+      (else
+        (let ((rule (dl-rename-anon-rule rule)))
+          (let
+            ((err (dl-rule-check-safety rule)))
+            (cond
+              ((not (nil? err)) (error (str "dl-add-rule!: " err)))
+              (else
+                (let
+                  ((rules (get db :rules)))
+                  (do (append! rules rule) true))))))))))
+
+(define
+  dl-add-clause!
+  (fn
+    (db clause)
+    (cond
+      ((has-key? clause :query) false)
+      ((and (has-key? clause :body) (= (len (get clause :body)) 0))
+        (dl-add-fact! db (get clause :head)))
+      (else (dl-add-rule! db clause)))))
+
+(define
+  dl-load-program!
+  (fn
+    (db source)
+    (let
+      ((clauses (dl-parse source)))
+      (do (for-each (fn (c) (dl-add-clause! db c)) clauses) db))))
+
+(define
+  dl-program
+  (fn (source) (let ((db (dl-make-db))) (dl-load-program! db source))))
+
+(define dl-rules (fn (db) (get db :rules)))
+
+(define
+  dl-fact-count
+  (fn
+    (db)
+    (let
+      ((facts (get db :facts)) (total 0))
+      (do
+        (for-each
+          (fn (k) (set! total (+ total (len (get facts k)))))
+          (keys facts))
+        total))))
+
+;; Returns {<rel-name>: tuple-count} for debugging. Includes
+;; relations with any tuples plus all rule-head relations (so empty
+;; IDB shows as 0). Skips empty EDB-only entries that are placeholders
+;; from internal `dl-ensure-rel!` calls.
+(define
+  dl-summary
+  (fn
+    (db)
+    (let
+      ((facts (get db :facts))
+        (out {})
+        (rule-heads (list)))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (let ((h (dl-rel-name (get rule :head))))
+              (when
+                (and (not (nil? h)) (not (dl-member-string? h rule-heads)))
+                (append! rule-heads h))))
+          (dl-rules db))
+        (for-each
+          (fn
+            (k)
+            (let ((c (len (get facts k))))
+              (when
+                (or (> c 0) (dl-member-string? k rule-heads))
+                (dict-set! out k c))))
+          (keys facts))
+        ;; Add rule heads that have no facts (yet).
+        (for-each
+          (fn
+            (k)
+            (when (not (has-key? out k)) (dict-set! out k 0)))
+          rule-heads)
+        out))))

lib/datalog/demo.sx

@@ -0,0 +1,162 @@
+;; lib/datalog/demo.sx — example programs over rose-ash-shaped data.
+;;
+;; Phase 10 prototypes Datalog as a rose-ash query language. Wiring
+;; the EDB to actual PostgreSQL is out of scope for this loop (it
+;; would touch service code outside lib/datalog/), but the programs
+;; below show the shape of queries we want, and the test suite runs
+;; them against synthetic in-memory tuples loaded via dl-program-data.
+;;
+;; Seven thematic demos:
+;;
+;;   1. Federation — follow graph, transitive reach, mutuals, FOAF.
+;;   2. Content    — posts, tags, likes, popularity, "for you" feed.
+;;   3. Permissions — group membership and resource access.
+;;   4. Cooking-posts — canonical "posts about cooking by people I
+;;                      follow (transitively)" multi-domain query.
+;;   5. Tag co-occurrence — distinct (T1, T2) pairs with counts.
+;;   6. Shortest path  — weighted-DAG path enumeration + min agg.
+;;   7. Org chart      — transitive subordinate + headcount per mgr.
+
+;; ── Demo 1: federation follow graph ─────────────────────────────
+;; EDB: (follows ACTOR-A ACTOR-B) — A follows B.
+;; IDB:
+;;   (mutual A B)            — A follows B and B follows A
+;;   (reachable A B)         — transitive follow closure
+;;   (foaf A C)              — friend of a friend (mutual filter)
+(define
+  dl-demo-federation-rules
+  (quote
+    ((mutual A B <- (follows A B) (follows B A))
+     (reachable A B <- (follows A B))
+     (reachable A C <- (follows A B) (reachable B C))
+     (foaf A C <- (follows A B) (follows B C) (!= A C)))))
+
+;; ── Demo 2: content recommendation ──────────────────────────────
+;; EDB:
+;;   (authored ACTOR POST)
+;;   (tagged POST TAG)
+;;   (liked ACTOR POST)
+;; IDB:
+;;   (post-likes POST N)            — count of likes per post
+;;   (popular POST)                 — posts with >= 3 likes
+;;   (tagged-by-mutual ACTOR POST)  — post tagged TOPIC by someone
+;;                                    A's mutuals follow.
+(define
+  dl-demo-content-rules
+  (quote
+    ((post-likes P N <- (authored Author P) (count N L (liked L P)))
+     (popular P <- (authored Author P) (post-likes P N) (>= N 3))
+     (interesting Me P
+       <-
+       (follows Me Buddy)
+       (authored Buddy P)
+       (popular P)))))
+
+;; ── Demo 3: role-based permissions ──────────────────────────────
+;; EDB:
+;;   (member ACTOR GROUP)
+;;   (subgroup CHILD PARENT)
+;;   (allowed GROUP RESOURCE)
+;; IDB:
+;;   (in-group ACTOR GROUP)         — direct or via subgroup chain
+;;   (can-access ACTOR RESOURCE)    — actor inherits group permission
+(define
+  dl-demo-perm-rules
+  (quote
+    ((in-group A G <- (member A G))
+     (in-group A G <- (member A H) (subgroup-trans H G))
+     (subgroup-trans X Y <- (subgroup X Y))
+     (subgroup-trans X Z <- (subgroup X Y) (subgroup-trans Y Z))
+     (can-access A R <- (in-group A G) (allowed G R)))))
+
+;; ── Demo 4: cooking-posts (the canonical Phase 10 query) ────────
+;; "Posts about cooking by people I follow (transitively)."
+;; Combines federation (follows + transitive reach), authoring,
+;; tagging — the rose-ash multi-domain join.
+;;
+;; EDB:
+;;   (follows ACTOR-A ACTOR-B)
+;;   (authored ACTOR POST)
+;;   (tagged POST TAG)
+(define
+  dl-demo-cooking-rules
+  (quote
+    ((reach Me Them <- (follows Me Them))
+     (reach Me Them <- (follows Me X) (reach X Them))
+     (cooking-post-by-network Me P
+       <-
+       (reach Me Author)
+       (authored Author P)
+       (tagged P cooking)))))
+
+;; ── Demo 5: tag co-occurrence ───────────────────────────────────
+;; "Posts tagged with both T1 AND T2." Useful for narrowed-down
+;; recommendations like "vegetarian cooking" posts.
+;;
+;; EDB:
+;;   (tagged POST TAG)
+;; IDB:
+;;   (cotagged POST T1 T2)        — post has both T1 and T2 (T1 != T2)
+;;   (popular-pair T1 T2 N)       — count of posts cotagged (T1, T2)
+(define
+  dl-demo-tag-cooccur-rules
+  (quote
+    ((cotagged P T1 T2 <- (tagged P T1) (tagged P T2) (!= T1 T2))
+     ;; Distinct (T1, T2) pairs that occur somewhere.
+     (tag-pair T1 T2 <- (cotagged P T1 T2))
+     (tag-pair-count T1 T2 N
+       <-
+       (tag-pair T1 T2)
+       (count N P (cotagged P T1 T2))))))
+
+;; ── Demo 6: weighted-DAG shortest path ─────────────────────────
+;; "What's the cheapest way from X to Y?" Edge weights with `is`
+;; arithmetic to sum costs, then `min` aggregation to pick the
+;; shortest. Termination requires the graph to be a DAG (cycles
+;; would produce infinite distances without a bound; programs
+;; built on this should add a depth filter `(<, D, MAX)` if cycles
+;; are possible).
+;;
+;; EDB:
+;;   (edge FROM TO COST)
+;; IDB:
+;;   (path FROM TO COST)            — any path
+;;   (shortest FROM TO COST)        — minimum cost path
+(define
+  dl-demo-shortest-path-rules
+  (quote
+    ((path X Y W <- (edge X Y W))
+     (path X Z W
+       <-
+       (edge X Y W1)
+       (path Y Z W2)
+       (is W (+ W1 W2)))
+     (shortest X Y W <- (path X Y _) (min W C (path X Y C))))))
+
+;; ── Demo 7: org chart + transitive headcount ───────────────────
+;; Manager graph: each employee has a single manager. Compute the
+;; transitive subordinate set and headcount per manager.
+;;
+;; EDB:
+;;   (manager EMP MGR)            — EMP reports directly to MGR
+;; IDB:
+;;   (subordinate MGR EMP)        — EMP is in MGR's subtree
+;;   (headcount MGR N)            — number of subordinates under MGR
+(define
+  dl-demo-org-rules
+  (quote
+    ((subordinate Mgr Emp <- (manager Emp Mgr))
+     (subordinate Mgr Emp
+       <- (manager Mid Mgr) (subordinate Mid Emp))
+     (headcount Mgr N
+       <- (subordinate Mgr Anyone) (count N E (subordinate Mgr E))))))
+
+;; ── Loader stub ──────────────────────────────────────────────────
+;; Wiring to PostgreSQL would replace these helpers with calls into
+;; rose-ash's internal HTTP RPC (fetch_data → /internal/data/...).
+;; The shape returned by dl-load-from-edb! is the same in either case.
+(define
+  dl-demo-make
+  (fn
+    (facts rules)
+    (dl-program-data facts rules)))

lib/datalog/eval.sx

@@ -0,0 +1,512 @@
+;; lib/datalog/eval.sx — fixpoint evaluator (naive + semi-naive).
+;;
+;; Two saturators are exposed:
+;;   `dl-saturate-naive!` — re-joins each rule against the full DB every
+;;     iteration. Reference implementation; useful for differential tests.
+;;   `dl-saturate!`       — semi-naive default. Tracks per-relation delta
+;;     sets and substitutes one positive body literal per rule with the
+;;     delta of its relation, joining the rest against the previous-
+;;     iteration DB. Same fixpoint, dramatically less work on recursive
+;;     rules.
+;;
+;; Body literal kinds:
+;;   positive (rel arg ... arg)  → match against EDB+IDB tuples
+;;   built-in (< X Y), (is X e)  → constraint via dl-eval-builtin
+;;   negation {:neg lit}         → Phase 7
+
+(define
+  dl-match-positive
+  (fn
+    (lit db subst)
+    (let
+      ((rel (dl-rel-name lit)) (results (list)))
+      (cond
+        ((nil? rel) (error (str "dl-match-positive: bad literal " lit)))
+        (else
+          (let
+            ;; If the first argument walks to a non-variable (constant
+            ;; or already-bound var), use the first-arg index for
+            ;; this relation. Otherwise scan the full tuple list.
+            ((tuples
+               (cond
+                 ((>= (len lit) 2)
+                   (let ((walked (dl-walk (nth lit 1) subst)))
+                     (cond
+                       ((dl-var? walked) (dl-rel-tuples db rel))
+                       (else (dl-index-lookup db rel walked)))))
+                 (else (dl-rel-tuples db rel)))))
+            (do
+              (for-each
+                (fn
+                  (tuple)
+                  (let
+                    ((s (dl-unify lit tuple subst)))
+                    (when (not (nil? s)) (append! results s))))
+                tuples)
+              results)))))))
+
+;; Match a positive literal against the delta set for its relation only.
+(define
+  dl-match-positive-delta
+  (fn
+    (lit delta subst)
+    (let
+      ((rel (dl-rel-name lit)) (results (list)))
+      (let
+        ((tuples (if (has-key? delta rel) (get delta rel) (list))))
+        (do
+          (for-each
+            (fn
+              (tuple)
+              (let
+                ((s (dl-unify lit tuple subst)))
+                (when (not (nil? s)) (append! results s))))
+            tuples)
+          results)))))
+
+;; Naive matcher (for dl-saturate-naive! and dl-query post-saturation).
+(define
+  dl-match-negation
+  (fn
+    (inner db subst)
+    (let
+      ((walked (dl-apply-subst inner subst))
+        (matches (dl-match-positive inner db subst)))
+      (cond
+        ((= (len matches) 0) (list subst))
+        (else (list))))))
+
+(define
+  dl-match-lit
+  (fn
+    (lit db subst)
+    (cond
+      ((and (dict? lit) (has-key? lit :neg))
+        (dl-match-negation (get lit :neg) db subst))
+      ((dl-aggregate? lit) (dl-eval-aggregate lit db subst))
+      ((dl-builtin? lit)
+        (let
+          ((s (dl-eval-builtin lit subst)))
+          (if (nil? s) (list) (list s))))
+      ((and (list? lit) (> (len lit) 0))
+        (dl-match-positive lit db subst))
+      (else (error (str "datalog: unknown body-literal shape: " lit))))))
+
+(define
+  dl-find-bindings
+  (fn (lits db subst) (dl-fb-aux lits db subst 0 (len lits))))
+
+(define
+  dl-fb-aux
+  (fn
+    (lits db subst i n)
+    (cond
+      ((nil? subst) (list))
+      ((>= i n) (list subst))
+      (else
+        (let
+          ((options (dl-match-lit (nth lits i) db subst))
+            (results (list)))
+          (do
+            (for-each
+              (fn
+                (s)
+                (for-each
+                  (fn (s2) (append! results s2))
+                  (dl-fb-aux lits db s (+ i 1) n)))
+              options)
+            results))))))
+
+;; Naive: apply each rule against full DB until no new tuples.
+(define
+  dl-apply-rule!
+  (fn
+    (db rule)
+    (let
+      ((head (get rule :head)) (body (get rule :body)) (new? false))
+      (do
+        (for-each
+          (fn
+            (s)
+            (let
+              ((derived (dl-apply-subst head s)))
+              (when (dl-add-derived! db derived) (set! new? true))))
+          (dl-find-bindings body db (dl-empty-subst)))
+        new?))))
+
+;; Returns true iff one more saturation step would derive no new
+;; tuples (i.e. the db is at fixpoint). Useful in tests that want
+;; to assert "no work left" after a saturation call. Works under
+;; either saturator since both compute the same fixpoint.
+(define
+  dl-saturated?
+  (fn
+    (db)
+    (let ((any-new false))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (when (not any-new)
+              (for-each
+                (fn
+                  (s)
+                  (let ((derived (dl-apply-subst (get rule :head) s)))
+                    (when
+                      (and (not any-new)
+                           (not (dl-tuple-member?
+                                  derived
+                                  (dl-rel-tuples
+                                    db (dl-rel-name derived)))))
+                      (set! any-new true))))
+                (dl-find-bindings (get rule :body) db (dl-empty-subst)))))
+          (dl-rules db))
+        (not any-new)))))
+
+(define
+  dl-saturate-naive!
+  (fn
+    (db)
+    (let
+      ((changed true))
+      (do
+        (define
+          dl-snloop
+          (fn
+            ()
+            (when
+              changed
+              (do
+                (set! changed false)
+                (for-each
+                  (fn (r) (when (dl-apply-rule! db r) (set! changed true)))
+                  (dl-rules db))
+                (dl-snloop)))))
+        (dl-snloop)
+        db))))
+
+;; ── Semi-naive ───────────────────────────────────────────────────
+
+;; Take a snapshot dict {rel -> tuples} of every relation currently in
+;; the DB. Used as initial delta for the first iteration.
+(define
+  dl-snapshot-facts
+  (fn
+    (db)
+    (let
+      ((facts (get db :facts)) (out {}))
+      (do
+        (for-each
+          (fn (k) (dict-set! out k (dl-copy-list (get facts k))))
+          (keys facts))
+        out))))
+
+(define
+  dl-copy-list
+  (fn
+    (xs)
+    (let
+      ((out (list)))
+      (do (for-each (fn (x) (append! out x)) xs) out))))
+
+;; Does any relation in `delta` have ≥1 tuple?
+(define
+  dl-delta-empty?
+  (fn
+    (delta)
+    (let
+      ((ks (keys delta)) (any-non-empty false))
+      (do
+        (for-each
+          (fn
+            (k)
+            (when
+              (> (len (get delta k)) 0)
+              (set! any-non-empty true)))
+          ks)
+        (not any-non-empty)))))
+
+;; Find substitutions such that `lits` are all satisfied AND `delta-idx`
+;; is matched against the per-relation delta only. The other positive
+;; literals match against the snapshot DB (db.facts read at iteration
+;; start). Built-ins and negations behave as in `dl-match-lit`.
+(define
+  dl-find-bindings-semi
+  (fn
+    (lits db delta delta-idx subst)
+    (dl-fbs-aux lits db delta delta-idx 0 subst)))
+
+(define
+  dl-fbs-aux
+  (fn
+    (lits db delta delta-idx i subst)
+    (cond
+      ((nil? subst) (list))
+      ((>= i (len lits)) (list subst))
+      (else
+        (let
+          ((lit (nth lits i))
+            (options
+              (cond
+                ((and (dict? lit) (has-key? lit :neg))
+                  (dl-match-negation (get lit :neg) db subst))
+                ((dl-aggregate? lit) (dl-eval-aggregate lit db subst))
+                ((dl-builtin? lit)
+                  (let
+                    ((s (dl-eval-builtin lit subst)))
+                    (if (nil? s) (list) (list s))))
+                ((and (list? lit) (> (len lit) 0))
+                  (if
+                    (= i delta-idx)
+                    (dl-match-positive-delta lit delta subst)
+                    (dl-match-positive lit db subst)))
+                (else (error (str "datalog: unknown body-lit: " lit)))))
+            (results (list)))
+          (do
+            (for-each
+              (fn
+                (s)
+                (for-each
+                  (fn (s2) (append! results s2))
+                  (dl-fbs-aux lits db delta delta-idx (+ i 1) s)))
+              options)
+            results))))))
+
+;; Collect candidate head tuples from a rule using delta. Walks every
+;; positive body position and unions the resulting heads. For rules
+;; with no positive body literal, falls back to a naive single-pass
+;; (so static facts like `(p X) :- (= X 5).` derive on iteration 1).
+(define
+  dl-collect-rule-candidates
+  (fn
+    (rule db delta)
+    (let
+      ((head (get rule :head))
+        (body (get rule :body))
+        (out (list))
+        (saw-pos false))
+      (do
+        (define
+          dl-cri
+          (fn
+            (i)
+            (when
+              (< i (len body))
+              (do
+                (let
+                  ((lit (nth body i)))
+                  (when
+                    (dl-positive-lit? lit)
+                    (do
+                      (set! saw-pos true)
+                      (for-each
+                        (fn (s) (append! out (dl-apply-subst head s)))
+                        (dl-find-bindings-semi
+                          body
+                          db
+                          delta
+                          i
+                          (dl-empty-subst))))))
+                (dl-cri (+ i 1))))))
+        (dl-cri 0)
+        (when
+          (not saw-pos)
+          (for-each
+            (fn (s) (append! out (dl-apply-subst head s)))
+            (dl-find-bindings body db (dl-empty-subst))))
+        out))))
+
+;; Add a list of candidate tuples to db; collect newly-added ones into
+;; the new-delta dict (keyed by relation name).
+(define
+  dl-commit-candidates!
+  (fn
+    (db candidates new-delta)
+    (for-each
+      (fn
+        (lit)
+        (when
+          (dl-add-derived! db lit)
+          (let
+            ((rel (dl-rel-name lit)))
+            (do
+              (when
+                (not (has-key? new-delta rel))
+                (dict-set! new-delta rel (list)))
+              (append! (get new-delta rel) lit)))))
+      candidates)))
+
+(define
+  dl-saturate-rules!
+  (fn
+    (db rules)
+    (let
+      ((delta (dl-snapshot-facts db)))
+      (do
+        (define
+          dl-sr-step
+          (fn
+            ()
+            (let
+              ((pending (list)) (new-delta {}))
+              (do
+                (for-each
+                  (fn
+                    (rule)
+                    (for-each
+                      (fn (cand) (append! pending cand))
+                      (dl-collect-rule-candidates rule db delta)))
+                  rules)
+                (dl-commit-candidates! db pending new-delta)
+                (cond
+                  ((dl-delta-empty? new-delta) nil)
+                  (else (do (set! delta new-delta) (dl-sr-step))))))))
+        (dl-sr-step)
+        db))))
+
+;; Stratified driver: rejects non-stratifiable programs at saturation
+;; time, then iterates strata in increasing order, running semi-naive on
+;; the rules whose head sits in that stratum.
+(define
+  dl-saturate!
+  (fn
+    (db)
+    (let
+      ((err (dl-check-stratifiable db)))
+      (cond
+        ((not (nil? err)) (error (str "dl-saturate!: " err)))
+        (else
+          (let
+            ((strata (dl-compute-strata db)))
+            (let
+              ((grouped (dl-group-rules-by-stratum db strata)))
+              (let
+                ((groups (get grouped :groups))
+                  (max-s (get grouped :max)))
+                (do
+                  (define
+                    dl-strat-loop
+                    (fn
+                      (s)
+                      (when
+                        (<= s max-s)
+                        (let
+                          ((sk (str s)))
+                          (do
+                            (when
+                              (has-key? groups sk)
+                              (dl-saturate-rules! db (get groups sk)))
+                            (dl-strat-loop (+ s 1)))))))
+                  (dl-strat-loop 0)
+                  db)))))))))
+
+;; ── Querying ─────────────────────────────────────────────────────
+
+;; Coerce a query argument to a list of body literals. A single literal
+;; like `(p X)` (positive — head is a symbol) or `{:neg ...}` becomes
+;; `((p X))`. A list of literals like `((p X) (q X))` is returned as-is.
+(define
+  dl-query-coerce
+  (fn
+    (goal)
+    (cond
+      ((and (dict? goal) (has-key? goal :neg)) (list goal))
+      ((and (list? goal) (> (len goal) 0) (symbol? (first goal)))
+        (list goal))
+      ((list? goal) goal)
+      (else (error (str "dl-query: unrecognised goal shape: " goal))))))
+
+(define
+  dl-query
+  (fn
+    (db goal)
+    (do
+      (dl-saturate! db)
+      ;; Rename anonymous '_' vars in each goal literal so multiple
+      ;; occurrences do not unify together. Keep the user-facing var
+      ;; list (taken before renaming) so projected results retain user
+      ;; names.
+      (let
+        ((goals (dl-query-coerce goal))
+          ;; Start the renamer past any `_anon<N>` symbols the user
+          ;; may have written in the query — avoids collision.
+          (renamer
+            (dl-make-anon-renamer (dl-max-anon-num-list goal 0 0))))
+        (let
+          ((user-vars (dl-query-user-vars goals))
+            (renamed (map (fn (g) (dl-rename-anon-lit g renamer)) goals)))
+          (let
+            ((substs (dl-find-bindings renamed db (dl-empty-subst)))
+              (results (list)))
+            (do
+              (for-each
+                (fn
+                  (s)
+                  (let
+                    ((proj (dl-project-subst s user-vars)))
+                    (when
+                      (not (dl-tuple-member? proj results))
+                      (append! results proj))))
+                substs)
+              results)))))))
+
+(define
+  dl-query-user-vars
+  (fn
+    (goals)
+    (let ((seen (list)))
+      (do
+        (for-each
+          (fn
+            (g)
+            (cond
+              ((and (dict? g) (has-key? g :neg))
+                (for-each
+                  (fn
+                    (v)
+                    (when
+                      (and (not (= v "_")) (not (dl-member-string? v seen)))
+                      (append! seen v)))
+                  (dl-vars-of (get g :neg))))
+              ((dl-aggregate? g)
+                ;; Only the result var (first arg of the aggregate
+                ;; literal) is user-facing. The aggregated var and
+                ;; any vars in the inner goal are internal.
+                (let ((r (nth g 1)))
+                  (when
+                    (dl-var? r)
+                    (let ((rn (symbol->string r)))
+                      (when
+                        (and (not (= rn "_"))
+                             (not (dl-member-string? rn seen)))
+                        (append! seen rn))))))
+              (else
+                (for-each
+                  (fn
+                    (v)
+                    (when
+                      (and (not (= v "_")) (not (dl-member-string? v seen)))
+                      (append! seen v)))
+                  (dl-vars-of g)))))
+          goals)
+        seen))))
+
+(define
+  dl-project-subst
+  (fn
+    (subst names)
+    (let
+      ((out {}))
+      (do
+        (for-each
+          (fn
+            (n)
+            (let
+              ((sym (string->symbol n)))
+              (let
+                ((v (dl-walk sym subst)))
+                (dict-set! out n (dl-apply-subst v subst)))))
+          names)
+        out))))
+
+(define dl-relation (fn (db name) (dl-rel-tuples db name)))

lib/datalog/magic.sx

@@ -0,0 +1,464 @@
+;; lib/datalog/magic.sx — adornment analysis + sideways info passing.
+;;
+;; First step of the magic-sets transformation (Phase 6). Right now
+;; the saturator does not consume these — they are introspection
+;; helpers that future magic-set rewriting will build on top of.
+;;
+;; Definitions:
+;;   - An *adornment* of an n-ary literal is an n-character string
+;;     of "b" (bound — value already known at the call site) and
+;;     "f" (free — to be derived).
+;;   - SIPS (Sideways Information Passing Strategy) walks the body
+;;     of an adorned rule left-to-right tracking which variables
+;;     have been bound so far, computing each body literal's
+;;     adornment in turn.
+;;
+;; Usage:
+;;
+;;   (dl-adorn-goal '(ancestor tom X))
+;;     => "bf"
+;;
+;;   (dl-rule-sips
+;;     {:head (ancestor X Z)
+;;      :body ((parent X Y) (ancestor Y Z))}
+;;     "bf")
+;;   => ({:lit (parent X Y) :adornment "bf"}
+;;       {:lit (ancestor Y Z) :adornment "bf"})
+
+;; Per-arg adornment under the current bound-var name set.
+(define
+  dl-adorn-arg
+  (fn
+    (arg bound)
+    (cond
+      ((dl-var? arg)
+        (if (dl-member-string? (symbol->string arg) bound) "b" "f"))
+      (else "b"))))
+
+;; Adornment for the args of a literal (after the relation name).
+(define
+  dl-adorn-args
+  (fn
+    (args bound)
+    (cond
+      ((= (len args) 0) "")
+      (else
+        (str
+          (dl-adorn-arg (first args) bound)
+          (dl-adorn-args (rest args) bound))))))
+
+;; Adornment of a top-level goal under the empty bound-var set.
+(define
+  dl-adorn-goal
+  (fn (goal) (dl-adorn-args (rest goal) (list))))
+
+;; Adornment of a literal under an explicit bound set.
+(define
+  dl-adorn-lit
+  (fn (lit bound) (dl-adorn-args (rest lit) bound)))
+
+;; The set of variable names made bound by walking a positive
+;; literal whose adornment is known. Free positions add their
+;; vars to the bound set.
+(define
+  dl-vars-bound-by-lit
+  (fn
+    (lit bound)
+    (let ((args (rest lit)) (out (list)))
+      (do
+        (for-each
+          (fn (a)
+            (when
+              (and (dl-var? a)
+                   (not (dl-member-string? (symbol->string a) bound))
+                   (not (dl-member-string? (symbol->string a) out)))
+              (append! out (symbol->string a))))
+          args)
+        out))))
+
+;; Walk the rule body left-to-right tracking bound vars seeded by the
+;; head adornment. Returns a list of {:lit :adornment} entries.
+;;
+;; Negation, comparison, and built-ins are passed through with their
+;; adornment computed from the current bound set; they don't add new
+;; bindings (except `is`, which binds its left arg if a var). Aggregates
+;; are treated like is — the result var becomes bound.
+(define
+  dl-init-head-bound
+  (fn
+    (head adornment)
+    (let ((args (rest head)) (out (list)))
+      (do
+        (define
+          dl-ihb-loop
+          (fn
+            (i)
+            (when
+              (< i (len args))
+              (do
+                (let
+                  ((c (slice adornment i (+ i 1)))
+                    (a (nth args i)))
+                  (when
+                    (and (= c "b") (dl-var? a))
+                    (let ((n (symbol->string a)))
+                      (when
+                        (not (dl-member-string? n out))
+                        (append! out n)))))
+                (dl-ihb-loop (+ i 1))))))
+        (dl-ihb-loop 0)
+        out))))
+
+(define
+  dl-rule-sips
+  (fn
+    (rule head-adornment)
+    (let
+      ((bound (dl-init-head-bound (get rule :head) head-adornment))
+        (out (list)))
+      (do
+        (for-each
+          (fn
+            (lit)
+            (cond
+              ((and (dict? lit) (has-key? lit :neg))
+                (let ((target (get lit :neg)))
+                  (append!
+                    out
+                    {:lit lit :adornment (dl-adorn-lit target bound)})))
+              ((dl-builtin? lit)
+                (let ((adn (dl-adorn-lit lit bound)))
+                  (do
+                    (append! out {:lit lit :adornment adn})
+                    ;; `is` binds its left arg (if var) once RHS is ground.
+                    (when
+                      (and (= (dl-rel-name lit) "is") (dl-var? (nth lit 1)))
+                      (let ((n (symbol->string (nth lit 1))))
+                        (when
+                          (not (dl-member-string? n bound))
+                          (append! bound n)))))))
+              ((and (list? lit) (dl-aggregate? lit))
+                (let ((adn (dl-adorn-lit lit bound)))
+                  (do
+                    (append! out {:lit lit :adornment adn})
+                    ;; Result var (first arg) becomes bound.
+                    (when (dl-var? (nth lit 1))
+                      (let ((n (symbol->string (nth lit 1))))
+                        (when
+                          (not (dl-member-string? n bound))
+                          (append! bound n)))))))
+              ((and (list? lit) (> (len lit) 0))
+                (let ((adn (dl-adorn-lit lit bound)))
+                  (do
+                    (append! out {:lit lit :adornment adn})
+                    (for-each
+                      (fn (n)
+                        (when (not (dl-member-string? n bound))
+                          (append! bound n)))
+                      (dl-vars-bound-by-lit lit bound)))))))
+          (get rule :body))
+        out))))
+
+;; ── Magic predicate naming + bound-args extraction ─────────────
+;; These are building blocks for the magic-sets *transformation*
+;; itself. The transformation (which generates rewritten rules
+;; with magic_<rel>^<adornment> filters) is future work — for now
+;; these helpers can be used to inspect what such a transformation
+;; would produce.
+
+;; "magic_p^bf" given relation "p" and adornment "bf".
+(define
+  dl-magic-rel-name
+  (fn (rel adornment) (str "magic_" rel "^" adornment)))
+
+;; A magic predicate literal:
+;;   (magic_<rel>^<adornment> arg1 arg2 ...)
+(define
+  dl-magic-lit
+  (fn
+    (rel adornment bound-args)
+    (cons (string->symbol (dl-magic-rel-name rel adornment)) bound-args)))
+
+;; Extract bound args (those at "b" positions in `adornment`) from a
+;; literal `(rel arg1 arg2 ... argN)`. Returns the list of arg values.
+(define
+  dl-bound-args
+  (fn
+    (lit adornment)
+    (let ((args (rest lit)) (out (list)))
+      (do
+        (define
+          dl-ba-loop
+          (fn
+            (i)
+            (when
+              (< i (len args))
+              (do
+                (when
+                  (= (slice adornment i (+ i 1)) "b")
+                  (append! out (nth args i)))
+                (dl-ba-loop (+ i 1))))))
+        (dl-ba-loop 0)
+        out))))
+
+;; ── Magic-sets rewriter ─────────────────────────────────────────
+;;
+;; Given the original rule list and a query (rel, adornment) pair,
+;; generates the magic-rewritten program: a list of rules that
+;; (a) gate each original rule with a `magic_<rel>^<adn>` filter and
+;; (b) propagate the magic relation through SIPS so that only
+;; query-relevant tuples are derived. Seed facts are returned
+;; separately and must be added to the db at evaluation time.
+;;
+;; Output: {:rules <rewritten-rules> :seed <magic-seed-literal>}
+;;
+;; The rewriter only rewrites IDB rules; EDB facts pass through.
+;; Built-in predicates and negation in body literals are kept in
+;; place but do not generate propagation rules of their own.
+
+(define
+  dl-magic-pair-key
+  (fn (rel adornment) (str rel "^" adornment)))
+
+(define
+  dl-magic-rewrite
+  (fn
+    (rules query-rel query-adornment query-args)
+    (let
+      ((seen (list))
+        (queue (list))
+        (out (list)))
+      (do
+        (define
+          dl-mq-mark!
+          (fn
+            (rel adornment)
+            (let ((k (dl-magic-pair-key rel adornment)))
+              (when
+                (not (dl-member-string? k seen))
+                (do
+                  (append! seen k)
+                  (append! queue {:rel rel :adn adornment}))))))
+
+        (define
+          dl-mq-rewrite-rule!
+          (fn
+            (rule adn)
+            (let
+              ((head (get rule :head))
+                (body (get rule :body))
+                (sips (dl-rule-sips rule adn)))
+              (let
+                ((magic-filter
+                   (dl-magic-lit
+                     (dl-rel-name head)
+                     adn
+                     (dl-bound-args head adn))))
+                (do
+                  ;; Adorned rule: head :- magic-filter, body...
+                  (let ((new-body (list)))
+                    (do
+                      (append! new-body magic-filter)
+                      (for-each
+                        (fn (lit) (append! new-body lit))
+                        body)
+                      (append! out {:head head :body new-body})))
+                  ;; Propagation rules for each positive non-builtin
+                  ;; body literal at position i.
+                  (define
+                    dl-mq-prop-loop
+                    (fn
+                      (i)
+                      (when
+                        (< i (len body))
+                        (do
+                          (let
+                            ((lit (nth body i))
+                              (sip-entry (nth sips i)))
+                            (when
+                              (and (list? lit)
+                                   (> (len lit) 0)
+                                   (not (and (dict? lit) (has-key? lit :neg)))
+                                   (not (dl-builtin? lit))
+                                   (not (dl-aggregate? lit)))
+                              (let
+                                ((lit-adn (get sip-entry :adornment))
+                                  (lit-rel (dl-rel-name lit)))
+                                (let
+                                  ((prop-head
+                                     (dl-magic-lit
+                                       lit-rel
+                                       lit-adn
+                                       (dl-bound-args lit lit-adn))))
+                                  (let ((prop-body (list)))
+                                    (do
+                                      (append! prop-body magic-filter)
+                                      (define
+                                        dl-mq-prefix-loop
+                                        (fn
+                                          (j)
+                                          (when
+                                            (< j i)
+                                            (do
+                                              (append!
+                                                prop-body
+                                                (nth body j))
+                                              (dl-mq-prefix-loop (+ j 1))))))
+                                      (dl-mq-prefix-loop 0)
+                                      (append!
+                                        out
+                                        {:head prop-head :body prop-body})
+                                      (dl-mq-mark! lit-rel lit-adn)))))))
+                          (dl-mq-prop-loop (+ i 1))))))
+                  (dl-mq-prop-loop 0))))))
+
+        (dl-mq-mark! query-rel query-adornment)
+
+        (let ((idx 0))
+          (define
+            dl-mq-process
+            (fn
+              ()
+              (when
+                (< idx (len queue))
+                (let ((item (nth queue idx)))
+                  (do
+                    (set! idx (+ idx 1))
+                    (let
+                      ((rel (get item :rel)) (adn (get item :adn)))
+                      (for-each
+                        (fn
+                          (rule)
+                          (when
+                            (= (dl-rel-name (get rule :head)) rel)
+                            (dl-mq-rewrite-rule! rule adn)))
+                        rules))
+                    (dl-mq-process))))))
+          (dl-mq-process))
+
+        {:rules out
+         :seed
+         (dl-magic-lit
+           query-rel
+           query-adornment
+           query-args)}))))
+
+;; ── Top-level magic-sets driver ─────────────────────────────────
+;;
+;; (dl-magic-query db query-goal) — run `query-goal` under magic-sets
+;; evaluation. Builds a fresh internal db with:
+;;   - the caller's EDB facts (relations not headed by any rule),
+;;   - the magic seed fact, and
+;;   - the rewritten rules.
+;; Saturates and queries, returning the substitution list. The
+;; caller's db is untouched.
+;;
+;; Useful primarily as a perf alternative for queries that only
+;; need a small slice of a recursive relation. Equivalent to
+;; dl-query for any single fully-stratifiable program.
+
+(define
+  dl-magic-rule-heads
+  (fn
+    (rules)
+    (let ((seen (list)))
+      (do
+        (for-each
+          (fn
+            (r)
+            (let ((h (dl-rel-name (get r :head))))
+              (when
+                (and (not (nil? h)) (not (dl-member-string? h seen)))
+                (append! seen h))))
+          rules)
+        seen))))
+
+;; True iff any rule's body contains a literal kind that the magic
+;; rewriter doesn't propagate magic to — i.e. an aggregate or a
+;; negation. Used by dl-magic-query to decide whether to pre-saturate
+;; the source db (for correctness on stratified programs) or skip
+;; that step (preserving full magic-sets efficiency for pure
+;; positive programs).
+(define
+  dl-rule-has-nonprop-lit?
+  (fn
+    (body i n)
+    (cond
+      ((>= i n) false)
+      ((let ((lit (nth body i)))
+         (or (and (dict? lit) (has-key? lit :neg))
+             (dl-aggregate? lit)))
+        true)
+      (else (dl-rule-has-nonprop-lit? body (+ i 1) n)))))
+
+(define
+  dl-rules-need-presaturation?
+  (fn
+    (rules)
+    (cond
+      ((= (len rules) 0) false)
+      ((let ((body (get (first rules) :body)))
+         (dl-rule-has-nonprop-lit? body 0 (len body)))
+        true)
+      (else (dl-rules-need-presaturation? (rest rules))))))
+
+(define
+  dl-magic-query
+  (fn
+    (db query-goal)
+    ;; Magic-sets only applies to positive non-builtin / non-aggregate
+    ;; literals against rule-defined relations. For other goal shapes
+    ;; (built-ins, aggregates, EDB-only relations) the seed is either
+    ;; non-ground or unused; fall back to dl-query.
+    (cond
+      ((not (and (list? query-goal)
+                 (> (len query-goal) 0)
+                 (symbol? (first query-goal))))
+        (error (str "dl-magic-query: goal must be a positive literal "
+                    "(non-empty list with a symbol head), got " query-goal)))
+      ((or (dl-builtin? query-goal)
+           (dl-aggregate? query-goal)
+           (and (dict? query-goal) (has-key? query-goal :neg)))
+        (dl-query db query-goal))
+      (else
+        (do
+          ;; If the rule set has aggregates or negation, pre-saturate
+          ;; the source db before copying facts. The magic rewriter
+          ;; passes aggregate body lits and negated lits through
+          ;; unchanged (no magic propagation generated for them) — so
+          ;; if their inner-goal relation is IDB, it would be empty in
+          ;; the magic db. Pre-saturating ensures equivalence with
+          ;; `dl-query` for every stratified program. Pure positive
+          ;; programs skip this and keep the full magic-sets perf win
+          ;; from goal-directed re-derivation.
+          (when
+            (dl-rules-need-presaturation? (dl-rules db))
+            (dl-saturate! db))
+          (let
+            ((query-rel (dl-rel-name query-goal))
+              (query-adn (dl-adorn-goal query-goal)))
+            (let
+              ((query-args (dl-bound-args query-goal query-adn))
+                (rules (dl-rules db)))
+              (let
+                ((rewritten (dl-magic-rewrite rules query-rel query-adn query-args))
+                  (mdb (dl-make-db))
+                  (rule-heads (dl-magic-rule-heads rules)))
+            (do
+              ;; Copy ALL existing facts. EDB-only relations bring their
+              ;; tuples; mixed EDB+IDB relations bring both their EDB
+              ;; portion and any pre-saturated IDB tuples (which the
+              ;; rewritten rules would re-derive anyway). Skipping facts
+              ;; for rule-headed relations would leave the magic run
+              ;; without the EDB portion of mixed relations.
+              (for-each
+                (fn
+                  (rel)
+                  (for-each
+                    (fn (t) (dl-add-fact! mdb t))
+                    (dl-rel-tuples db rel)))
+                (keys (get db :facts)))
+              ;; Seed + rewritten rules.
+              (dl-add-fact! mdb (get rewritten :seed))
+              (for-each (fn (r) (dl-add-rule! mdb r)) (get rewritten :rules))
+              (dl-query mdb query-goal))))))))))

lib/datalog/parser.sx

@@ -0,0 +1,252 @@
+;; lib/datalog/parser.sx — Datalog tokens → AST
+;;
+;; Output shapes:
+;;   Literal (positive)  := (relname arg ... arg)        — SX list
+;;   Literal (negative)  := {:neg (relname arg ... arg)} — dict
+;;   Argument            := var-symbol | atom-symbol | number | string
+;;                        | (op-name arg ... arg)        — arithmetic compound
+;;   Fact                := {:head literal :body ()}
+;;   Rule                := {:head literal :body (lit ... lit)}
+;;   Query               := {:query (lit ... lit)}
+;;   Program             := list of facts / rules / queries
+;;
+;; Variables and constants are both SX symbols; the evaluator dispatches
+;; on first-char case ('A'..'Z' or '_' = variable, otherwise constant).
+;;
+;; The parser permits nested compounds in arg position to support
+;; arithmetic (e.g. (is Z (+ X Y))). Safety analysis at rule-load time
+;; rejects compounds whose head is not an arithmetic operator.
+
+(define
+  dl-pp-peek
+  (fn
+    (st)
+    (let
+      ((i (get st :idx)) (tokens (get st :tokens)))
+      (if (< i (len tokens)) (nth tokens i) {:type "eof" :value nil :pos 0}))))
+
+(define
+  dl-pp-peek2
+  (fn
+    (st)
+    (let
+      ((i (+ (get st :idx) 1)) (tokens (get st :tokens)))
+      (if (< i (len tokens)) (nth tokens i) {:type "eof" :value nil :pos 0}))))
+
+(define
+  dl-pp-advance!
+  (fn (st) (dict-set! st :idx (+ (get st :idx) 1))))
+
+(define
+  dl-pp-at?
+  (fn
+    (st type value)
+    (let
+      ((t (dl-pp-peek st)))
+      (and
+        (= (get t :type) type)
+        (or (= value nil) (= (get t :value) value))))))
+
+(define
+  dl-pp-error
+  (fn
+    (st msg)
+    (let
+      ((t (dl-pp-peek st)))
+      (error
+        (str
+          "Parse error at pos "
+          (get t :pos)
+          ": "
+          msg
+          " (got "
+          (get t :type)
+          " '"
+          (if (= (get t :value) nil) "" (get t :value))
+          "')")))))
+
+(define
+  dl-pp-expect!
+  (fn
+    (st type value)
+    (let
+      ((t (dl-pp-peek st)))
+      (if
+        (dl-pp-at? st type value)
+        (do (dl-pp-advance! st) t)
+        (dl-pp-error
+          st
+          (str "expected " type (if (= value nil) "" (str " '" value "'"))))))))
+
+;; Argument: variable, atom, number, string, or compound (relname/op + parens).
+(define
+  dl-pp-parse-arg
+  (fn
+    (st)
+    (let
+      ((t (dl-pp-peek st)))
+      (let
+        ((ty (get t :type)) (vv (get t :value)))
+        (cond
+          ((= ty "number") (do (dl-pp-advance! st) vv))
+          ((= ty "string") (do (dl-pp-advance! st) vv))
+          ((= ty "var") (do (dl-pp-advance! st) (string->symbol vv)))
+          ;; Negative numeric literal: `-` op directly followed by a
+          ;; number (no `(`) is parsed as a single negative number.
+          ;; This keeps `(-X Y)` (compound) and `-N` (literal) distinct.
+          ((and (= ty "op") (= vv "-")
+                (= (get (dl-pp-peek2 st) :type) "number"))
+            (do
+              (dl-pp-advance! st)
+              (let
+                ((n (get (dl-pp-peek st) :value)))
+                (do (dl-pp-advance! st) (- 0 n)))))
+          ((or (= ty "atom") (= ty "op"))
+            (do
+              (dl-pp-advance! st)
+              (if
+                (dl-pp-at? st "punct" "(")
+                (do
+                  (dl-pp-advance! st)
+                  (let
+                    ((args (dl-pp-parse-arg-list st)))
+                    (do
+                      (dl-pp-expect! st "punct" ")")
+                      (cons (string->symbol vv) args))))
+                (string->symbol vv))))
+          (else (dl-pp-error st "expected term")))))))
+
+;; Comma-separated args inside parens.
+(define
+  dl-pp-parse-arg-list
+  (fn
+    (st)
+    (let
+      ((args (list)))
+      (do
+        (append! args (dl-pp-parse-arg st))
+        (define
+          dl-pp-arg-loop
+          (fn
+            ()
+            (when
+              (dl-pp-at? st "punct" ",")
+              (do
+                (dl-pp-advance! st)
+                (append! args (dl-pp-parse-arg st))
+                (dl-pp-arg-loop)))))
+        (dl-pp-arg-loop)
+        args))))
+
+;; A positive literal: relname (atom or op) followed by optional (args).
+(define
+  dl-pp-parse-positive
+  (fn
+    (st)
+    (let
+      ((t (dl-pp-peek st)))
+      (let
+        ((ty (get t :type)) (vv (get t :value)))
+        (if
+          (or (= ty "atom") (= ty "op"))
+          (do
+            (dl-pp-advance! st)
+            (if
+              (dl-pp-at? st "punct" "(")
+              (do
+                (dl-pp-advance! st)
+                (let
+                  ((args (dl-pp-parse-arg-list st)))
+                  (do
+                    (dl-pp-expect! st "punct" ")")
+                    (cons (string->symbol vv) args))))
+              (list (string->symbol vv))))
+          (dl-pp-error st "expected literal head"))))))
+
+;; A body literal: positive, or not(positive).
+(define
+  dl-pp-parse-body-lit
+  (fn
+    (st)
+    (let
+      ((t1 (dl-pp-peek st)) (t2 (dl-pp-peek2 st)))
+      (if
+        (and
+          (= (get t1 :type) "atom")
+          (= (get t1 :value) "not")
+          (= (get t2 :type) "punct")
+          (= (get t2 :value) "("))
+        (do
+          (dl-pp-advance! st)
+          (dl-pp-advance! st)
+          (let
+            ((inner (dl-pp-parse-positive st)))
+            (do (dl-pp-expect! st "punct" ")") {:neg inner})))
+        (dl-pp-parse-positive st)))))
+
+;; Comma-separated body literals.
+(define
+  dl-pp-parse-body
+  (fn
+    (st)
+    (let
+      ((lits (list)))
+      (do
+        (append! lits (dl-pp-parse-body-lit st))
+        (define
+          dl-pp-body-loop
+          (fn
+            ()
+            (when
+              (dl-pp-at? st "punct" ",")
+              (do
+                (dl-pp-advance! st)
+                (append! lits (dl-pp-parse-body-lit st))
+                (dl-pp-body-loop)))))
+        (dl-pp-body-loop)
+        lits))))
+
+;; Single clause: fact, rule, or query. Consumes trailing dot.
+(define
+  dl-pp-parse-clause
+  (fn
+    (st)
+    (cond
+      ((dl-pp-at? st "op" "?-")
+        (do
+          (dl-pp-advance! st)
+          (let
+            ((body (dl-pp-parse-body st)))
+            (do (dl-pp-expect! st "punct" ".") {:query body}))))
+      (else
+        (let
+          ((head (dl-pp-parse-positive st)))
+          (cond
+            ((dl-pp-at? st "op" ":-")
+              (do
+                (dl-pp-advance! st)
+                (let
+                  ((body (dl-pp-parse-body st)))
+                  (do (dl-pp-expect! st "punct" ".") {:body body :head head}))))
+            (else (do (dl-pp-expect! st "punct" ".") {:body (list) :head head}))))))))
+
+(define
+  dl-parse-program
+  (fn
+    (tokens)
+    (let
+      ((st {:tokens tokens :idx 0}) (clauses (list)))
+      (do
+        (define
+          dl-pp-prog-loop
+          (fn
+            ()
+            (when
+              (not (dl-pp-at? st "eof" nil))
+              (do
+                (append! clauses (dl-pp-parse-clause st))
+                (dl-pp-prog-loop)))))
+        (dl-pp-prog-loop)
+        clauses))))
+
+(define dl-parse (fn (src) (dl-parse-program (dl-tokenize src))))

lib/datalog/scoreboard.json

@@ -0,0 +1,20 @@
+{
+  "lang": "datalog",
+  "total_passed": 276,
+  "total_failed": 0,
+  "total": 276,
+  "suites": [
+    {"name":"tokenize","passed":31,"failed":0,"total":31},
+    {"name":"parse","passed":23,"failed":0,"total":23},
+    {"name":"unify","passed":29,"failed":0,"total":29},
+    {"name":"eval","passed":44,"failed":0,"total":44},
+    {"name":"builtins","passed":26,"failed":0,"total":26},
+    {"name":"semi_naive","passed":8,"failed":0,"total":8},
+    {"name":"negation","passed":12,"failed":0,"total":12},
+    {"name":"aggregates","passed":23,"failed":0,"total":23},
+    {"name":"api","passed":22,"failed":0,"total":22},
+    {"name":"magic","passed":37,"failed":0,"total":37},
+    {"name":"demo","passed":21,"failed":0,"total":21}
+  ],
+  "generated": "2026-05-11T09:40:12+00:00"
+}

lib/datalog/scoreboard.md

@@ -0,0 +1,17 @@
+# datalog scoreboard
+
+**276 / 276 passing** (0 failure(s)).
+
+| Suite | Passed | Total | Status |
+|-------|--------|-------|--------|
+| tokenize | 31 | 31 | ok |
+| parse | 23 | 23 | ok |
+| unify | 29 | 29 | ok |
+| eval | 44 | 44 | ok |
+| builtins | 26 | 26 | ok |
+| semi_naive | 8 | 8 | ok |
+| negation | 12 | 12 | ok |
+| aggregates | 23 | 23 | ok |
+| api | 22 | 22 | ok |
+| magic | 37 | 37 | ok |
+| demo | 21 | 21 | ok |

lib/datalog/strata.sx

@@ -0,0 +1,323 @@
+;; lib/datalog/strata.sx — dependency graph, SCC analysis, stratum assignment.
+;;
+;; A program is stratifiable iff no cycle in its dependency graph passes
+;; through a negative edge. The stratum of relation R is the depth at which
+;; R can first be evaluated:
+;;
+;;   stratum(R) = max over edges (R → S) of:
+;;       stratum(S)         if the edge is positive
+;;       stratum(S) + 1     if the edge is negative
+;;
+;; All relations in the same SCC share a stratum (and the SCC must have only
+;; positive internal edges, else the program is non-stratifiable).
+
+;; Build dep graph: dict {head-rel-name -> ({:rel str :neg bool} ...)}.
+(define
+  dl-build-dep-graph
+  (fn
+    (db)
+    (let ((g {}))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (let
+              ((head-rel (dl-rel-name (get rule :head))))
+              (when
+                (not (nil? head-rel))
+                (do
+                  (when
+                    (not (has-key? g head-rel))
+                    (dict-set! g head-rel (list)))
+                  (let ((existing (get g head-rel)))
+                    (for-each
+                      (fn
+                        (lit)
+                        (cond
+                          ((dl-aggregate? lit)
+                            (let
+                              ((edge (dl-aggregate-dep-edge lit)))
+                              (when
+                                (not (nil? edge))
+                                (append! existing edge))))
+                          (else
+                            (let
+                              ((target
+                                 (cond
+                                   ((and (dict? lit) (has-key? lit :neg))
+                                     (dl-rel-name (get lit :neg)))
+                                   ((dl-builtin? lit) nil)
+                                   ((and (list? lit) (> (len lit) 0))
+                                     (dl-rel-name lit))
+                                   (else nil)))
+                                (neg?
+                                  (and (dict? lit) (has-key? lit :neg))))
+                              (when
+                                (not (nil? target))
+                                (append!
+                                  existing
+                                  {:rel target :neg neg?}))))))
+                      (get rule :body)))))))
+          (dl-rules db))
+        g))))
+
+;; All relations referenced — heads of rules + EDB names + body relations.
+(define
+  dl-all-relations
+  (fn
+    (db)
+    (let ((seen (list)))
+      (do
+        (for-each
+          (fn
+            (k)
+            (when (not (dl-member-string? k seen)) (append! seen k)))
+          (keys (get db :facts)))
+        (for-each
+          (fn
+            (rule)
+            (do
+              (let ((h (dl-rel-name (get rule :head))))
+                (when
+                  (and (not (nil? h)) (not (dl-member-string? h seen)))
+                  (append! seen h)))
+              (for-each
+                (fn
+                  (lit)
+                  (let
+                    ((t
+                       (cond
+                         ((dl-aggregate? lit)
+                           (let ((edge (dl-aggregate-dep-edge lit)))
+                             (if (nil? edge) nil (get edge :rel))))
+                         ((and (dict? lit) (has-key? lit :neg))
+                           (dl-rel-name (get lit :neg)))
+                         ((dl-builtin? lit) nil)
+                         ((and (list? lit) (> (len lit) 0))
+                           (dl-rel-name lit))
+                         (else nil))))
+                    (when
+                      (and (not (nil? t)) (not (dl-member-string? t seen)))
+                      (append! seen t))))
+                (get rule :body))))
+          (dl-rules db))
+        seen))))
+
+;; reach: dict {from: dict {to: edge-info}} where edge-info is
+;;   {:any bool :neg bool}
+;; meaning "any path from `from` to `to`" and "exists a negative-passing
+;; path from `from` to `to`".
+;;
+;; Floyd-Warshall over the dep graph. The 'neg' flag propagates through
+;; concatenation: if any edge along the path is negative, the path's
+;; flag is true.
+(define
+  dl-build-reach
+  (fn
+    (graph nodes)
+    (let ((reach {}))
+      (do
+        (for-each
+          (fn (n) (dict-set! reach n {}))
+          nodes)
+        (for-each
+          (fn
+            (head)
+            (when
+              (has-key? graph head)
+              (for-each
+                (fn
+                  (edge)
+                  (let
+                    ((target (get edge :rel)) (n (get edge :neg)))
+                    (let ((row (get reach head)))
+                      (cond
+                        ((has-key? row target)
+                          (let ((cur (get row target)))
+                            (dict-set!
+                              row
+                              target
+                              {:any true :neg (or n (get cur :neg))})))
+                        (else
+                          (dict-set! row target {:any true :neg n}))))))
+                (get graph head))))
+          nodes)
+        (for-each
+          (fn
+            (k)
+            (for-each
+              (fn
+                (i)
+                (let ((row-i (get reach i)))
+                  (when
+                    (has-key? row-i k)
+                    (let ((ik (get row-i k)) (row-k (get reach k)))
+                      (for-each
+                        (fn
+                          (j)
+                          (when
+                            (has-key? row-k j)
+                            (let ((kj (get row-k j)))
+                              (let
+                                ((combined-neg (or (get ik :neg) (get kj :neg))))
+                                (cond
+                                  ((has-key? row-i j)
+                                    (let ((cur (get row-i j)))
+                                      (dict-set!
+                                        row-i
+                                        j
+                                        {:any true
+                                         :neg (or combined-neg (get cur :neg))})))
+                                  (else
+                                    (dict-set!
+                                      row-i
+                                      j
+                                      {:any true :neg combined-neg})))))))
+                        nodes)))))
+              nodes))
+          nodes)
+        reach))))
+
+;; Returns nil on success, or error message string on failure.
+(define
+  dl-check-stratifiable
+  (fn
+    (db)
+    (let
+      ((graph (dl-build-dep-graph db))
+        (nodes (dl-all-relations db)))
+      (let ((reach (dl-build-reach graph nodes)) (err nil))
+        (do
+          (for-each
+            (fn
+              (rule)
+              (when
+                (nil? err)
+                (let ((head-rel (dl-rel-name (get rule :head))))
+                  (for-each
+                    (fn
+                      (lit)
+                      (cond
+                        ((and (dict? lit) (has-key? lit :neg))
+                          (let ((tgt (dl-rel-name (get lit :neg))))
+                            (when
+                              (and (not (nil? tgt))
+                                   (dl-reach-cycle? reach head-rel tgt))
+                              (set!
+                                err
+                                (str "non-stratifiable: relation " head-rel
+                                     " transitively depends through negation on "
+                                     tgt
+                                     " which depends back on " head-rel)))))
+                        ((dl-aggregate? lit)
+                          (let ((edge (dl-aggregate-dep-edge lit)))
+                            (when
+                              (not (nil? edge))
+                              (let ((tgt (get edge :rel)))
+                                (when
+                                  (and (not (nil? tgt))
+                                       (dl-reach-cycle? reach head-rel tgt))
+                                  (set!
+                                    err
+                                    (str "non-stratifiable: relation "
+                                         head-rel
+                                         " aggregates over " tgt
+                                         " which depends back on "
+                                         head-rel))))))))) 
+                    (get rule :body)))))
+            (dl-rules db))
+          err)))))
+
+(define
+  dl-reach-cycle?
+  (fn
+    (reach a b)
+    (and
+      (dl-reach-row-has? reach b a)
+      (dl-reach-row-has? reach a b))))
+
+(define
+  dl-reach-row-has?
+  (fn
+    (reach from to)
+    (let ((row (get reach from)))
+      (and (not (nil? row)) (has-key? row to)))))
+
+;; Compute stratum per relation. Iteratively propagate from EDB roots.
+;; Uses the per-relation max-stratum-of-deps formula. Stops when stable.
+(define
+  dl-compute-strata
+  (fn
+    (db)
+    (let
+      ((graph (dl-build-dep-graph db))
+        (nodes (dl-all-relations db))
+        (strata {}))
+      (do
+        (for-each (fn (n) (dict-set! strata n 0)) nodes)
+        (let ((changed true))
+          (do
+            (define
+              dl-cs-loop
+              (fn
+                ()
+                (when
+                  changed
+                  (do
+                    (set! changed false)
+                    (for-each
+                      (fn
+                        (head)
+                        (when
+                          (has-key? graph head)
+                          (for-each
+                            (fn
+                              (edge)
+                              (let
+                                ((tgt (get edge :rel))
+                                  (n (get edge :neg)))
+                                (let
+                                  ((tgt-strat
+                                     (if (has-key? strata tgt)
+                                       (get strata tgt) 0))
+                                    (cur (get strata head)))
+                                  (let
+                                    ((needed
+                                       (if n (+ tgt-strat 1) tgt-strat)))
+                                    (when
+                                      (> needed cur)
+                                      (do
+                                        (dict-set! strata head needed)
+                                        (set! changed true)))))))
+                            (get graph head))))
+                      nodes)
+                    (dl-cs-loop)))))
+            (dl-cs-loop)))
+        strata))))
+
+;; Group rules by their head's stratum. Returns dict {stratum-int -> rules}.
+(define
+  dl-group-rules-by-stratum
+  (fn
+    (db strata)
+    (let ((groups {}) (max-s 0))
+      (do
+        (for-each
+          (fn
+            (rule)
+            (let
+              ((head-rel (dl-rel-name (get rule :head))))
+              (let
+                ((s (if (has-key? strata head-rel)
+                       (get strata head-rel) 0)))
+                (do
+                  (when (> s max-s) (set! max-s s))
+                  (let
+                    ((sk (str s)))
+                    (do
+                      (when
+                        (not (has-key? groups sk))
+                        (dict-set! groups sk (list)))
+                      (append! (get groups sk) rule)))))))
+          (dl-rules db))
+        {:groups groups :max max-s}))))

lib/datalog/tests/aggregates.sx

@@ -0,0 +1,357 @@
+;; lib/datalog/tests/aggregates.sx — count / sum / min / max.
+
+(define dl-at-pass 0)
+(define dl-at-fail 0)
+(define dl-at-failures (list))
+
+(define
+  dl-at-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-at-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-at-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-at-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-at-deep=? (nth a i) (nth b i))) false)
+      (else (dl-at-deq-l? a b (+ i 1))))))
+
+(define
+  dl-at-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i)))
+         (not (dl-at-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-at-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-at-set=?
+  (fn
+    (a b)
+    (and
+      (= (len a) (len b))
+      (dl-at-subset? a b)
+      (dl-at-subset? b a))))
+
+(define
+  dl-at-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-at-contains? ys (first xs))) false)
+      (else (dl-at-subset? (rest xs) ys)))))
+
+(define
+  dl-at-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-at-deep=? (first xs) target) true)
+      (else (dl-at-contains? (rest xs) target)))))
+
+(define
+  dl-at-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-at-deep=? got expected)
+      (set! dl-at-pass (+ dl-at-pass 1))
+      (do
+        (set! dl-at-fail (+ dl-at-fail 1))
+        (append!
+          dl-at-failures
+          (str
+            name
+            "\n    expected: " expected
+            "\n    got:      " got))))))
+
+(define
+  dl-at-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-at-set=? got expected)
+      (set! dl-at-pass (+ dl-at-pass 1))
+      (do
+        (set! dl-at-fail (+ dl-at-fail 1))
+        (append!
+          dl-at-failures
+          (str
+            name
+            "\n    expected (set): " expected
+            "\n    got:            " got))))))
+
+(define
+  dl-at-throws?
+  (fn
+    (thunk)
+    (let
+      ((threw false))
+      (do
+        (guard
+          (e (#t (set! threw true)))
+          (thunk))
+        threw))))
+
+(define
+  dl-at-run-all!
+  (fn
+    ()
+    (do
+      ;; count
+      (dl-at-test-set! "count siblings"
+        (dl-query
+          (dl-program
+            "parent(p, bob). parent(p, alice). parent(p, charlie).
+             sibling(X, Y) :- parent(P, X), parent(P, Y), !=(X, Y).
+             sib_count(N) :- count(N, S, sibling(bob, S)).")
+          (list (quote sib_count) (quote N)))
+        (list {:N 2}))
+
+      ;; sum
+      (dl-at-test-set! "sum prices"
+        (dl-query
+          (dl-program
+            "price(apple, 5). price(pear, 7). price(plum, 3).
+             total(T) :- sum(T, X, price(F, X)).")
+          (list (quote total) (quote T)))
+        (list {:T 15}))
+
+      ;; min
+      (dl-at-test-set! "min score"
+        (dl-query
+          (dl-program
+            "score(alice, 80). score(bob, 65). score(carol, 92).
+             lo(M) :- min(M, S, score(P, S)).")
+          (list (quote lo) (quote M)))
+        (list {:M 65}))
+
+      ;; max
+      (dl-at-test-set! "max score"
+        (dl-query
+          (dl-program
+            "score(alice, 80). score(bob, 65). score(carol, 92).
+             hi(M) :- max(M, S, score(P, S)).")
+          (list (quote hi) (quote M)))
+        (list {:M 92}))
+
+      ;; count over derived relation (stratification needed).
+      (dl-at-test-set! "count over derived"
+        (dl-query
+          (dl-program
+            "parent(a, b). parent(a, c). parent(b, d). parent(c, e).
+             ancestor(X, Y) :- parent(X, Y).
+             ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).
+             num_ancestors(N) :- count(N, X, ancestor(a, X)).")
+          (list (quote num_ancestors) (quote N)))
+        (list {:N 4}))
+
+      ;; count with no matches → 0.
+      (dl-at-test-set! "count empty"
+        (dl-query
+          (dl-program
+            "p(1). p(2).
+             zero(N) :- count(N, X, q(X)).")
+          (list (quote zero) (quote N)))
+        (list {:N 0}))
+
+      ;; sum with no matches → 0.
+      (dl-at-test-set! "sum empty"
+        (dl-query
+          (dl-program
+            "p(1). p(2).
+             total(T) :- sum(T, X, q(X)).")
+          (list (quote total) (quote T)))
+        (list {:T 0}))
+
+      ;; min with no matches → rule does not fire.
+      (dl-at-test-set! "min empty"
+        (dl-query
+          (dl-program
+            "p(1). p(2).
+             lo(M) :- min(M, X, q(X)).")
+          (list (quote lo) (quote M)))
+        (list))
+
+      ;; Aggregate with comparison filter on result.
+      (dl-at-test-set! "popularity threshold"
+        (dl-query
+          (dl-program
+            "post(p1). post(p2).
+             liked(u1, p1). liked(u2, p1). liked(u3, p1).
+             liked(u1, p2). liked(u2, p2).
+             popular(P) :- post(P), count(N, U, liked(U, P)), >=(N, 3).")
+          (list (quote popular) (quote P)))
+        (list {:P (quote p1)}))
+
+      ;; findall: collect distinct values into a list.
+      (dl-at-test-set! "findall over EDB"
+        (dl-query
+          (dl-program
+            "p(a). p(b). p(c).
+             all_p(L) :- findall(L, X, p(X)).")
+          (list (quote all_p) (quote L)))
+        (list {:L (list (quote a) (quote b) (quote c))}))
+
+      (dl-at-test-set! "findall over derived"
+        (dl-query
+          (dl-program
+            "parent(a, b). parent(b, c). parent(c, d).
+             ancestor(X, Y) :- parent(X, Y).
+             ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).
+             desc(L) :- findall(L, X, ancestor(a, X)).")
+          (list (quote desc) (quote L)))
+        (list {:L (list (quote b) (quote c) (quote d))}))
+
+      (dl-at-test-set! "findall empty"
+        (dl-query
+          (dl-program
+            "p(1).
+             all_q(L) :- findall(L, X, q(X)).")
+          (list (quote all_q) (quote L)))
+        (list {:L (list)}))
+
+      ;; Aggregate vs single distinct.
+      ;; Group-by via aggregate-in-rule-body. Per-user friend count
+      ;; over a friends relation. The U var is bound by the prior
+      ;; positive lit u(U) so the aggregate counts only U-rooted
+      ;; friends per group.
+      (dl-at-test-set! "group-by per-user friend count"
+        (dl-query
+          (dl-program
+            "u(alice). u(bob). u(carol).
+             f(alice, x). f(alice, y). f(bob, x).
+             counts(U, N) :- u(U), count(N, X, f(U, X)).")
+          (list (quote counts) (quote U) (quote N)))
+        (list
+          {:U (quote alice) :N 2}
+          {:U (quote bob) :N 1}
+          {:U (quote carol) :N 0}))
+
+      ;; Stratification: recursion through aggregation is rejected.
+      ;; Aggregate validates that second arg is a variable.
+      (dl-at-test! "agg second arg must be var"
+        (dl-at-throws?
+          (fn () (dl-eval "p(1). q(N) :- count(N, 5, p(X))." "?- q(N).")))
+        true)
+
+      ;; Aggregate validates that third arg is a positive literal.
+      (dl-at-test! "agg third arg must be a literal"
+        (dl-at-throws?
+          (fn () (dl-eval "p(1). q(N) :- count(N, X, 42)." "?- q(N).")))
+        true)
+
+      ;; Aggregate validates that the agg-var (2nd arg) appears in the
+      ;; goal. Without it every match contributes the same unbound
+      ;; symbol — count silently returns 1, sum raises a confusing
+      ;; "expected number" error, etc. Catch the mistake at safety
+      ;; check time instead.
+      (dl-at-test! "agg-var must appear in goal"
+        (dl-at-throws?
+          (fn ()
+            (dl-eval
+              "p(1). p(2). c(N) :- count(N, Y, p(X))."
+              "?- c(N).")))
+        true)
+
+      ;; Indirect recursion through aggregation also rejected.
+      ;; q -> r (via positive lit), r -> q (via aggregate body).
+      ;; The aggregate edge counts as negation for stratification.
+      (dl-at-test! "indirect agg cycle rejected"
+        (dl-at-throws?
+          (fn ()
+            (let ((db (dl-make-db)))
+              (do
+                (dl-add-rule! db
+                  {:head (list (quote q) (quote N))
+                   :body (list (list (quote r) (quote N)))})
+                (dl-add-rule! db
+                  {:head (list (quote r) (quote N))
+                   :body (list (list (quote count) (quote N) (quote X)
+                                     (list (quote q) (quote X))))})
+                (dl-saturate! db)))))
+        true)
+
+      (dl-at-test! "agg recursion rejected"
+        (dl-at-throws?
+          (fn ()
+            (let ((db (dl-make-db)))
+              (do
+                (dl-add-rule! db
+                  {:head (list (quote q) (quote N))
+                   :body (list (list (quote count) (quote N) (quote X)
+                                     (list (quote q) (quote X))))})
+                (dl-saturate! db)))))
+        true)
+
+      ;; Negation + aggregation in the same body — different strata.
+      (dl-at-test-set! "neg + agg coexist"
+        (dl-query
+          (dl-program
+            "u(a). u(b). u(c). banned(b).
+             active(X) :- u(X), not(banned(X)).
+             cnt(N) :- count(N, X, active(X)).")
+          (list (quote cnt) (quote N)))
+        (list {:N 2}))
+
+      ;; Min over a derived empty relation: no result.
+      (dl-at-test-set! "min over empty derived"
+        (dl-query
+          (dl-program
+            "s(50). s(60).
+             score(N) :- s(N), >(N, 100).
+             low(M) :- min(M, X, score(X)).")
+          (list (quote low) (quote M)))
+        (list))
+
+      ;; Aggregates as the top-level query goal (regression for
+      ;; dl-match-lit aggregate dispatch and projection cleanup).
+      (dl-at-test-set! "count as query goal"
+        (dl-query
+          (dl-program "p(1). p(2). p(3). p(4).")
+          (list (quote count) (quote N) (quote X) (list (quote p) (quote X))))
+        (list {:N 4}))
+
+      (dl-at-test-set! "findall as query goal"
+        (dl-query
+          (dl-program "p(1). p(2). p(3).")
+          (list (quote findall) (quote L) (quote X)
+                (list (quote p) (quote X))))
+        (list {:L (list 1 2 3)}))
+
+      (dl-at-test-set! "distinct counted once"
+        (dl-query
+          (dl-program
+            "rated(alice, x). rated(alice, y). rated(bob, x).
+             rater_count(N) :- count(N, U, rated(U, F)).")
+          (list (quote rater_count) (quote N)))
+        (list {:N 2})))))
+
+(define
+  dl-aggregates-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-at-pass 0)
+      (set! dl-at-fail 0)
+      (set! dl-at-failures (list))
+      (dl-at-run-all!)
+      {:passed dl-at-pass
+       :failed dl-at-fail
+       :total (+ dl-at-pass dl-at-fail)
+       :failures dl-at-failures})))

lib/datalog/tests/api.sx

@@ -0,0 +1,350 @@
+;; lib/datalog/tests/api.sx — SX-data embedding API.
+
+(define dl-api-pass 0)
+(define dl-api-fail 0)
+(define dl-api-failures (list))
+
+(define
+  dl-api-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-api-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-api-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-api-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-api-deep=? (nth a i) (nth b i))) false)
+      (else (dl-api-deq-l? a b (+ i 1))))))
+
+(define
+  dl-api-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i)))
+         (not (dl-api-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-api-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-api-set=?
+  (fn
+    (a b)
+    (and
+      (= (len a) (len b))
+      (dl-api-subset? a b)
+      (dl-api-subset? b a))))
+
+(define
+  dl-api-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-api-contains? ys (first xs))) false)
+      (else (dl-api-subset? (rest xs) ys)))))
+
+(define
+  dl-api-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-api-deep=? (first xs) target) true)
+      (else (dl-api-contains? (rest xs) target)))))
+
+(define
+  dl-api-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-api-deep=? got expected)
+      (set! dl-api-pass (+ dl-api-pass 1))
+      (do
+        (set! dl-api-fail (+ dl-api-fail 1))
+        (append!
+          dl-api-failures
+          (str
+            name
+            "\n    expected: " expected
+            "\n    got:      " got))))))
+
+(define
+  dl-api-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-api-set=? got expected)
+      (set! dl-api-pass (+ dl-api-pass 1))
+      (do
+        (set! dl-api-fail (+ dl-api-fail 1))
+        (append!
+          dl-api-failures
+          (str
+            name
+            "\n    expected (set): " expected
+            "\n    got:            " got))))))
+
+(define
+  dl-api-run-all!
+  (fn
+    ()
+    (do
+      ;; dl-program-data with arrow form.
+      (dl-api-test-set! "data API ancestor closure"
+        (dl-query
+          (dl-program-data
+            (quote ((parent tom bob) (parent bob ann) (parent ann pat)))
+            (quote
+              ((ancestor X Y <- (parent X Y))
+               (ancestor X Z <- (parent X Y) (ancestor Y Z)))))
+          (quote (ancestor tom X)))
+        (list {:X (quote bob)} {:X (quote ann)} {:X (quote pat)}))
+
+      ;; dl-program-data with dict rules.
+      (dl-api-test-set! "data API with dict rules"
+        (dl-query
+          (dl-program-data
+            (quote ((p a) (p b) (p c)))
+            (list
+              {:head (quote (q X)) :body (quote ((p X)))}))
+          (quote (q X)))
+        (list {:X (quote a)} {:X (quote b)} {:X (quote c)}))
+
+      ;; dl-rule helper.
+      (dl-api-test-set! "dl-rule constructor"
+        (dl-query
+          (dl-program-data
+            (quote ((p 1) (p 2)))
+            (list (dl-rule (quote (q X)) (quote ((p X))))))
+          (quote (q X)))
+        (list {:X 1} {:X 2}))
+
+      ;; dl-assert! adds and re-derives.
+      (dl-api-test-set! "dl-assert! incremental"
+        (let
+          ((db (dl-program-data
+                 (quote ((parent tom bob) (parent bob ann)))
+                 (quote
+                   ((ancestor X Y <- (parent X Y))
+                    (ancestor X Z <- (parent X Y) (ancestor Y Z)))))))
+          (do
+            (dl-saturate! db)
+            (dl-assert! db (quote (parent ann pat)))
+            (dl-query db (quote (ancestor tom X)))))
+        (list {:X (quote bob)} {:X (quote ann)} {:X (quote pat)}))
+
+      ;; dl-retract! removes a fact and recomputes IDB.
+      (dl-api-test-set! "dl-retract! removes derived"
+        (let
+          ((db (dl-program-data
+                 (quote ((parent tom bob) (parent bob ann) (parent ann pat)))
+                 (quote
+                   ((ancestor X Y <- (parent X Y))
+                    (ancestor X Z <- (parent X Y) (ancestor Y Z)))))))
+          (do
+            (dl-saturate! db)
+            (dl-retract! db (quote (parent bob ann)))
+            (dl-query db (quote (ancestor tom X)))))
+        (list {:X (quote bob)}))
+
+      ;; dl-retract! on a relation with BOTH explicit facts AND a rule
+      ;; (a "mixed" relation) used to wipe the EDB portion when the IDB
+      ;; was re-derived, even when the retract didn't match anything.
+      ;; :edb-keys provenance now preserves user-asserted facts.
+      (dl-api-test-set! "dl-retract! preserves EDB in mixed relation"
+        (let
+          ((db (dl-program-data
+                 (quote ((p a) (p b) (q c)))
+                 (quote ((p X <- (q X)))))))
+          (do
+            (dl-saturate! db)
+            ;; Retract a non-existent tuple — should be a no-op.
+            (dl-retract! db (quote (p z)))
+            (dl-query db (quote (p X)))))
+        (list {:X (quote a)} {:X (quote b)} {:X (quote c)}))
+
+      ;; And retracting an actual EDB fact in a mixed relation drops
+      ;; only that fact; the derived portion stays.
+      (dl-api-test-set! "dl-retract! mixed: drop EDB, keep IDB"
+        (let
+          ((db (dl-program-data
+                 (quote ((p a) (p b) (q c)))
+                 (quote ((p X <- (q X)))))))
+          (do
+            (dl-saturate! db)
+            (dl-retract! db (quote (p a)))
+            (dl-query db (quote (p X)))))
+        (list {:X (quote b)} {:X (quote c)}))
+
+      ;; dl-program-data + dl-query with constants in head.
+      (dl-api-test-set! "constant-in-head data"
+        (dl-query
+          (dl-program-data
+            (quote ((edge a b) (edge b c) (edge c a)))
+            (quote
+              ((reach X Y <- (edge X Y))
+               (reach X Z <- (edge X Y) (reach Y Z)))))
+          (quote (reach a X)))
+        (list {:X (quote a)} {:X (quote b)} {:X (quote c)}))
+
+      ;; Assert into empty db.
+      (dl-api-test-set! "assert into empty"
+        (let
+          ((db (dl-program-data (list) (list))))
+          (do
+            (dl-assert! db (quote (p 1)))
+            (dl-assert! db (quote (p 2)))
+            (dl-query db (quote (p X)))))
+        (list {:X 1} {:X 2}))
+
+      ;; Multi-goal query: pass list of literals.
+      (dl-api-test-set! "multi-goal query"
+        (dl-query
+          (dl-program-data
+            (quote ((p 1) (p 2) (p 3) (q 2) (q 3)))
+            (list))
+          (list (quote (p X)) (quote (q X))))
+        (list {:X 2} {:X 3}))
+
+      ;; Multi-goal with comparison.
+      (dl-api-test-set! "multi-goal with comparison"
+        (dl-query
+          (dl-program-data
+            (quote ((n 1) (n 2) (n 3) (n 4) (n 5)))
+            (list))
+          (list (quote (n X)) (list (string->symbol ">") (quote X) 2)))
+        (list {:X 3} {:X 4} {:X 5}))
+
+      ;; dl-eval: single-call source + query.
+      (dl-api-test-set! "dl-eval ancestor"
+        (dl-eval
+          "parent(a, b). parent(b, c).
+           ancestor(X, Y) :- parent(X, Y).
+           ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z)."
+          "?- ancestor(a, X).")
+        (list {:X (quote b)} {:X (quote c)}))
+
+      (dl-api-test-set! "dl-eval multi-goal"
+        (dl-eval
+          "p(1). p(2). p(3). q(2). q(3)."
+          "?- p(X), q(X).")
+        (list {:X 2} {:X 3}))
+
+      ;; dl-rules-of: rules with head matching a relation name.
+      (dl-api-test! "dl-rules-of count"
+        (let
+          ((db (dl-program
+                 "p(1). q(X) :- p(X). r(X) :- p(X). q(2).")))
+          (len (dl-rules-of db "q")))
+        1)
+
+      (dl-api-test! "dl-rules-of empty"
+        (let
+          ((db (dl-program "p(1). p(2).")))
+          (len (dl-rules-of db "q")))
+        0)
+
+      ;; dl-clear-idb!: wipe rule-headed relations.
+      (dl-api-test! "dl-clear-idb! wipes IDB"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (do
+            (dl-saturate! db)
+            (dl-clear-idb! db)
+            (len (dl-relation db "ancestor"))))
+        0)
+
+      (dl-api-test! "dl-clear-idb! preserves EDB"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c).
+                  ancestor(X, Y) :- parent(X, Y).")))
+          (do
+            (dl-saturate! db)
+            (dl-clear-idb! db)
+            (len (dl-relation db "parent"))))
+        2)
+
+      ;; dl-eval-magic — routes single-goal queries through
+      ;; magic-sets evaluation.
+      (dl-api-test-set! "dl-eval-magic ancestor"
+        (dl-eval-magic
+          "parent(a, b). parent(b, c).
+           ancestor(X, Y) :- parent(X, Y).
+           ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z)."
+          "?- ancestor(a, X).")
+        (list {:X (quote b)} {:X (quote c)}))
+
+      ;; Equivalence: dl-eval and dl-eval-magic produce the same
+      ;; answers for any well-formed query (magic-sets is a perf
+      ;; alternative, not a semantic change).
+      (dl-api-test! "dl-eval ≡ dl-eval-magic on ancestor"
+        (let
+          ((source "parent(a, b). parent(b, c). parent(c, d).
+                    ancestor(X, Y) :- parent(X, Y).
+                    ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z)."))
+          (let
+            ((semi (dl-eval source "?- ancestor(a, X)."))
+              (magic (dl-eval-magic source "?- ancestor(a, X).")))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Comprehensive integration: recursion + stratified negation
+      ;; + aggregation + comparison composed in a single program.
+      ;; (Uses _Anything as a regular var instead of `_` so the
+      ;;  outer rule binds via the reach lit.)
+      (dl-api-test-set! "integration"
+        (dl-eval
+          (str
+            "edge(a, b). edge(b, c). edge(c, d). edge(a, d). "
+            "banned(c). "
+            "reach(X, Y) :- edge(X, Y). "
+            "reach(X, Z) :- edge(X, Y), reach(Y, Z). "
+            "safe(X, Y) :- reach(X, Y), not(banned(Y)). "
+            "reach_count(X, N) :- reach(X, Z), count(N, Y, safe(X, Y)). "
+            "popular(X) :- reach_count(X, N), >=(N, 2).")
+          "?- popular(X).")
+        (list {:X (quote a)}))
+
+      ;; dl-rule-from-list with no arrow → fact-style.
+      (dl-api-test-set! "no arrow → fact-like rule"
+        (let
+          ((rule (dl-rule-from-list (quote (foo X Y)))))
+          (list rule))
+        (list {:head (quote (foo X Y)) :body (list)}))
+
+      ;; dl-coerce-rule on dict passes through.
+      (dl-api-test-set! "coerce dict rule"
+        (let
+          ((d {:head (quote (h X)) :body (quote ((b X)))}))
+          (list (dl-coerce-rule d)))
+        (list {:head (quote (h X)) :body (quote ((b X)))})))))
+
+(define
+  dl-api-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-api-pass 0)
+      (set! dl-api-fail 0)
+      (set! dl-api-failures (list))
+      (dl-api-run-all!)
+      {:passed dl-api-pass
+       :failed dl-api-fail
+       :total (+ dl-api-pass dl-api-fail)
+       :failures dl-api-failures})))

lib/datalog/tests/builtins.sx

@@ -0,0 +1,285 @@
+;; lib/datalog/tests/builtins.sx — comparison + arithmetic body literals.
+
+(define dl-bt-pass 0)
+(define dl-bt-fail 0)
+(define dl-bt-failures (list))
+
+(define
+  dl-bt-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-bt-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let
+          ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-bt-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-bt-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-bt-deep=? (nth a i) (nth b i))) false)
+      (else (dl-bt-deq-l? a b (+ i 1))))))
+
+(define
+  dl-bt-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i))) (not (dl-bt-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-bt-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-bt-set=?
+  (fn
+    (a b)
+    (and (= (len a) (len b)) (dl-bt-subset? a b) (dl-bt-subset? b a))))
+
+(define
+  dl-bt-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-bt-contains? ys (first xs))) false)
+      (else (dl-bt-subset? (rest xs) ys)))))
+
+(define
+  dl-bt-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-bt-deep=? (first xs) target) true)
+      (else (dl-bt-contains? (rest xs) target)))))
+
+(define
+  dl-bt-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-bt-set=? got expected)
+      (set! dl-bt-pass (+ dl-bt-pass 1))
+      (do
+        (set! dl-bt-fail (+ dl-bt-fail 1))
+        (append!
+          dl-bt-failures
+          (str
+            name
+            "\n    expected (set): "
+            expected
+            "\n    got:            "
+            got))))))
+
+(define
+  dl-bt-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-bt-deep=? got expected)
+      (set! dl-bt-pass (+ dl-bt-pass 1))
+      (do
+        (set! dl-bt-fail (+ dl-bt-fail 1))
+        (append!
+          dl-bt-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+(define
+  dl-bt-throws?
+  (fn
+    (thunk)
+    (let
+      ((threw false))
+      (do (guard (e (#t (set! threw true))) (thunk)) threw))))
+
+(define
+  dl-bt-run-all!
+  (fn
+    ()
+    (do
+      (dl-bt-test-set!
+        "less than filter"
+        (dl-query
+          (dl-program
+            "age(alice, 30). age(bob, 17). age(carol, 22).\n             adult(X) :- age(X, A), >=(A, 18).")
+          (list (quote adult) (quote X)))
+        (list {:X (quote alice)} {:X (quote carol)}))
+      (dl-bt-test-set!
+        "less-equal filter"
+        (dl-query
+          (dl-program
+            "n(1). n(2). n(3). n(4). n(5).\n             small(X) :- n(X), <=(X, 3).")
+          (list (quote small) (quote X)))
+        (list {:X 1} {:X 2} {:X 3}))
+      (dl-bt-test-set!
+        "not-equal filter"
+        (dl-query
+          (dl-program
+            "p(1, 2). p(2, 2). p(3, 4).\n             diff(X, Y) :- p(X, Y), !=(X, Y).")
+          (list (quote diff) (quote X) (quote Y)))
+        (list {:X 1 :Y 2} {:X 3 :Y 4}))
+      (dl-bt-test-set!
+        "is plus"
+        (dl-query
+          (dl-program
+            "n(1). n(2). n(3).\n             succ(X, Y) :- n(X), is(Y, +(X, 1)).")
+          (list (quote succ) (quote X) (quote Y)))
+        (list {:X 1 :Y 2} {:X 2 :Y 3} {:X 3 :Y 4}))
+      (dl-bt-test-set!
+        "is multiply"
+        (dl-query
+          (dl-program
+            "n(2). n(3). n(4).\n             square(X, Y) :- n(X), is(Y, *(X, X)).")
+          (list (quote square) (quote X) (quote Y)))
+        (list {:X 2 :Y 4} {:X 3 :Y 9} {:X 4 :Y 16}))
+      (dl-bt-test-set!
+        "is nested expr"
+        (dl-query
+          (dl-program
+            "n(1). n(2). n(3).\n             f(X, Y) :- n(X), is(Y, *(+(X, 1), 2)).")
+          (list (quote f) (quote X) (quote Y)))
+        (list {:X 1 :Y 4} {:X 2 :Y 6} {:X 3 :Y 8}))
+      (dl-bt-test-set!
+        "is bound LHS — equality"
+        (dl-query
+          (dl-program
+            "n(1, 2). n(2, 5). n(3, 4).\n             succ(X, Y) :- n(X, Y), is(Y, +(X, 1)).")
+          (list (quote succ) (quote X) (quote Y)))
+        (list {:X 1 :Y 2} {:X 3 :Y 4}))
+      (dl-bt-test-set!
+        "triple via is"
+        (dl-query
+          (dl-program
+            "n(1). n(2). n(3).\n             triple(X, Y) :- n(X), is(Y, *(X, 3)).")
+          (list (quote triple) (quote X) (quote Y)))
+        (list {:X 1 :Y 3} {:X 2 :Y 6} {:X 3 :Y 9}))
+      (dl-bt-test-set!
+        "= unifies var with constant"
+        (dl-query
+          (dl-program "p(a). p(b).\n             qual(X) :- p(X), =(X, a).")
+          (list (quote qual) (quote X)))
+        (list {:X (quote a)}))
+      (dl-bt-test-set!
+        "= unifies two vars (one bound)"
+        (dl-query
+          (dl-program "p(a). p(b).\n             twin(X, Y) :- p(X), =(Y, X).")
+          (list (quote twin) (quote X) (quote Y)))
+        (list {:X (quote a) :Y (quote a)} {:X (quote b) :Y (quote b)}))
+      (dl-bt-test!
+        "big count"
+        (let
+          ((db (dl-program "n(0). n(1). n(2). n(3). n(4). n(5). n(6). n(7). n(8). n(9).\n                  big(X) :- n(X), >=(X, 5).")))
+          (do (dl-saturate! db) (len (dl-relation db "big"))))
+        5)
+      ;; Built-in / arithmetic literals work as standalone query goals
+      ;; (without needing a wrapper rule).
+      (dl-bt-test-set! "comparison-only goal true"
+        (dl-eval "" "?- <(1, 2).")
+        (list {}))
+
+      (dl-bt-test-set! "comparison-only goal false"
+        (dl-eval "" "?- <(2, 1).")
+        (list))
+
+      (dl-bt-test-set! "is goal binds"
+        (dl-eval "" "?- is(N, +(2, 3)).")
+        (list {:N 5}))
+
+      ;; Bounded successor: a recursive rule with a comparison
+      ;; guard terminates because the Herbrand base is effectively
+      ;; bounded.
+      (dl-bt-test-set! "bounded successor"
+        (dl-query
+          (dl-program
+            "nat(0).
+             nat(Y) :- nat(X), is(Y, +(X, 1)), <(Y, 5).")
+          (list (quote nat) (quote X)))
+        (list {:X 0} {:X 1} {:X 2} {:X 3} {:X 4}))
+
+      (dl-bt-test!
+        "unsafe — comparison without binder"
+        (dl-bt-throws? (fn () (dl-program "p(X) :- <(X, 5).")))
+        true)
+      (dl-bt-test!
+        "unsafe — comparison both unbound"
+        (dl-bt-throws? (fn () (dl-program "p(X, Y) :- <(X, Y), q(X).")))
+        true)
+      (dl-bt-test!
+        "unsafe — is uses unbound RHS var"
+        (dl-bt-throws?
+          (fn () (dl-program "p(X, Y) :- q(X), is(Y, +(X, Z)).")))
+        true)
+      (dl-bt-test!
+        "unsafe — is on its own"
+        (dl-bt-throws? (fn () (dl-program "p(Y) :- is(Y, +(X, 1)).")))
+        true)
+      (dl-bt-test!
+        "unsafe — = between two unbound"
+        (dl-bt-throws? (fn () (dl-program "p(X, Y) :- =(X, Y).")))
+        true)
+      (dl-bt-test!
+        "safe — is binds head var"
+        (dl-bt-throws?
+          (fn () (dl-program "n(1). p(Y) :- n(X), is(Y, +(X, 1)).")))
+        false)
+      (dl-bt-test!
+        "safe — comparison after binder"
+        (dl-bt-throws?
+          (fn () (dl-program "n(1). big(X) :- n(X), >=(X, 0).")))
+        false)
+      (dl-bt-test!
+        "safe — = binds head var"
+        (dl-bt-throws?
+          (fn () (dl-program "p(a). p(b). x(Y) :- p(X), =(Y, X).")))
+        false)
+
+      ;; Division by zero raises with a clear error. Without this guard
+      ;; SX's `/` returned IEEE infinity, which then silently flowed
+      ;; through comparisons and aggregations.
+      (dl-bt-test!
+        "is — division by zero raises"
+        (dl-bt-throws?
+          (fn ()
+            (dl-eval "p(10). q(R) :- p(X), is(R, /(X, 0))." "?- q(R).")))
+        true)
+
+      ;; Comparison ops `<`, `<=`, `>`, `>=` require both operands to
+      ;; have the same primitive type. Cross-type comparisons used to
+      ;; silently return false (for some pairs) or raise a confusing
+      ;; host-level error (for others) — now they all raise with a
+      ;; message that names the offending values.
+      (dl-bt-test!
+        "comparison — string vs number raises"
+        (dl-bt-throws?
+          (fn ()
+            (dl-eval "p(\"hello\"). q(X) :- p(X), <(X, 5)." "?- q(X).")))
+        true)
+
+      ;; `!=` is the exception — it's a polymorphic inequality test
+      ;; (uses dl-tuple-equal? underneath) so cross-type pairs are
+      ;; legitimate (and trivially unequal).
+      (dl-bt-test-set! "!= works across types"
+        (dl-query
+          (dl-program
+            "p(1). p(\"1\"). q(X) :- p(X), !=(X, 1).")
+          (quote (q X)))
+        (list {:X "1"})))))
+
+(define
+  dl-builtins-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-bt-pass 0)
+      (set! dl-bt-fail 0)
+      (set! dl-bt-failures (list))
+      (dl-bt-run-all!)
+      {:failures dl-bt-failures :total (+ dl-bt-pass dl-bt-fail) :passed dl-bt-pass :failed dl-bt-fail})))

lib/datalog/tests/demo.sx

@@ -0,0 +1,321 @@
+;; lib/datalog/tests/demo.sx — Phase 10 demo programs.
+
+(define dl-demo-pass 0)
+(define dl-demo-fail 0)
+(define dl-demo-failures (list))
+
+(define
+  dl-demo-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-demo-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-demo-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-demo-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-demo-deep=? (nth a i) (nth b i))) false)
+      (else (dl-demo-deq-l? a b (+ i 1))))))
+
+(define
+  dl-demo-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i)))
+         (not (dl-demo-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-demo-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-demo-set=?
+  (fn
+    (a b)
+    (and
+      (= (len a) (len b))
+      (dl-demo-subset? a b)
+      (dl-demo-subset? b a))))
+
+(define
+  dl-demo-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-demo-contains? ys (first xs))) false)
+      (else (dl-demo-subset? (rest xs) ys)))))
+
+(define
+  dl-demo-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-demo-deep=? (first xs) target) true)
+      (else (dl-demo-contains? (rest xs) target)))))
+
+(define
+  dl-demo-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-demo-set=? got expected)
+      (set! dl-demo-pass (+ dl-demo-pass 1))
+      (do
+        (set! dl-demo-fail (+ dl-demo-fail 1))
+        (append!
+          dl-demo-failures
+          (str
+            name
+            "\n    expected (set): " expected
+            "\n    got:            " got))))))
+
+(define
+  dl-demo-run-all!
+  (fn
+    ()
+    (do
+      ;; ── Federation ──────────────────────────────────────────
+      (dl-demo-test-set! "mutuals"
+        (dl-query
+          (dl-demo-make
+            (quote ((follows alice bob) (follows bob alice)
+                    (follows bob carol) (follows carol dave)))
+            dl-demo-federation-rules)
+          (quote (mutual alice X)))
+        (list {:X (quote bob)}))
+
+      (dl-demo-test-set! "reachable transitive"
+        (dl-query
+          (dl-demo-make
+            (quote ((follows alice bob) (follows bob carol) (follows carol dave)))
+            dl-demo-federation-rules)
+          (quote (reachable alice X)))
+        (list {:X (quote bob)} {:X (quote carol)} {:X (quote dave)}))
+
+      (dl-demo-test-set! "foaf"
+        (dl-query
+          (dl-demo-make
+            (quote ((follows alice bob) (follows bob carol) (follows alice dave)))
+            dl-demo-federation-rules)
+          (quote (foaf alice X)))
+        (list {:X (quote carol)}))
+
+      ;; ── Content ─────────────────────────────────────────────
+      (dl-demo-test-set! "popular posts"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((authored alice p1) (authored bob p2) (authored carol p3)
+               (liked u1 p1) (liked u2 p1) (liked u3 p1)
+               (liked u1 p2)))
+            dl-demo-content-rules)
+          (quote (popular P)))
+        (list {:P (quote p1)}))
+
+      (dl-demo-test-set! "interesting feed"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((follows me alice) (follows me bob)
+               (authored alice p1) (authored bob p2)
+               (liked u1 p1) (liked u2 p1) (liked u3 p1)
+               (liked u4 p2)))
+            dl-demo-content-rules)
+          (quote (interesting me P)))
+        (list {:P (quote p1)}))
+
+      (dl-demo-test-set! "post likes count"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((authored alice p1)
+               (liked u1 p1) (liked u2 p1) (liked u3 p1)))
+            dl-demo-content-rules)
+          (quote (post-likes p1 N)))
+        (list {:N 3}))
+
+      ;; ── Permissions ─────────────────────────────────────────
+      (dl-demo-test-set! "direct group access"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((member alice editors)
+               (allowed editors blog)))
+            dl-demo-perm-rules)
+          (quote (can-access X blog)))
+        (list {:X (quote alice)}))
+
+      (dl-demo-test-set! "subgroup access"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((member bob writers)
+               (subgroup writers editors)
+               (allowed editors blog)))
+            dl-demo-perm-rules)
+          (quote (can-access X blog)))
+        (list {:X (quote bob)}))
+
+      (dl-demo-test-set! "transitive subgroup"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((member carol drafters)
+               (subgroup drafters writers)
+               (subgroup writers editors)
+               (allowed editors blog)))
+            dl-demo-perm-rules)
+          (quote (can-access X blog)))
+        (list {:X (quote carol)}))
+
+      ;; ── Cooking posts (canonical Phase 10 example) ─────────
+      (dl-demo-test-set! "cooking posts by network"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((follows me alice) (follows alice bob) (follows alice carol)
+               (authored alice p1) (authored bob p2)
+               (authored carol p3) (authored carol p4)
+               (tagged p1 travel) (tagged p2 cooking)
+               (tagged p3 cooking) (tagged p4 books)))
+            dl-demo-cooking-rules)
+          (quote (cooking-post-by-network me P)))
+        (list {:P (quote p2)} {:P (quote p3)}))
+
+      (dl-demo-test-set! "cooking — direct follow only"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((follows me bob)
+               (authored bob p1) (authored bob p2)
+               (tagged p1 cooking) (tagged p2 books)))
+            dl-demo-cooking-rules)
+          (quote (cooking-post-by-network me P)))
+        (list {:P (quote p1)}))
+
+      (dl-demo-test-set! "cooking — none in network"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((follows me bob)
+               (authored bob p1) (tagged p1 books)))
+            dl-demo-cooking-rules)
+          (quote (cooking-post-by-network me P)))
+        (list))
+
+      ;; ── Tag co-occurrence ──────────────────────────────────
+      (dl-demo-test-set! "cotagged posts"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((tagged p1 cooking) (tagged p1 vegetarian)
+               (tagged p2 cooking) (tagged p2 quick)
+               (tagged p3 vegetarian)))
+            dl-demo-tag-cooccur-rules)
+          (quote (cotagged P cooking vegetarian)))
+        (list {:P (quote p1)}))
+
+      (dl-demo-test-set! "tag pair count"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((tagged p1 cooking) (tagged p1 vegetarian)
+               (tagged p2 cooking) (tagged p2 quick)
+               (tagged p3 cooking) (tagged p3 vegetarian)))
+            dl-demo-tag-cooccur-rules)
+          (quote (tag-pair-count cooking vegetarian N)))
+        (list {:N 2}))
+
+      ;; ── Shortest path on a weighted DAG ──────────────────
+      (dl-demo-test-set! "shortest a→d via DAG"
+        (dl-query
+          (dl-demo-make
+            (quote ((edge a b 5) (edge b c 3) (edge a c 10) (edge c d 2)))
+            dl-demo-shortest-path-rules)
+          (quote (shortest a d W)))
+        (list {:W 10}))
+
+      (dl-demo-test-set! "shortest a→c picks 2-hop"
+        (dl-query
+          (dl-demo-make
+            (quote ((edge a b 5) (edge b c 3) (edge a c 10)))
+            dl-demo-shortest-path-rules)
+          (quote (shortest a c W)))
+        (list {:W 8}))
+
+      (dl-demo-test-set! "shortest unreachable empty"
+        (dl-query
+          (dl-demo-make
+            (quote ((edge a b 5) (edge b c 3)))
+            dl-demo-shortest-path-rules)
+          (quote (shortest a d W)))
+        (list))
+
+      ;; ── Org chart + headcount ─────────────────────────────
+      (dl-demo-test-set! "ceo subordinate transitive"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((manager ic1 mgr1) (manager ic2 mgr1)
+               (manager mgr1 vp1) (manager ic3 vp1)
+               (manager vp1 ceo)))
+            dl-demo-org-rules)
+          (quote (subordinate ceo X)))
+        (list
+          {:X (quote vp1)} {:X (quote mgr1)} {:X (quote ic1)}
+          {:X (quote ic2)} {:X (quote ic3)}))
+
+      (dl-demo-test-set! "ceo headcount = 5"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((manager ic1 mgr1) (manager ic2 mgr1)
+               (manager mgr1 vp1) (manager ic3 vp1)
+               (manager vp1 ceo)))
+            dl-demo-org-rules)
+          (quote (headcount ceo N)))
+        (list {:N 5}))
+
+      (dl-demo-test-set! "mgr1 headcount = 2"
+        (dl-query
+          (dl-demo-make
+            (quote
+              ((manager ic1 mgr1) (manager ic2 mgr1)
+               (manager mgr1 vp1) (manager ic3 vp1)
+               (manager vp1 ceo)))
+            dl-demo-org-rules)
+          (quote (headcount mgr1 N)))
+        (list {:N 2}))
+
+      (dl-demo-test-set! "no access without grant"
+        (dl-query
+          (dl-demo-make
+            (quote ((member dave outsiders) (allowed editors blog)))
+            dl-demo-perm-rules)
+          (quote (can-access X blog)))
+        (list)))))
+
+(define
+  dl-demo-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-demo-pass 0)
+      (set! dl-demo-fail 0)
+      (set! dl-demo-failures (list))
+      (dl-demo-run-all!)
+      {:passed dl-demo-pass
+       :failed dl-demo-fail
+       :total (+ dl-demo-pass dl-demo-fail)
+       :failures dl-demo-failures})))

lib/datalog/tests/eval.sx

@@ -0,0 +1,463 @@
+;; lib/datalog/tests/eval.sx — naive evaluation + safety analysis tests.
+
+(define dl-et-pass 0)
+(define dl-et-fail 0)
+(define dl-et-failures (list))
+
+;; Same deep-equal helper used in other suites.
+(define
+  dl-et-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-et-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let
+          ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-et-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-et-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-et-deep=? (nth a i) (nth b i))) false)
+      (else (dl-et-deq-l? a b (+ i 1))))))
+
+(define
+  dl-et-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i))) (not (dl-et-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-et-deq-d? a b ka (+ i 1))))))
+
+;; Set-equality on lists (order-independent, uses dl-et-deep=?).
+(define
+  dl-et-set=?
+  (fn
+    (a b)
+    (and (= (len a) (len b)) (dl-et-subset? a b) (dl-et-subset? b a))))
+
+(define
+  dl-et-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-et-contains? ys (first xs))) false)
+      (else (dl-et-subset? (rest xs) ys)))))
+
+(define
+  dl-et-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-et-deep=? (first xs) target) true)
+      (else (dl-et-contains? (rest xs) target)))))
+
+(define
+  dl-et-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-et-deep=? got expected)
+      (set! dl-et-pass (+ dl-et-pass 1))
+      (do
+        (set! dl-et-fail (+ dl-et-fail 1))
+        (append!
+          dl-et-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+(define
+  dl-et-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-et-set=? got expected)
+      (set! dl-et-pass (+ dl-et-pass 1))
+      (do
+        (set! dl-et-fail (+ dl-et-fail 1))
+        (append!
+          dl-et-failures
+          (str
+            name
+            "\n    expected (set): "
+            expected
+            "\n    got:            "
+            got))))))
+
+(define
+  dl-et-throws?
+  (fn
+    (thunk)
+    (let
+      ((threw false))
+      (do (guard (e (#t (set! threw true))) (thunk)) threw))))
+
+(define
+  dl-et-run-all!
+  (fn
+    ()
+    (do
+      (dl-et-test-set!
+        "fact lookup any"
+        (dl-query
+          (dl-program "parent(tom, bob). parent(bob, ann).")
+          (list (quote parent) (quote X) (quote Y)))
+        (list {:X (quote tom) :Y (quote bob)} {:X (quote bob) :Y (quote ann)}))
+      (dl-et-test-set!
+        "fact lookup constant arg"
+        (dl-query
+          (dl-program "parent(tom, bob). parent(tom, liz). parent(bob, ann).")
+          (list (quote parent) (quote tom) (quote Y)))
+        (list {:Y (quote bob)} {:Y (quote liz)}))
+      (dl-et-test-set!
+        "no match"
+        (dl-query
+          (dl-program "parent(tom, bob).")
+          (list (quote parent) (quote nobody) (quote X)))
+        (list))
+      (dl-et-test-set!
+        "ancestor closure"
+        (dl-query
+          (dl-program
+            "parent(tom, bob). parent(bob, ann). parent(ann, pat).\n             ancestor(X, Y) :- parent(X, Y).\n             ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")
+          (list (quote ancestor) (quote tom) (quote X)))
+        (list {:X (quote bob)} {:X (quote ann)} {:X (quote pat)}))
+      (dl-et-test-set!
+        "sibling"
+        (dl-query
+          (dl-program
+            "parent(tom, bob). parent(tom, liz). parent(jane, bob). parent(jane, liz).\n             sibling(X, Y) :- parent(P, X), parent(P, Y).")
+          (list (quote sibling) (quote bob) (quote Y)))
+        (list {:Y (quote bob)} {:Y (quote liz)}))
+      (dl-et-test-set!
+        "same-generation"
+        (dl-query
+          (dl-program
+            "parent(tom, bob). parent(tom, liz). parent(bob, ann). parent(liz, joe).\n             person(tom). person(bob). person(liz). person(ann). person(joe).\n             sg(X, X) :- person(X).\n             sg(X, Y) :- parent(P1, X), sg(P1, P2), parent(P2, Y).")
+          (list (quote sg) (quote ann) (quote X)))
+        (list {:X (quote ann)} {:X (quote joe)}))
+      (dl-et-test!
+        "ancestor count"
+        (let
+          ((db (dl-program "parent(a, b). parent(b, c). parent(c, d).\n                  ancestor(X, Y) :- parent(X, Y).\n                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (do (dl-saturate! db) (len (dl-relation db "ancestor"))))
+        6)
+      (dl-et-test-set!
+        "grandparent"
+        (dl-query
+          (dl-program
+            "parent(a, b). parent(b, c). parent(c, d).\n             grandparent(X, Z) :- parent(X, Y), parent(Y, Z).")
+          (list (quote grandparent) (quote X) (quote Y)))
+        (list {:X (quote a) :Y (quote c)} {:X (quote b) :Y (quote d)}))
+      (dl-et-test!
+        "no recursion infinite loop"
+        (let
+          ((db (dl-program "edge(1, 2). edge(2, 3). edge(3, 1).\n                  reach(X, Y) :- edge(X, Y).\n                  reach(X, Z) :- edge(X, Y), reach(Y, Z).")))
+          (do (dl-saturate! db) (len (dl-relation db "reach"))))
+        9)
+      ;; Rule-shape sanity: empty-list head and non-list body raise
+      ;; clear errors rather than crashing inside the saturator.
+      (dl-et-test! "empty head rejected"
+        (dl-et-throws?
+          (fn ()
+            (dl-add-rule! (dl-make-db)
+              {:head (list) :body (list)})))
+        true)
+
+      (dl-et-test! "non-list body rejected"
+        (dl-et-throws?
+          (fn ()
+            (dl-add-rule! (dl-make-db)
+              {:head (list (quote p) (quote X)) :body 42})))
+        true)
+
+      ;; Reserved relation names rejected as rule/fact heads.
+      (dl-et-test!
+        "reserved name `not` as head rejected"
+        (dl-et-throws? (fn () (dl-program "not(X) :- p(X).")))
+        true)
+
+      (dl-et-test!
+        "reserved name `count` as head rejected"
+        (dl-et-throws?
+          (fn () (dl-program "count(N, X, p(X)) :- p(X).")))
+        true)
+
+      (dl-et-test!
+        "reserved name `<` as head rejected"
+        (dl-et-throws? (fn () (dl-program "<(X, 5) :- p(X).")))
+        true)
+
+      (dl-et-test!
+        "reserved name `is` as head rejected"
+        (dl-et-throws? (fn () (dl-program "is(N, +(1, 2)) :- p(N).")))
+        true)
+
+      ;; Body literal with a reserved-name positive head is rejected.
+      ;; The parser only treats outer-level `not(P)` as negation; nested
+      ;; `not(not(P))` would otherwise silently parse as a positive call
+      ;; to a relation named `not` and succeed vacuously. The safety
+      ;; checker now flags this so the user gets a clear error.
+      ;; Body literal with a reserved-name positive head is rejected.
+      ;; The parser only treats outer-level `not(P)` as negation; nested
+      ;; `not(not(P))` would otherwise silently parse as a positive call
+      ;; to a relation named `not` and succeed vacuously — so the safety
+      ;; checker now flags this to give the user a clear error.
+      (dl-et-test!
+        "nested not(not(...)) rejected"
+        (dl-et-throws?
+          (fn ()
+            (dl-program
+              "banned(a). u(a). vip(X) :- u(X), not(not(banned(X))).")))
+        true)
+
+      ;; A dict body literal that isn't `{:neg ...}` is almost always a
+      ;; typo — it would otherwise silently fall through to a confusing
+      ;; head-var-unbound safety error. Now caught with a clear message.
+      (dl-et-test!
+        "dict body lit without :neg rejected"
+        (dl-et-throws?
+          (fn ()
+            (let ((db (dl-make-db)))
+              (dl-add-rule! db
+                {:head (list (quote p) (quote X))
+                 :body (list {:weird "stuff"})}))))
+        true)
+
+      ;; Facts may only have simple-term args (number / string / symbol).
+      ;; A compound arg like `+(1, 2)` would otherwise be silently
+      ;; stored as the unreduced expression `(+ 1 2)` because dl-ground?
+      ;; sees no free variables.
+      (dl-et-test!
+        "compound arg in fact rejected"
+        (dl-et-throws? (fn () (dl-program "p(+(1, 2)).")))
+        true)
+
+      ;; Rule heads may only have variable or constant args — no
+      ;; compounds. Compound heads would be saturated as unreduced
+      ;; tuples rather than the arithmetic result the user expected.
+      (dl-et-test!
+        "compound arg in rule head rejected"
+        (dl-et-throws?
+          (fn () (dl-program "n(3). double(*(X, 2)) :- n(X).")))
+        true)
+
+      ;; The anonymous-variable renamer used to start at `_anon1`
+      ;; unconditionally; a rule that wrote `q(_anon1) :- p(_anon1, _)`
+      ;; (the user picking the same name the renamer would generate)
+      ;; would see the `_` renamed to `_anon1` too, collapsing the
+      ;; two positions in `p(_anon1, _)` to a single var. Now the
+      ;; renamer scans the rule for the max `_anon<N>` and starts past
+      ;; it, so user-written names of that form are preserved.
+      (dl-et-test-set! "anonymous-rename avoids user `_anon` collision"
+        (dl-query
+          (dl-program
+            "p(a, b). p(c, d). q(_anon1) :- p(_anon1, _).")
+          (quote (q X)))
+        (list {:X (quote a)} {:X (quote c)}))
+
+      (dl-et-test!
+        "unsafe head var"
+        (dl-et-throws? (fn () (dl-program "p(X, Y) :- q(X).")))
+        true)
+      (dl-et-test!
+        "unsafe — empty body"
+        (dl-et-throws? (fn () (dl-program "p(X) :- .")))
+        true)
+      ;; Underscore in head is unsafe — it's a fresh existential per
+      ;; occurrence after Phase 5d's anonymous-var renaming, and there's
+      ;; nothing in the body to bind it. (Old behavior accepted this by
+      ;; treating '_' as a literal name to skip; the renaming made it an
+      ;; ordinary unbound variable.)
+      (dl-et-test!
+        "underscore in head — unsafe"
+        (dl-et-throws? (fn () (dl-program "p(X, _) :- q(X).")))
+        true)
+      (dl-et-test!
+        "underscore in body only — safe"
+        (dl-et-throws? (fn () (dl-program "p(X) :- q(X, _).")))
+        false)
+      (dl-et-test!
+        "var only in head — unsafe"
+        (dl-et-throws? (fn () (dl-program "p(X, Y) :- q(Z).")))
+        true)
+      (dl-et-test!
+        "head var bound by body"
+        (dl-et-throws? (fn () (dl-program "p(X) :- q(X).")))
+        false)
+      (dl-et-test!
+        "head subset of body"
+        (dl-et-throws?
+          (fn
+            ()
+            (dl-program
+              "edge(a,b). edge(b,c). reach(X, Z) :- edge(X, Y), edge(Y, Z).")))
+        false)
+
+      ;; Anonymous variables: each occurrence must be independent.
+      (dl-et-test-set! "anon vars in rule are independent"
+        (dl-query
+          (dl-program
+            "p(a, b). p(c, d). q(X) :- p(X, _), p(_, Y).")
+          (list (quote q) (quote X)))
+        (list {:X (quote a)} {:X (quote c)}))
+
+      (dl-et-test-set! "anon vars in goal are independent"
+        (dl-query
+          (dl-program "p(1, 2, 3). p(4, 5, 6).")
+          (list (quote p) (quote _) (quote X) (quote _)))
+        (list {:X 2} {:X 5}))
+
+      ;; dl-summary: relation -> tuple-count for inspection.
+      (dl-et-test! "dl-summary basic"
+        (dl-summary
+          (let
+            ((db (dl-program "p(1). p(2). q(3).")))
+            (do (dl-saturate! db) db)))
+        {:p 2 :q 1})
+
+      (dl-et-test! "dl-summary empty IDB shown"
+        (dl-summary
+          (let
+            ((db (dl-program "r(X) :- s(X).")))
+            (do (dl-saturate! db) db)))
+        {:r 0})
+
+      (dl-et-test! "dl-summary mixed EDB and IDB"
+        (dl-summary
+          (let
+            ((db (dl-program
+                   "parent(a, b).
+                    ancestor(X, Y) :- parent(X, Y).
+                    ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+            (do (dl-saturate! db) db)))
+        {:parent 1 :ancestor 1})
+
+      (dl-et-test! "dl-summary empty db"
+        (dl-summary (dl-make-db))
+        {})
+
+      ;; Strategy hook: default semi-naive; :magic accepted but
+      ;; falls back to semi-naive (the transformation itself is
+      ;; deferred — Phase 6 in plan).
+      (dl-et-test! "default strategy"
+        (dl-get-strategy (dl-make-db))
+        :semi-naive)
+
+      (dl-et-test! "set strategy"
+        (let ((db (dl-make-db)))
+          (do (dl-set-strategy! db :magic) (dl-get-strategy db)))
+        :magic)
+
+      ;; Unknown strategy values are rejected so typos don't silently
+      ;; fall back to the default.
+      (dl-et-test!
+        "unknown strategy rejected"
+        (dl-et-throws?
+          (fn ()
+            (let ((db (dl-make-db)))
+              (dl-set-strategy! db :semi_naive))))
+        true)
+
+      ;; dl-saturated?: no-work-left predicate.
+      (dl-et-test! "saturated? after saturation"
+        (let ((db (dl-program
+                    "parent(a, b).
+                     ancestor(X, Y) :- parent(X, Y).")))
+          (do (dl-saturate! db) (dl-saturated? db)))
+        true)
+
+      (dl-et-test! "saturated? before saturation"
+        (let ((db (dl-program
+                    "parent(a, b).
+                     ancestor(X, Y) :- parent(X, Y).")))
+          (dl-saturated? db))
+        false)
+
+      ;; Disjunction via multiple rules — Datalog has no `;` in
+      ;; body, so disjunction is expressed as separate rules with
+      ;; the same head. Here plant_based(X) is satisfied by either
+      ;; vegan(X) or vegetarian(X).
+      (dl-et-test-set! "disjunction via multiple rules"
+        (dl-query
+          (dl-program
+            "vegan(alice). vegetarian(bob). meat_eater(carol).
+             plant_based(X) :- vegan(X).
+             plant_based(X) :- vegetarian(X).")
+          (list (quote plant_based) (quote X)))
+        (list {:X (quote alice)} {:X (quote bob)}))
+
+      ;; Bipartite-style join: pair-of-friends who share a hobby.
+      ;; Three-relation join exercising the planner's join order.
+      (dl-et-test-set! "bipartite friends-with-hobby"
+        (dl-query
+          (dl-program
+            "hobby(alice, climb). hobby(bob, paint).
+             hobby(carol, climb).
+             friend(alice, carol). friend(bob, alice).
+             match(A, B, H) :- friend(A, B), hobby(A, H), hobby(B, H).")
+          (list (quote match) (quote A) (quote B) (quote H)))
+        (list {:A (quote alice) :B (quote carol) :H (quote climb)}))
+
+      ;; Repeated variable (diagonal): p(X, X) only matches tuples
+      ;; whose two args are equal. The unifier handles this via the
+      ;; subst chain — first occurrence binds X, second occurrence
+      ;; checks against the binding.
+      (dl-et-test-set! "diagonal query"
+        (dl-query
+          (dl-program "p(1, 1). p(2, 3). p(4, 4). p(5, 5).")
+          (list (quote p) (quote X) (quote X)))
+        (list {:X 1} {:X 4} {:X 5}))
+
+      ;; A relation can be both EDB-seeded and rule-derived;
+      ;; saturate combines facts + derivations.
+      (dl-et-test-set! "mixed EDB + IDB same relation"
+        (dl-query
+          (dl-program
+            "link(a, b). link(c, d). link(e, c).
+             via(a, e).
+             link(X, Y) :- via(X, M), link(M, Y).")
+          (list (quote link) (quote a) (quote X)))
+        (list {:X (quote b)} {:X (quote c)}))
+
+      (dl-et-test! "saturated? after assert"
+        (let ((db (dl-program
+                    "parent(a, b).
+                     ancestor(X, Y) :- parent(X, Y).")))
+          (do
+            (dl-saturate! db)
+            (dl-add-fact! db (list (quote parent) (quote b) (quote c)))
+            (dl-saturated? db)))
+        false)
+
+      (dl-et-test-set! "magic-set still derives correctly"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (do
+            (dl-set-strategy! db :magic)
+            (dl-query db (list (quote ancestor) (quote a) (quote X)))))
+        (list {:X (quote b)} {:X (quote c)})))))
+
+(define
+  dl-eval-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-et-pass 0)
+      (set! dl-et-fail 0)
+      (set! dl-et-failures (list))
+      (dl-et-run-all!)
+      {:failures dl-et-failures :total (+ dl-et-pass dl-et-fail) :passed dl-et-pass :failed dl-et-fail})))

lib/datalog/tests/magic.sx

@@ -0,0 +1,528 @@
+;; lib/datalog/tests/magic.sx — adornment + SIPS analysis tests.
+
+(define dl-mt-pass 0)
+(define dl-mt-fail 0)
+(define dl-mt-failures (list))
+
+(define
+  dl-mt-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-mt-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-mt-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-mt-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-mt-deep=? (nth a i) (nth b i))) false)
+      (else (dl-mt-deq-l? a b (+ i 1))))))
+
+(define
+  dl-mt-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i)))
+         (not (dl-mt-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-mt-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-mt-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-mt-deep=? got expected)
+      (set! dl-mt-pass (+ dl-mt-pass 1))
+      (do
+        (set! dl-mt-fail (+ dl-mt-fail 1))
+        (append!
+          dl-mt-failures
+          (str
+            name
+            "\n    expected: " expected
+            "\n    got:      " got))))))
+
+(define
+  dl-mt-run-all!
+  (fn
+    ()
+    (do
+      ;; Goal adornment.
+      (dl-mt-test! "adorn 0-ary"
+        (dl-adorn-goal (list (quote ready)))
+        "")
+      (dl-mt-test! "adorn all bound"
+        (dl-adorn-goal (list (quote p) 1 2 3))
+        "bbb")
+      (dl-mt-test! "adorn all free"
+        (dl-adorn-goal (list (quote p) (quote X) (quote Y)))
+        "ff")
+      (dl-mt-test! "adorn mixed"
+        (dl-adorn-goal (list (quote ancestor) (quote tom) (quote X)))
+        "bf")
+      (dl-mt-test! "adorn const var const"
+        (dl-adorn-goal (list (quote p) (quote a) (quote X) (quote b)))
+        "bfb")
+
+      ;; dl-adorn-lit with explicit bound set.
+      (dl-mt-test! "adorn lit with bound"
+        (dl-adorn-lit (list (quote p) (quote X) (quote Y)) (list "X"))
+        "bf")
+
+      ;; Rule SIPS — chain ancestor.
+      (dl-mt-test! "sips chain ancestor bf"
+        (dl-rule-sips
+          {:head (list (quote ancestor) (quote X) (quote Z))
+           :body (list (list (quote parent) (quote X) (quote Y))
+                       (list (quote ancestor) (quote Y) (quote Z)))}
+          "bf")
+        (list
+          {:lit (list (quote parent) (quote X) (quote Y)) :adornment "bf"}
+          {:lit (list (quote ancestor) (quote Y) (quote Z)) :adornment "bf"}))
+
+      ;; SIPS — head fully bound.
+      (dl-mt-test! "sips head bb"
+        (dl-rule-sips
+          {:head (list (quote q) (quote X) (quote Y))
+           :body (list (list (quote p) (quote X) (quote Z))
+                       (list (quote r) (quote Z) (quote Y)))}
+          "bb")
+        (list
+          {:lit (list (quote p) (quote X) (quote Z)) :adornment "bf"}
+          {:lit (list (quote r) (quote Z) (quote Y)) :adornment "bb"}))
+
+      ;; SIPS — comparison; vars must be bound by prior body lit.
+      (dl-mt-test! "sips with comparison"
+        (dl-rule-sips
+          {:head (list (quote q) (quote X))
+           :body (list (list (quote p) (quote X))
+                       (list (string->symbol "<") (quote X) 5))}
+          "f")
+        (list
+          {:lit (list (quote p) (quote X)) :adornment "f"}
+          {:lit (list (string->symbol "<") (quote X) 5) :adornment "bb"}))
+
+      ;; SIPS — `is` binds its left arg.
+      (dl-mt-test! "sips with is"
+        (dl-rule-sips
+          {:head (list (quote q) (quote X) (quote Y))
+           :body (list (list (quote p) (quote X))
+                       (list (quote is) (quote Y) (list (string->symbol "+") (quote X) 1)))}
+          "ff")
+        (list
+          {:lit (list (quote p) (quote X)) :adornment "f"}
+          {:lit (list (quote is) (quote Y)
+                      (list (string->symbol "+") (quote X) 1))
+           :adornment "fb"}))
+
+      ;; Magic predicate naming.
+      (dl-mt-test! "magic-rel-name"
+        (dl-magic-rel-name "ancestor" "bf")
+        "magic_ancestor^bf")
+
+      ;; Bound-args extraction.
+      (dl-mt-test! "bound-args bf"
+        (dl-bound-args (list (quote ancestor) (quote tom) (quote X)) "bf")
+        (list (quote tom)))
+
+      (dl-mt-test! "bound-args mixed"
+        (dl-bound-args (list (quote p) 1 (quote Y) 3) "bfb")
+        (list 1 3))
+
+      (dl-mt-test! "bound-args all-free"
+        (dl-bound-args (list (quote p) (quote X) (quote Y)) "ff")
+        (list))
+
+      ;; Magic literal construction.
+      (dl-mt-test! "magic-lit"
+        (dl-magic-lit "ancestor" "bf" (list (quote tom)))
+        (list (string->symbol "magic_ancestor^bf") (quote tom)))
+
+      ;; Magic-sets rewriter: structural sanity.
+      (dl-mt-test! "rewrite ancestor produces seed"
+        (let
+          ((rules
+             (list
+               {:head (list (quote ancestor) (quote X) (quote Y))
+                :body (list (list (quote parent) (quote X) (quote Y)))}
+               {:head (list (quote ancestor) (quote X) (quote Z))
+                :body
+                (list (list (quote parent) (quote X) (quote Y))
+                      (list (quote ancestor) (quote Y) (quote Z)))})))
+          (get
+            (dl-magic-rewrite rules "ancestor" "bf" (list (quote a)))
+            :seed))
+        (list (string->symbol "magic_ancestor^bf") (quote a)))
+
+      ;; Equivalence: rewritten program derives same ancestor tuples.
+      ;; In a chain a→b→c→d, magic-rewritten run still derives all
+      ;; ancestor pairs reachable from any node a/b/c/d propagated via
+      ;; magic_ancestor^bf — i.e. the full closure (6 tuples). Magic
+      ;; saves work only when the EDB has irrelevant nodes outside
+      ;; the seed's transitive cone.
+      (dl-mt-test! "magic-rewritten ancestor count"
+        (let
+          ((rules
+             (list
+               {:head (list (quote ancestor) (quote X) (quote Y))
+                :body (list (list (quote parent) (quote X) (quote Y)))}
+               {:head (list (quote ancestor) (quote X) (quote Z))
+                :body
+                (list (list (quote parent) (quote X) (quote Y))
+                      (list (quote ancestor) (quote Y) (quote Z)))}))
+            (edb (list
+                   (list (quote parent) (quote a) (quote b))
+                   (list (quote parent) (quote b) (quote c))
+                   (list (quote parent) (quote c) (quote d)))))
+          (let
+            ((rewritten (dl-magic-rewrite rules "ancestor" "bf" (list (quote a))))
+              (db (dl-make-db)))
+            (do
+              (for-each (fn (f) (dl-add-fact! db f)) edb)
+              (dl-add-fact! db (get rewritten :seed))
+              (for-each (fn (r) (dl-add-rule! db r)) (get rewritten :rules))
+              (dl-saturate! db)
+              (len (dl-relation db "ancestor")))))
+        6)
+
+      ;; dl-magic-query: end-to-end driver, doesn't mutate caller's db.
+      ;; Magic over a rule with negated body literal — propagation
+      ;; rules generated only for positive lits; negated lits pass
+      ;; through unchanged.
+      (dl-mt-test! "magic over rule with negation"
+        (let
+          ((db (dl-program
+                 "u(a). u(b). u(c). banned(b).
+                  active(X) :- u(X), not(banned(X)).")))
+          (let
+            ((semi (dl-query db (list (quote active) (quote X))))
+              (magic (dl-magic-query db (list (quote active) (quote X)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; All-bound query (existence check) generates an "bb"
+      ;; adornment chain. Verifies the rewriter walks multiple
+      ;; (rel, adn) pairs through the worklist.
+      (dl-mt-test! "magic existence check via bb"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c). parent(c, d).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (let
+            ((found (dl-magic-query
+                      db (list (quote ancestor) (quote a) (quote c))))
+              (missing (dl-magic-query
+                         db (list (quote ancestor) (quote a) (quote z)))))
+            (and (= (len found) 1) (= (len missing) 0))))
+        true)
+
+      ;; Magic equivalence on the federation demo.
+      (dl-mt-test! "magic ≡ semi on foaf demo"
+        (let
+          ((db (dl-program-data
+                 (quote ((follows alice bob)
+                         (follows bob carol)
+                         (follows alice dave)))
+                 dl-demo-federation-rules)))
+          (let
+            ((semi (dl-query db (quote (foaf alice X))))
+              (magic (dl-magic-query db (quote (foaf alice X)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Shape validation: dl-magic-query rejects non-list / non-
+      ;; dict goal shapes cleanly rather than crashing in `rest`.
+      (dl-mt-test! "magic rejects string goal"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-magic-query (dl-make-db) "foo"))
+            threw))
+        true)
+
+      (dl-mt-test! "magic rejects bare dict goal"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-magic-query (dl-make-db) {:foo "bar"}))
+            threw))
+        true)
+
+      ;; 3-stratum program under magic — distinct rule heads at
+      ;; strata 0/1/2 must all rewrite via the worklist.
+      (dl-mt-test! "magic 3-stratum program"
+        (let
+          ((db (dl-program
+                 "a(1). a(2). a(3). b(2).
+                  c(X) :- a(X), not(b(X)).
+                  d(X) :- c(X), not(banned(X)).
+                  banned(3).")))
+          (let
+            ((semi (dl-query db (list (quote d) (quote X))))
+              (magic (dl-magic-query db (list (quote d) (quote X)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Aggregate -> derived -> threshold chain via magic.
+      (dl-mt-test! "magic aggregate-derived chain"
+        (let
+          ((db (dl-program
+                 "src(1). src(2). src(3).
+                  cnt(N) :- count(N, X, src(X)).
+                  active(N) :- cnt(N), >=(N, 2).")))
+          (let
+            ((semi (dl-query db (list (quote active) (quote N))))
+              (magic (dl-magic-query db (list (quote active) (quote N)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Multi-relation rewrite chain: query r4 → propagate to r3,
+      ;; r2, r1, a. The worklist must process all of them; an
+      ;; earlier bug stopped after only the head pair.
+      (dl-mt-test! "magic chain through 4 rule levels"
+        (let
+          ((db (dl-program
+                 "a(1). a(2). r1(X) :- a(X). r2(X) :- r1(X).
+                  r3(X) :- r2(X). r4(X) :- r3(X).")))
+          (= 2 (len (dl-magic-query db (list (quote r4) (quote X))))))
+        true)
+
+      ;; Shortest-path demo via magic — exercises the rewriter
+      ;; against rules that mix recursive positive lits with an
+      ;; aggregate body literal.
+      (dl-mt-test! "magic on shortest-path demo"
+        (let
+          ((db (dl-program-data
+                 (quote ((edge a b 5) (edge b c 3) (edge a c 10)))
+                 dl-demo-shortest-path-rules)))
+          (let
+            ((semi (dl-query db (quote (shortest a c W))))
+              (magic (dl-magic-query db (quote (shortest a c W)))))
+            (and (= (len semi) (len magic))
+                 (= (len semi) 1))))
+        true)
+
+      ;; Same relation called with different adornment patterns
+      ;; in different rules. The worklist must enqueue and process
+      ;; each (rel, adornment) pair.
+      (dl-mt-test! "magic with multi-adornment same relation"
+        (let
+          ((db (dl-program
+                 "parent(p1, alice). parent(p2, bob).
+                  parent(g, p1). parent(g, p2).
+                  sibling(P1, P2) :- parent(G, P1), parent(G, P2),
+                                     !=(P1, P2).
+                  cousin(X, Y) :- parent(P1, X), parent(P2, Y),
+                                  sibling(P1, P2).")))
+          (let
+            ((semi (dl-query db (list (quote cousin) (quote alice) (quote Y))))
+              (magic (dl-magic-query db (list (quote cousin) (quote alice) (quote Y)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Magic over a rule whose body contains an aggregate.
+      ;; The rewriter passes aggregate body lits through unchanged
+      ;; (no propagation generated for them), so semi-naive's count
+      ;; logic still fires correctly under the rewritten program.
+      (dl-mt-test! "magic over rule with aggregate body"
+        (let
+          ((db (dl-program
+                 "post(p1). post(p2). post(p3).
+                  liked(u1, p1). liked(u2, p1). liked(u3, p1).
+                  liked(u1, p2).
+                  rich(P) :- post(P), count(N, U, liked(U, P)),
+                             >=(N, 2).")))
+          (let
+            ((semi (dl-query db (list (quote rich) (quote P))))
+              (magic (dl-magic-query db (list (quote rich) (quote P)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; Mixed EDB + IDB: a relation can be both EDB-seeded and
+      ;; rule-derived. dl-magic-query must include the EDB portion
+      ;; even though the relation has rules.
+      (dl-mt-test! "magic mixed EDB+IDB"
+        (len
+          (dl-magic-query
+            (dl-program
+              "link(a, b). link(c, d). link(e, c).
+               via(a, e).
+               link(X, Y) :- via(X, M), link(M, Y).")
+            (list (quote link) (quote a) (quote X))))
+        2)
+
+      ;; dl-magic-query falls back to dl-query for built-in,
+      ;; aggregate, and negation goals (the magic seed would
+      ;; otherwise be non-ground).
+      (dl-mt-test! "magic-query falls back on aggregate"
+        (let
+          ((r (dl-magic-query
+                (dl-program "p(1). p(2). p(3).")
+                (list (quote count) (quote N) (quote X)
+                      (list (quote p) (quote X))))))
+          (and (= (len r) 1) (= (get (first r) "N") 3)))
+        true)
+
+      (dl-mt-test! "magic-query equivalent to dl-query"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c). parent(c, d).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (let
+            ((semi (dl-query db (list (quote ancestor) (quote a) (quote X))))
+              (magic (dl-magic-query
+                       db (list (quote ancestor) (quote a) (quote X)))))
+            (= (len semi) (len magic))))
+        true)
+
+      ;; The magic rewriter passes aggregate body lits through
+      ;; unchanged, so an aggregate over an IDB relation would see an
+      ;; empty inner-goal in the magic db unless the IDB is already
+      ;; materialised. dl-magic-query now pre-saturates the source db
+      ;; to guarantee equivalence with dl-query for every stratified
+      ;; program. Previously this returned `({:N 0})` because `active`
+      ;; (IDB, derived through negation) was never derived in the
+      ;; magic db.
+      (dl-mt-test! "magic over aggregate-of-IDB matches vanilla"
+        (let
+          ((src
+             "u(a). u(b). u(c). u(d). banned(b). banned(d).
+              active(X) :- u(X), not(banned(X)).
+              n(N) :- count(N, X, active(X))."))
+          (let
+            ((vanilla (dl-eval src "?- n(N)."))
+              (magic (dl-eval-magic src "?- n(N).")))
+            (and (= (len vanilla) 1)
+                 (= (len magic) 1)
+                 (= (get (first vanilla) "N")
+                    (get (first magic) "N")))))
+        true)
+
+      ;; magic-query doesn't mutate caller db.
+      (dl-mt-test! "magic-query preserves caller db"
+        (let
+          ((db (dl-program
+                 "parent(a, b). parent(b, c).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (let
+            ((rules-before (len (dl-rules db))))
+            (do
+              (dl-magic-query db (list (quote ancestor) (quote a) (quote X)))
+              (= rules-before (len (dl-rules db))))))
+        true)
+
+      ;; Magic-sets benefit: query touches only one cluster of a
+      ;; multi-component graph. Semi-naive derives the full closure
+      ;; over both clusters; magic only the seeded one.
+      ;; Magic-vs-semi work shape: chain of 12. Semi-naive
+      ;; derives the full closure (78 = 12·13/2). A magic query
+      ;; rooted at node 0 returns the 12 descendants only —
+      ;; demonstrating that magic limits derivation to the
+      ;; query's transitive cone.
+      (dl-mt-test! "magic vs semi work-shape on chain-12"
+        (let
+          ((source (str
+                     "parent(0, 1). parent(1, 2). parent(2, 3). "
+                     "parent(3, 4). parent(4, 5). parent(5, 6). "
+                     "parent(6, 7). parent(7, 8). parent(8, 9). "
+                     "parent(9, 10). parent(10, 11). parent(11, 12). "
+                     "ancestor(X, Y) :- parent(X, Y). "
+                     "ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (let
+            ((db1 (dl-make-db)) (db2 (dl-make-db)))
+            (do
+              (dl-load-program! db1 source)
+              (dl-saturate! db1)
+              (dl-load-program! db2 source)
+              (let
+                ((semi-count (len (dl-relation db1 "ancestor")))
+                  (magic-count
+                    (len (dl-magic-query
+                           db2 (list (quote ancestor) 0 (quote X))))))
+                ;; Magic returns only descendants of 0 (12 of them).
+                (and (= semi-count 78) (= magic-count 12))))))
+        true)
+
+      ;; Magic + arithmetic: rules with `is` clauses pass through
+      ;; the rewriter unchanged (built-ins aren't propagated).
+      (dl-mt-test! "magic preserves arithmetic"
+        (let
+          ((source "n(1). n(2). n(3).
+                    doubled(X, Y) :- n(X), is(Y, *(X, 2))."))
+          (let
+            ((semi (dl-eval source "?- doubled(2, Y)."))
+              (magic (dl-eval-magic source "?- doubled(2, Y).")))
+            (= (len semi) (len magic))))
+        true)
+
+      (dl-mt-test! "magic skips irrelevant clusters"
+        (let
+          ;; Two disjoint chains. Query is rooted in cluster 1.
+          ((db (dl-program
+                 "parent(a, b). parent(b, c).
+                  parent(x, y). parent(y, z).
+                  ancestor(X, Y) :- parent(X, Y).
+                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (do
+            (dl-saturate! db)
+            (let
+              ((semi-count (len (dl-relation db "ancestor")))
+                (magic-results
+                  (dl-magic-query
+                    db (list (quote ancestor) (quote a) (quote X)))))
+              ;; Semi-naive derives 6 (3 in each cluster). Magic
+              ;; gives 3 query results (a's reachable: b, c).
+              (and (= semi-count 6) (= (len magic-results) 2)))))
+        true)
+
+      (dl-mt-test! "magic-rewritten finds same answers"
+        (let
+          ((rules
+             (list
+               {:head (list (quote ancestor) (quote X) (quote Y))
+                :body (list (list (quote parent) (quote X) (quote Y)))}
+               {:head (list (quote ancestor) (quote X) (quote Z))
+                :body
+                (list (list (quote parent) (quote X) (quote Y))
+                      (list (quote ancestor) (quote Y) (quote Z)))}))
+            (edb (list
+                   (list (quote parent) (quote a) (quote b))
+                   (list (quote parent) (quote b) (quote c)))))
+          (let
+            ((rewritten (dl-magic-rewrite rules "ancestor" "bf" (list (quote a))))
+              (db (dl-make-db)))
+            (do
+              (for-each (fn (f) (dl-add-fact! db f)) edb)
+              (dl-add-fact! db (get rewritten :seed))
+              (for-each (fn (r) (dl-add-rule! db r)) (get rewritten :rules))
+              (dl-saturate! db)
+              (len (dl-query db (list (quote ancestor) (quote a) (quote X)))))))
+        2))))
+
+(define
+  dl-magic-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-mt-pass 0)
+      (set! dl-mt-fail 0)
+      (set! dl-mt-failures (list))
+      (dl-mt-run-all!)
+      {:passed dl-mt-pass
+       :failed dl-mt-fail
+       :total (+ dl-mt-pass dl-mt-fail)
+       :failures dl-mt-failures})))

lib/datalog/tests/negation.sx

@@ -0,0 +1,252 @@
+;; lib/datalog/tests/negation.sx — stratified negation tests.
+
+(define dl-nt-pass 0)
+(define dl-nt-fail 0)
+(define dl-nt-failures (list))
+
+(define
+  dl-nt-deep=?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-nt-deq-l? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-nt-deq-d? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-nt-deq-l?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-nt-deep=? (nth a i) (nth b i))) false)
+      (else (dl-nt-deq-l? a b (+ i 1))))))
+
+(define
+  dl-nt-deq-d?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i)))
+         (not (dl-nt-deep=? (get a k) (get b k))))
+        false)
+      (else (dl-nt-deq-d? a b ka (+ i 1))))))
+
+(define
+  dl-nt-set=?
+  (fn
+    (a b)
+    (and
+      (= (len a) (len b))
+      (dl-nt-subset? a b)
+      (dl-nt-subset? b a))))
+
+(define
+  dl-nt-subset?
+  (fn
+    (xs ys)
+    (cond
+      ((= (len xs) 0) true)
+      ((not (dl-nt-contains? ys (first xs))) false)
+      (else (dl-nt-subset? (rest xs) ys)))))
+
+(define
+  dl-nt-contains?
+  (fn
+    (xs target)
+    (cond
+      ((= (len xs) 0) false)
+      ((dl-nt-deep=? (first xs) target) true)
+      (else (dl-nt-contains? (rest xs) target)))))
+
+(define
+  dl-nt-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-nt-deep=? got expected)
+      (set! dl-nt-pass (+ dl-nt-pass 1))
+      (do
+        (set! dl-nt-fail (+ dl-nt-fail 1))
+        (append!
+          dl-nt-failures
+          (str
+            name
+            "\n    expected: " expected
+            "\n    got:      " got))))))
+
+(define
+  dl-nt-test-set!
+  (fn
+    (name got expected)
+    (if
+      (dl-nt-set=? got expected)
+      (set! dl-nt-pass (+ dl-nt-pass 1))
+      (do
+        (set! dl-nt-fail (+ dl-nt-fail 1))
+        (append!
+          dl-nt-failures
+          (str
+            name
+            "\n    expected (set): " expected
+            "\n    got:            " got))))))
+
+(define
+  dl-nt-throws?
+  (fn
+    (thunk)
+    (let
+      ((threw false))
+      (do
+        (guard
+          (e (#t (set! threw true)))
+          (thunk))
+        threw))))
+
+(define
+  dl-nt-run-all!
+  (fn
+    ()
+    (do
+      ;; Negation against EDB-only relation.
+      (dl-nt-test-set! "not against EDB"
+        (dl-query
+          (dl-program
+            "p(1). p(2). p(3). r(2).
+             q(X) :- p(X), not(r(X)).")
+          (list (quote q) (quote X)))
+        (list {:X 1} {:X 3}))
+
+      ;; Negation against derived relation — needs stratification.
+      (dl-nt-test-set! "not against derived rel"
+        (dl-query
+          (dl-program
+            "p(1). p(2). p(3). s(2).
+             r(X) :- s(X).
+             q(X) :- p(X), not(r(X)).")
+          (list (quote q) (quote X)))
+        (list {:X 1} {:X 3}))
+
+      ;; Two-step strata: r derives via s; q derives via not r.
+      (dl-nt-test-set! "two-step strata"
+        (dl-query
+          (dl-program
+            "node(a). node(b). node(c). node(d).
+             edge(a, b). edge(b, c). edge(c, a).
+             reach(X, Y) :- edge(X, Y).
+             reach(X, Z) :- edge(X, Y), reach(Y, Z).
+             unreachable(X) :- node(X), not(reach(a, X)).")
+          (list (quote unreachable) (quote X)))
+        (list {:X (quote d)}))
+
+      ;; Combine negation with arithmetic and comparison.
+      (dl-nt-test-set! "negation with arithmetic"
+        (dl-query
+          (dl-program
+            "n(1). n(2). n(3). n(4). n(5). odd(1). odd(3). odd(5).
+             even(X) :- n(X), not(odd(X)).")
+          (list (quote even) (quote X)))
+        (list {:X 2} {:X 4}))
+
+      ;; Empty negation result.
+      (dl-nt-test-set! "negation always succeeds"
+        (dl-query
+          (dl-program
+            "p(1). p(2). q(X) :- p(X), not(r(X)).")
+          (list (quote q) (quote X)))
+        (list {:X 1} {:X 2}))
+
+      ;; Negation always fails.
+      (dl-nt-test-set! "negation always fails"
+        (dl-query
+          (dl-program
+            "p(1). p(2). r(1). r(2). q(X) :- p(X), not(r(X)).")
+          (list (quote q) (quote X)))
+        (list))
+
+      ;; Anonymous `_` in a negated literal is existentially quantified
+      ;; — it doesn't need to be bound by an earlier body lit. Without
+      ;; this exemption the safety check would reject the common idiom
+      ;; `orphan(X) :- person(X), not(parent(X, _))`.
+      (dl-nt-test-set! "negation with anonymous var — orphan idiom"
+        (dl-query
+          (dl-program
+            "person(a). person(b). person(c). parent(a, b).
+             orphan(X) :- person(X), not(parent(X, _)).")
+          (list (quote orphan) (quote X)))
+        (list {:X (quote b)} {:X (quote c)}))
+
+      ;; Multiple anonymous vars are each independently existential.
+      (dl-nt-test-set! "negation with multiple anonymous vars"
+        (dl-query
+          (dl-program
+            "u(a). u(b). u(c). edge(a, x). edge(b, y).
+             solo(X) :- u(X), not(edge(X, _)).")
+          (list (quote solo) (quote X)))
+        (list {:X (quote c)}))
+
+      ;; Stratifiability checks.
+      (dl-nt-test! "non-stratifiable rejected"
+        (dl-nt-throws?
+          (fn ()
+            (let ((db (dl-make-db)))
+              (do
+                (dl-add-rule!
+                  db
+                  {:head (list (quote p) (quote X))
+                   :body (list (list (quote q) (quote X))
+                               {:neg (list (quote r) (quote X))})})
+                (dl-add-rule!
+                  db
+                  {:head (list (quote r) (quote X))
+                   :body (list (list (quote p) (quote X)))})
+                (dl-add-fact! db (list (quote q) 1))
+                (dl-saturate! db)))))
+        true)
+
+      (dl-nt-test! "stratifiable accepted"
+        (dl-nt-throws?
+          (fn ()
+            (dl-program
+              "p(1). p(2). r(2).
+               q(X) :- p(X), not(r(X)).")))
+        false)
+
+      ;; Multi-stratum chain.
+      (dl-nt-test-set! "three-level strata"
+        (dl-query
+          (dl-program
+            "a(1). a(2). a(3). a(4).
+             b(X) :- a(X), not(c(X)).
+             c(X) :- d(X).
+             d(2).
+             d(4).")
+          (list (quote b) (quote X)))
+        (list {:X 1} {:X 3}))
+
+      ;; Safety violation: negation refers to unbound var.
+      (dl-nt-test! "negation safety violation"
+        (dl-nt-throws?
+          (fn ()
+            (dl-program
+              "p(1). q(X) :- p(X), not(r(Y)).")))
+        true))))
+
+(define
+  dl-negation-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-nt-pass 0)
+      (set! dl-nt-fail 0)
+      (set! dl-nt-failures (list))
+      (dl-nt-run-all!)
+      {:passed dl-nt-pass
+       :failed dl-nt-fail
+       :total (+ dl-nt-pass dl-nt-fail)
+       :failures dl-nt-failures})))

lib/datalog/tests/parse.sx

@@ -0,0 +1,179 @@
+;; lib/datalog/tests/parse.sx — parser unit tests
+;;
+;; Run via: bash lib/datalog/conformance.sh
+;; Or:      (load "lib/datalog/tokenizer.sx") (load "lib/datalog/parser.sx")
+;;          (load "lib/datalog/tests/parse.sx") (dl-parse-tests-run!)
+
+(define dl-pt-pass 0)
+(define dl-pt-fail 0)
+(define dl-pt-failures (list))
+
+;; Order-independent structural equality. Lists compared positionally,
+;; dicts as sets of (key, value) pairs. Numbers via = (so 30.0 = 30).
+(define
+  dl-deep-equal?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-deep-equal-list? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let
+          ((ka (keys a)) (kb (keys b)))
+          (and
+            (= (len ka) (len kb))
+            (dl-deep-equal-dict? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-deep-equal-list?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-deep-equal? (nth a i) (nth b i))) false)
+      (else (dl-deep-equal-list? a b (+ i 1))))))
+
+(define
+  dl-deep-equal-dict?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i))) (not (dl-deep-equal? (get a k) (get b k))))
+        false)
+      (else (dl-deep-equal-dict? a b ka (+ i 1))))))
+
+(define
+  dl-pt-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-deep-equal? got expected)
+      (set! dl-pt-pass (+ dl-pt-pass 1))
+      (do
+        (set! dl-pt-fail (+ dl-pt-fail 1))
+        (append!
+          dl-pt-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+(define
+  dl-pt-throws?
+  (fn
+    (thunk)
+    (let
+      ((threw false))
+      (do (guard (e (#t (set! threw true))) (thunk)) threw))))
+
+(define
+  dl-pt-run-all!
+  (fn
+    ()
+    (do
+      (dl-pt-test! "empty program" (dl-parse "") (list))
+      (dl-pt-test! "fact" (dl-parse "parent(tom, bob).") (list {:body (list) :head (list (quote parent) (quote tom) (quote bob))}))
+      (dl-pt-test!
+        "two facts"
+        (dl-parse "parent(tom, bob). parent(bob, ann).")
+        (list {:body (list) :head (list (quote parent) (quote tom) (quote bob))} {:body (list) :head (list (quote parent) (quote bob) (quote ann))}))
+      (dl-pt-test! "zero-ary fact" (dl-parse "ready.") (list {:body (list) :head (list (quote ready))}))
+      (dl-pt-test!
+        "rule one body lit"
+        (dl-parse "ancestor(X, Y) :- parent(X, Y).")
+        (list {:body (list (list (quote parent) (quote X) (quote Y))) :head (list (quote ancestor) (quote X) (quote Y))}))
+      (dl-pt-test!
+        "recursive rule"
+        (dl-parse "ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")
+        (list {:body (list (list (quote parent) (quote X) (quote Y)) (list (quote ancestor) (quote Y) (quote Z))) :head (list (quote ancestor) (quote X) (quote Z))}))
+      (dl-pt-test!
+        "query single"
+        (dl-parse "?- ancestor(tom, X).")
+        (list {:query (list (list (quote ancestor) (quote tom) (quote X)))}))
+      (dl-pt-test!
+        "query multi"
+        (dl-parse "?- p(X), q(X).")
+        (list {:query (list (list (quote p) (quote X)) (list (quote q) (quote X)))}))
+      (dl-pt-test!
+        "negation"
+        (dl-parse "safe(X) :- person(X), not(parent(X, _)).")
+        (list {:body (list (list (quote person) (quote X)) {:neg (list (quote parent) (quote X) (quote _))}) :head (list (quote safe) (quote X))}))
+      (dl-pt-test!
+        "number arg"
+        (dl-parse "age(alice, 30).")
+        (list {:body (list) :head (list (quote age) (quote alice) 30)}))
+      (dl-pt-test!
+        "string arg"
+        (dl-parse "label(x, \"hi\").")
+        (list {:body (list) :head (list (quote label) (quote x) "hi")}))
+      ;; Quoted 'atoms' parse as strings — a uppercase-starting name
+      ;; in quotes used to misclassify as a variable and reject the
+      ;; fact as non-ground.
+      (dl-pt-test!
+        "quoted atom arg parses as string"
+        (dl-parse "p('Hello World').")
+        (list {:body (list) :head (list (quote p) "Hello World")}))
+      (dl-pt-test!
+        "comparison literal"
+        (dl-parse "p(X) :- <(X, 5).")
+        (list {:body (list (list (string->symbol "<") (quote X) 5)) :head (list (quote p) (quote X))}))
+      (dl-pt-test!
+        "is with arith"
+        (dl-parse "succ(X, Y) :- nat(X), is(Y, +(X, 1)).")
+        (list {:body (list (list (quote nat) (quote X)) (list (quote is) (quote Y) (list (string->symbol "+") (quote X) 1))) :head (list (quote succ) (quote X) (quote Y))}))
+      (dl-pt-test!
+        "mixed program"
+        (dl-parse "p(a). p(b). q(X) :- p(X). ?- q(Y).")
+        (list {:body (list) :head (list (quote p) (quote a))} {:body (list) :head (list (quote p) (quote b))} {:body (list (list (quote p) (quote X))) :head (list (quote q) (quote X))} {:query (list (list (quote q) (quote Y)))}))
+      (dl-pt-test!
+        "comments skipped"
+        (dl-parse "% comment\nfoo(a).\n/* block */ bar(b).")
+        (list {:body (list) :head (list (quote foo) (quote a))} {:body (list) :head (list (quote bar) (quote b))}))
+      (dl-pt-test!
+        "underscore var"
+        (dl-parse "p(X) :- q(X, _).")
+        (list {:body (list (list (quote q) (quote X) (quote _))) :head (list (quote p) (quote X))}))
+      ;; Negative number literals parse as one negative number,
+      ;; while subtraction (`-(X, Y)`) compound is preserved.
+      (dl-pt-test!
+        "negative integer literal"
+        (dl-parse "n(-3).")
+        (list {:head (list (quote n) -3) :body (list)}))
+
+      (dl-pt-test!
+        "subtraction compound preserved"
+        (dl-parse "r(X) :- is(X, -(10, 3)).")
+        (list
+          {:head (list (quote r) (quote X))
+           :body (list (list (quote is) (quote X)
+                             (list (string->symbol "-") 10 3)))}))
+
+      (dl-pt-test!
+        "number as relation name raises"
+        (dl-pt-throws? (fn () (dl-parse "1(X) :- p(X).")))
+        true)
+
+      (dl-pt-test!
+        "var as relation name raises"
+        (dl-pt-throws? (fn () (dl-parse "P(X).")))
+        true)
+
+      (dl-pt-test!
+        "missing dot raises"
+        (dl-pt-throws? (fn () (dl-parse "p(a)")))
+        true)
+      (dl-pt-test!
+        "trailing comma raises"
+        (dl-pt-throws? (fn () (dl-parse "p(a,).")))
+        true))))
+
+(define
+  dl-parse-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-pt-pass 0)
+      (set! dl-pt-fail 0)
+      (set! dl-pt-failures (list))
+      (dl-pt-run-all!)
+      {:failures dl-pt-failures :total (+ dl-pt-pass dl-pt-fail) :passed dl-pt-pass :failed dl-pt-fail})))

lib/datalog/tests/semi_naive.sx

@@ -0,0 +1,153 @@
+;; lib/datalog/tests/semi_naive.sx — semi-naive correctness vs naive.
+;;
+;; Strategy: differential — run both saturators on each program and
+;; compare the resulting per-relation tuple counts. Counting (not
+;; element-wise set equality) keeps the suite fast under the bundled
+;; conformance session; correctness on the inhabitants is covered by
+;; eval.sx and builtins.sx (which use dl-saturate! by default — the
+;; semi-naive saturator).
+
+(define dl-sn-pass 0)
+(define dl-sn-fail 0)
+(define dl-sn-failures (list))
+
+(define
+  dl-sn-test!
+  (fn
+    (name got expected)
+    (if
+      (equal? got expected)
+      (set! dl-sn-pass (+ dl-sn-pass 1))
+      (do
+        (set! dl-sn-fail (+ dl-sn-fail 1))
+        (append!
+          dl-sn-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+;; Load `source` into both a semi-naive and a naive db and return a
+;; list of (rel-name semi-count naive-count) triples. Both sets must
+;; have the same union of relation names.
+(define
+  dl-sn-counts
+  (fn
+    (source)
+    (let
+      ((db-s (dl-program source)) (db-n (dl-program source)))
+      (do
+        (dl-saturate! db-s)
+        (dl-saturate-naive! db-n)
+        (let
+          ((out (list)))
+          (do
+            (for-each
+              (fn
+                (k)
+                (append!
+                  out
+                  (list
+                    k
+                    (len (dl-relation db-s k))
+                    (len (dl-relation db-n k)))))
+              (keys (get db-s :facts)))
+            out))))))
+
+(define
+  dl-sn-counts-agree?
+  (fn
+    (counts)
+    (cond
+      ((= (len counts) 0) true)
+      (else
+        (let
+          ((row (first counts)))
+          (and
+            (= (nth row 1) (nth row 2))
+            (dl-sn-counts-agree? (rest counts))))))))
+
+(define
+  dl-sn-chain-source
+  (fn
+    (n)
+    (let
+      ((parts (list "")))
+      (do
+        (define
+          dl-sn-loop
+          (fn
+            (i)
+            (when
+              (< i n)
+              (do
+                (append! parts (str "parent(" i ", " (+ i 1) "). "))
+                (dl-sn-loop (+ i 1))))))
+        (dl-sn-loop 0)
+        (str
+          (join "" parts)
+          "ancestor(X, Y) :- parent(X, Y). "
+          "ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))))
+
+(define
+  dl-sn-run-all!
+  (fn
+    ()
+    (do
+      (dl-sn-test!
+        "ancestor closure counts match"
+        (dl-sn-counts-agree?
+          (dl-sn-counts
+            "parent(a, b). parent(b, c). parent(c, d).\n             ancestor(X, Y) :- parent(X, Y).\n             ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z)."))
+        true)
+      (dl-sn-test!
+        "cyclic reach counts match"
+        (dl-sn-counts-agree?
+          (dl-sn-counts
+            "edge(1, 2). edge(2, 3). edge(3, 1). edge(3, 4).\n             reach(X, Y) :- edge(X, Y).\n             reach(X, Z) :- edge(X, Y), reach(Y, Z)."))
+        true)
+      (dl-sn-test!
+        "same-gen counts match"
+        (dl-sn-counts-agree?
+          (dl-sn-counts
+            "parent(a, b). parent(a, c). parent(b, d). parent(c, e).\n             person(a). person(b). person(c). person(d). person(e).\n             sg(X, X) :- person(X).\n             sg(X, Y) :- parent(P1, X), sg(P1, P2), parent(P2, Y)."))
+        true)
+      (dl-sn-test!
+        "rules with builtins counts match"
+        (dl-sn-counts-agree?
+          (dl-sn-counts
+            "n(1). n(2). n(3). n(4). n(5).\n             small(X) :- n(X), <(X, 5).\n             succ(X, Y) :- n(X), <(X, 5), is(Y, +(X, 1))."))
+        true)
+      (dl-sn-test!
+        "static rule fires under semi-naive"
+        (dl-sn-counts-agree?
+          (dl-sn-counts "p(a). p(b). q(X) :- p(X), =(X, a)."))
+        true)
+      ;; Chain length 12 — multiple semi-naive iterations against
+      ;; the recursive ancestor rule (differential vs naive).
+      (dl-sn-test!
+        "chain-12 ancestor counts match"
+        (dl-sn-counts-agree? (dl-sn-counts (dl-sn-chain-source 12)))
+        true)
+      ;; Chain length 25 — semi-naive only — first-arg index makes
+      ;; this tractable in conformance budget.
+      (dl-sn-test!
+        "chain-25 ancestor count value (semi only)"
+        (let
+          ((db (dl-program (dl-sn-chain-source 25))))
+          (do (dl-saturate! db) (len (dl-relation db "ancestor"))))
+        325)
+      (dl-sn-test!
+        "query through semi saturate"
+        (let
+          ((db (dl-program "parent(a, b). parent(b, c).\n                  ancestor(X, Y) :- parent(X, Y).\n                  ancestor(X, Z) :- parent(X, Y), ancestor(Y, Z).")))
+          (len (dl-query db (list (quote ancestor) (quote a) (quote X)))))
+        2))))
+
+(define
+  dl-semi-naive-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-sn-pass 0)
+      (set! dl-sn-fail 0)
+      (set! dl-sn-failures (list))
+      (dl-sn-run-all!)
+      {:failures dl-sn-failures :total (+ dl-sn-pass dl-sn-fail) :passed dl-sn-pass :failed dl-sn-fail})))

lib/datalog/tests/tokenize.sx

@@ -0,0 +1,189 @@
+;; lib/datalog/tests/tokenize.sx — tokenizer unit tests
+;;
+;; Run via: bash lib/datalog/conformance.sh
+;; Or:      (load "lib/datalog/tokenizer.sx") (load "lib/datalog/tests/tokenize.sx")
+;;          (dl-tokenize-tests-run!)
+
+(define dl-tk-pass 0)
+(define dl-tk-fail 0)
+(define dl-tk-failures (list))
+
+(define
+  dl-tk-test!
+  (fn
+    (name got expected)
+    (if
+      (= got expected)
+      (set! dl-tk-pass (+ dl-tk-pass 1))
+      (do
+        (set! dl-tk-fail (+ dl-tk-fail 1))
+        (append!
+          dl-tk-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+(define dl-tk-types (fn (toks) (map (fn (t) (get t :type)) toks)))
+(define dl-tk-values (fn (toks) (map (fn (t) (get t :value)) toks)))
+
+(define
+  dl-tk-run-all!
+  (fn
+    ()
+    (do
+      (dl-tk-test! "empty" (dl-tk-types (dl-tokenize "")) (list "eof"))
+      (dl-tk-test!
+        "atom dot"
+        (dl-tk-types (dl-tokenize "foo."))
+        (list "atom" "punct" "eof"))
+      (dl-tk-test!
+        "atom dot value"
+        (dl-tk-values (dl-tokenize "foo."))
+        (list "foo" "." nil))
+      (dl-tk-test!
+        "var"
+        (dl-tk-types (dl-tokenize "X."))
+        (list "var" "punct" "eof"))
+      (dl-tk-test!
+        "underscore var"
+        (dl-tk-types (dl-tokenize "_x."))
+        (list "var" "punct" "eof"))
+      (dl-tk-test!
+        "integer"
+        (dl-tk-values (dl-tokenize "42"))
+        (list 42 nil))
+      (dl-tk-test!
+        "decimal"
+        (dl-tk-values (dl-tokenize "3.14"))
+        (list 3.14 nil))
+      (dl-tk-test!
+        "string"
+        (dl-tk-values (dl-tokenize "\"hello\""))
+        (list "hello" nil))
+      ;; Quoted 'atoms' tokenize as strings — see the type-table
+      ;; comment in lib/datalog/tokenizer.sx for the rationale.
+      (dl-tk-test!
+        "quoted atom as string"
+        (dl-tk-types (dl-tokenize "'two words'"))
+        (list "string" "eof"))
+      (dl-tk-test!
+        "quoted atom value"
+        (dl-tk-values (dl-tokenize "'two words'"))
+        (list "two words" nil))
+      ;; A quoted atom whose name would otherwise be a variable
+      ;; (uppercase / leading underscore) is now safely a string —
+      ;; this was the bug that motivated the type change.
+      (dl-tk-test!
+        "quoted Uppercase as string"
+        (dl-tk-types (dl-tokenize "'Hello'"))
+        (list "string" "eof"))
+      (dl-tk-test! ":-" (dl-tk-values (dl-tokenize ":-")) (list ":-" nil))
+      (dl-tk-test! "?-" (dl-tk-values (dl-tokenize "?-")) (list "?-" nil))
+      (dl-tk-test! "<=" (dl-tk-values (dl-tokenize "<=")) (list "<=" nil))
+      (dl-tk-test! ">=" (dl-tk-values (dl-tokenize ">=")) (list ">=" nil))
+      (dl-tk-test! "!=" (dl-tk-values (dl-tokenize "!=")) (list "!=" nil))
+      (dl-tk-test!
+        "single op values"
+        (dl-tk-values (dl-tokenize "< > = + - * /"))
+        (list "<" ">" "=" "+" "-" "*" "/" nil))
+      (dl-tk-test!
+        "single op types"
+        (dl-tk-types (dl-tokenize "< > = + - * /"))
+        (list "op" "op" "op" "op" "op" "op" "op" "eof"))
+      (dl-tk-test!
+        "punct"
+        (dl-tk-values (dl-tokenize "( ) , ."))
+        (list "(" ")" "," "." nil))
+      (dl-tk-test!
+        "fact tokens"
+        (dl-tk-types (dl-tokenize "parent(tom, bob)."))
+        (list "atom" "punct" "atom" "punct" "atom" "punct" "punct" "eof"))
+      (dl-tk-test!
+        "rule shape"
+        (dl-tk-types (dl-tokenize "p(X) :- q(X)."))
+        (list
+          "atom"
+          "punct"
+          "var"
+          "punct"
+          "op"
+          "atom"
+          "punct"
+          "var"
+          "punct"
+          "punct"
+          "eof"))
+      (dl-tk-test!
+        "comparison literal"
+        (dl-tk-values (dl-tokenize "<(X, 5)"))
+        (list "<" "(" "X" "," 5 ")" nil))
+      (dl-tk-test!
+        "is form"
+        (dl-tk-values (dl-tokenize "is(Y, +(X, 1))"))
+        (list "is" "(" "Y" "," "+" "(" "X" "," 1 ")" ")" nil))
+      (dl-tk-test!
+        "line comment"
+        (dl-tk-types (dl-tokenize "% comment line\nfoo."))
+        (list "atom" "punct" "eof"))
+      (dl-tk-test!
+        "block comment"
+        (dl-tk-types (dl-tokenize "/* a\nb */ x."))
+        (list "atom" "punct" "eof"))
+      ;; Unexpected characters surface at tokenize time rather
+      ;; than being silently consumed (previously `?(X)` parsed as
+      ;; if the leading `?` weren't there).
+      (dl-tk-test!
+        "unexpected char raises"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-tokenize "?(X)"))
+            threw))
+        true)
+
+      ;; Unterminated string / quoted-atom must raise.
+      (dl-tk-test!
+        "unterminated string raises"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-tokenize "\"unclosed"))
+            threw))
+        true)
+
+      (dl-tk-test!
+        "unterminated quoted atom raises"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-tokenize "'unclosed"))
+            threw))
+        true)
+
+      ;; Unterminated block comment must raise — previously it was
+      ;; silently consumed to EOF.
+      (dl-tk-test!
+        "unterminated block comment raises"
+        (let ((threw false))
+          (do
+            (guard (e (#t (set! threw true)))
+              (dl-tokenize "/* unclosed comment"))
+            threw))
+        true)
+      (dl-tk-test!
+        "whitespace"
+        (dl-tk-types (dl-tokenize "  foo  ,\t bar  ."))
+        (list "atom" "punct" "atom" "punct" "eof"))
+      (dl-tk-test!
+        "positions"
+        (map (fn (t) (get t :pos)) (dl-tokenize "foo bar"))
+        (list 0 4 7)))))
+
+(define
+  dl-tokenize-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-tk-pass 0)
+      (set! dl-tk-fail 0)
+      (set! dl-tk-failures (list))
+      (dl-tk-run-all!)
+      {:failures dl-tk-failures :total (+ dl-tk-pass dl-tk-fail) :passed dl-tk-pass :failed dl-tk-fail})))

lib/datalog/tests/unify.sx

@@ -0,0 +1,194 @@
+;; lib/datalog/tests/unify.sx — unification + substitution tests.
+
+(define dl-ut-pass 0)
+(define dl-ut-fail 0)
+(define dl-ut-failures (list))
+
+(define
+  dl-ut-deep-equal?
+  (fn
+    (a b)
+    (cond
+      ((and (list? a) (list? b))
+        (and (= (len a) (len b)) (dl-ut-deq-list? a b 0)))
+      ((and (dict? a) (dict? b))
+        (let
+          ((ka (keys a)) (kb (keys b)))
+          (and (= (len ka) (len kb)) (dl-ut-deq-dict? a b ka 0))))
+      ((and (number? a) (number? b)) (= a b))
+      (else (equal? a b)))))
+
+(define
+  dl-ut-deq-list?
+  (fn
+    (a b i)
+    (cond
+      ((>= i (len a)) true)
+      ((not (dl-ut-deep-equal? (nth a i) (nth b i))) false)
+      (else (dl-ut-deq-list? a b (+ i 1))))))
+
+(define
+  dl-ut-deq-dict?
+  (fn
+    (a b ka i)
+    (cond
+      ((>= i (len ka)) true)
+      ((let ((k (nth ka i))) (not (dl-ut-deep-equal? (get a k) (get b k))))
+        false)
+      (else (dl-ut-deq-dict? a b ka (+ i 1))))))
+
+(define
+  dl-ut-test!
+  (fn
+    (name got expected)
+    (if
+      (dl-ut-deep-equal? got expected)
+      (set! dl-ut-pass (+ dl-ut-pass 1))
+      (do
+        (set! dl-ut-fail (+ dl-ut-fail 1))
+        (append!
+          dl-ut-failures
+          (str name "\n    expected: " expected "\n    got:      " got))))))
+
+(define
+  dl-ut-run-all!
+  (fn
+    ()
+    (do
+      (dl-ut-test! "var? uppercase" (dl-var? (quote X)) true)
+      (dl-ut-test! "var? underscore" (dl-var? (quote _foo)) true)
+      (dl-ut-test! "var? lowercase" (dl-var? (quote tom)) false)
+      (dl-ut-test! "var? number" (dl-var? 5) false)
+      (dl-ut-test! "var? string" (dl-var? "hi") false)
+      (dl-ut-test! "var? list" (dl-var? (list 1)) false)
+      (dl-ut-test!
+        "atom-atom match"
+        (dl-unify (quote tom) (quote tom) (dl-empty-subst))
+        {})
+      (dl-ut-test!
+        "atom-atom fail"
+        (dl-unify (quote tom) (quote bob) (dl-empty-subst))
+        nil)
+      (dl-ut-test!
+        "num-num match"
+        (dl-unify 5 5 (dl-empty-subst))
+        {})
+      (dl-ut-test!
+        "num-num fail"
+        (dl-unify 5 6 (dl-empty-subst))
+        nil)
+      (dl-ut-test!
+        "string match"
+        (dl-unify "hi" "hi" (dl-empty-subst))
+        {})
+      (dl-ut-test! "string fail" (dl-unify "hi" "bye" (dl-empty-subst)) nil)
+      (dl-ut-test!
+        "var-atom binds"
+        (dl-unify (quote X) (quote tom) (dl-empty-subst))
+        {:X (quote tom)})
+      (dl-ut-test!
+        "atom-var binds"
+        (dl-unify (quote tom) (quote X) (dl-empty-subst))
+        {:X (quote tom)})
+      (dl-ut-test!
+        "var-var same"
+        (dl-unify (quote X) (quote X) (dl-empty-subst))
+        {})
+      (dl-ut-test!
+        "var-var bind"
+        (let
+          ((s (dl-unify (quote X) (quote Y) (dl-empty-subst))))
+          (dl-walk (quote X) s))
+        (quote Y))
+      (dl-ut-test!
+        "tuple match"
+        (dl-unify
+          (list (quote parent) (quote X) (quote bob))
+          (list (quote parent) (quote tom) (quote Y))
+          (dl-empty-subst))
+        {:X (quote tom) :Y (quote bob)})
+      (dl-ut-test!
+        "tuple arity mismatch"
+        (dl-unify
+          (list (quote p) (quote X))
+          (list (quote p) (quote a) (quote b))
+          (dl-empty-subst))
+        nil)
+      (dl-ut-test!
+        "tuple head mismatch"
+        (dl-unify
+          (list (quote p) (quote X))
+          (list (quote q) (quote X))
+          (dl-empty-subst))
+        nil)
+      (dl-ut-test!
+        "walk chain"
+        (let
+          ((s1 (dl-unify (quote X) (quote Y) (dl-empty-subst))))
+          (let
+            ((s2 (dl-unify (quote Y) (quote tom) s1)))
+            (dl-walk (quote X) s2)))
+        (quote tom))
+
+      ;; Walk with circular substitution must not infinite-loop.
+      ;; Cycles return the current term unchanged.
+      (dl-ut-test!
+        "walk circular subst no hang"
+        (let ((s (dl-bind (quote B) (quote A)
+                   (dl-bind (quote A) (quote B) (dl-empty-subst)))))
+          (dl-walk (quote A) s))
+        (quote A))
+      (dl-ut-test!
+        "apply subst on tuple"
+        (let
+          ((s (dl-bind (quote X) (quote tom) (dl-empty-subst))))
+          (dl-apply-subst (list (quote parent) (quote X) (quote Y)) s))
+        (list (quote parent) (quote tom) (quote Y)))
+      (dl-ut-test!
+        "ground? all const"
+        (dl-ground?
+          (list (quote p) (quote tom) 5)
+          (dl-empty-subst))
+        true)
+      (dl-ut-test!
+        "ground? unbound var"
+        (dl-ground? (list (quote p) (quote X)) (dl-empty-subst))
+        false)
+      (dl-ut-test!
+        "ground? bound var"
+        (let
+          ((s (dl-bind (quote X) (quote tom) (dl-empty-subst))))
+          (dl-ground? (list (quote p) (quote X)) s))
+        true)
+      (dl-ut-test!
+        "ground? bare var"
+        (dl-ground? (quote X) (dl-empty-subst))
+        false)
+      (dl-ut-test!
+        "vars-of basic"
+        (dl-vars-of
+          (list (quote p) (quote X) (quote tom) (quote Y) (quote X)))
+        (list "X" "Y"))
+      (dl-ut-test!
+        "vars-of ground"
+        (dl-vars-of (list (quote p) (quote tom) (quote bob)))
+        (list))
+      (dl-ut-test!
+        "vars-of nested compound"
+        (dl-vars-of
+          (list
+            (quote is)
+            (quote Z)
+            (list (string->symbol "+") (quote X) 1)))
+        (list "Z" "X")))))
+
+(define
+  dl-unify-tests-run!
+  (fn
+    ()
+    (do
+      (set! dl-ut-pass 0)
+      (set! dl-ut-fail 0)
+      (set! dl-ut-failures (list))
+      (dl-ut-run-all!)
+      {:failures dl-ut-failures :total (+ dl-ut-pass dl-ut-fail) :passed dl-ut-pass :failed dl-ut-fail})))

lib/datalog/tokenizer.sx

@@ -0,0 +1,269 @@
+;; lib/datalog/tokenizer.sx — Datalog source → token stream
+;;
+;; Tokens: {:type T :value V :pos P}
+;; Types:
+;;   "atom"    — lowercase-start bare identifier
+;;   "var"     — uppercase-start or _-start ident (value is the name)
+;;   "number"  — numeric literal (decoded to number)
+;;   "string"  — "..." string literal OR quoted 'atom' (treated as a
+;;               string value to avoid the var-vs-atom ambiguity that
+;;               would arise from a quoted atom whose name starts with
+;;               an uppercase letter or underscore)
+;;   "punct"   — ( ) , .
+;;   "op"      — :- ?- <= >= != < > = + - * /
+;;   "eof"
+;;
+;; Datalog has no function symbols in arg position; the parser still
+;; accepts nested compounds for arithmetic ((is X (+ A B))) but safety
+;; analysis rejects non-arithmetic nesting at rule-load time.
+
+(define dl-make-token (fn (type value pos) {:type type :value value :pos pos}))
+
+(define dl-digit? (fn (c) (and (>= c "0") (<= c "9"))))
+(define dl-lower? (fn (c) (and (>= c "a") (<= c "z"))))
+(define dl-upper? (fn (c) (and (>= c "A") (<= c "Z"))))
+
+(define
+  dl-ident-char?
+  (fn (c) (or (dl-lower? c) (dl-upper? c) (dl-digit? c) (= c "_"))))
+
+(define dl-ws? (fn (c) (or (= c " ") (= c "\t") (= c "\n") (= c "\r"))))
+
+(define
+  dl-tokenize
+  (fn
+    (src)
+    (let
+      ((tokens (list)) (pos 0) (src-len (len src)))
+      (define
+        dl-peek
+        (fn
+          (offset)
+          (if (< (+ pos offset) src-len) (nth src (+ pos offset)) nil)))
+      (define cur (fn () (dl-peek 0)))
+      (define advance! (fn (n) (set! pos (+ pos n))))
+      (define
+        at?
+        (fn
+          (s)
+          (let
+            ((sl (len s)))
+            (and (<= (+ pos sl) src-len) (= (slice src pos (+ pos sl)) s)))))
+      (define
+        dl-emit!
+        (fn
+          (type value start)
+          (append! tokens (dl-make-token type value start))))
+      (define
+        skip-line-comment!
+        (fn
+          ()
+          (when
+            (and (< pos src-len) (not (= (cur) "\n")))
+            (do (advance! 1) (skip-line-comment!)))))
+      (define
+        skip-block-comment!
+        (fn
+          ()
+          (cond
+            ((>= pos src-len)
+              (error (str "Tokenizer: unterminated block comment "
+                          "(started at position " pos ")")))
+            ((and (= (cur) "*") (< (+ pos 1) src-len) (= (dl-peek 1) "/"))
+              (advance! 2))
+            (else (do (advance! 1) (skip-block-comment!))))))
+      (define
+        skip-ws!
+        (fn
+          ()
+          (cond
+            ((>= pos src-len) nil)
+            ((dl-ws? (cur)) (do (advance! 1) (skip-ws!)))
+            ((= (cur) "%")
+              (do (advance! 1) (skip-line-comment!) (skip-ws!)))
+            ((and (= (cur) "/") (< (+ pos 1) src-len) (= (dl-peek 1) "*"))
+              (do (advance! 2) (skip-block-comment!) (skip-ws!)))
+            (else nil))))
+      (define
+        read-ident
+        (fn
+          (start)
+          (do
+            (when
+              (and (< pos src-len) (dl-ident-char? (cur)))
+              (do (advance! 1) (read-ident start)))
+            (slice src start pos))))
+      (define
+        read-decimal-digits!
+        (fn
+          ()
+          (when
+            (and (< pos src-len) (dl-digit? (cur)))
+            (do (advance! 1) (read-decimal-digits!)))))
+      (define
+        read-number
+        (fn
+          (start)
+          (do
+            (read-decimal-digits!)
+            (when
+              (and
+                (< pos src-len)
+                (= (cur) ".")
+                (< (+ pos 1) src-len)
+                (dl-digit? (dl-peek 1)))
+              (do (advance! 1) (read-decimal-digits!)))
+            (parse-number (slice src start pos)))))
+      (define
+        read-quoted
+        (fn
+          (quote-char)
+          (let
+            ((chars (list)))
+            (advance! 1)
+            (define
+              loop
+              (fn
+                ()
+                (cond
+                  ((>= pos src-len)
+                    (error
+                      (str "Tokenizer: unterminated "
+                           (if (= quote-char "'") "quoted atom" "string")
+                           " (started near position " pos ")")))
+                  ((= (cur) "\\")
+                    (do
+                      (advance! 1)
+                      (when
+                        (< pos src-len)
+                        (let
+                          ((ch (cur)))
+                          (do
+                            (cond
+                              ((= ch "n") (append! chars "\n"))
+                              ((= ch "t") (append! chars "\t"))
+                              ((= ch "r") (append! chars "\r"))
+                              ((= ch "\\") (append! chars "\\"))
+                              ((= ch "'") (append! chars "'"))
+                              ((= ch "\"") (append! chars "\""))
+                              (else (append! chars ch)))
+                            (advance! 1))))
+                      (loop)))
+                  ((= (cur) quote-char) (advance! 1))
+                  (else
+                    (do (append! chars (cur)) (advance! 1) (loop))))))
+            (loop)
+            (join "" chars))))
+      (define
+        scan!
+        (fn
+          ()
+          (do
+            (skip-ws!)
+            (when
+              (< pos src-len)
+              (let
+                ((ch (cur)) (start pos))
+                (cond
+                  ((at? ":-")
+                    (do
+                      (dl-emit! "op" ":-" start)
+                      (advance! 2)
+                      (scan!)))
+                  ((at? "?-")
+                    (do
+                      (dl-emit! "op" "?-" start)
+                      (advance! 2)
+                      (scan!)))
+                  ((at? "<=")
+                    (do
+                      (dl-emit! "op" "<=" start)
+                      (advance! 2)
+                      (scan!)))
+                  ((at? ">=")
+                    (do
+                      (dl-emit! "op" ">=" start)
+                      (advance! 2)
+                      (scan!)))
+                  ((at? "!=")
+                    (do
+                      (dl-emit! "op" "!=" start)
+                      (advance! 2)
+                      (scan!)))
+                  ((dl-digit? ch)
+                    (do
+                      (dl-emit! "number" (read-number start) start)
+                      (scan!)))
+                  ((= ch "'")
+                    ;; Quoted 'atoms' tokenize as strings so a name
+                    ;; like 'Hello World' doesn't get misclassified
+                    ;; as a variable by dl-var? (which inspects the
+                    ;; symbol's first character).
+                    (do (dl-emit! "string" (read-quoted "'") start) (scan!)))
+                  ((= ch "\"")
+                    (do (dl-emit! "string" (read-quoted "\"") start) (scan!)))
+                  ((dl-lower? ch)
+                    (do (dl-emit! "atom" (read-ident start) start) (scan!)))
+                  ((or (dl-upper? ch) (= ch "_"))
+                    (do (dl-emit! "var" (read-ident start) start) (scan!)))
+                  ((= ch "(")
+                    (do
+                      (dl-emit! "punct" "(" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch ")")
+                    (do
+                      (dl-emit! "punct" ")" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch ",")
+                    (do
+                      (dl-emit! "punct" "," start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch ".")
+                    (do
+                      (dl-emit! "punct" "." start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "<")
+                    (do
+                      (dl-emit! "op" "<" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch ">")
+                    (do
+                      (dl-emit! "op" ">" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "=")
+                    (do
+                      (dl-emit! "op" "=" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "+")
+                    (do
+                      (dl-emit! "op" "+" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "-")
+                    (do
+                      (dl-emit! "op" "-" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "*")
+                    (do
+                      (dl-emit! "op" "*" start)
+                      (advance! 1)
+                      (scan!)))
+                  ((= ch "/")
+                    (do
+                      (dl-emit! "op" "/" start)
+                      (advance! 1)
+                      (scan!)))
+                  (else (error
+                          (str "Tokenizer: unexpected character '" ch
+                               "' at position " start)))))))))
+      (scan!)
+      (dl-emit! "eof" nil pos)
+      tokens)))

lib/datalog/unify.sx

@@ -0,0 +1,171 @@
+;; lib/datalog/unify.sx — unification + substitution for Datalog terms.
+;;
+;; Term taxonomy (after parsing):
+;;   variable  — SX symbol whose first char is uppercase A–Z or '_'.
+;;   constant  — SX symbol whose first char is lowercase a–z (atom name).
+;;   number    — numeric literal.
+;;   string    — string literal.
+;;   compound  — SX list (functor arg ... arg). In core Datalog these
+;;               only appear as arithmetic expressions (see Phase 4
+;;               safety analysis); compound-against-compound unification
+;;               is supported anyway for completeness.
+;;
+;; Substitutions are immutable dicts keyed by variable name (string).
+;; A failed unification returns nil; success returns the extended subst.
+
+(define dl-empty-subst (fn () {}))
+
+(define
+  dl-var?
+  (fn
+    (term)
+    (and
+      (symbol? term)
+      (let
+        ((name (symbol->string term)))
+        (and
+          (> (len name) 0)
+          (let
+            ((c (slice name 0 1)))
+            (or (and (>= c "A") (<= c "Z")) (= c "_"))))))))
+
+;; Walk: chase variable bindings until we hit a non-variable or an unbound
+;; variable. The result is either a non-variable term or an unbound var.
+(define
+  dl-walk
+  (fn (term subst) (dl-walk-aux term subst (list))))
+
+;; Internal: walk with a visited-var set so circular substitutions
+;; (from raw dl-bind misuse) don't infinite-loop. Cycles return the
+;; current term unchanged.
+(define
+  dl-walk-aux
+  (fn
+    (term subst visited)
+    (if
+      (dl-var? term)
+      (let
+        ((name (symbol->string term)))
+        (cond
+          ((dl-member? name visited) term)
+          ((and (dict? subst) (has-key? subst name))
+            (let ((seen (list)))
+              (do
+                (for-each (fn (v) (append! seen v)) visited)
+                (append! seen name)
+                (dl-walk-aux (get subst name) subst seen))))
+          (else term)))
+      term)))
+
+;; Bind a variable symbol to a value in subst, returning a new subst.
+(define
+  dl-bind
+  (fn (var-sym value subst) (assoc subst (symbol->string var-sym) value)))
+
+(define
+  dl-unify
+  (fn
+    (t1 t2 subst)
+    (if
+      (nil? subst)
+      nil
+      (let
+        ((u1 (dl-walk t1 subst)) (u2 (dl-walk t2 subst)))
+        (cond
+          ((dl-var? u1)
+            (cond
+              ((and (dl-var? u2) (= (symbol->string u1) (symbol->string u2)))
+                subst)
+              (else (dl-bind u1 u2 subst))))
+          ((dl-var? u2) (dl-bind u2 u1 subst))
+          ((and (list? u1) (list? u2))
+            (if
+              (= (len u1) (len u2))
+              (dl-unify-list u1 u2 subst 0)
+              nil))
+          ((and (number? u1) (number? u2)) (if (= u1 u2) subst nil))
+          ((and (string? u1) (string? u2)) (if (= u1 u2) subst nil))
+          ((and (symbol? u1) (symbol? u2))
+            (if (= (symbol->string u1) (symbol->string u2)) subst nil))
+          (else nil))))))
+
+(define
+  dl-unify-list
+  (fn
+    (a b subst i)
+    (cond
+      ((nil? subst) nil)
+      ((>= i (len a)) subst)
+      (else
+        (dl-unify-list
+          a
+          b
+          (dl-unify (nth a i) (nth b i) subst)
+          (+ i 1))))))
+
+;; Apply substitution: walk the term and recurse into lists.
+(define
+  dl-apply-subst
+  (fn
+    (term subst)
+    (let
+      ((w (dl-walk term subst)))
+      (if (list? w) (map (fn (x) (dl-apply-subst x subst)) w) w))))
+
+;; Ground? — true iff no free variables remain after walking.
+(define
+  dl-ground?
+  (fn
+    (term subst)
+    (let
+      ((w (dl-walk term subst)))
+      (cond
+        ((dl-var? w) false)
+        ((list? w) (dl-ground-list? w subst 0))
+        (else true)))))
+
+(define
+  dl-ground-list?
+  (fn
+    (xs subst i)
+    (cond
+      ((>= i (len xs)) true)
+      ((not (dl-ground? (nth xs i) subst)) false)
+      (else (dl-ground-list? xs subst (+ i 1))))))
+
+;; Return the list of variable names appearing in a term (deduped, in
+;; left-to-right order). Useful for safety analysis later.
+(define
+  dl-vars-of
+  (fn (term) (let ((seen (list))) (do (dl-vars-of-aux term seen) seen))))
+
+(define
+  dl-vars-of-aux
+  (fn
+    (term acc)
+    (cond
+      ((dl-var? term)
+        (let
+          ((name (symbol->string term)))
+          (when (not (dl-member? name acc)) (append! acc name))))
+      ((list? term) (dl-vars-of-list term acc 0))
+      (else nil))))
+
+(define
+  dl-vars-of-list
+  (fn
+    (xs acc i)
+    (when
+      (< i (len xs))
+      (do
+        (dl-vars-of-aux (nth xs i) acc)
+        (dl-vars-of-list xs acc (+ i 1))))))
+
+(define
+  dl-member?
+  (fn
+    (x xs)
+    (cond
+      ((= (len xs) 0) false)
+      ((= (first xs) x) true)
+      (else (dl-member? x (rest xs))))))

lib/erlang/conformance.sh

@@ -76,7 +76,7 @@ cat > "$TMPFILE" << 'EPOCHS'
 (eval "(list er-fib-test-pass er-fib-test-count)")
 EPOCHS
 
-timeout 120 "$SX_SERVER" < "$TMPFILE" > "$OUTFILE" 2>&1
+timeout 600 "$SX_SERVER" < "$TMPFILE" > "$OUTFILE" 2>&1
 
 # Parse "(N M)" from the line after each "(ok-len <epoch> ...)" marker.
 parse_pair() {

lib/erlang/scoreboard.json

@@ -1,16 +1,16 @@
 {
   "language": "erlang",
-  "total_pass": 0,
+  "total_pass": 530,
-  "total": 0,
+  "total": 530,
   "suites": [
-    {"name":"tokenize","pass":0,"total":0,"status":"ok"},
+    {"name":"tokenize","pass":62,"total":62,"status":"ok"},
-    {"name":"parse","pass":0,"total":0,"status":"ok"},
+    {"name":"parse","pass":52,"total":52,"status":"ok"},
-    {"name":"eval","pass":0,"total":0,"status":"ok"},
+    {"name":"eval","pass":346,"total":346,"status":"ok"},
-    {"name":"runtime","pass":0,"total":0,"status":"ok"},
+    {"name":"runtime","pass":39,"total":39,"status":"ok"},
-    {"name":"ring","pass":0,"total":0,"status":"ok"},
+    {"name":"ring","pass":4,"total":4,"status":"ok"},
-    {"name":"ping-pong","pass":0,"total":0,"status":"ok"},
+    {"name":"ping-pong","pass":4,"total":4,"status":"ok"},
-    {"name":"bank","pass":0,"total":0,"status":"ok"},
+    {"name":"bank","pass":8,"total":8,"status":"ok"},
-    {"name":"echo","pass":0,"total":0,"status":"ok"},
+    {"name":"echo","pass":7,"total":7,"status":"ok"},
-    {"name":"fib","pass":0,"total":0,"status":"ok"}
+    {"name":"fib","pass":8,"total":8,"status":"ok"}
   ]
 }

lib/erlang/scoreboard.md

@@ -1,18 +1,18 @@
 # Erlang-on-SX Scoreboard
 
-**Total: 0 / 0 tests passing**
+**Total: 530 / 530 tests passing**
 
 |  | Suite | Pass | Total |
 |---|---|---|---|
-| ✅ | tokenize | 0 | 0 |
+| ✅ | tokenize | 62 | 62 |
-| ✅ | parse | 0 | 0 |
+| ✅ | parse | 52 | 52 |
-| ✅ | eval | 0 | 0 |
+| ✅ | eval | 346 | 346 |
-| ✅ | runtime | 0 | 0 |
+| ✅ | runtime | 39 | 39 |
-| ✅ | ring | 0 | 0 |
+| ✅ | ring | 4 | 4 |
-| ✅ | ping-pong | 0 | 0 |
+| ✅ | ping-pong | 4 | 4 |
-| ✅ | bank | 0 | 0 |
+| ✅ | bank | 8 | 8 |
-| ✅ | echo | 0 | 0 |
+| ✅ | echo | 7 | 7 |
-| ✅ | fib | 0 | 0 |
+| ✅ | fib | 8 | 8 |
 
 
 Generated by `lib/erlang/conformance.sh`.

lib/forth/ans-tests/README.md

@@ -0,0 +1,14 @@
+ANS Forth conformance tests — vendored from
+https://github.com/gerryjackson/forth2012-test-suite (master, commit-locked
+on first fetch: 2026-04-24).
+
+Files in this directory are pristine copies of upstream — do not edit them.
+They are consumed by the conformance runner in `lib/forth/conformance.sh`.
+
+- `tester.fr` — John Hayes' test harness (`T{ ... -> ... }T`). (C) 1995
+  Johns Hopkins APL, distributable under its notice.
+- `core.fr` — Core word set tests (Hayes, ~1000 lines).
+- `coreexttest.fth` — Core Extension tests (Gerry Jackson).
+
+Only `core.fr` is expected to run green end-to-end for Phase 3; the others
+stay parked until later phases.

lib/forth/ans-tests/coreexttest.fth

@@ -0,0 +1,775 @@
+\ To test the ANS Forth Core Extension word set
+
+\ This program was written by Gerry Jackson in 2006, with contributions from
+\ others where indicated, and is in the public domain - it can be distributed
+\ and/or modified in any way but please retain this notice.
+
+\ This program is distributed in the hope that it will be useful,
+\ but WITHOUT ANY WARRANTY; without even the implied warranty of
+\ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+
+\ The tests are not claimed to be comprehensive or correct 
+
+\ ------------------------------------------------------------------------------
+\ Version 0.15 1 August 2025 Added two tests to VALUE
+\         0.14 21 July 2022 Updated first line of BUFFER: test as recommended
+\              in issue 32
+\         0.13 28 October 2015
+\              Replace <FALSE> and <TRUE> with FALSE and TRUE to avoid
+\              dependence on Core tests
+\              Moved SAVE-INPUT and RESTORE-INPUT tests in a file to filetest.fth
+\              Use of 2VARIABLE (from optional wordset) replaced with CREATE.
+\              Minor lower to upper case conversions.
+\              Calls to COMPARE replaced by S= (in utilities.fth) to avoid use
+\              of a word from an optional word set.
+\              UNUSED tests revised as UNUSED UNUSED = may return FALSE when an
+\              implementation has the data stack sharing unused dataspace.
+\              Double number input dependency removed from the HOLDS tests.
+\              Minor case sensitivities removed in definition names.
+\         0.11 25 April 2015
+\              Added tests for PARSE-NAME HOLDS BUFFER:
+\              S\" tests added
+\              DEFER IS ACTION-OF DEFER! DEFER@ tests added
+\              Empty CASE statement test added
+\              [COMPILE] tests removed because it is obsolescent in Forth 2012
+\         0.10 1 August 2014
+\             Added tests contributed by James Bowman for:
+\                <> U> 0<> 0> NIP TUCK ROLL PICK 2>R 2R@ 2R>
+\                HEX WITHIN UNUSED AGAIN MARKER
+\             Added tests for:
+\                .R U.R ERASE PAD REFILL SOURCE-ID 
+\             Removed ABORT from NeverExecuted to enable Win32
+\             to continue after failure of RESTORE-INPUT.
+\             Removed max-intx which is no longer used.
+\         0.7 6 June 2012 Extra CASE test added
+\         0.6 1 April 2012 Tests placed in the public domain.
+\             SAVE-INPUT & RESTORE-INPUT tests, position
+\             of T{ moved so that tests work with ttester.fs
+\             CONVERT test deleted - obsolete word removed from Forth 200X
+\             IMMEDIATE VALUEs tested
+\             RECURSE with :NONAME tested
+\             PARSE and .( tested
+\             Parsing behaviour of C" added
+\         0.5 14 September 2011 Removed the double [ELSE] from the
+\             initial SAVE-INPUT & RESTORE-INPUT test
+\         0.4 30 November 2009  max-int replaced with max-intx to
+\             avoid redefinition warnings.
+\         0.3  6 March 2009 { and } replaced with T{ and }T
+\                           CONVERT test now independent of cell size
+\         0.2  20 April 2007 ANS Forth words changed to upper case
+\                            Tests qd3 to qd6 by Reinhold Straub
+\         0.1  Oct 2006 First version released
+\ -----------------------------------------------------------------------------
+\ The tests are based on John Hayes test program for the core word set
+
+\ Words tested in this file are:
+\     .( .R 0<> 0> 2>R 2R> 2R@ :NONAME <> ?DO AGAIN C" CASE COMPILE, ENDCASE
+\     ENDOF ERASE FALSE HEX MARKER NIP OF PAD PARSE PICK REFILL
+\     RESTORE-INPUT ROLL SAVE-INPUT SOURCE-ID TO TRUE TUCK U.R U> UNUSED
+\     VALUE WITHIN [COMPILE]
+
+\ Words not tested or partially tested:
+\     \ because it has been extensively used already and is, hence, unnecessary
+\     REFILL and SOURCE-ID from the user input device which are not possible
+\     when testing from a file such as this one
+\     UNUSED (partially tested) as the value returned is system dependent
+\     Obsolescent words #TIB CONVERT EXPECT QUERY SPAN TIB as they have been
+\     removed from the Forth 2012 standard
+
+\ Results from words that output to the user output device have to visually
+\ checked for correctness. These are .R U.R .(
+
+\ -----------------------------------------------------------------------------
+\ Assumptions & dependencies:
+\     - tester.fr (or ttester.fs), errorreport.fth and utilities.fth have been
+\       included prior to this file
+\     - the Core word set available
+\ -----------------------------------------------------------------------------
+TESTING Core Extension words
+
+DECIMAL
+
+TESTING TRUE FALSE
+
+T{ TRUE  -> 0 INVERT }T
+T{ FALSE -> 0 }T
+
+\ -----------------------------------------------------------------------------
+TESTING <> U>   (contributed by James Bowman)
+
+T{ 0 0 <> -> FALSE }T
+T{ 1 1 <> -> FALSE }T
+T{ -1 -1 <> -> FALSE }T
+T{ 1 0 <> -> TRUE }T
+T{ -1 0 <> -> TRUE }T
+T{ 0 1 <> -> TRUE }T
+T{ 0 -1 <> -> TRUE }T
+
+T{ 0 1 U> -> FALSE }T
+T{ 1 2 U> -> FALSE }T
+T{ 0 MID-UINT U> -> FALSE }T
+T{ 0 MAX-UINT U> -> FALSE }T
+T{ MID-UINT MAX-UINT U> -> FALSE }T
+T{ 0 0 U> -> FALSE }T
+T{ 1 1 U> -> FALSE }T
+T{ 1 0 U> -> TRUE }T
+T{ 2 1 U> -> TRUE }T
+T{ MID-UINT 0 U> -> TRUE }T
+T{ MAX-UINT 0 U> -> TRUE }T
+T{ MAX-UINT MID-UINT U> -> TRUE }T
+
+\ -----------------------------------------------------------------------------
+TESTING 0<> 0>   (contributed by James Bowman)
+
+T{ 0 0<> -> FALSE }T
+T{ 1 0<> -> TRUE }T
+T{ 2 0<> -> TRUE }T
+T{ -1 0<> -> TRUE }T
+T{ MAX-UINT 0<> -> TRUE }T
+T{ MIN-INT 0<> -> TRUE }T
+T{ MAX-INT 0<> -> TRUE }T
+
+T{ 0 0> -> FALSE }T
+T{ -1 0> -> FALSE }T
+T{ MIN-INT 0> -> FALSE }T
+T{ 1 0> -> TRUE }T
+T{ MAX-INT 0> -> TRUE }T
+
+\ -----------------------------------------------------------------------------
+TESTING NIP TUCK ROLL PICK   (contributed by James Bowman)
+
+T{ 1 2 NIP -> 2 }T
+T{ 1 2 3 NIP -> 1 3 }T
+
+T{ 1 2 TUCK -> 2 1 2 }T
+T{ 1 2 3 TUCK -> 1 3 2 3 }T
+
+T{ : RO5 100 200 300 400 500 ; -> }T
+T{ RO5 3 ROLL -> 100 300 400 500 200 }T
+T{ RO5 2 ROLL -> RO5 ROT }T
+T{ RO5 1 ROLL -> RO5 SWAP }T
+T{ RO5 0 ROLL -> RO5 }T
+
+T{ RO5 2 PICK -> 100 200 300 400 500 300 }T
+T{ RO5 1 PICK -> RO5 OVER }T
+T{ RO5 0 PICK -> RO5 DUP }T
+
+\ -----------------------------------------------------------------------------
+TESTING 2>R 2R@ 2R>   (contributed by James Bowman)
+
+T{ : RR0 2>R 100 R> R> ; -> }T
+T{ 300 400 RR0 -> 100 400 300 }T
+T{ 200 300 400 RR0 -> 200 100 400 300 }T
+
+T{ : RR1 2>R 100 2R@ R> R> ; -> }T
+T{ 300 400 RR1 -> 100 300 400 400 300 }T
+T{ 200 300 400 RR1 -> 200 100 300 400 400 300 }T
+
+T{ : RR2 2>R 100 2R> ; -> }T
+T{ 300 400 RR2 -> 100 300 400 }T
+T{ 200 300 400 RR2 -> 200 100 300 400 }T
+
+\ -----------------------------------------------------------------------------
+TESTING HEX   (contributed by James Bowman)
+
+T{ BASE @ HEX BASE @ DECIMAL BASE @ - SWAP BASE ! -> 6 }T
+
+\ -----------------------------------------------------------------------------
+TESTING WITHIN   (contributed by James Bowman)
+
+T{ 0 0 0 WITHIN -> FALSE }T
+T{ 0 0 MID-UINT WITHIN -> TRUE }T
+T{ 0 0 MID-UINT+1 WITHIN -> TRUE }T
+T{ 0 0 MAX-UINT WITHIN -> TRUE }T
+T{ 0 MID-UINT 0 WITHIN -> FALSE }T
+T{ 0 MID-UINT MID-UINT WITHIN -> FALSE }T
+T{ 0 MID-UINT MID-UINT+1 WITHIN -> FALSE }T
+T{ 0 MID-UINT MAX-UINT WITHIN -> FALSE }T
+T{ 0 MID-UINT+1 0 WITHIN -> FALSE }T
+T{ 0 MID-UINT+1 MID-UINT WITHIN -> TRUE }T
+T{ 0 MID-UINT+1 MID-UINT+1 WITHIN -> FALSE }T
+T{ 0 MID-UINT+1 MAX-UINT WITHIN -> FALSE }T
+T{ 0 MAX-UINT 0 WITHIN -> FALSE }T
+T{ 0 MAX-UINT MID-UINT WITHIN -> TRUE }T
+T{ 0 MAX-UINT MID-UINT+1 WITHIN -> TRUE }T
+T{ 0 MAX-UINT MAX-UINT WITHIN -> FALSE }T
+T{ MID-UINT 0 0 WITHIN -> FALSE }T
+T{ MID-UINT 0 MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT 0 MID-UINT+1 WITHIN -> TRUE }T
+T{ MID-UINT 0 MAX-UINT WITHIN -> TRUE }T
+T{ MID-UINT MID-UINT 0 WITHIN -> TRUE }T
+T{ MID-UINT MID-UINT MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT MID-UINT MID-UINT+1 WITHIN -> TRUE }T
+T{ MID-UINT MID-UINT MAX-UINT WITHIN -> TRUE }T
+T{ MID-UINT MID-UINT+1 0 WITHIN -> FALSE }T
+T{ MID-UINT MID-UINT+1 MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT MID-UINT+1 MID-UINT+1 WITHIN -> FALSE }T
+T{ MID-UINT MID-UINT+1 MAX-UINT WITHIN -> FALSE }T
+T{ MID-UINT MAX-UINT 0 WITHIN -> FALSE }T
+T{ MID-UINT MAX-UINT MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT MAX-UINT MID-UINT+1 WITHIN -> TRUE }T
+T{ MID-UINT MAX-UINT MAX-UINT WITHIN -> FALSE }T
+T{ MID-UINT+1 0 0 WITHIN -> FALSE }T
+T{ MID-UINT+1 0 MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT+1 0 MID-UINT+1 WITHIN -> FALSE }T
+T{ MID-UINT+1 0 MAX-UINT WITHIN -> TRUE }T
+T{ MID-UINT+1 MID-UINT 0 WITHIN -> TRUE }T
+T{ MID-UINT+1 MID-UINT MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT+1 MID-UINT MID-UINT+1 WITHIN -> FALSE }T
+T{ MID-UINT+1 MID-UINT MAX-UINT WITHIN -> TRUE }T
+T{ MID-UINT+1 MID-UINT+1 0 WITHIN -> TRUE }T
+T{ MID-UINT+1 MID-UINT+1 MID-UINT WITHIN -> TRUE }T
+T{ MID-UINT+1 MID-UINT+1 MID-UINT+1 WITHIN -> FALSE }T
+T{ MID-UINT+1 MID-UINT+1 MAX-UINT WITHIN -> TRUE }T
+T{ MID-UINT+1 MAX-UINT 0 WITHIN -> FALSE }T
+T{ MID-UINT+1 MAX-UINT MID-UINT WITHIN -> FALSE }T
+T{ MID-UINT+1 MAX-UINT MID-UINT+1 WITHIN -> FALSE }T
+T{ MID-UINT+1 MAX-UINT MAX-UINT WITHIN -> FALSE }T
+T{ MAX-UINT 0 0 WITHIN -> FALSE }T
+T{ MAX-UINT 0 MID-UINT WITHIN -> FALSE }T
+T{ MAX-UINT 0 MID-UINT+1 WITHIN -> FALSE }T
+T{ MAX-UINT 0 MAX-UINT WITHIN -> FALSE }T
+T{ MAX-UINT MID-UINT 0 WITHIN -> TRUE }T
+T{ MAX-UINT MID-UINT MID-UINT WITHIN -> FALSE }T
+T{ MAX-UINT MID-UINT MID-UINT+1 WITHIN -> FALSE }T
+T{ MAX-UINT MID-UINT MAX-UINT WITHIN -> FALSE }T
+T{ MAX-UINT MID-UINT+1 0 WITHIN -> TRUE }T
+T{ MAX-UINT MID-UINT+1 MID-UINT WITHIN -> TRUE }T
+T{ MAX-UINT MID-UINT+1 MID-UINT+1 WITHIN -> FALSE }T
+T{ MAX-UINT MID-UINT+1 MAX-UINT WITHIN -> FALSE }T
+T{ MAX-UINT MAX-UINT 0 WITHIN -> TRUE }T
+T{ MAX-UINT MAX-UINT MID-UINT WITHIN -> TRUE }T
+T{ MAX-UINT MAX-UINT MID-UINT+1 WITHIN -> TRUE }T
+T{ MAX-UINT MAX-UINT MAX-UINT WITHIN -> FALSE }T
+
+T{ MIN-INT MIN-INT MIN-INT WITHIN -> FALSE }T
+T{ MIN-INT MIN-INT 0 WITHIN -> TRUE }T
+T{ MIN-INT MIN-INT 1 WITHIN -> TRUE }T
+T{ MIN-INT MIN-INT MAX-INT WITHIN -> TRUE }T
+T{ MIN-INT 0 MIN-INT WITHIN -> FALSE }T
+T{ MIN-INT 0 0 WITHIN -> FALSE }T
+T{ MIN-INT 0 1 WITHIN -> FALSE }T
+T{ MIN-INT 0 MAX-INT WITHIN -> FALSE }T
+T{ MIN-INT 1 MIN-INT WITHIN -> FALSE }T
+T{ MIN-INT 1 0 WITHIN -> TRUE }T
+T{ MIN-INT 1 1 WITHIN -> FALSE }T
+T{ MIN-INT 1 MAX-INT WITHIN -> FALSE }T
+T{ MIN-INT MAX-INT MIN-INT WITHIN -> FALSE }T
+T{ MIN-INT MAX-INT 0 WITHIN -> TRUE }T
+T{ MIN-INT MAX-INT 1 WITHIN -> TRUE }T
+T{ MIN-INT MAX-INT MAX-INT WITHIN -> FALSE }T
+T{ 0 MIN-INT MIN-INT WITHIN -> FALSE }T
+T{ 0 MIN-INT 0 WITHIN -> FALSE }T
+T{ 0 MIN-INT 1 WITHIN -> TRUE }T
+T{ 0 MIN-INT MAX-INT WITHIN -> TRUE }T
+T{ 0 0 MIN-INT WITHIN -> TRUE }T
+T{ 0 0 0 WITHIN -> FALSE }T
+T{ 0 0 1 WITHIN -> TRUE }T
+T{ 0 0 MAX-INT WITHIN -> TRUE }T
+T{ 0 1 MIN-INT WITHIN -> FALSE }T
+T{ 0 1 0 WITHIN -> FALSE }T
+T{ 0 1 1 WITHIN -> FALSE }T
+T{ 0 1 MAX-INT WITHIN -> FALSE }T
+T{ 0 MAX-INT MIN-INT WITHIN -> FALSE }T
+T{ 0 MAX-INT 0 WITHIN -> FALSE }T
+T{ 0 MAX-INT 1 WITHIN -> TRUE }T
+T{ 0 MAX-INT MAX-INT WITHIN -> FALSE }T
+T{ 1 MIN-INT MIN-INT WITHIN -> FALSE }T
+T{ 1 MIN-INT 0 WITHIN -> FALSE }T
+T{ 1 MIN-INT 1 WITHIN -> FALSE }T
+T{ 1 MIN-INT MAX-INT WITHIN -> TRUE }T
+T{ 1 0 MIN-INT WITHIN -> TRUE }T
+T{ 1 0 0 WITHIN -> FALSE }T
+T{ 1 0 1 WITHIN -> FALSE }T
+T{ 1 0 MAX-INT WITHIN -> TRUE }T
+T{ 1 1 MIN-INT WITHIN -> TRUE }T
+T{ 1 1 0 WITHIN -> TRUE }T
+T{ 1 1 1 WITHIN -> FALSE }T
+T{ 1 1 MAX-INT WITHIN -> TRUE }T
+T{ 1 MAX-INT MIN-INT WITHIN -> FALSE }T
+T{ 1 MAX-INT 0 WITHIN -> FALSE }T
+T{ 1 MAX-INT 1 WITHIN -> FALSE }T
+T{ 1 MAX-INT MAX-INT WITHIN -> FALSE }T
+T{ MAX-INT MIN-INT MIN-INT WITHIN -> FALSE }T
+T{ MAX-INT MIN-INT 0 WITHIN -> FALSE }T
+T{ MAX-INT MIN-INT 1 WITHIN -> FALSE }T
+T{ MAX-INT MIN-INT MAX-INT WITHIN -> FALSE }T
+T{ MAX-INT 0 MIN-INT WITHIN -> TRUE }T
+T{ MAX-INT 0 0 WITHIN -> FALSE }T
+T{ MAX-INT 0 1 WITHIN -> FALSE }T
+T{ MAX-INT 0 MAX-INT WITHIN -> FALSE }T
+T{ MAX-INT 1 MIN-INT WITHIN -> TRUE }T
+T{ MAX-INT 1 0 WITHIN -> TRUE }T
+T{ MAX-INT 1 1 WITHIN -> FALSE }T
+T{ MAX-INT 1 MAX-INT WITHIN -> FALSE }T
+T{ MAX-INT MAX-INT MIN-INT WITHIN -> TRUE }T
+T{ MAX-INT MAX-INT 0 WITHIN -> TRUE }T
+T{ MAX-INT MAX-INT 1 WITHIN -> TRUE }T
+T{ MAX-INT MAX-INT MAX-INT WITHIN -> FALSE }T
+
+\ -----------------------------------------------------------------------------
+TESTING UNUSED  (contributed by James Bowman & Peter Knaggs)
+
+VARIABLE UNUSED0
+T{ UNUSED DROP -> }T                  
+T{ ALIGN UNUSED UNUSED0 ! 0 , UNUSED CELL+ UNUSED0 @ = -> TRUE }T
+T{ UNUSED UNUSED0 ! 0 C, UNUSED CHAR+ UNUSED0 @ =
+         -> TRUE }T  \ aligned -> unaligned
+T{ UNUSED UNUSED0 ! 0 C, UNUSED CHAR+ UNUSED0 @ = -> TRUE }T  \ unaligned -> ?
+
+\ -----------------------------------------------------------------------------
+TESTING AGAIN   (contributed by James Bowman)
+
+T{ : AG0 701 BEGIN DUP 7 MOD 0= IF EXIT THEN 1+ AGAIN ; -> }T
+T{ AG0 -> 707 }T
+
+\ -----------------------------------------------------------------------------
+TESTING MARKER   (contributed by James Bowman)
+
+T{ : MA? BL WORD FIND NIP 0<> ; -> }T
+T{ MARKER MA0 -> }T
+T{ : MA1 111 ; -> }T
+T{ MARKER MA2 -> }T
+T{ : MA1 222 ; -> }T
+T{ MA? MA0 MA? MA1 MA? MA2 -> TRUE TRUE TRUE }T
+T{ MA1 MA2 MA1 -> 222 111 }T
+T{ MA? MA0 MA? MA1 MA? MA2 -> TRUE TRUE FALSE }T
+T{ MA0 -> }T
+T{ MA? MA0 MA? MA1 MA? MA2 -> FALSE FALSE FALSE }T
+
+\ -----------------------------------------------------------------------------
+TESTING ?DO
+
+: QD ?DO I LOOP ;
+T{ 789 789 QD -> }T
+T{ -9876 -9876 QD -> }T
+T{ 5 0 QD -> 0 1 2 3 4 }T
+
+: QD1 ?DO I 10 +LOOP ;
+T{ 50 1 QD1 -> 1 11 21 31 41 }T
+T{ 50 0 QD1 -> 0 10 20 30 40 }T
+
+: QD2 ?DO I 3 > IF LEAVE ELSE I THEN LOOP ;
+T{ 5 -1 QD2 -> -1 0 1 2 3 }T
+
+: QD3 ?DO I 1 +LOOP ;
+T{ 4  4 QD3 -> }T
+T{ 4  1 QD3 -> 1 2 3 }T
+T{ 2 -1 QD3 -> -1 0 1 }T
+
+: QD4 ?DO I -1 +LOOP ;
+T{  4 4 QD4 -> }T
+T{  1 4 QD4 -> 4 3 2 1 }T
+T{ -1 2 QD4 -> 2 1 0 -1 }T
+
+: QD5 ?DO I -10 +LOOP ;
+T{   1 50 QD5 -> 50 40 30 20 10 }T
+T{   0 50 QD5 -> 50 40 30 20 10 0 }T
+T{ -25 10 QD5 -> 10 0 -10 -20 }T
+
+VARIABLE ITERS
+VARIABLE INCRMNT
+
+: QD6 ( limit start increment -- )
+   INCRMNT !
+   0 ITERS !
+   ?DO
+      1 ITERS +!
+      I
+      ITERS @  6 = IF LEAVE THEN
+      INCRMNT @
+   +LOOP ITERS @
+;
+
+T{  4  4 -1 QD6 -> 0 }T
+T{  1  4 -1 QD6 -> 4 3 2 1 4 }T
+T{  4  1 -1 QD6 -> 1 0 -1 -2 -3 -4 6 }T
+T{  4  1  0 QD6 -> 1 1 1 1 1 1 6 }T
+T{  0  0  0 QD6 -> 0 }T
+T{  1  4  0 QD6 -> 4 4 4 4 4 4 6 }T
+T{  1  4  1 QD6 -> 4 5 6 7 8 9 6 }T
+T{  4  1  1 QD6 -> 1 2 3 3 }T
+T{  4  4  1 QD6 -> 0 }T
+T{  2 -1 -1 QD6 -> -1 -2 -3 -4 -5 -6 6 }T
+T{ -1  2 -1 QD6 -> 2 1 0 -1 4 }T
+T{  2 -1  0 QD6 -> -1 -1 -1 -1 -1 -1 6 }T
+T{ -1  2  0 QD6 -> 2 2 2 2 2 2 6 }T
+T{ -1  2  1 QD6 -> 2 3 4 5 6 7 6 }T
+T{  2 -1  1 QD6 -> -1 0 1 3 }T
+
+\ -----------------------------------------------------------------------------
+TESTING BUFFER:
+
+T{ 2 CELLS BUFFER: BUF:TEST -> }T
+T{ BUF:TEST DUP ALIGNED = -> TRUE }T
+T{ 111 BUF:TEST ! 222 BUF:TEST CELL+ ! -> }T
+T{ BUF:TEST @ BUF:TEST CELL+ @ -> 111 222 }T
+
+\ -----------------------------------------------------------------------------
+TESTING VALUE TO
+
+T{ 111 VALUE VAL1 -999 VALUE VAL2 -> }T
+T{ VAL1 -> 111 }T
+T{ VAL2 -> -999 }T
+T{ 222 TO VAL1 -> }T
+T{ VAL1 -> 222 }T
+T{ : VD1 VAL1 ; -> }T
+T{ VD1 -> 222 }T
+T{ : VD2 TO VAL2 ; -> }T
+T{ VAL2 -> -999 }T
+T{ -333 VD2 -> }T
+T{ VAL2 -> -333 }T
+T{ VAL1 -> 222 }T
+T{ 444 TO VAL1 -> }T
+T{ VD1 -> 444 }T
+T{ 123 VALUE VAL3 IMMEDIATE VAL3 -> 123 }T
+T{ : VD3 VAL3 LITERAL ; VD3 -> 123 }T
+
+\ -----------------------------------------------------------------------------
+TESTING CASE OF ENDOF ENDCASE
+
+: CS1 CASE 1 OF 111 ENDOF
+           2 OF 222 ENDOF
+           3 OF 333 ENDOF
+           >R 999 R>
+      ENDCASE
+;
+
+T{ 1 CS1 -> 111 }T
+T{ 2 CS1 -> 222 }T
+T{ 3 CS1 -> 333 }T
+T{ 4 CS1 -> 999 }T
+
+\ Nested CASE's
+
+: CS2 >R CASE -1 OF CASE R@ 1 OF 100 ENDOF
+                            2 OF 200 ENDOF
+                           >R -300 R>
+                    ENDCASE
+                 ENDOF
+              -2 OF CASE R@ 1 OF -99  ENDOF
+                            >R -199 R>
+                    ENDCASE
+                 ENDOF
+                 >R 299 R>
+         ENDCASE R> DROP
+;
+
+T{ -1 1 CS2 ->  100 }T
+T{ -1 2 CS2 ->  200 }T
+T{ -1 3 CS2 -> -300 }T
+T{ -2 1 CS2 -> -99  }T
+T{ -2 2 CS2 -> -199 }T
+T{  0 2 CS2 ->  299 }T
+
+\ Boolean short circuiting using CASE
+
+: CS3  ( N1 -- N2 )
+   CASE 1- FALSE OF 11 ENDOF
+        1- FALSE OF 22 ENDOF
+        1- FALSE OF 33 ENDOF
+        44 SWAP
+   ENDCASE
+;
+
+T{ 1 CS3 -> 11 }T
+T{ 2 CS3 -> 22 }T
+T{ 3 CS3 -> 33 }T
+T{ 9 CS3 -> 44 }T
+
+\ Empty CASE statements with/without default
+
+T{ : CS4 CASE ENDCASE ; 1 CS4 -> }T
+T{ : CS5 CASE 2 SWAP ENDCASE ; 1 CS5 -> 2 }T
+T{ : CS6 CASE 1 OF ENDOF 2 ENDCASE ; 1 CS6 -> }T
+T{ : CS7 CASE 3 OF ENDOF 2 ENDCASE ; 1 CS7 -> 1 }T
+
+\ -----------------------------------------------------------------------------
+TESTING :NONAME RECURSE
+
+VARIABLE NN1
+VARIABLE NN2
+:NONAME 1234 ; NN1 !
+:NONAME 9876 ; NN2 !
+T{ NN1 @ EXECUTE -> 1234 }T
+T{ NN2 @ EXECUTE -> 9876 }T
+
+T{ :NONAME ( n -- 0,1,..n ) DUP IF DUP >R 1- RECURSE R> THEN ;
+   CONSTANT RN1 -> }T
+T{ 0 RN1 EXECUTE -> 0 }T
+T{ 4 RN1 EXECUTE -> 0 1 2 3 4 }T
+
+:NONAME  ( n -- n1 )    \ Multiple RECURSEs in one definition
+   1- DUP
+   CASE 0 OF EXIT ENDOF
+        1 OF 11 SWAP RECURSE ENDOF
+        2 OF 22 SWAP RECURSE ENDOF
+        3 OF 33 SWAP RECURSE ENDOF
+        DROP ABS RECURSE EXIT
+   ENDCASE
+; CONSTANT RN2
+
+T{  1 RN2 EXECUTE -> 0 }T
+T{  2 RN2 EXECUTE -> 11 0 }T
+T{  4 RN2 EXECUTE -> 33 22 11 0 }T
+T{ 25 RN2 EXECUTE -> 33 22 11 0 }T
+
+\ -----------------------------------------------------------------------------
+TESTING C"
+
+T{ : CQ1 C" 123" ; -> }T
+T{ CQ1 COUNT EVALUATE -> 123 }T
+T{ : CQ2 C" " ; -> }T
+T{ CQ2 COUNT EVALUATE -> }T
+T{ : CQ3 C" 2345"COUNT EVALUATE ; CQ3 -> 2345 }T
+
+\ -----------------------------------------------------------------------------
+TESTING COMPILE,
+
+:NONAME DUP + ; CONSTANT DUP+
+T{ : Q DUP+ COMPILE, ; -> }T
+T{ : AS1 [ Q ] ; -> }T
+T{ 123 AS1 -> 246 }T
+
+\ -----------------------------------------------------------------------------
+\ Cannot automatically test SAVE-INPUT and RESTORE-INPUT from a console source
+
+TESTING SAVE-INPUT and RESTORE-INPUT with a string source
+
+VARIABLE SI_INC 0 SI_INC !
+
+: SI1
+   SI_INC @ >IN +!
+   15 SI_INC !
+;
+
+: S$ S" SAVE-INPUT SI1 RESTORE-INPUT 12345" ;
+
+T{ S$ EVALUATE SI_INC @ -> 0 2345 15 }T
+
+\ -----------------------------------------------------------------------------
+TESTING .(
+
+CR CR .( Output from .() 
+T{ CR .( You should see -9876: ) -9876 . -> }T
+T{ CR .( and again: ).( -9876)CR -> }T
+
+CR CR .( On the next 2 lines you should see First then Second messages:)
+T{ : DOTP  CR ." Second message via ." [CHAR] " EMIT    \ Check .( is immediate
+     [ CR ] .( First message via .( ) ; DOTP -> }T
+CR CR
+T{ : IMM? BL WORD FIND NIP ; IMM? .( -> 1 }T
+
+\ -----------------------------------------------------------------------------
+TESTING .R and U.R - has to handle different cell sizes
+
+\ Create some large integers just below/above MAX and Min INTs
+MAX-INT 73 79 */ CONSTANT LI1
+MIN-INT 71 73 */ CONSTANT LI2
+
+LI1 0 <# #S #> NIP CONSTANT LENLI1
+
+: (.R&U.R)  ( u1 u2 -- )  \ u1 <= string length, u2 is required indentation
+   TUCK + >R
+   LI1 OVER SPACES  . CR R@    LI1 SWAP  .R CR
+   LI2 OVER SPACES  . CR R@ 1+ LI2 SWAP  .R CR
+   LI1 OVER SPACES U. CR R@    LI1 SWAP U.R CR
+   LI2 SWAP SPACES U. CR R>    LI2 SWAP U.R CR
+;
+
+: .R&U.R  ( -- )
+   CR ." You should see lines duplicated:" CR
+   ." indented by 0 spaces" CR 0      0 (.R&U.R) CR
+   ." indented by 0 spaces" CR LENLI1 0 (.R&U.R) CR \ Just fits required width
+   ." indented by 5 spaces" CR LENLI1 5 (.R&U.R) CR
+;
+
+CR CR .( Output from .R and U.R)
+T{ .R&U.R -> }T
+
+\ -----------------------------------------------------------------------------
+TESTING PAD ERASE
+\ Must handle different size characters i.e. 1 CHARS >= 1 
+
+84 CONSTANT CHARS/PAD      \ Minimum size of PAD in chars
+CHARS/PAD CHARS CONSTANT AUS/PAD
+: CHECKPAD  ( caddr u ch -- f )  \ f = TRUE if u chars = ch
+   SWAP 0
+   ?DO
+      OVER I CHARS + C@ OVER <>
+      IF 2DROP UNLOOP FALSE EXIT THEN
+   LOOP  
+   2DROP TRUE
+;
+
+T{ PAD DROP -> }T
+T{ 0 INVERT PAD C! -> }T
+T{ PAD C@ CONSTANT MAXCHAR -> }T
+T{ PAD CHARS/PAD 2DUP MAXCHAR FILL MAXCHAR CHECKPAD -> TRUE }T
+T{ PAD CHARS/PAD 2DUP CHARS ERASE 0 CHECKPAD -> TRUE }T
+T{ PAD CHARS/PAD 2DUP MAXCHAR FILL PAD 0 ERASE MAXCHAR CHECKPAD -> TRUE }T
+T{ PAD 43 CHARS + 9 CHARS ERASE -> }T
+T{ PAD 43 MAXCHAR CHECKPAD -> TRUE }T
+T{ PAD 43 CHARS + 9 0 CHECKPAD -> TRUE }T
+T{ PAD 52 CHARS + CHARS/PAD 52 - MAXCHAR CHECKPAD -> TRUE }T
+
+\ Check that use of WORD and pictured numeric output do not corrupt PAD
+\ Minimum size of buffers for these are 33 chars and (2*n)+2 chars respectively
+\ where n is number of bits per cell
+
+PAD CHARS/PAD ERASE
+2 BASE !
+MAX-UINT MAX-UINT <# #S CHAR 1 DUP HOLD HOLD #> 2DROP
+DECIMAL
+BL WORD 12345678123456781234567812345678 DROP
+T{ PAD CHARS/PAD 0 CHECKPAD -> TRUE }T
+
+\ -----------------------------------------------------------------------------
+TESTING PARSE
+
+T{ CHAR | PARSE 1234| DUP ROT ROT EVALUATE -> 4 1234 }T
+T{ CHAR ^ PARSE  23 45 ^ DUP ROT ROT EVALUATE -> 7 23 45 }T
+: PA1 [CHAR] $ PARSE DUP >R PAD SWAP CHARS MOVE PAD R> ;
+T{ PA1 3456
+   DUP ROT ROT EVALUATE -> 4 3456 }T
+T{ CHAR A PARSE A SWAP DROP -> 0 }T
+T{ CHAR Z PARSE
+   SWAP DROP -> 0 }T
+T{ CHAR " PARSE 4567 "DUP ROT ROT EVALUATE -> 5 4567 }T
+ 
+\ -----------------------------------------------------------------------------
+TESTING PARSE-NAME  (Forth 2012)
+\ Adapted from the PARSE-NAME RfD tests
+
+T{ PARSE-NAME abcd  STR1  S= -> TRUE }T        \ No leading spaces
+T{ PARSE-NAME      abcde STR2 S= -> TRUE }T    \ Leading spaces
+
+\ Test empty parse area, new lines are necessary
+T{ PARSE-NAME
+  NIP -> 0 }T
+\ Empty parse area with spaces after PARSE-NAME
+T{ PARSE-NAME         
+  NIP -> 0 }T
+
+T{ : PARSE-NAME-TEST ( "name1" "name2" -- n )
+    PARSE-NAME PARSE-NAME S= ; -> }T
+T{ PARSE-NAME-TEST abcd abcd  -> TRUE }T
+T{ PARSE-NAME-TEST abcd   abcd  -> TRUE }T  \ Leading spaces
+T{ PARSE-NAME-TEST abcde abcdf -> FALSE }T
+T{ PARSE-NAME-TEST abcdf abcde -> FALSE }T
+T{ PARSE-NAME-TEST abcde abcde
+   -> TRUE }T         \ Parse to end of line
+T{ PARSE-NAME-TEST abcde           abcde         
+   -> TRUE }T         \ Leading and trailing spaces
+
+\ -----------------------------------------------------------------------------
+TESTING DEFER DEFER@ DEFER! IS ACTION-OF (Forth 2012)
+\ Adapted from the Forth 200X RfD tests
+
+T{ DEFER DEFER1 -> }T
+T{ : MY-DEFER DEFER ; -> }T
+T{ : IS-DEFER1 IS DEFER1 ; -> }T
+T{ : ACTION-DEFER1 ACTION-OF DEFER1 ; -> }T
+T{ : DEF! DEFER! ; -> }T
+T{ : DEF@ DEFER@ ; -> }T
+
+T{ ' * ' DEFER1 DEFER! -> }T
+T{ 2 3 DEFER1 -> 6 }T
+T{ ' DEFER1 DEFER@ -> ' * }T
+T{ ' DEFER1 DEF@ -> ' * }T
+T{ ACTION-OF DEFER1 -> ' * }T
+T{ ACTION-DEFER1 -> ' * }T
+T{ ' + IS DEFER1 -> }T
+T{ 1 2 DEFER1 -> 3 }T
+T{ ' DEFER1 DEFER@ -> ' + }T
+T{ ' DEFER1 DEF@ -> ' + }T
+T{ ACTION-OF DEFER1 -> ' + }T
+T{ ACTION-DEFER1 -> ' + }T
+T{ ' - IS-DEFER1 -> }T
+T{ 1 2 DEFER1 -> -1 }T
+T{ ' DEFER1 DEFER@ -> ' - }T
+T{ ' DEFER1 DEF@ -> ' - }T
+T{ ACTION-OF DEFER1 -> ' - }T
+T{ ACTION-DEFER1 -> ' - }T
+
+T{ MY-DEFER DEFER2 -> }T
+T{ ' DUP IS DEFER2 -> }T
+T{ 1 DEFER2 -> 1 1 }T
+
+\ -----------------------------------------------------------------------------
+TESTING HOLDS  (Forth 2012)
+
+: HTEST S" Testing HOLDS" ;
+: HTEST2 S" works" ;
+: HTEST3 S" Testing HOLDS works 123" ;
+T{ 0 0 <#  HTEST HOLDS #> HTEST S= -> TRUE }T
+T{ 123 0 <# #S BL HOLD HTEST2 HOLDS BL HOLD HTEST HOLDS #>
+   HTEST3 S= -> TRUE }T
+T{ : HLD HOLDS ; -> }T
+T{ 0 0 <#  HTEST HLD #> HTEST S= -> TRUE }T
+
+\ -----------------------------------------------------------------------------
+TESTING REFILL SOURCE-ID
+\ REFILL and SOURCE-ID from the user input device can't be tested from a file,
+\ can only be tested from a string via EVALUATE
+
+T{ : RF1  S" REFILL" EVALUATE ; RF1 -> FALSE }T
+T{ : SID1  S" SOURCE-ID" EVALUATE ; SID1 -> -1 }T
+
+\ ------------------------------------------------------------------------------
+TESTING S\"  (Forth 2012 compilation mode)
+\ Extended the Forth 200X RfD tests
+\ Note this tests the Core Ext definition of S\" which has unedfined
+\ interpretation semantics. S\" in interpretation mode is tested in the tests on
+\ the File-Access word set
+
+T{ : SSQ1 S\" abc" S" abc" S= ; -> }T  \ No escapes
+T{ SSQ1 -> TRUE }T
+T{ : SSQ2 S\" " ; SSQ2 SWAP DROP -> 0 }T    \ Empty string
+
+T{ : SSQ3 S\" \a\b\e\f\l\m\q\r\t\v\x0F0\x1Fa\xaBx\z\"\\" ; -> }T
+T{ SSQ3 SWAP DROP          ->  20 }T    \ String length
+T{ SSQ3 DROP            C@ ->   7 }T    \ \a   BEL  Bell
+T{ SSQ3 DROP  1 CHARS + C@ ->   8 }T    \ \b   BS   Backspace
+T{ SSQ3 DROP  2 CHARS + C@ ->  27 }T    \ \e   ESC  Escape
+T{ SSQ3 DROP  3 CHARS + C@ ->  12 }T    \ \f   FF   Form feed
+T{ SSQ3 DROP  4 CHARS + C@ ->  10 }T    \ \l   LF   Line feed
+T{ SSQ3 DROP  5 CHARS + C@ ->  13 }T    \ \m        CR of CR/LF pair
+T{ SSQ3 DROP  6 CHARS + C@ ->  10 }T    \           LF of CR/LF pair
+T{ SSQ3 DROP  7 CHARS + C@ ->  34 }T    \ \q   "    Double Quote
+T{ SSQ3 DROP  8 CHARS + C@ ->  13 }T    \ \r   CR   Carriage Return
+T{ SSQ3 DROP  9 CHARS + C@ ->   9 }T    \ \t   TAB  Horizontal Tab
+T{ SSQ3 DROP 10 CHARS + C@ ->  11 }T    \ \v   VT   Vertical Tab
+T{ SSQ3 DROP 11 CHARS + C@ ->  15 }T    \ \x0F      Given Char
+T{ SSQ3 DROP 12 CHARS + C@ ->  48 }T    \ 0    0    Digit follow on
+T{ SSQ3 DROP 13 CHARS + C@ ->  31 }T    \ \x1F      Given Char
+T{ SSQ3 DROP 14 CHARS + C@ ->  97 }T    \ a    a    Hex follow on
+T{ SSQ3 DROP 15 CHARS + C@ -> 171 }T    \ \xaB      Insensitive Given Char
+T{ SSQ3 DROP 16 CHARS + C@ -> 120 }T    \ x    x    Non hex follow on
+T{ SSQ3 DROP 17 CHARS + C@ ->   0 }T    \ \z   NUL  No Character
+T{ SSQ3 DROP 18 CHARS + C@ ->  34 }T    \ \"   "    Double Quote
+T{ SSQ3 DROP 19 CHARS + C@ ->  92 }T    \ \\   \    Back Slash
+
+\ The above does not test \n as this is a system dependent value.
+\ Check it displays a new line
+CR .( The next test should display:)
+CR .( One line...)
+CR .( another line)
+T{ : SSQ4 S\" \nOne line...\nanotherLine\n" TYPE ; SSQ4 -> }T
+
+\ Test bare escapable characters appear as themselves
+T{ : SSQ5 S\" abeflmnqrtvxz" S" abeflmnqrtvxz" S= ; SSQ5 -> TRUE }T
+
+T{ : SSQ6 S\" a\""2DROP 1111 ; SSQ6 -> 1111 }T \ Parsing behaviour
+
+T{ : SSQ7  S\" 111 : SSQ8 S\\\" 222\" EVALUATE ; SSQ8 333" EVALUATE ; -> }T
+T{ SSQ7 -> 111 222 333 }T
+T{ : SSQ9  S\" 11 : SSQ10 S\\\" \\x32\\x32\" EVALUATE ; SSQ10 33" EVALUATE ; -> }T
+T{ SSQ9 -> 11 22 33 }T
+
+\ -----------------------------------------------------------------------------
+CORE-EXT-ERRORS SET-ERROR-COUNT
+
+CR .( End of Core Extension word tests) CR
+
+

lib/forth/ans-tests/tester.fr

@@ -0,0 +1,66 @@
+\ From: John Hayes S1I
+\ Subject: tester.fr
+\ Date: Mon, 27 Nov 95 13:10:09 PST  
+
+\ (C) 1995 JOHNS HOPKINS UNIVERSITY / APPLIED PHYSICS LABORATORY
+\ MAY BE DISTRIBUTED FREELY AS LONG AS THIS COPYRIGHT NOTICE REMAINS.
+\ VERSION 1.2
+
+\ 24/11/2015 Replaced Core Ext word <> with = 0=
+\ 31/3/2015 Variable #ERRORS added and incremented for each error reported.
+\ 22/1/09 The words { and } have been changed to T{ and }T respectively to
+\ agree with the Forth 200X file ttester.fs. This avoids clashes with
+\ locals using { ... } and the FSL use of } 
+
+HEX
+
+\ SET THE FOLLOWING FLAG TO TRUE FOR MORE VERBOSE OUTPUT; THIS MAY
+\ ALLOW YOU TO TELL WHICH TEST CAUSED YOUR SYSTEM TO HANG.
+VARIABLE VERBOSE
+   FALSE VERBOSE !
+\   TRUE VERBOSE !
+
+: EMPTY-STACK   \ ( ... -- ) EMPTY STACK: HANDLES UNDERFLOWED STACK TOO.
+   DEPTH ?DUP IF DUP 0< IF NEGATE 0 DO 0 LOOP ELSE 0 DO DROP LOOP THEN THEN ;
+
+VARIABLE #ERRORS 0 #ERRORS !
+
+: ERROR      \ ( C-ADDR U -- ) DISPLAY AN ERROR MESSAGE FOLLOWED BY
+      \ THE LINE THAT HAD THE ERROR.
+   CR TYPE SOURCE TYPE       \ DISPLAY LINE CORRESPONDING TO ERROR
+   EMPTY-STACK               \ THROW AWAY EVERY THING ELSE
+   #ERRORS @ 1 + #ERRORS !
+\   QUIT  \ *** Uncomment this line to QUIT on an error
+;
+
+VARIABLE ACTUAL-DEPTH         \ STACK RECORD
+CREATE ACTUAL-RESULTS 20 CELLS ALLOT
+
+: T{      \ ( -- ) SYNTACTIC SUGAR.
+   ;
+
+: ->      \ ( ... -- ) RECORD DEPTH AND CONTENT OF STACK.
+   DEPTH DUP ACTUAL-DEPTH !      \ RECORD DEPTH
+   ?DUP IF            \ IF THERE IS SOMETHING ON STACK
+      0 DO ACTUAL-RESULTS I CELLS + ! LOOP \ SAVE THEM
+   THEN ;
+
+: }T      \ ( ... -- ) COMPARE STACK (EXPECTED) CONTENTS WITH SAVED
+      \ (ACTUAL) CONTENTS.
+   DEPTH ACTUAL-DEPTH @ = IF      \ IF DEPTHS MATCH
+      DEPTH ?DUP IF         \ IF THERE IS SOMETHING ON THE STACK
+         0  DO            \ FOR EACH STACK ITEM
+           ACTUAL-RESULTS I CELLS + @   \ COMPARE ACTUAL WITH EXPECTED
+           = 0= IF S" INCORRECT RESULT: " ERROR LEAVE THEN
+         LOOP
+      THEN
+   ELSE               \ DEPTH MISMATCH
+      S" WRONG NUMBER OF RESULTS: " ERROR
+   THEN ;
+
+: TESTING   \ ( -- ) TALKING COMMENT.
+  SOURCE VERBOSE @
+   IF DUP >R TYPE CR R> >IN !
+   ELSE >IN ! DROP [CHAR] * EMIT
+   THEN ;
+

lib/forth/conformance.sh

@@ -0,0 +1,170 @@
+#!/usr/bin/env bash
+# Run the Hayes/Gerry-Jackson Core conformance suite against our Forth
+# interpreter and emit scoreboard.json + scoreboard.md.
+#
+# Method:
+#   1. Preprocess lib/forth/ans-tests/core.fr — strip \ comments, ( ... )
+#      comments, and TESTING … metadata lines.
+#   2. Split into chunks ending at each `}T` so an error in one test
+#      chunk doesn't abort the run.
+#   3. Emit an SX file that exposes those chunks as a list.
+#   4. Run our Forth + hayes-runner under sx_server; record pass/fail/error.
+
+set -e
+FORTH_DIR="$(cd "$(dirname "$0")" && pwd)"
+ROOT="$(cd "$FORTH_DIR/../.." && pwd)"
+SX_SERVER="${SX_SERVER:-/root/rose-ash/hosts/ocaml/_build/default/bin/sx_server.exe}"
+SOURCE="$FORTH_DIR/ans-tests/core.fr"
+OUT_JSON="$FORTH_DIR/scoreboard.json"
+OUT_MD="$FORTH_DIR/scoreboard.md"
+TMP="$(mktemp -d)"
+PREPROC="$TMP/preproc.forth"
+CHUNKS_SX="$TMP/chunks.sx"
+
+cd "$ROOT"
+
+# 1. preprocess
+awk '
+{
+  line = $0
+  # protect POSTPONE \ so the comment-strip below leaves the literal \ alone
+  gsub(/POSTPONE[ \t]+\\/, "POSTPONE @@BS@@", line)
+  # strip leading/embedded \ line comments (must be \ followed by space or EOL)
+  gsub(/(^|[ \t])\\([ \t].*|$)/, " ", line)
+  # strip ( ... ) block comments that sit on one line
+  gsub(/\([^)]*\)/, " ", line)
+  # strip TESTING … metadata lines (rest of line, incl. bare TESTING)
+  sub(/TESTING([ \t].*)?$/, " ", line)
+  # restore the protected backslash
+  gsub(/@@BS@@/, "\\", line)
+  print line
+}' "$SOURCE" > "$PREPROC"
+
+# 2 + 3: split into chunks at each `}T` and emit as a SX file
+#
+# Cap chunks via MAX_CHUNKS env (default 638 = full Hayes Core). Lower
+# it temporarily if later tests regress into an infinite loop while you
+# are iterating on primitives.
+MAX_CHUNKS="${MAX_CHUNKS:-638}"
+
+MAX_CHUNKS="$MAX_CHUNKS" python3 - "$PREPROC" "$CHUNKS_SX" <<'PY'
+import os, re, sys
+preproc_path, out_path = sys.argv[1], sys.argv[2]
+max_chunks = int(os.environ.get("MAX_CHUNKS", "590"))
+text = open(preproc_path).read()
+# keep the `}T` attached to the preceding chunk
+parts = re.split(r'(\}T)', text)
+chunks = []
+buf = ""
+for p in parts:
+    buf += p
+    if p == "}T":
+        s = buf.strip()
+        if s:
+            chunks.append(s)
+        buf = ""
+if buf.strip():
+    chunks.append(buf.strip())
+chunks = chunks[:max_chunks]
+
+def esc(s):
+    s = s.replace('\\', '\\\\').replace('"', '\\"')
+    s = s.replace('\r', ' ').replace('\n', ' ')
+    s = re.sub(r'\s+', ' ', s).strip()
+    return s
+
+with open(out_path, "w") as f:
+    f.write("(define hayes-chunks (list\n")
+    for c in chunks:
+        f.write('  "' + esc(c) + '"\n')
+    f.write("))\n\n")
+    f.write("(define\n")
+    f.write("  hayes-run-all\n")
+    f.write("  (fn\n")
+    f.write("    ()\n")
+    f.write("    (hayes-reset!)\n")
+    f.write("    (let ((s (hayes-boot)))\n")
+    f.write("      (for-each (fn (c) (hayes-run-chunk s c)) hayes-chunks))\n")
+    f.write("    (hayes-summary)))\n")
+PY
+
+# 4. run it
+OUT=$(printf '(epoch 1)\n(load "lib/forth/runtime.sx")\n(epoch 2)\n(load "lib/forth/reader.sx")\n(epoch 3)\n(load "lib/forth/interpreter.sx")\n(epoch 4)\n(load "lib/forth/compiler.sx")\n(epoch 5)\n(load "lib/forth/hayes-runner.sx")\n(epoch 6)\n(load "%s")\n(epoch 7)\n(eval "(hayes-run-all)")\n' "$CHUNKS_SX" \
+  | timeout 180 "$SX_SERVER" 2>&1)
+STATUS=$?
+
+SUMMARY=$(printf '%s\n' "$OUT" | awk '/^\{:pass / {print; exit}')
+PASS=$(printf '%s' "$SUMMARY" | sed -n 's/.*:pass \([0-9-]*\).*/\1/p')
+FAIL=$(printf '%s' "$SUMMARY" | sed -n 's/.*:fail \([0-9-]*\).*/\1/p')
+ERR=$(printf '%s' "$SUMMARY" | sed -n 's/.*:error \([0-9-]*\).*/\1/p')
+TOTAL=$(printf '%s' "$SUMMARY" | sed -n 's/.*:total \([0-9-]*\).*/\1/p')
+CHUNK_COUNT=$(grep -c '^  "' "$CHUNKS_SX" || echo 0)
+TOTAL_AVAILABLE=$(grep -c '}T' "$PREPROC" || echo 0)
+
+NOW="$(date -u +%Y-%m-%dT%H:%M:%SZ)"
+
+if [ -z "$PASS" ]; then
+  PASS=0; FAIL=0; ERR=0; TOTAL=0
+  NOTE="runner halted before completing (timeout or SX error)"
+else
+  NOTE="completed"
+fi
+
+PCT=0
+if [ "$TOTAL" -gt 0 ]; then
+  PCT=$((PASS * 100 / TOTAL))
+fi
+
+cat > "$OUT_JSON" <<JSON
+{
+  "source": "gerryjackson/forth2012-test-suite src/core.fr",
+  "generated_at": "$NOW",
+  "chunks_available": $TOTAL_AVAILABLE,
+  "chunks_fed": $CHUNK_COUNT,
+  "total": $TOTAL,
+  "pass": $PASS,
+  "fail": $FAIL,
+  "error": $ERR,
+  "percent": $PCT,
+  "note": "$NOTE"
+}
+JSON
+
+cat > "$OUT_MD" <<MD
+# Forth Hayes Core scoreboard
+
+| metric            | value |
+| ----------------- | ----: |
+| chunks available  | $TOTAL_AVAILABLE |
+| chunks fed        | $CHUNK_COUNT |
+| total             | $TOTAL |
+| pass              | $PASS |
+| fail              | $FAIL |
+| error             | $ERR |
+| percent           | ${PCT}% |
+
+- **Source**: \`gerryjackson/forth2012-test-suite\` \`src/core.fr\`
+- **Generated**: $NOW
+- **Note**: $NOTE
+
+A "chunk" is any preprocessed segment ending at a \`}T\` (every Hayes test
+is one chunk, plus the small declaration blocks between tests).
+The runner catches raised errors at chunk boundaries so one bad chunk
+does not abort the rest. \`error\` covers chunks that raised; \`fail\`
+covers tests whose \`->\` / \`}T\` comparison mismatched.
+
+### Chunk cap
+
+\`conformance.sh\` processes the first \`\$MAX_CHUNKS\` chunks (default
+**638**, i.e. the whole Hayes Core file). Lower the cap temporarily
+while iterating on primitives if a regression re-opens an infinite
+loop in later tests.
+MD
+
+echo "$SUMMARY"
+echo "Scoreboard: $OUT_JSON"
+echo "           $OUT_MD"
+
+if [ "$STATUS" -ne 0 ] && [ "$TOTAL" -eq 0 ]; then
+  exit 1
+fi

lib/forth/hayes-runner.sx

@@ -0,0 +1,158 @@
+;; Hayes conformance test runner.
+;; Installs T{ -> }T as Forth primitives that snapshot and compare dstack,
+;; plus stub TESTING / HEX / DECIMAL so the Hayes Core file can stream
+;; through the interpreter without halting on unsupported metadata words.
+
+(define hayes-pass 0)
+(define hayes-fail 0)
+(define hayes-error 0)
+(define hayes-start-depth 0)
+(define hayes-actual (list))
+(define hayes-actual-set false)
+(define hayes-failures (list))
+(define hayes-first-error "")
+(define hayes-error-hist (dict))
+
+(define
+  hayes-reset!
+  (fn
+    ()
+    (set! hayes-pass 0)
+    (set! hayes-fail 0)
+    (set! hayes-error 0)
+    (set! hayes-start-depth 0)
+    (set! hayes-actual (list))
+    (set! hayes-actual-set false)
+    (set! hayes-failures (list))
+    (set! hayes-first-error "")
+    (set! hayes-error-hist (dict))))
+
+(define
+  hayes-slice
+  (fn
+    (state base)
+    (let
+      ((n (- (forth-depth state) base)))
+      (if (<= n 0) (list) (take (get state "dstack") n)))))
+
+(define
+  hayes-truncate!
+  (fn
+    (state base)
+    (let
+      ((n (- (forth-depth state) base)))
+      (when (> n 0) (dict-set! state "dstack" (drop (get state "dstack") n))))))
+
+(define
+  hayes-install!
+  (fn
+    (state)
+    (forth-def-prim!
+      state
+      "T{"
+      (fn
+        (s)
+        (set! hayes-start-depth (forth-depth s))
+        (set! hayes-actual-set false)
+        (set! hayes-actual (list))))
+    (forth-def-prim!
+      state
+      "->"
+      (fn
+        (s)
+        (set! hayes-actual (hayes-slice s hayes-start-depth))
+        (set! hayes-actual-set true)
+        (hayes-truncate! s hayes-start-depth)))
+    (forth-def-prim!
+      state
+      "}T"
+      (fn
+        (s)
+        (let
+          ((expected (hayes-slice s hayes-start-depth)))
+          (hayes-truncate! s hayes-start-depth)
+          (if
+            (and hayes-actual-set (= expected hayes-actual))
+            (set! hayes-pass (+ hayes-pass 1))
+            (begin
+              (set! hayes-fail (+ hayes-fail 1))
+              (set!
+                hayes-failures
+                (concat
+                  hayes-failures
+                  (list
+                    (dict
+                      "kind"
+                      "fail"
+                      "expected"
+                      (str expected)
+                      "actual"
+                      (str hayes-actual))))))))))
+    (forth-def-prim! state "TESTING" (fn (s) nil))
+    ;; HEX/DECIMAL are real primitives now (runtime.sx) — no stub needed.
+    state))
+
+(define
+  hayes-boot
+  (fn () (let ((s (forth-boot))) (hayes-install! s) (hayes-reset!) s)))
+
+;; Run a single preprocessed chunk (string of Forth source) on the shared
+;; state. Catch any raised error and move on — the chunk boundary is a
+;; safe resume point.
+(define
+  hayes-bump-error-key!
+  (fn
+    (err)
+    (let
+      ((msg (str err)))
+      (let
+        ((space-idx (index-of msg " ")))
+        (let
+          ((key
+            (if
+              (> space-idx 0)
+              (substr msg 0 space-idx)
+              msg)))
+          (dict-set!
+            hayes-error-hist
+            key
+            (+ 1 (or (get hayes-error-hist key) 0))))))))
+
+(define
+  hayes-run-chunk
+  (fn
+    (state src)
+    (guard
+      (err
+        ((= 1 1)
+          (begin
+            (set! hayes-error (+ hayes-error 1))
+            (when
+              (= (len hayes-first-error) 0)
+              (set! hayes-first-error (str err)))
+            (hayes-bump-error-key! err)
+            (dict-set! state "dstack" (list))
+            (dict-set! state "rstack" (list))
+            (dict-set! state "compiling" false)
+            (dict-set! state "current-def" nil)
+            (dict-set! state "cstack" (list))
+            (dict-set! state "input" (list)))))
+      (forth-interpret state src))))
+
+(define
+  hayes-summary
+  (fn
+    ()
+    (dict
+      "pass"
+      hayes-pass
+      "fail"
+      hayes-fail
+      "error"
+      hayes-error
+      "total"
+      (+ (+ hayes-pass hayes-fail) hayes-error)
+      "first-error"
+      hayes-first-error
+      "error-hist"
+      hayes-error-hist)))

lib/forth/interpreter.sx

@@ -5,7 +5,39 @@
 
 (define
   forth-execute-word
-  (fn (state word) (let ((body (get word "body"))) (body state))))
+  (fn
+    (state word)
+    (dict-set! word "call-count" (+ 1 (or (get word "call-count") 0)))
+    (let ((body (get word "body"))) (body state))))
+
+(define
+  forth-hot-words
+  (fn
+    (state threshold)
+    (forth-hot-walk
+      (keys (get state "dict"))
+      (get state "dict")
+      threshold
+      (list))))
+
+(define
+  forth-hot-walk
+  (fn
+    (names dict threshold acc)
+    (if
+      (= (len names) 0)
+      acc
+      (let
+        ((n (first names)))
+        (let
+          ((w (get dict n)))
+          (let
+            ((c (or (get w "call-count") 0)))
+            (forth-hot-walk
+              (rest names)
+              dict
+              threshold
+              (if (>= c threshold) (cons (list n c) acc) acc))))))))
 
 (define
   forth-interpret-token
@@ -17,7 +49,7 @@
         (not (nil? w))
         (forth-execute-word state w)
         (let
-          ((n (forth-parse-number tok (get state "base"))))
+          ((n (forth-parse-number tok (get (get state "vars") "base"))))
           (if
             (not (nil? n))
             (forth-push state n)

lib/forth/scoreboard.json

@@ -0,0 +1,12 @@
+{
+  "source": "gerryjackson/forth2012-test-suite src/core.fr",
+  "generated_at": "2026-05-05T21:30:21Z",
+  "chunks_available": 638,
+  "chunks_fed": 638,
+  "total": 638,
+  "pass": 632,
+  "fail": 6,
+  "error": 0,
+  "percent": 99,
+  "note": "completed"
+}

lib/forth/scoreboard.md

@@ -0,0 +1,28 @@
+# Forth Hayes Core scoreboard
+
+| metric            | value |
+| ----------------- | ----: |
+| chunks available  | 638 |
+| chunks fed        | 638 |
+| total             | 638 |
+| pass              | 632 |
+| fail              | 6 |
+| error             | 0 |
+| percent           | 99% |
+
+- **Source**: `gerryjackson/forth2012-test-suite` `src/core.fr`
+- **Generated**: 2026-05-05T21:30:21Z
+- **Note**: completed
+
+A "chunk" is any preprocessed segment ending at a `}T` (every Hayes test
+is one chunk, plus the small declaration blocks between tests).
+The runner catches raised errors at chunk boundaries so one bad chunk
+does not abort the rest. `error` covers chunks that raised; `fail`
+covers tests whose `->` / `}T` comparison mismatched.
+
+### Chunk cap
+
+`conformance.sh` processes the first `$MAX_CHUNKS` chunks (default
+**638**, i.e. the whole Hayes Core file). Lower the cap temporarily
+while iterating on primitives if a regression re-opens an infinite
+loop in later tests.

lib/forth/tests/test-phase3.sx

@@ -0,0 +1,239 @@
+;; Phase 3 — control flow (IF/ELSE/THEN, BEGIN/UNTIL/WHILE/REPEAT/AGAIN,
+;; DO/LOOP, return stack). Grows as each control construct lands.
+
+(define forth-p3-passed 0)
+(define forth-p3-failed 0)
+(define forth-p3-failures (list))
+
+(define
+  forth-p3-assert
+  (fn
+    (label expected actual)
+    (if
+      (= expected actual)
+      (set! forth-p3-passed (+ forth-p3-passed 1))
+      (begin
+        (set! forth-p3-failed (+ forth-p3-failed 1))
+        (set!
+          forth-p3-failures
+          (concat
+            forth-p3-failures
+            (list
+              (str label ": expected " (str expected) " got " (str actual)))))))))
+
+(define
+  forth-p3-check-stack
+  (fn
+    (label src expected)
+    (let ((r (forth-run src))) (forth-p3-assert label expected (nth r 2)))))
+
+(define
+  forth-p3-if-tests
+  (fn
+    ()
+    (forth-p3-check-stack
+      "IF taken (-1)"
+      ": Q -1 IF 10 THEN ; Q"
+      (list 10))
+    (forth-p3-check-stack
+      "IF not taken (0)"
+      ": Q 0 IF 10 THEN ; Q"
+      (list))
+    (forth-p3-check-stack
+      "IF with non-zero truthy"
+      ": Q 42 IF 10 THEN ; Q"
+      (list 10))
+    (forth-p3-check-stack
+      "IF ELSE — true branch"
+      ": Q -1 IF 10 ELSE 20 THEN ; Q"
+      (list 10))
+    (forth-p3-check-stack
+      "IF ELSE — false branch"
+      ": Q 0 IF 10 ELSE 20 THEN ; Q"
+      (list 20))
+    (forth-p3-check-stack
+      "IF consumes flag"
+      ": Q IF 1 ELSE 2 THEN ; 0 Q"
+      (list 2))
+    (forth-p3-check-stack
+      "absolute value via IF"
+      ": ABS2 DUP 0 < IF NEGATE THEN ; -7 ABS2"
+      (list 7))
+    (forth-p3-check-stack
+      "abs leaves positive alone"
+      ": ABS2 DUP 0 < IF NEGATE THEN ; 7 ABS2"
+      (list 7))
+    (forth-p3-check-stack
+      "sign: negative"
+      ": SIGN DUP 0 < IF DROP -1 ELSE DROP 1 THEN ; -3 SIGN"
+      (list -1))
+    (forth-p3-check-stack
+      "sign: positive"
+      ": SIGN DUP 0 < IF DROP -1 ELSE DROP 1 THEN ; 3 SIGN"
+      (list 1))
+    (forth-p3-check-stack
+      "nested IF (both true)"
+      ": Q 1 IF 1 IF 10 ELSE 20 THEN ELSE 30 THEN ; Q"
+      (list 10))
+    (forth-p3-check-stack
+      "nested IF (inner false)"
+      ": Q 1 IF 0 IF 10 ELSE 20 THEN ELSE 30 THEN ; Q"
+      (list 20))
+    (forth-p3-check-stack
+      "nested IF (outer false)"
+      ": Q 0 IF 0 IF 10 ELSE 20 THEN ELSE 30 THEN ; Q"
+      (list 30))
+    (forth-p3-check-stack
+      "IF before other ops"
+      ": Q 1 IF 5 ELSE 6 THEN 2 * ; Q"
+      (list 10))
+    (forth-p3-check-stack
+      "IF in chained def"
+      ": POS? 0 > ;
+       : DOUBLE-IF-POS DUP POS? IF 2 * THEN ;
+       3 DOUBLE-IF-POS"
+      (list 6))
+    (forth-p3-check-stack
+      "empty then branch"
+      ": Q 1 IF THEN 99 ; Q"
+      (list 99))
+    (forth-p3-check-stack
+      "empty else branch"
+      ": Q 0 IF 99 ELSE THEN ; Q"
+      (list))
+    (forth-p3-check-stack
+      "sequential IF blocks"
+      ": Q -1 IF 1 THEN -1 IF 2 THEN ; Q"
+      (list 1 2))))
+
+(define
+  forth-p3-loop-tests
+  (fn
+    ()
+    (forth-p3-check-stack
+      "BEGIN UNTIL (countdown to zero)"
+      ": CD BEGIN 1- DUP 0 = UNTIL ; 3 CD"
+      (list 0))
+    (forth-p3-check-stack
+      "BEGIN UNTIL — single pass (UNTIL true immediately)"
+      ": Q BEGIN -1 UNTIL 42 ; Q"
+      (list 42))
+    (forth-p3-check-stack
+      "BEGIN UNTIL — accumulate sum 1+2+3"
+      ": SUM3 0 3 BEGIN TUCK + SWAP 1- DUP 0 = UNTIL DROP ; SUM3"
+      (list 6))
+    (forth-p3-check-stack
+      "BEGIN WHILE REPEAT — triangular sum 5"
+      ": TRI 0 5 BEGIN DUP 0 > WHILE TUCK + SWAP 1- REPEAT DROP ; TRI"
+      (list 15))
+    (forth-p3-check-stack
+      "BEGIN WHILE REPEAT — zero iterations"
+      ": TRI 0 0 BEGIN DUP 0 > WHILE TUCK + SWAP 1- REPEAT DROP ; TRI"
+      (list 0))
+    (forth-p3-check-stack
+      "BEGIN WHILE REPEAT — one iteration"
+      ": TRI 0 1 BEGIN DUP 0 > WHILE TUCK + SWAP 1- REPEAT DROP ; TRI"
+      (list 1))
+    (forth-p3-check-stack
+      "nested BEGIN UNTIL"
+      ": INNER BEGIN 1- DUP 0 = UNTIL DROP ;
+       : OUTER BEGIN 3 INNER 1- DUP 0 = UNTIL ;
+       2 OUTER"
+      (list 0))
+    (forth-p3-check-stack
+      "BEGIN UNTIL after colon prefix"
+      ": TEN 10 ;
+       : CD TEN BEGIN 1- DUP 0 = UNTIL ;
+       CD"
+      (list 0))
+    (forth-p3-check-stack
+      "WHILE inside IF branch"
+      ": Q 1 IF 0 3 BEGIN DUP 0 > WHILE TUCK + SWAP 1- REPEAT DROP ELSE 99 THEN ; Q"
+      (list 6))))
+
+(define
+  forth-p3-do-tests
+  (fn
+    ()
+    (forth-p3-check-stack
+      "DO LOOP — simple sum 0..4"
+      ": SUM 0 5 0 DO I + LOOP ; SUM"
+      (list 10))
+    (forth-p3-check-stack
+      "DO LOOP — 10..14 sum using I"
+      ": SUM 0 15 10 DO I + LOOP ; SUM"
+      (list 60))
+    (forth-p3-check-stack
+      "DO LOOP — limit = start runs one pass"
+      ": SUM 0 5 5 DO I + LOOP ; SUM"
+      (list 5))
+    (forth-p3-check-stack
+      "DO LOOP — count iterations"
+      ": COUNT 0 4 0 DO 1+ LOOP ; COUNT"
+      (list 4))
+    (forth-p3-check-stack
+      "DO LOOP — nested, I inner / J outer"
+      ": MATRIX 0 3 0 DO 3 0 DO I J + + LOOP LOOP ; MATRIX"
+      (list 18))
+    (forth-p3-check-stack
+      "DO LOOP — I used in arithmetic"
+      ": DBL 0 5 1 DO I 2 * + LOOP ; DBL"
+      (list 20))
+    (forth-p3-check-stack
+      "+LOOP — count by 2"
+      ": Q 0 10 0 DO I + 2 +LOOP ; Q"
+      (list 20))
+    (forth-p3-check-stack
+      "+LOOP — count by 3"
+      ": Q 0 10 0 DO I + 3 +LOOP ; Q"
+      (list 18))
+    (forth-p3-check-stack
+      "+LOOP — negative step"
+      ": Q 0 0 10 DO I + -1 +LOOP ; Q"
+      (list 55))
+    (forth-p3-check-stack
+      "LEAVE — early exit at I=3"
+      ": Q 0 10 0 DO I 3 = IF LEAVE THEN I + LOOP ; Q"
+      (list 3))
+    (forth-p3-check-stack
+      "LEAVE — in nested loop exits only inner"
+      ": Q 0 3 0 DO 5 0 DO I 2 = IF LEAVE THEN I + LOOP LOOP ; Q"
+      (list 3))
+    (forth-p3-check-stack
+      "DO LOOP preserves outer stack"
+      ": Q 99 5 0 DO I + LOOP ; Q"
+      (list 109))
+    (forth-p3-check-stack
+      ">R R>"
+      ": Q 7 >R 11 R> ; Q"
+      (list 11 7))
+    (forth-p3-check-stack
+      ">R R@ R>"
+      ": Q 7 >R R@ R> ; Q"
+      (list 7 7))
+    (forth-p3-check-stack
+      "2>R 2R>"
+      ": Q 1 2 2>R 99 2R> ; Q"
+      (list 99 1 2))
+    (forth-p3-check-stack
+      "2>R 2R@ 2R>"
+      ": Q 3 4 2>R 2R@ 2R> ; Q"
+      (list 3 4 3 4))))
+
+(define
+  forth-p3-run-all
+  (fn
+    ()
+    (set! forth-p3-passed 0)
+    (set! forth-p3-failed 0)
+    (set! forth-p3-failures (list))
+    (forth-p3-if-tests)
+    (forth-p3-loop-tests)
+    (forth-p3-do-tests)
+    (dict
+      "passed"
+      forth-p3-passed
+      "failed"
+      forth-p3-failed
+      "failures"
+      forth-p3-failures)))

lib/forth/tests/test-phase4.sx

@@ -0,0 +1,268 @@
+;; Phase 4 — strings + more Core.
+;; Uses the byte-memory model on state ("mem" dict + "here" cursor).
+
+(define forth-p4-passed 0)
+(define forth-p4-failed 0)
+(define forth-p4-failures (list))
+
+(define
+  forth-p4-assert
+  (fn
+    (label expected actual)
+    (if
+      (= expected actual)
+      (set! forth-p4-passed (+ forth-p4-passed 1))
+      (begin
+        (set! forth-p4-failed (+ forth-p4-failed 1))
+        (set!
+          forth-p4-failures
+          (concat
+            forth-p4-failures
+            (list
+              (str label ": expected " (str expected) " got " (str actual)))))))))
+
+(define
+  forth-p4-check-output
+  (fn
+    (label src expected)
+    (let ((r (forth-run src))) (forth-p4-assert label expected (nth r 1)))))
+
+(define
+  forth-p4-check-stack-size
+  (fn
+    (label src expected-n)
+    (let
+      ((r (forth-run src)))
+      (forth-p4-assert label expected-n (len (nth r 2))))))
+
+(define
+  forth-p4-check-top
+  (fn
+    (label src expected)
+    (let
+      ((r (forth-run src)))
+      (let
+        ((stk (nth r 2)))
+        (forth-p4-assert label expected (nth stk (- (len stk) 1)))))))
+
+(define
+  forth-p4-check-typed
+  (fn
+    (label src expected)
+    (forth-p4-check-output label (str src " TYPE") expected)))
+
+(define
+  forth-p4-string-tests
+  (fn
+    ()
+    (forth-p4-check-typed
+      "S\" + TYPE — hello"
+      "S\" HELLO\""
+      "HELLO")
+    (forth-p4-check-typed
+      "S\" + TYPE — two words"
+      "S\" HELLO WORLD\""
+      "HELLO WORLD")
+    (forth-p4-check-typed
+      "S\" + TYPE — empty"
+      "S\" \""
+      "")
+    (forth-p4-check-typed
+      "S\" + TYPE — single char"
+      "S\" X\""
+      "X")
+    (forth-p4-check-stack-size
+      "S\" pushes (addr len)"
+      "S\" HI\""
+      2)
+    (forth-p4-check-top
+      "S\" length is correct"
+      "S\" HELLO\""
+      5)
+    (forth-p4-check-output
+      ".\" prints at interpret time"
+      ".\" HELLO\""
+      "HELLO")
+    (forth-p4-check-output
+      ".\" in colon def"
+      ": GREET .\" HI \" ; GREET GREET"
+      "HI HI ")))
+
+(define
+  forth-p4-count-tests
+  (fn
+    ()
+    (forth-p4-check-typed
+      "C\" + COUNT + TYPE"
+      "C\" ABC\" COUNT"
+      "ABC")
+    (forth-p4-check-typed
+      "C\" then COUNT leaves right len"
+      "C\" HI THERE\" COUNT"
+      "HI THERE")))
+
+(define
+  forth-p4-fill-tests
+  (fn
+    ()
+    (forth-p4-check-typed
+      "FILL overwrites prefix bytes"
+      "S\" ABCDE\" 2DUP DROP 3 65 FILL"
+      "AAADE")
+    (forth-p4-check-typed
+      "BLANK sets spaces"
+      "S\" XYZAB\" 2DUP DROP 3 BLANK"
+      "   AB")))
+
+(define
+  forth-p4-cmove-tests
+  (fn
+    ()
+    (forth-p4-check-output
+      "CMOVE copies HELLO forward"
+      ": MKH 72 0 C! 69 1 C! 76 2 C! 76 3 C! 79 4 C! ;
+       : T MKH 0 10 5 CMOVE 10 5 TYPE ; T"
+      "HELLO")
+    (forth-p4-check-output
+      "CMOVE> copies overlapping backward"
+      ": MKA 65 0 C! 66 1 C! 67 2 C! ;
+       : T MKA 0 1 2 CMOVE> 0 3 TYPE ; T"
+      "AAB")
+    (forth-p4-check-output
+      "MOVE picks direction for overlap"
+      ": MKA 65 0 C! 66 1 C! 67 2 C! ;
+       : T MKA 0 1 2 MOVE 0 3 TYPE ; T"
+      "AAB")))
+
+(define
+  forth-p4-charplus-tests
+  (fn
+    ()
+    (forth-p4-check-top
+      "CHAR+ increments"
+      "5 CHAR+"
+      6)))
+
+(define
+  forth-p4-char-tests
+  (fn
+    ()
+    (forth-p4-check-top "CHAR A -> 65" "CHAR A" 65)
+    (forth-p4-check-top "CHAR x -> 120" "CHAR x" 120)
+    (forth-p4-check-top "CHAR takes only first char" "CHAR HELLO" 72)
+    (forth-p4-check-top
+      "[CHAR] compiles literal"
+      ": AA [CHAR] A ; AA"
+      65)
+    (forth-p4-check-top
+      "[CHAR] reads past IMMEDIATE"
+      ": ZZ [CHAR] Z ; ZZ"
+      90)
+    (forth-p4-check-stack-size
+      "[CHAR] doesn't leak at compile time"
+      ": FOO [CHAR] A ; "
+      0)))
+
+(define
+  forth-p4-key-accept-tests
+  (fn
+    ()
+    (let
+      ((r (forth-run "1000 2 ACCEPT")))
+      (let ((stk (nth r 2))) (forth-p4-assert "ACCEPT empty buf -> 0" (list 0) stk)))))
+
+(define
+  forth-p4-shift-tests
+  (fn
+    ()
+    (forth-p4-check-top "1 0 LSHIFT" "1 0 LSHIFT" 1)
+    (forth-p4-check-top "1 1 LSHIFT" "1 1 LSHIFT" 2)
+    (forth-p4-check-top "1 2 LSHIFT" "1 2 LSHIFT" 4)
+    (forth-p4-check-top "1 15 LSHIFT" "1 15 LSHIFT" 32768)
+    (forth-p4-check-top "1 31 LSHIFT" "1 31 LSHIFT" -2147483648)
+    (forth-p4-check-top "1 0 RSHIFT" "1 0 RSHIFT" 1)
+    (forth-p4-check-top "1 1 RSHIFT" "1 1 RSHIFT" 0)
+    (forth-p4-check-top "2 1 RSHIFT" "2 1 RSHIFT" 1)
+    (forth-p4-check-top "4 2 RSHIFT" "4 2 RSHIFT" 1)
+    (forth-p4-check-top "-1 1 RSHIFT (logical, not arithmetic)" "-1 1 RSHIFT" 2147483647)
+    (forth-p4-check-top "MSB via 1S 1 RSHIFT INVERT" "0 INVERT 1 RSHIFT INVERT" -2147483648)))
+
+(define
+  forth-p4-sp-tests
+  (fn
+    ()
+    (forth-p4-check-top "SP@ returns depth (0)" "SP@" 0)
+    (forth-p4-check-top
+      "SP@ after pushes"
+      "1 2 3 SP@ SWAP DROP SWAP DROP SWAP DROP"
+      3)
+    (forth-p4-check-stack-size
+      "SP! truncates"
+      "1 2 3 4 5 2 SP!"
+      2)
+    (forth-p4-check-top
+      "SP! leaves base items intact"
+      "1 2 3 4 5 2 SP!"
+      2)))
+
+(define
+  forth-p4-base-tests
+  (fn
+    ()
+    (forth-p4-check-top
+      "BASE default is 10"
+      "BASE @"
+      10)
+    (forth-p4-check-top
+      "HEX switches base to 16"
+      "HEX BASE @"
+      16)
+    (forth-p4-check-top
+      "DECIMAL resets to 10"
+      "HEX DECIMAL BASE @"
+      10)
+    (forth-p4-check-top
+      "HEX parses 10 as 16"
+      "HEX 10"
+      16)
+    (forth-p4-check-top
+      "HEX parses FF as 255"
+      "HEX FF"
+      255)
+    (forth-p4-check-top
+      "DECIMAL parses 10 as 10"
+      "HEX DECIMAL 10"
+      10)
+    (forth-p4-check-top
+      "OCTAL parses 17 as 15"
+      "OCTAL 17"
+      15)
+    (forth-p4-check-top
+      "BASE @ ; 16 BASE ! ; BASE @"
+      "BASE @ 16 BASE ! BASE @ SWAP DROP"
+      16)))
+
+(define
+  forth-p4-run-all
+  (fn
+    ()
+    (set! forth-p4-passed 0)
+    (set! forth-p4-failed 0)
+    (set! forth-p4-failures (list))
+    (forth-p4-string-tests)
+    (forth-p4-count-tests)
+    (forth-p4-fill-tests)
+    (forth-p4-cmove-tests)
+    (forth-p4-charplus-tests)
+    (forth-p4-char-tests)
+    (forth-p4-key-accept-tests)
+    (forth-p4-base-tests)
+    (forth-p4-shift-tests)
+    (forth-p4-sp-tests)
+    (dict
+      "passed"
+      forth-p4-passed
+      "failed"
+      forth-p4-failed
+      "failures"
+      forth-p4-failures)))

lib/forth/tests/test-phase5.sx

@@ -0,0 +1,333 @@
+;; Phase 5 — Core Extension + memory primitives.
+
+(define forth-p5-passed 0)
+(define forth-p5-failed 0)
+(define forth-p5-failures (list))
+
+(define
+  forth-p5-assert
+  (fn
+    (label expected actual)
+    (if
+      (= expected actual)
+      (set! forth-p5-passed (+ forth-p5-passed 1))
+      (begin
+        (set! forth-p5-failed (+ forth-p5-failed 1))
+        (set!
+          forth-p5-failures
+          (concat
+            forth-p5-failures
+            (list
+              (str label ": expected " (str expected) " got " (str actual)))))))))
+
+(define
+  forth-p5-check-stack
+  (fn
+    (label src expected)
+    (let ((r (forth-run src))) (forth-p5-assert label expected (nth r 2)))))
+
+(define
+  forth-p5-check-top
+  (fn
+    (label src expected)
+    (let
+      ((r (forth-run src)))
+      (let
+        ((stk (nth r 2)))
+        (forth-p5-assert label expected (nth stk (- (len stk) 1)))))))
+
+(define
+  forth-p5-create-tests
+  (fn
+    ()
+    (forth-p5-check-top
+      "CREATE pushes HERE-at-creation"
+      "HERE CREATE FOO FOO ="
+      -1)
+    (forth-p5-check-top
+      "CREATE + ALLOT advances HERE"
+      "HERE 5 ALLOT HERE SWAP -"
+      5)
+    (forth-p5-check-top
+      "CREATE + , stores cell"
+      "CREATE FOO 42 , FOO @"
+      42)
+    (forth-p5-check-stack
+      "CREATE multiple ,"
+      "CREATE TBL 1 , 2 , 3 , TBL @ TBL CELL+ @ TBL CELL+ CELL+ @"
+      (list 1 2 3))
+    (forth-p5-check-top
+      "C, stores byte"
+      "CREATE B 65 C, 66 C, B C@"
+      65)))
+
+(define
+  forth-p5-unsigned-tests
+  (fn
+    ()
+    (forth-p5-check-top "1 2 U<" "1 2 U<" -1)
+    (forth-p5-check-top "2 1 U<" "2 1 U<" 0)
+    (forth-p5-check-top "0 1 U<" "0 1 U<" -1)
+    (forth-p5-check-top "-1 1 U< (since -1 unsigned is huge)" "-1 1 U<" 0)
+    (forth-p5-check-top "1 -1 U<" "1 -1 U<" -1)
+    (forth-p5-check-top "1 2 U>" "1 2 U>" 0)
+    (forth-p5-check-top "-1 1 U>" "-1 1 U>" -1)))
+
+(define
+  forth-p5-2bang-tests
+  (fn
+    ()
+    (forth-p5-check-stack
+      "2! / 2@"
+      "CREATE X 0 , 0 , 11 22 X 2! X 2@"
+      (list 11 22))))
+
+(define
+  forth-p5-mixed-tests
+  (fn
+    ()
+    (forth-p5-check-stack "S>D positive" "5 S>D" (list 5 0))
+    (forth-p5-check-stack "S>D negative" "-5 S>D" (list -5 -1))
+    (forth-p5-check-stack "S>D zero" "0 S>D" (list 0 0))
+    (forth-p5-check-top "D>S keeps low" "5 0 D>S" 5)
+    (forth-p5-check-stack "M* small positive" "3 4 M*" (list 12 0))
+    (forth-p5-check-stack "M* negative" "-3 4 M*" (list -12 -1))
+    (forth-p5-check-stack
+      "M* negative * negative"
+      "-3 -4 M*"
+      (list 12 0))
+    (forth-p5-check-stack "UM* small" "3 4 UM*" (list 12 0))
+    (forth-p5-check-stack
+      "UM/MOD: 100 0 / 5"
+      "100 0 5 UM/MOD"
+      (list 0 20))
+    (forth-p5-check-stack
+      "FM/MOD: -7 / 2 floored"
+      "-7 -1 2 FM/MOD"
+      (list 1 -4))
+    (forth-p5-check-stack
+      "SM/REM: -7 / 2 truncated"
+      "-7 -1 2 SM/REM"
+      (list -1 -3))
+    (forth-p5-check-top "*/ truncated" "7 11 13 */" 5)
+    (forth-p5-check-stack "*/MOD" "7 11 13 */MOD" (list 12 5))))
+
+(define
+  forth-p5-double-tests
+  (fn
+    ()
+    (forth-p5-check-stack "D+ small" "5 0 7 0 D+" (list 12 0))
+    (forth-p5-check-stack "D+ negative" "-5 -1 -3 -1 D+" (list -8 -1))
+    (forth-p5-check-stack "D- small" "10 0 3 0 D-" (list 7 0))
+    (forth-p5-check-stack "DNEGATE positive" "5 0 DNEGATE" (list -5 -1))
+    (forth-p5-check-stack "DNEGATE negative" "-5 -1 DNEGATE" (list 5 0))
+    (forth-p5-check-stack "DABS negative" "-7 -1 DABS" (list 7 0))
+    (forth-p5-check-stack "DABS positive" "7 0 DABS" (list 7 0))
+    (forth-p5-check-top "D= equal" "5 0 5 0 D=" -1)
+    (forth-p5-check-top "D= unequal lo" "5 0 7 0 D=" 0)
+    (forth-p5-check-top "D= unequal hi" "5 0 5 1 D=" 0)
+    (forth-p5-check-top "D< lt" "5 0 7 0 D<" -1)
+    (forth-p5-check-top "D< gt" "7 0 5 0 D<" 0)
+    (forth-p5-check-top "D0= zero" "0 0 D0=" -1)
+    (forth-p5-check-top "D0= nonzero" "5 0 D0=" 0)
+    (forth-p5-check-top "D0< neg" "-5 -1 D0<" -1)
+    (forth-p5-check-top "D0< pos" "5 0 D0<" 0)
+    (forth-p5-check-stack "DMAX" "5 0 7 0 DMAX" (list 7 0))
+    (forth-p5-check-stack "DMIN" "5 0 7 0 DMIN" (list 5 0))))
+
+(define
+  forth-p5-format-tests
+  (fn
+    ()
+    (forth-p4-check-output-passthrough
+      "U. prints with trailing space"
+      "123 U."
+      "123 ")
+    (forth-p4-check-output-passthrough
+      "<# #S #> TYPE — decimal"
+      "123 0 <# #S #> TYPE"
+      "123")
+    (forth-p4-check-output-passthrough
+      "<# #S #> TYPE — hex"
+      "255 HEX 0 <# #S #> TYPE"
+      "FF")
+    (forth-p4-check-output-passthrough
+      "<# # # #> partial"
+      "1234 0 <# # # #> TYPE"
+      "34")
+    (forth-p4-check-output-passthrough
+      "SIGN holds minus"
+      "<# -1 SIGN -1 SIGN 0 0 #> TYPE"
+      "--")
+    (forth-p4-check-output-passthrough
+      ".R right-justifies"
+      "42 5 .R"
+      "   42")
+    (forth-p4-check-output-passthrough
+      ".R negative"
+      "-42 5 .R"
+      "  -42")
+    (forth-p4-check-output-passthrough
+      "U.R"
+      "42 5 U.R"
+      "   42")
+    (forth-p4-check-output-passthrough
+      "HOLD char"
+      "<# 0 0 65 HOLD #> TYPE"
+      "A")))
+
+(define
+  forth-p5-dict-tests
+  (fn
+    ()
+    (forth-p5-check-top
+      "EXECUTE via tick"
+      ": INC 1+ ; 9 ' INC EXECUTE"
+      10)
+    (forth-p5-check-top
+      "['] inside def"
+      ": DUB 2* ; : APPLY ['] DUB EXECUTE ; 5 APPLY"
+      10)
+    (forth-p5-check-top
+      ">BODY of CREATE word"
+      "CREATE C 99 , ' C >BODY @"
+      99)
+    (forth-p5-check-stack
+      "WORD parses next token to counted-string"
+      ": A 5 ; BL WORD A COUNT TYPE"
+      (list))
+    (forth-p5-check-top
+      "FIND on known word -> non-zero"
+      ": A 5 ; BL WORD A FIND SWAP DROP"
+      -1)))
+
+(define
+  forth-p5-state-tests
+  (fn
+    ()
+    (forth-p5-check-top
+      "STATE @ in interpret mode"
+      "STATE @"
+      0)
+    (forth-p5-check-top
+      "STATE @ via IMMEDIATE inside compile"
+      ": GT8 STATE @ ; IMMEDIATE : T GT8 LITERAL ; T"
+      -1)
+    (forth-p5-check-top
+      "[ ] LITERAL captures"
+      ": SEVEN [ 7 ] LITERAL ; SEVEN"
+      7)
+    (forth-p5-check-top
+      "EVALUATE in interpret mode"
+      "S\" 5 7 +\" EVALUATE"
+      12)
+    (forth-p5-check-top
+      "EVALUATE inside def"
+      ": A 100 ; : B S\" A\" EVALUATE ; B"
+      100)))
+
+(define
+  forth-p5-misc-tests
+  (fn
+    ()
+    (forth-p5-check-top "WITHIN inclusive lower" "3 2 10 WITHIN" -1)
+    (forth-p5-check-top "WITHIN exclusive upper" "10 2 10 WITHIN" 0)
+    (forth-p5-check-top "WITHIN below range" "1 2 10 WITHIN" 0)
+    (forth-p5-check-top "WITHIN at lower" "2 2 10 WITHIN" -1)
+    (forth-p5-check-top
+      "EXIT leaves colon-def early"
+      ": F 5 EXIT 99 ; F"
+      5)
+    (forth-p5-check-stack
+      "EXIT in IF branch"
+      ": F 5 0 IF DROP 99 EXIT THEN ; F"
+      (list 5))
+    (forth-p5-check-top
+      "UNLOOP + EXIT in DO"
+      ": SUM 0 10 0 DO I 5 = IF I UNLOOP EXIT THEN LOOP ; SUM"
+      5)))
+
+(define
+  forth-p5-fa-tests
+  (fn
+    ()
+    (forth-p5-check-top
+      "R/O R/W W/O constants"
+      "R/O R/W W/O + +"
+      3)
+    (forth-p5-check-top
+      "CREATE-FILE returns ior=0"
+      "CREATE PAD 50 ALLOT PAD S\" /tmp/test.fxf\" ROT SWAP CMOVE S\" /tmp/test.fxf\" R/W CREATE-FILE SWAP DROP"
+      0)
+    (forth-p5-check-top
+      "WRITE-FILE then CLOSE"
+      "S\" /tmp/t2.fxf\" R/W CREATE-FILE DROP >R S\" HI\" R@ WRITE-FILE R> CLOSE-FILE +"
+      0)
+    (forth-p5-check-top
+      "OPEN-FILE on unknown path returns ior!=0"
+      "S\" /tmp/nope.fxf\" R/O OPEN-FILE SWAP DROP 0 ="
+      0)))
+
+(define
+  forth-p5-string-tests
+  (fn
+    ()
+    (forth-p5-check-top "COMPARE equal" "S\" ABC\" S\" ABC\" COMPARE" 0)
+    (forth-p5-check-top "COMPARE less" "S\" ABC\" S\" ABD\" COMPARE" -1)
+    (forth-p5-check-top "COMPARE greater" "S\" ABD\" S\" ABC\" COMPARE" 1)
+    (forth-p5-check-top
+      "COMPARE prefix less"
+      "S\" AB\" S\" ABC\" COMPARE"
+      -1)
+    (forth-p5-check-top
+      "COMPARE prefix greater"
+      "S\" ABC\" S\" AB\" COMPARE"
+      1)
+    (forth-p5-check-top
+      "SEARCH found flag"
+      "S\" HELLO WORLD\" S\" WORLD\" SEARCH"
+      -1)
+    (forth-p5-check-top
+      "SEARCH not found flag"
+      "S\" HELLO\" S\" XYZ\" SEARCH"
+      0)
+    (forth-p5-check-top
+      "SEARCH empty needle flag"
+      "S\" HELLO\" S\" \" SEARCH"
+      -1)
+    (forth-p5-check-top
+      "SLITERAL via [ S\" ... \" ]"
+      ": A [ S\" HI\" ] SLITERAL ; A SWAP DROP"
+      2)))
+
+(define
+  forth-p4-check-output-passthrough
+  (fn
+    (label src expected)
+    (let ((r (forth-run src))) (forth-p5-assert label expected (nth r 1)))))
+
+(define
+  forth-p5-run-all
+  (fn
+    ()
+    (set! forth-p5-passed 0)
+    (set! forth-p5-failed 0)
+    (set! forth-p5-failures (list))
+    (forth-p5-create-tests)
+    (forth-p5-unsigned-tests)
+    (forth-p5-2bang-tests)
+    (forth-p5-mixed-tests)
+    (forth-p5-double-tests)
+    (forth-p5-format-tests)
+    (forth-p5-dict-tests)
+    (forth-p5-state-tests)
+    (forth-p5-misc-tests)
+    (forth-p5-fa-tests)
+    (forth-p5-string-tests)
+    (dict
+      "passed"
+      forth-p5-passed
+      "failed"
+      forth-p5-failed
+      "failures"
+      forth-p5-failures)))

lib/guest/hm.sx

@@ -0,0 +1,180 @@
+;; lib/guest/hm.sx — Hindley-Milner type-inference foundations.
+;;
+;; Builds on lib/guest/match.sx (terms + unify) and ast.sx (canonical
+;; AST shapes). This file ships the ALGEBRA — types, schemes, free
+;; type-vars, generalize / instantiate, substitution composition — so a
+;; full Algorithm W (or J) can be assembled on top either inside this
+;; file or in a host-specific consumer (haskell/infer.sx,
+;; lib/ocaml/types.sx, …).
+;;
+;; Per the brief the second consumer for this step is OCaml-on-SX
+;; Phase 5 (paired sequencing). Until that lands, the algebra is the
+;; deliverable; the host-flavoured assembly (lambda / app / let
+;; inference rules with substitution threading) lives in the host.
+;;
+;; Types
+;; -----
+;; A type is a canonical match.sx term — type variables use mk-var,
+;; type constructors use mk-ctor:
+;;   (hm-tv NAME)              type variable
+;;   (hm-arrow A B)             A -> B
+;;   (hm-con NAME ARGS)         named n-ary constructor
+;;   (hm-int) / (hm-bool) / (hm-string)   primitive constructors
+;;
+;; Schemes
+;; -------
+;;   (hm-scheme VARS TYPE)        ∀ VARS . TYPE
+;;   (hm-monotype TYPE)           empty quantifier
+;;   (hm-scheme? S) (hm-scheme-vars S) (hm-scheme-type S)
+;;
+;; Free type variables
+;; -------------------
+;;   (hm-ftv TYPE)                names occurring in TYPE
+;;   (hm-ftv-scheme S)            free names (minus quantifiers)
+;;   (hm-ftv-env ENV)             free across an env (name -> scheme)
+;;
+;; Substitution
+;; ------------
+;;   (hm-apply SUBST TYPE)        substitute through a type
+;;   (hm-apply-scheme SUBST S)    leaves bound vars alone
+;;   (hm-apply-env SUBST ENV)
+;;   (hm-compose S2 S1)           apply S1 then S2
+;;
+;; Generalize / Instantiate
+;; ------------------------
+;;   (hm-generalize TYPE ENV)      → scheme over ftv(t) - ftv(env)
+;;   (hm-instantiate SCHEME COUNTER) → fresh-var instance
+;;   (hm-fresh-tv COUNTER)         → (:var "tN"), bumps COUNTER
+;;
+;; Inference (literal only — the rest of Algorithm W lives in the host)
+;; --------------------------------------------------------------------
+;;   (hm-infer-literal EXPR)       → {:subst {} :type T}
+;;
+;; A complete Algorithm W consumes this kit by assembling lambda / app
+;; / let rules in the host language file.
+
+(define hm-tv     (fn (name) (list :var name)))
+(define hm-con    (fn (name args) (list :ctor name args)))
+(define hm-arrow  (fn (a b) (hm-con "->" (list a b))))
+(define hm-int    (fn () (hm-con "Int" (list))))
+(define hm-bool   (fn () (hm-con "Bool" (list))))
+(define hm-string (fn () (hm-con "String" (list))))
+
+(define hm-scheme        (fn (vars t) (list :scheme vars t)))
+(define hm-monotype      (fn (t) (hm-scheme (list) t)))
+(define hm-scheme?       (fn (s) (and (list? s) (not (empty? s)) (= (first s) :scheme))))
+(define hm-scheme-vars   (fn (s) (nth s 1)))
+(define hm-scheme-type   (fn (s) (nth s 2)))
+
+(define
+  hm-fresh-tv
+  (fn (counter)
+    (let ((n (first counter)))
+      (begin
+        (set-nth! counter 0 (+ n 1))
+        (hm-tv (str "t" (+ n 1)))))))
+
+(define
+  hm-ftv-acc
+  (fn (t acc)
+    (cond
+      ((is-var? t)
+        (if (some (fn (n) (= n (var-name t))) acc) acc (cons (var-name t) acc)))
+      ((is-ctor? t)
+        (let ((a acc))
+          (begin
+            (for-each (fn (x) (set! a (hm-ftv-acc x a))) (ctor-args t))
+            a)))
+      (:else acc))))
+
+(define hm-ftv (fn (t) (hm-ftv-acc t (list))))
+
+(define
+  hm-ftv-scheme
+  (fn (s)
+    (let ((qs (hm-scheme-vars s))
+          (all (hm-ftv (hm-scheme-type s))))
+      (filter (fn (n) (not (some (fn (q) (= q n)) qs))) all))))
+
+(define
+  hm-ftv-env
+  (fn (env)
+    (let ((acc (list)))
+      (begin
+        (for-each
+          (fn (k)
+            (for-each
+              (fn (n)
+                (when (not (some (fn (m) (= m n)) acc))
+                  (set! acc (cons n acc))))
+              (hm-ftv-scheme (get env k))))
+          (keys env))
+        acc))))
+
+(define hm-apply (fn (subst t) (walk* t subst)))
+
+(define
+  hm-apply-scheme
+  (fn (subst s)
+    (let ((qs (hm-scheme-vars s))
+          (d {}))
+      (begin
+        (for-each
+          (fn (k)
+            (when (not (some (fn (q) (= q k)) qs))
+              (dict-set! d k (get subst k))))
+          (keys subst))
+        (hm-scheme qs (walk* (hm-scheme-type s) d))))))
+
+(define
+  hm-apply-env
+  (fn (subst env)
+    (let ((d {}))
+      (begin
+        (for-each
+          (fn (k) (dict-set! d k (hm-apply-scheme subst (get env k))))
+          (keys env))
+        d))))
+
+(define
+  hm-compose
+  (fn (s2 s1)
+    (let ((d {}))
+      (begin
+        (for-each (fn (k) (dict-set! d k (walk* (get s1 k) s2))) (keys s1))
+        (for-each
+          (fn (k) (when (not (has-key? d k)) (dict-set! d k (get s2 k))))
+          (keys s2))
+        d))))
+
+(define
+  hm-generalize
+  (fn (t env)
+    (let ((tvars (hm-ftv t))
+          (evars (hm-ftv-env env)))
+      (let ((qs (filter (fn (n) (not (some (fn (m) (= m n)) evars))) tvars)))
+        (hm-scheme qs t)))))
+
+(define
+  hm-instantiate
+  (fn (s counter)
+    (let ((qs (hm-scheme-vars s))
+          (subst {}))
+      (begin
+        (for-each
+          (fn (q) (set! subst (assoc subst q (hm-fresh-tv counter))))
+          qs)
+        (walk* (hm-scheme-type s) subst)))))
+
+;; Literal inference — the only AST kind whose typing rule is closed
+;; in the kit. Lambda / app / let live in host code so the host's own
+;; AST conventions stay untouched.
+(define
+  hm-infer-literal
+  (fn (expr)
+    (let ((v (ast-literal-value expr)))
+      (cond
+        ((number? v)  {:subst {} :type (hm-int)})
+        ((string? v)  {:subst {} :type (hm-string)})
+        ((boolean? v) {:subst {} :type (hm-bool)})
+        (:else (error (str "hm-infer-literal: unknown kind: " v)))))))

lib/guest/layout.sx

@@ -0,0 +1,145 @@
+;; lib/guest/layout.sx — configurable off-side / layout-sensitive lexer.
+;;
+;; Inserts virtual open / close / separator tokens based on indentation.
+;; Configurable enough to encode either the Haskell 98 layout rule (let /
+;; where / do / of opens a virtual brace at the next token's column) or
+;; a Python-ish indent / dedent rule (a colon at the end of a line opens
+;; a block at the next non-blank line's column).
+;;
+;; Token shape (input + output)
+;; ----------------------------
+;; Each token is a dict {:type :value :line :col …}. The kit reads
+;; only :type / :value / :line / :col and passes everything else
+;; through. The input stream MUST be free of newline filler tokens
+;; (preprocess them away with your tokenizer) — line breaks are detected
+;; by comparing :line of consecutive tokens.
+;;
+;; Config
+;; ------
+;;   :open-keywords    list of strings; a token whose :value matches
+;;                     opens a new layout block at the next token's
+;;                     column (Haskell: let/where/do/of).
+;;   :open-trailing-fn (fn (tok) -> bool) — alternative trigger that
+;;                     fires AFTER the token is emitted. Use for
+;;                     Python-style trailing `:`.
+;;   :open-token / :close-token / :sep-token
+;;                     templates {:type :value} merged with :line and
+;;                     :col when virtual tokens are emitted.
+;;   :explicit-open?   (fn (tok) -> bool) — if the next token after a
+;;                     trigger satisfies this, suppress virtual layout
+;;                     for that block (Haskell: `{`).
+;;   :module-prelude?  if true, wrap whole input in an implicit block
+;;                     at the first token's column (Haskell yes,
+;;                     Python no).
+;;
+;; Public entry
+;; ------------
+;;   (layout-pass cfg tokens) -> tokens with virtual layout inserted.
+
+(define
+  layout-mk-virtual
+  (fn (template line col)
+    (assoc (assoc template :line line) :col col)))
+
+(define
+  layout-is-open-kw?
+  (fn (tok open-kws)
+    (and (= (get tok :type) "reserved")
+         (some (fn (k) (= k (get tok :value))) open-kws))))
+
+(define
+  layout-pass
+  (fn (cfg tokens)
+    (let ((open-kws (get cfg :open-keywords))
+          (trailing-fn (get cfg :open-trailing-fn))
+          (open-tmpl (get cfg :open-token))
+          (close-tmpl (get cfg :close-token))
+          (sep-tmpl (get cfg :sep-token))
+          (mod-prelude? (get cfg :module-prelude?))
+          (expl?-fn (get cfg :explicit-open?))
+          (out (list))
+          (stack (list))
+          (n (len tokens))
+          (i 0)
+          (prev-line -1)
+          (pending-open false)
+          (just-opened false))
+      (define
+        emit-closes-while-greater
+        (fn (col line)
+          (when (and (not (empty? stack)) (> (first stack) col))
+            (do
+              (append! out (layout-mk-virtual close-tmpl line col))
+              (set! stack (rest stack))
+              (emit-closes-while-greater col line)))))
+      (define
+        emit-pending-open
+        (fn (line col)
+          (do
+            (append! out (layout-mk-virtual open-tmpl line col))
+            (set! stack (cons col stack))
+            (set! pending-open false)
+            (set! just-opened true))))
+      (define
+        layout-step
+        (fn ()
+          (when (< i n)
+            (let ((tok (nth tokens i)))
+              (let ((line (get tok :line)) (col (get tok :col)))
+                (cond
+                  (pending-open
+                    (cond
+                      ((and (not (= expl?-fn nil)) (expl?-fn tok))
+                        (do
+                          (set! pending-open false)
+                          (append! out tok)
+                          (set! prev-line line)
+                          (set! i (+ i 1))
+                          (layout-step)))
+                      (:else
+                        (do
+                          (emit-pending-open line col)
+                          (layout-step)))))
+                  (:else
+                    (let ((on-fresh-line? (and (> prev-line 0) (> line prev-line))))
+                      (do
+                        (when on-fresh-line?
+                          (let ((stack-before stack))
+                            (begin
+                              (emit-closes-while-greater col line)
+                              (when (and (not (empty? stack))
+                                         (= (first stack) col)
+                                         (not just-opened)
+                                         ;; suppress separator if a dedent fired
+                                         ;; — the dedent is itself the separator
+                                         (= (len stack) (len stack-before)))
+                                (append! out (layout-mk-virtual sep-tmpl line col))))))
+                        (set! just-opened false)
+                        (append! out tok)
+                        (set! prev-line line)
+                        (set! i (+ i 1))
+                        (cond
+                          ((layout-is-open-kw? tok open-kws)
+                            (set! pending-open true))
+                          ((and (not (= trailing-fn nil)) (trailing-fn tok))
+                            (set! pending-open true)))
+                        (layout-step))))))))))
+      (begin
+        ;; Module prelude: implicit layout block at the first token's column.
+        (when (and mod-prelude? (> n 0))
+          (let ((tok (nth tokens 0)))
+            (do
+              (append! out (layout-mk-virtual open-tmpl (get tok :line) (get tok :col)))
+              (set! stack (cons (get tok :col) stack))
+              (set! just-opened true))))
+        (layout-step)
+        ;; EOF: close every remaining block.
+        (define close-rest
+          (fn ()
+            (when (not (empty? stack))
+              (do
+                (append! out (layout-mk-virtual close-tmpl 0 0))
+                (set! stack (rest stack))
+                (close-rest)))))
+        (close-rest)
+        out))))

lib/guest/reflective/class-chain.sx

@@ -0,0 +1,129 @@
+;; lib/guest/reflective/class-chain.sx — class inheritance walker.
+;;
+;; Extracted from Smalltalk's `st-method-lookup-walk` (single-parent
+;; class chain for message-send dispatch) and CLOS's `clos-specificity`
+;; (multi-parent class graph for method-precedence distance). Both walk
+;; a class-name → parent-name(s) graph applying a probe at each node;
+;; the cfg adapter normalises single-parent and multi-parent classes
+;; into a uniform `:parents-of` callback that returns a (possibly
+;; empty) list of parent class names.
+;;
+;; Adapter cfg
+;; -----------
+;;   :parents-of  — fn (class-name) → list of parent class names.
+;;                  Empty list = no parents (root). Single-parent guests
+;;                  return a 1-element list; multi-parent guests (CLOS)
+;;                  may return any number.
+;;   :class?      — fn (name) → bool. False short-circuits the walk —
+;;                  used to skip non-existent class names mid-chain.
+;;
+;; Public API
+;;   (refl-class-chain-find-with CFG CLASS-NAME PROBE)
+;;     Depth-first walk from CLASS-NAME up its parent chain. At each
+;;     class, calls `(probe class-name)`. Returns the first non-nil
+;;     probe result, or nil if no class produces one. Probes evaluate
+;;     left-to-right across siblings in multi-parent guests.
+;;
+;;   (refl-class-chain-depth-with CFG CLASS-NAME ANCESTOR-NAME)
+;;     Minimum hop count from CLASS-NAME to ANCESTOR-NAME along any
+;;     parent path. CLASS-NAME itself counts as depth 0. Returns nil
+;;     if ANCESTOR-NAME is unreachable.
+;;
+;;   (refl-class-chain-ancestors-with CFG CLASS-NAME)
+;;     Flat list of all reachable ancestor names in DFS order (no
+;;     dedup; multi-parent guests may want to dedup themselves).
+;;
+;; Consumer migrations
+;; -------------------
+;; - Smalltalk: see `lib/smalltalk/runtime.sx` — `st-method-lookup-walk`
+;;   becomes a one-line probe through `refl-class-chain-find-with`.
+;; - CLOS: see `lib/common-lisp/clos.sx` — `clos-specificity` becomes a
+;;   thin wrapper around `refl-class-chain-depth-with`.
+
+(define
+  refl-find-in-parents-with
+  (fn
+    (cfg parents probe)
+    (cond
+      ((or (nil? parents) (= (length parents) 0)) nil)
+      (:else
+        (let
+          ((hit (refl-class-chain-find-with cfg (first parents) probe)))
+          (cond
+            ((not (nil? hit)) hit)
+            (:else (refl-find-in-parents-with cfg (rest parents) probe))))))))
+
+(define
+  refl-class-chain-find-with
+  (fn
+    (cfg class-name probe)
+    (cond
+      ((nil? class-name) nil)
+      ((not ((get cfg :class?) class-name)) nil)
+      (:else
+        (let
+          ((hit (probe class-name)))
+          (cond
+            ((not (nil? hit)) hit)
+            (:else
+              (refl-find-in-parents-with
+                cfg
+                ((get cfg :parents-of) class-name)
+                probe))))))))
+
+(define
+  refl-class-chain-depth-walk
+  (fn
+    (cfg cur target depth)
+    (cond
+      ((= cur target) depth)
+      ((nil? cur) nil)
+      ((not ((get cfg :class?) cur)) nil)
+      (:else
+        (let
+          ((parents ((get cfg :parents-of) cur)))
+          (let
+            ((results (map (fn (p) (refl-class-chain-depth-walk cfg p target (+ depth 1))) parents)))
+            (let
+              ((non-nil (filter (fn (x) (not (nil? x))) results)))
+              (cond
+                ((or (nil? non-nil) (= (length non-nil) 0)) nil)
+                (:else
+                  (reduce
+                    (fn (a b) (if (< a b) a b))
+                    (first non-nil)
+                    (rest non-nil)))))))))))
+
+(define
+  refl-class-chain-depth-with
+  (fn
+    (cfg class-name ancestor-name)
+    (refl-class-chain-depth-walk cfg class-name ancestor-name 0)))
+
+(define
+  refl-class-chain-ancestors-with
+  (fn (cfg class-name) (refl-ancestors-walk cfg class-name (list))))
+
+(define
+  refl-ancestors-walk
+  (fn
+    (cfg cn acc)
+    (cond
+      ((nil? cn) acc)
+      ((not ((get cfg :class?) cn)) acc)
+      (:else
+        (let
+          ((parents ((get cfg :parents-of) cn)))
+          (refl-ancestors-walk-list cfg parents (append acc (list cn))))))))
+
+(define
+  refl-ancestors-walk-list
+  (fn
+    (cfg parents acc)
+    (cond
+      ((or (nil? parents) (= (length parents) 0)) acc)
+      (:else
+        (refl-ancestors-walk-list
+          cfg
+          (rest parents)
+          (refl-ancestors-walk cfg (first parents) acc))))))

lib/guest/reflective/env.sx

@@ -0,0 +1,159 @@
+;; lib/guest/reflective/env.sx — first-class environment kit.
+;;
+;; Extracted from Kernel-on-SX (lib/kernel/eval.sx) when Tcl's
+;; uplevel/upvar machinery (lib/tcl/runtime.sx) materialised as a
+;; second consumer needing the same scope-chain semantics.
+;;
+;; Canonical wire shape
+;; --------------------
+;;   {:refl-tag :env :bindings DICT :parent ENV-OR-NIL}
+;;
+;;   - :bindings is a mutable SX dict keyed by symbol name.
+;;   - :parent is either another env or nil (root).
+;;   - Lookup walks the parent chain until a hit or nil.
+;;   - Default cfg uses dict-set! to mutate bindings in place.
+;;
+;; Consumers with their own shape (e.g., Tcl's {:level :locals :parent})
+;; pass an adapter cfg dict — same trick as lib/guest/match.sx's cfg
+;; for unification over guest-specific term shapes.
+;;
+;; Adapter cfg keys
+;; ----------------
+;;   :bindings-of  — fn (scope) → DICT
+;;   :parent-of    — fn (scope) → SCOPE-OR-NIL
+;;   :extend       — fn (scope) → SCOPE         (push a fresh child)
+;;   :bind!        — fn (scope name val) → scope (functional or mutable)
+;;   :env?         — fn (v) → bool              (predicate; cheap shape check)
+;;
+;; Public API — canonical shape, mutable, raises on miss
+;;
+;;   (refl-make-env)
+;;   (refl-extend-env PARENT)
+;;   (refl-env? V)
+;;   (refl-env-bind! ENV NAME VAL)
+;;   (refl-env-has? ENV NAME)
+;;   (refl-env-lookup ENV NAME)
+;;   (refl-env-lookup-or-nil ENV NAME)
+;;
+;; Public API — adapter-cfg, any shape
+;;
+;;   (refl-env-extend-with CFG SCOPE)
+;;   (refl-env-bind!-with  CFG SCOPE NAME VAL)
+;;   (refl-env-has?-with   CFG SCOPE NAME)
+;;   (refl-env-lookup-with CFG SCOPE NAME)
+;;   (refl-env-lookup-or-nil-with CFG SCOPE NAME)
+;;   (refl-env-find-frame-with CFG SCOPE NAME)
+;;     — returns the scope in the chain that contains NAME (or nil).
+;;       Consumers needing source-frame mutation use this.
+;;
+;;   (refl-canonical-cfg) — the default cfg, exposed so consumers
+;;                          can compare or extend it.
+
+;; ── Canonical-shape predicates and constructors ─────────────────
+
+(define refl-env? (fn (v) (and (dict? v) (= (get v :refl-tag) :env))))
+
+(define refl-make-env (fn () {:parent nil :refl-tag :env :bindings {}}))
+
+(define refl-extend-env (fn (parent) {:parent parent :refl-tag :env :bindings {}}))
+
+(define
+  refl-env-bind!
+  (fn (env name val) (dict-set! (get env :bindings) name val) env))
+
+(define
+  refl-env-has?
+  (fn
+    (env name)
+    (cond
+      ((nil? env) false)
+      ((not (refl-env? env)) false)
+      ((dict-has? (get env :bindings) name) true)
+      (:else (refl-env-has? (get env :parent) name)))))
+
+(define
+  refl-env-lookup
+  (fn
+    (env name)
+    (cond
+      ((nil? env) (error (str "refl-env-lookup: unbound symbol: " name)))
+      ((not (refl-env? env))
+        (error (str "refl-env-lookup: corrupt env: " env)))
+      ((dict-has? (get env :bindings) name) (get (get env :bindings) name))
+      (:else (refl-env-lookup (get env :parent) name)))))
+
+(define
+  refl-env-lookup-or-nil
+  (fn
+    (env name)
+    (cond
+      ((nil? env) nil)
+      ((not (refl-env? env)) nil)
+      ((dict-has? (get env :bindings) name) (get (get env :bindings) name))
+      (:else (refl-env-lookup-or-nil (get env :parent) name)))))
+
+;; ── Adapter-cfg variants — any wire shape ───────────────────────
+
+(define refl-env-extend-with (fn (cfg scope) ((get cfg :extend) scope)))
+
+(define
+  refl-env-bind!-with
+  (fn (cfg scope name val) ((get cfg :bind!) scope name val)))
+
+(define
+  refl-env-has?-with
+  (fn
+    (cfg scope name)
+    (cond
+      ((nil? scope) false)
+      ((not ((get cfg :env?) scope)) false)
+      ((dict-has? ((get cfg :bindings-of) scope) name) true)
+      (:else (refl-env-has?-with cfg ((get cfg :parent-of) scope) name)))))
+
+(define
+  refl-env-lookup-with
+  (fn
+    (cfg scope name)
+    (cond
+      ((nil? scope) (error (str "refl-env-lookup: unbound symbol: " name)))
+      ((not ((get cfg :env?) scope))
+        (error (str "refl-env-lookup: corrupt scope: " scope)))
+      ((dict-has? ((get cfg :bindings-of) scope) name)
+        (get ((get cfg :bindings-of) scope) name))
+      (:else (refl-env-lookup-with cfg ((get cfg :parent-of) scope) name)))))
+
+(define
+  refl-env-lookup-or-nil-with
+  (fn
+    (cfg scope name)
+    (cond
+      ((nil? scope) nil)
+      ((not ((get cfg :env?) scope)) nil)
+      ((dict-has? ((get cfg :bindings-of) scope) name)
+        (get ((get cfg :bindings-of) scope) name))
+      (:else
+        (refl-env-lookup-or-nil-with cfg ((get cfg :parent-of) scope) name)))))
+
+;; Returns the SCOPE in the chain that contains NAME, or nil if no
+;; scope binds it. Consumers (e.g. Smalltalk) use this to mutate the
+;; binding at its source frame rather than introducing a new shadow
+;; binding at the current frame. Pairs with `refl-env-lookup-with`
+;; for callers that need both the value and the defining scope.
+
+(define refl-env-find-frame-with
+  (fn (cfg scope name)
+    (cond
+      ((nil? scope) nil)
+      ((not ((get cfg :env?) scope)) nil)
+      ((dict-has? ((get cfg :bindings-of) scope) name) scope)
+      (:else
+        (refl-env-find-frame-with cfg ((get cfg :parent-of) scope) name)))))
+
+(define refl-env-find-frame
+  (fn (env name) (refl-env-find-frame-with refl-canonical-cfg env name)))
+
+;; ── Default canonical cfg ───────────────────────────────────────
+;; Exposed so consumers can use it explicitly, compose with it, or
+;; check adapter-correctness against the canonical implementation.
+
+(define refl-canonical-cfg {:bind! (fn (e n v) (refl-env-bind! e n v)) :parent-of (fn (e) (get e :parent)) :env? (fn (v) (refl-env? v)) :bindings-of (fn (e) (get e :bindings)) :extend (fn (e) (refl-extend-env e))})

lib/guest/reflective/quoting.sx

@@ -0,0 +1,77 @@
+;; lib/guest/reflective/quoting.sx — quasiquote walker.
+;;
+;; Extracted from Kernel's `knl-quasi-walk` and Scheme's `scm-quasi-walk`,
+;; which differ only in:
+;;   - the unquote keyword name (Kernel: "$unquote" / "$unquote-splicing";
+;;     Scheme: "unquote" / "unquote-splicing")
+;;   - the host evaluator function (`kernel-eval` vs `scheme-eval`)
+;;
+;; Algorithm is identical. Adapter cfg parameterises the two
+;; language-specific knobs.
+;;
+;; Adapter cfg keys
+;; ----------------
+;;   :unquote-name           — string, name of the unquote keyword
+;;   :unquote-splicing-name  — string, name of the splice keyword
+;;   :eval                   — fn (form env) → value
+;;
+;; Public API
+;;   (refl-quasi-walk-with CFG FORM ENV)
+;;     Top-level walker. Returns FORM with unquotes evaluated in ENV.
+;;
+;;   (refl-quasi-walk-list-with CFG FORMS ENV)
+;;     Walks a list of forms, splicing unquote-splicing results inline.
+;;
+;;   (refl-quasi-list-concat XS YS)
+;;     Pure-SX list append (no host append/append! needed).
+
+(define
+  refl-quasi-list-concat
+  (fn
+    (xs ys)
+    (cond
+      ((or (nil? xs) (= (length xs) 0)) ys)
+      (:else (cons (first xs) (refl-quasi-list-concat (rest xs) ys))))))
+
+(define
+  refl-quasi-walk-with
+  (fn
+    (cfg form env)
+    (cond
+      ((not (list? form)) form)
+      ((= (length form) 0) form)
+      ((and (string? (first form)) (= (first form) (get cfg :unquote-name)))
+        (cond
+          ((not (= (length form) 2))
+            (error
+              (str (get cfg :unquote-name) ": expects exactly 1 argument")))
+          (:else ((get cfg :eval) (nth form 1) env))))
+      (:else (refl-quasi-walk-list-with cfg form env)))))
+
+(define
+  refl-quasi-walk-list-with
+  (fn
+    (cfg forms env)
+    (cond
+      ((or (nil? forms) (= (length forms) 0)) (list))
+      (:else
+        (let
+          ((head (first forms)))
+          (cond
+            ((and (list? head) (= (length head) 2) (string? (first head)) (= (first head) (get cfg :unquote-splicing-name)))
+              (let
+                ((spliced ((get cfg :eval) (nth head 1) env)))
+                (cond
+                  ((not (list? spliced))
+                    (error
+                      (str
+                        (get cfg :unquote-splicing-name)
+                        ": value must be a list")))
+                  (:else
+                    (refl-quasi-list-concat
+                      spliced
+                      (refl-quasi-walk-list-with cfg (rest forms) env))))))
+            (:else
+              (cons
+                (refl-quasi-walk-with cfg head env)
+                (refl-quasi-walk-list-with cfg (rest forms) env)))))))))

lib/guest/test-runner.sx

@@ -0,0 +1,50 @@
+;; lib/guest/test-runner.sx — per-suite test harness for guest test files.
+;;
+;; Across the codebase 142+ test files implement the identical four-form
+;; boilerplate: `<X>-test-pass`, `<X>-test-fail`, `<X>-test-fails`, and
+;; an `<X>-test` recording function. Only the prefix differs. This kit
+;; collapses the boilerplate to a per-suite mutable dict + a recording
+;; helper, so each test file goes from ~12 lines of harness to ~3:
+;;
+;;   (define ke-suite (refl-make-test-suite))
+;;   (define ke-test  (fn (n a e) (refl-test ke-suite n a e)))
+;;   (define ke-tests-run! (fn () (refl-test-report ke-suite)))
+;;
+;; The suite is a mutable dict `{:pass N :fail N :fails LIST}`. Each
+;; failed assertion appends `{:name NAME :expected EXPECTED :actual ACT}`
+;; to :fails — same shape every existing harness already produces.
+;;
+;; The `:fails` list is mutated in place via `append!`, so callers who
+;; have a reference to it see the same updates. (Same semantic the
+;; existing per-suite globals had — just held in the suite dict now.)
+;;
+;; Public API
+;;   (refl-make-test-suite)              — fresh suite
+;;   (refl-test SUITE NAME ACT EXP)      — record one assertion
+;;   (refl-test-report SUITE)            — return {:total :passed :failed :fails}
+;;   (refl-test-pass? SUITE)             — convenience: all green?
+;;   (refl-test-suite? V)                — predicate
+
+(define refl-make-test-suite (fn () {:fail 0 :pass 0 :fails (list)}))
+
+(define
+  refl-test-suite?
+  (fn
+    (v)
+    (and (dict? v) (number? (get v :pass)) (number? (get v :fail)))))
+
+(define
+  refl-test
+  (fn
+    (suite name actual expected)
+    (cond
+      ((= actual expected)
+        (dict-set! suite :pass (+ (get suite :pass) 1)))
+      (:else
+        (begin
+          (dict-set! suite :fail (+ (get suite :fail) 1))
+          (append! (get suite :fails) {:name name :actual actual :expected expected}))))))
+
+(define refl-test-report (fn (suite) {:total (+ (get suite :pass) (get suite :fail)) :passed (get suite :pass) :failed (get suite :fail) :fails (get suite :fails)}))
+
+(define refl-test-pass? (fn (suite) (= (get suite :fail) 0)))

lib/guest/tests/hm.sx

@@ -0,0 +1,89 @@
+;; lib/guest/tests/hm.sx — exercises lib/guest/hm.sx algebra.
+
+(define ghm-test-pass 0)
+(define ghm-test-fail 0)
+(define ghm-test-fails (list))
+
+(define
+  ghm-test
+  (fn (name actual expected)
+    (if (= actual expected)
+      (set! ghm-test-pass (+ ghm-test-pass 1))
+      (begin
+        (set! ghm-test-fail (+ ghm-test-fail 1))
+        (append! ghm-test-fails {:name name :expected expected :actual actual})))))
+
+;; ── Type constructors ─────────────────────────────────────────────
+(ghm-test "tv"           (hm-tv "a") (list :var "a"))
+(ghm-test "int"          (hm-int)    (list :ctor "Int" (list)))
+(ghm-test "arrow"        (ctor-head (hm-arrow (hm-int) (hm-bool))) "->")
+(ghm-test "arrow-args-len" (len (ctor-args (hm-arrow (hm-int) (hm-bool)))) 2)
+
+;; ── Schemes ───────────────────────────────────────────────────────
+(ghm-test "scheme-vars"  (hm-scheme-vars (hm-scheme (list "a") (hm-tv "a"))) (list "a"))
+(ghm-test "monotype-vars" (hm-scheme-vars (hm-monotype (hm-int))) (list))
+(ghm-test "scheme?-yes"  (hm-scheme? (hm-monotype (hm-int))) true)
+(ghm-test "scheme?-no"   (hm-scheme? (hm-int)) false)
+
+;; ── Fresh tyvars ──────────────────────────────────────────────────
+(ghm-test "fresh-1"
+  (let ((c (list 0))) (var-name (hm-fresh-tv c))) "t1")
+(ghm-test "fresh-bumps"
+  (let ((c (list 5))) (begin (hm-fresh-tv c) (first c))) 6)
+
+;; ── Free type variables ──────────────────────────────────────────
+(ghm-test "ftv-int"      (hm-ftv (hm-int)) (list))
+(ghm-test "ftv-tv"       (hm-ftv (hm-tv "a")) (list "a"))
+(ghm-test "ftv-arrow"
+  (len (hm-ftv (hm-arrow (hm-tv "a") (hm-arrow (hm-tv "b") (hm-tv "a"))))) 2)
+(ghm-test "ftv-scheme-quantified"
+  (hm-ftv-scheme (hm-scheme (list "a") (hm-arrow (hm-tv "a") (hm-tv "b")))) (list "b"))
+(ghm-test "ftv-env"
+  (let ((env (assoc {} "f" (hm-monotype (hm-arrow (hm-tv "x") (hm-tv "y"))))))
+    (len (hm-ftv-env env))) 2)
+
+;; ── Substitution / apply / compose ───────────────────────────────
+(ghm-test "apply-tv"
+  (hm-apply (assoc {} "a" (hm-int)) (hm-tv "a")) (hm-int))
+(ghm-test "apply-arrow"
+  (ctor-head
+    (hm-apply (assoc {} "a" (hm-int))
+              (hm-arrow (hm-tv "a") (hm-tv "b")))) "->")
+(ghm-test "compose-1-then-2"
+  (var-name
+    (hm-apply
+      (hm-compose (assoc {} "b" (hm-tv "c")) (assoc {} "a" (hm-tv "b")))
+      (hm-tv "a"))) "c")
+
+;; ── Generalize / Instantiate ─────────────────────────────────────
+;;   forall a. a -> a   instantiated twice yields fresh vars each time
+(ghm-test "generalize-id"
+  (len (hm-scheme-vars (hm-generalize (hm-arrow (hm-tv "a") (hm-tv "a")) {}))) 1)
+
+(ghm-test "generalize-skips-env"
+  ;; ftv(t)={a,b}, ftv(env)={a}, qs={b}
+  (let ((env (assoc {} "x" (hm-monotype (hm-tv "a")))))
+    (len (hm-scheme-vars
+           (hm-generalize (hm-arrow (hm-tv "a") (hm-tv "b")) env)))) 1)
+
+(ghm-test "instantiate-fresh"
+  (let ((s (hm-scheme (list "a") (hm-arrow (hm-tv "a") (hm-tv "a"))))
+        (c (list 0)))
+    (let ((t1 (hm-instantiate s c)) (t2 (hm-instantiate s c)))
+      (not (= (var-name (first (ctor-args t1)))
+              (var-name (first (ctor-args t2)))))))
+  true)
+
+;; ── Inference (literal only) ─────────────────────────────────────
+(ghm-test "infer-int"
+  (ctor-head (get (hm-infer-literal (ast-literal 42)) :type)) "Int")
+(ghm-test "infer-string"
+  (ctor-head (get (hm-infer-literal (ast-literal "hi")) :type)) "String")
+(ghm-test "infer-bool"
+  (ctor-head (get (hm-infer-literal (ast-literal true)) :type)) "Bool")
+
+(define ghm-tests-run!
+  (fn ()
+    {:passed ghm-test-pass
+     :failed ghm-test-fail
+     :total  (+ ghm-test-pass ghm-test-fail)}))

lib/guest/tests/layout.sx

@@ -0,0 +1,180 @@
+;; lib/guest/tests/layout.sx — synthetic Python-ish off-side fixture.
+;;
+;; Exercises lib/guest/layout.sx with a config different from Haskell's
+;; (no module-prelude, layout opens via trailing `:` not via reserved
+;; keyword) to prove the kit isn't Haskell-shaped.
+
+(define glayout-test-pass 0)
+(define glayout-test-fail 0)
+(define glayout-test-fails (list))
+
+(define
+  glayout-test
+  (fn (name actual expected)
+    (if (= actual expected)
+      (set! glayout-test-pass (+ glayout-test-pass 1))
+      (begin
+        (set! glayout-test-fail (+ glayout-test-fail 1))
+        (append! glayout-test-fails {:name name :expected expected :actual actual})))))
+
+;; Convenience: build a token from {type value line col}.
+(define
+  glayout-tok
+  (fn (ty val line col)
+    {:type ty :value val :line line :col col}))
+
+;; Project a token list to ((type value) ...) for compact comparison.
+(define
+  glayout-shape
+  (fn (toks)
+    (map (fn (t) (list (get t :type) (get t :value))) toks)))
+
+;; ── Haskell-flavour: keyword opens block ─────────────────────────
+(define
+  glayout-haskell-cfg
+  {:open-keywords (list "let" "where" "do" "of")
+   :open-trailing-fn nil
+   :open-token   {:type "vlbrace" :value "{"}
+   :close-token  {:type "vrbrace" :value "}"}
+   :sep-token    {:type "vsemi"   :value ";"}
+   :module-prelude? false
+   :explicit-open? (fn (tok) (= (get tok :type) "lbrace"))})
+
+;;   do
+;;     a
+;;     b
+;;   c       ← outside the do-block
+(glayout-test "haskell-do-block"
+  (glayout-shape
+    (layout-pass
+      glayout-haskell-cfg
+      (list (glayout-tok "reserved" "do" 1 1)
+            (glayout-tok "ident" "a" 2 3)
+            (glayout-tok "ident" "b" 3 3)
+            (glayout-tok "ident" "c" 4 1))))
+  (list (list "reserved" "do")
+        (list "vlbrace" "{")
+        (list "ident" "a")
+        (list "vsemi" ";")
+        (list "ident" "b")
+        (list "vrbrace" "}")
+        (list "ident" "c")))
+
+;; Explicit `{` after `do` suppresses virtual layout.
+(glayout-test "haskell-explicit-brace"
+  (glayout-shape
+    (layout-pass
+      glayout-haskell-cfg
+      (list (glayout-tok "reserved" "do" 1 1)
+            (glayout-tok "lbrace" "{" 1 4)
+            (glayout-tok "ident" "a" 1 6)
+            (glayout-tok "rbrace" "}" 1 8))))
+  (list (list "reserved" "do")
+        (list "lbrace" "{")
+        (list "ident" "a")
+        (list "rbrace" "}")))
+
+;; Single-statement do-block on the same line.
+(glayout-test "haskell-do-inline"
+  (glayout-shape
+    (layout-pass
+      glayout-haskell-cfg
+      (list (glayout-tok "reserved" "do" 1 1)
+            (glayout-tok "ident" "a" 1 4))))
+  (list (list "reserved" "do")
+        (list "vlbrace" "{")
+        (list "ident" "a")
+        (list "vrbrace" "}")))
+
+;; Module-prelude: wrap whole input in implicit layout block at first
+;; tok's column.
+(glayout-test "haskell-module-prelude"
+  (glayout-shape
+    (layout-pass
+      (assoc glayout-haskell-cfg :module-prelude? true)
+      (list (glayout-tok "ident" "x" 1 1)
+            (glayout-tok "ident" "y" 2 1)
+            (glayout-tok "ident" "z" 3 1))))
+  (list (list "vlbrace" "{")
+        (list "ident" "x")
+        (list "vsemi" ";")
+        (list "ident" "y")
+        (list "vsemi" ";")
+        (list "ident" "z")
+        (list "vrbrace" "}")))
+
+;; ── Python-flavour: trailing `:` opens block ─────────────────────
+(define
+  glayout-python-cfg
+  {:open-keywords (list)
+   :open-trailing-fn (fn (tok) (and (= (get tok :type) "punct")
+                                    (= (get tok :value) ":")))
+   :open-token   {:type "indent" :value "INDENT"}
+   :close-token  {:type "dedent" :value "DEDENT"}
+   :sep-token    {:type "newline" :value "NEWLINE"}
+   :module-prelude? false
+   :explicit-open? nil})
+
+;;   if x:
+;;       a
+;;       b
+;;   c
+(glayout-test "python-if-block"
+  (glayout-shape
+    (layout-pass
+      glayout-python-cfg
+      (list (glayout-tok "reserved" "if" 1 1)
+            (glayout-tok "ident" "x" 1 4)
+            (glayout-tok "punct" ":" 1 5)
+            (glayout-tok "ident" "a" 2 5)
+            (glayout-tok "ident" "b" 3 5)
+            (glayout-tok "ident" "c" 4 1))))
+  (list (list "reserved" "if")
+        (list "ident" "x")
+        (list "punct" ":")
+        (list "indent" "INDENT")
+        (list "ident" "a")
+        (list "newline" "NEWLINE")
+        (list "ident" "b")
+        (list "dedent" "DEDENT")
+        (list "ident" "c")))
+
+;; Nested Python-style blocks.
+;;   def f():
+;;       if x:
+;;           a
+;;       b
+(glayout-test "python-nested"
+  (glayout-shape
+    (layout-pass
+      glayout-python-cfg
+      (list (glayout-tok "reserved" "def" 1 1)
+            (glayout-tok "ident" "f" 1 5)
+            (glayout-tok "punct" "(" 1 6)
+            (glayout-tok "punct" ")" 1 7)
+            (glayout-tok "punct" ":" 1 8)
+            (glayout-tok "reserved" "if" 2 5)
+            (glayout-tok "ident" "x" 2 8)
+            (glayout-tok "punct" ":" 2 9)
+            (glayout-tok "ident" "a" 3 9)
+            (glayout-tok "ident" "b" 4 5))))
+  (list (list "reserved" "def")
+        (list "ident" "f")
+        (list "punct" "(")
+        (list "punct" ")")
+        (list "punct" ":")
+        (list "indent" "INDENT")
+        (list "reserved" "if")
+        (list "ident" "x")
+        (list "punct" ":")
+        (list "indent" "INDENT")
+        (list "ident" "a")
+        (list "dedent" "DEDENT")
+        (list "ident" "b")
+        (list "dedent" "DEDENT")))
+
+(define glayout-tests-run!
+  (fn ()
+    {:passed glayout-test-pass
+     :failed glayout-test-fail
+     :total  (+ glayout-test-pass glayout-test-fail)}))

lib/haskell/conformance.conf

@@ -14,6 +14,8 @@ PRELOADS=(
   lib/haskell/runtime.sx
   lib/haskell/match.sx
   lib/haskell/eval.sx
+  lib/haskell/map.sx
+  lib/haskell/set.sx
   lib/haskell/testlib.sx
 )
 
@@ -36,6 +38,24 @@ SUITES=(
   "matrix:lib/haskell/tests/program-matrix.sx"
   "wordcount:lib/haskell/tests/program-wordcount.sx"
   "powers:lib/haskell/tests/program-powers.sx"
+  "caesar:lib/haskell/tests/program-caesar.sx"
+  "runlength-str:lib/haskell/tests/program-runlength-str.sx"
+  "showadt:lib/haskell/tests/program-showadt.sx"
+  "showio:lib/haskell/tests/program-showio.sx"
+  "partial:lib/haskell/tests/program-partial.sx"
+  "statistics:lib/haskell/tests/program-statistics.sx"
+  "newton:lib/haskell/tests/program-newton.sx"
+  "wordfreq:lib/haskell/tests/program-wordfreq.sx"
+  "mapgraph:lib/haskell/tests/program-mapgraph.sx"
+  "uniquewords:lib/haskell/tests/program-uniquewords.sx"
+  "setops:lib/haskell/tests/program-setops.sx"
+  "shapes:lib/haskell/tests/program-shapes.sx"
+  "person:lib/haskell/tests/program-person.sx"
+  "config:lib/haskell/tests/program-config.sx"
+  "counter:lib/haskell/tests/program-counter.sx"
+  "accumulate:lib/haskell/tests/program-accumulate.sx"
+  "safediv:lib/haskell/tests/program-safediv.sx"
+  "trycatch:lib/haskell/tests/program-trycatch.sx"
 )
 
 emit_scoreboard_json() {

lib/haskell/desugar.sx

@@ -131,119 +131,281 @@
         (let
           ((tag (first node)))
           (cond
-            ;; Transformations
             ((= tag "where")
               (list
-                :let
+                :let (map hk-desugar (nth node 2))
-                (map hk-desugar (nth node 2))
                 (hk-desugar (nth node 1))))
             ((= tag "guarded") (hk-guards-to-if (nth node 1)))
             ((= tag "list-comp")
-              (hk-lc-desugar
+              (hk-lc-desugar (hk-desugar (nth node 1)) (nth node 2)))
-                (hk-desugar (nth node 1))
-                (nth node 2)))
-
-            ;; Expression nodes
             ((= tag "app")
               (list
-                :app
+                :app (hk-desugar (nth node 1))
-                (hk-desugar (nth node 1))
                 (hk-desugar (nth node 2))))
+            ((= tag "p-rec")
+              (let
+                ((cname (nth node 1))
+                  (field-pats (nth node 2))
+                  (field-order (hk-record-field-names cname)))
+                (cond
+                  ((nil? field-order)
+                    (raise (str "p-rec: no record info for " cname)))
+                  (:else
+                    (list
+                      :p-con
+                      cname
+                      (map
+                        (fn
+                          (fname)
+                          (let
+                            ((p (hk-find-rec-pair field-pats fname)))
+                            (cond
+                              ((nil? p) (list :p-wild))
+                              (:else (hk-desugar (nth p 1))))))
+                        field-order))))))
+            ((= tag "rec-update")
+              (list
+                :rec-update
+                (hk-desugar (nth node 1))
+                (map
+                  (fn (p) (list (first p) (hk-desugar (nth p 1))))
+                  (nth node 2))))
+            ((= tag "rec-create")
+              (let
+                ((cname (nth node 1))
+                  (field-pairs (nth node 2))
+                  (field-order (hk-record-field-names cname)))
+                (cond
+                  ((nil? field-order)
+                    (raise (str "rec-create: no record info for " cname)))
+                  (:else
+                    (let
+                      ((acc (list :con cname)))
+                      (begin
+                        (for-each
+                          (fn
+                            (fname)
+                            (let
+                              ((pair
+                                  (hk-find-rec-pair field-pairs fname)))
+                              (cond
+                                ((nil? pair)
+                                  (raise
+                                    (str
+                                      "rec-create: missing field "
+                                      fname
+                                      " for "
+                                      cname)))
+                                (:else
+                                  (set!
+                                    acc
+                                    (list
+                                      :app
+                                      acc
+                                      (hk-desugar (nth pair 1))))))))
+                          field-order)
+                        acc))))))
             ((= tag "op")
               (list
-                :op
+                :op (nth node 1)
-                (nth node 1)
                 (hk-desugar (nth node 2))
                 (hk-desugar (nth node 3))))
+            ((= tag "type-ann") (hk-desugar (nth node 1)))
             ((= tag "neg") (list :neg (hk-desugar (nth node 1))))
             ((= tag "if")
               (list
-                :if
+                :if (hk-desugar (nth node 1))
-                (hk-desugar (nth node 1))
                 (hk-desugar (nth node 2))
                 (hk-desugar (nth node 3))))
-            ((= tag "tuple")
+            ((= tag "tuple") (list :tuple (map hk-desugar (nth node 1))))
-              (list :tuple (map hk-desugar (nth node 1))))
+            ((= tag "list") (list :list (map hk-desugar (nth node 1))))
-            ((= tag "list")
-              (list :list (map hk-desugar (nth node 1))))
             ((= tag "range")
               (list
-                :range
+                :range (hk-desugar (nth node 1))
-                (hk-desugar (nth node 1))
                 (hk-desugar (nth node 2))))
             ((= tag "range-step")
               (list
-                :range-step
+                :range-step (hk-desugar (nth node 1))
-                (hk-desugar (nth node 1))
                 (hk-desugar (nth node 2))
                 (hk-desugar (nth node 3))))
             ((= tag "lambda")
-              (list
+              (list :lambda (nth node 1) (hk-desugar (nth node 2))))
-                :lambda
-                (nth node 1)
-                (hk-desugar (nth node 2))))
             ((= tag "let")
               (list
-                :let
+                :let (map hk-desugar (nth node 1))
-                (map hk-desugar (nth node 1))
                 (hk-desugar (nth node 2))))
             ((= tag "case")
               (list
-                :case
+                :case (hk-desugar (nth node 1))
-                (hk-desugar (nth node 1))
                 (map hk-desugar (nth node 2))))
             ((= tag "alt")
-              (list :alt (nth node 1) (hk-desugar (nth node 2))))
+              (list :alt (hk-desugar (nth node 1)) (hk-desugar (nth node 2))))
             ((= tag "do") (hk-desugar-do (nth node 1)))
             ((= tag "sect-left")
-              (list
+              (list :sect-left (nth node 1) (hk-desugar (nth node 2))))
-                :sect-left
-                (nth node 1)
-                (hk-desugar (nth node 2))))
             ((= tag "sect-right")
-              (list
+              (list :sect-right (nth node 1) (hk-desugar (nth node 2))))
-                :sect-right
-                (nth node 1)
-                (hk-desugar (nth node 2))))
-
-            ;; Top-level
             ((= tag "program")
-              (list :program (map hk-desugar (nth node 1))))
+              (list :program (map hk-desugar (hk-expand-records (nth node 1)))))
             ((= tag "module")
               (list
-                :module
+                :module (nth node 1)
-                (nth node 1)
                 (nth node 2)
                 (nth node 3)
-                (map hk-desugar (nth node 4))))
+                (map hk-desugar (hk-expand-records (nth node 4)))))
-
-            ;; Decls carrying a body
             ((= tag "fun-clause")
               (list
-                :fun-clause
+                :fun-clause (nth node 1)
-                (nth node 1)
+                (map hk-desugar (nth node 2))
-                (nth node 2)
                 (hk-desugar (nth node 3))))
+            ((= tag "instance-decl")
+              (list
+                :instance-decl (nth node 1)
+                (nth node 2)
+                (map hk-desugar (nth node 3))))
             ((= tag "pat-bind")
-              (list
+              (list :pat-bind (nth node 1) (hk-desugar (nth node 2))))
-                :pat-bind
-                (nth node 1)
-                (hk-desugar (nth node 2))))
             ((= tag "bind")
-              (list
+              (list :bind (nth node 1) (hk-desugar (nth node 2))))
-                :bind
-                (nth node 1)
-                (hk-desugar (nth node 2))))
-
-            ;; Everything else: leaf literals, vars, cons, patterns,
-            ;; types, imports, type-sigs, data / newtype / fixity, …
             (:else node)))))))
 
 ;; Convenience — tokenize + layout + parse + desugar.
-(define
+(define hk-record-fields (dict))
-  hk-core
-  (fn (src) (hk-desugar (hk-parse-top src))))
 
 (define
-  hk-core-expr
+  hk-register-record-fields!
-  (fn (src) (hk-desugar (hk-parse src))))
+  (fn (cname fields) (dict-set! hk-record-fields cname fields)))
+
+(define
+  hk-record-field-names
+  (fn
+    (cname)
+    (if (has-key? hk-record-fields cname) (get hk-record-fields cname) nil)))
+
+(define
+  hk-record-field-index
+  (fn
+    (cname fname)
+    (let
+      ((fields (hk-record-field-names cname)))
+      (cond
+        ((nil? fields) -1)
+        (:else
+          (let
+            ((i 0) (idx -1))
+            (begin
+              (for-each
+                (fn
+                  (f)
+                  (begin (when (= f fname) (set! idx i)) (set! i (+ i 1))))
+                fields)
+              idx)))))))
+
+(define
+  hk-find-rec-pair
+  (fn
+    (pairs name)
+    (cond
+      ((empty? pairs) nil)
+      ((= (first (first pairs)) name) (first pairs))
+      (:else (hk-find-rec-pair (rest pairs) name)))))
+
+(define
+  hk-record-accessors
+  (fn
+    (cname rec-fields)
+    (let
+      ((n (len rec-fields)) (i 0) (out (list)))
+      (define
+        hk-ra-loop
+        (fn
+          ()
+          (when
+            (< i n)
+            (let
+              ((field (nth rec-fields i)))
+              (let
+                ((fname (first field)) (j 0) (pats (list)))
+                (define
+                  hk-pat-loop
+                  (fn
+                    ()
+                    (when
+                      (< j n)
+                      (begin
+                        (append!
+                          pats
+                          (if
+                            (= j i)
+                            (list "p-var" "__rec_field")
+                            (list "p-wild")))
+                        (set! j (+ j 1))
+                        (hk-pat-loop)))))
+                (hk-pat-loop)
+                (append!
+                  out
+                  (list
+                    "fun-clause"
+                    fname
+                    (list (list "p-con" cname pats))
+                    (list "var" "__rec_field")))
+                (set! i (+ i 1))
+                (hk-ra-loop))))))
+      (hk-ra-loop)
+      out)))
+
+(define
+  hk-expand-records
+  (fn
+    (decls)
+    (let
+      ((out (list)))
+      (for-each
+        (fn
+          (d)
+          (cond
+            ((and (list? d) (= (first d) "data"))
+              (let
+                ((dname (nth d 1))
+                  (tvars (nth d 2))
+                  (cons-list (nth d 3))
+                  (deriving (if (> (len d) 4) (nth d 4) (list)))
+                  (new-cons (list))
+                  (accessors (list)))
+                (begin
+                  (for-each
+                    (fn
+                      (c)
+                      (cond
+                        ((= (first c) "con-rec")
+                          (let
+                            ((cname (nth c 1)) (rec-fields (nth c 2)))
+                            (begin
+                              (hk-register-record-fields!
+                                cname
+                                (map (fn (f) (first f)) rec-fields))
+                              (append!
+                                new-cons
+                                (list
+                                  "con-def"
+                                  cname
+                                  (map (fn (f) (nth f 1)) rec-fields)))
+                              (for-each
+                                (fn (a) (append! accessors a))
+                                (hk-record-accessors cname rec-fields)))))
+                        (:else (append! new-cons c))))
+                    cons-list)
+                  (append!
+                    out
+                    (if
+                      (empty? deriving)
+                      (list "data" dname tvars new-cons)
+                      (list "data" dname tvars new-cons deriving)))
+                  (for-each (fn (a) (append! out a)) accessors))))
+            (:else (append! out d))))
+        decls)
+      out)))
+
+(define hk-core (fn (src) (hk-desugar (hk-parse-top src))))
+
+(define hk-core-expr (fn (src) (hk-desugar (hk-parse src))))

lib/haskell/map.sx

@@ -0,0 +1,520 @@
+;; map.sx — Phase 11 Data.Map: weight-balanced BST in pure SX.
+;;
+;; Algorithm: Adams's weight-balanced tree (the same family as Haskell's
+;; Data.Map). Each node tracks its size; rotations maintain the invariant
+;;
+;;     size(small-side) * delta >= size(large-side)        (delta = 3)
+;;
+;; with single or double rotations chosen by the gamma ratio (gamma = 2).
+;; The size field is an Int and is included so `size`, `lookup`, etc. are
+;; O(log n) on both extremes of the tree.
+;;
+;; Representation:
+;;   Empty → ("Map-Empty")
+;;   Node  → ("Map-Node" key val left right size)
+;;
+;; All operations are pure SX — no mutation of nodes once constructed.
+;; The user-facing Haskell layer (Phase 11 next iteration) wraps these
+;; for `import Data.Map as Map`.
+
+;; ── Constructors ────────────────────────────────────────────
+(define hk-map-empty (list "Map-Empty"))
+
+(define
+  hk-map-node
+  (fn
+    (k v l r)
+    (list "Map-Node" k v l r (+ 1 (+ (hk-map-size l) (hk-map-size r))))))
+
+;; ── Predicates and accessors ────────────────────────────────
+(define hk-map-empty? (fn (m) (and (list? m) (= (first m) "Map-Empty"))))
+
+(define hk-map-node? (fn (m) (and (list? m) (= (first m) "Map-Node"))))
+
+(define
+  hk-map-size
+  (fn (m) (cond ((hk-map-empty? m) 0) (:else (nth m 5)))))
+
+(define hk-map-key (fn (m) (nth m 1)))
+(define hk-map-val (fn (m) (nth m 2)))
+(define hk-map-left (fn (m) (nth m 3)))
+(define hk-map-right (fn (m) (nth m 4)))
+
+;; ── Weight-balanced rotations ───────────────────────────────
+;; delta and gamma per Adams 1992 / Haskell Data.Map.
+
+(define hk-map-delta 3)
+(define hk-map-gamma 2)
+
+(define
+  hk-map-single-l
+  (fn
+    (k v l r)
+    (let
+      ((rk (hk-map-key r))
+        (rv (hk-map-val r))
+        (rl (hk-map-left r))
+        (rr (hk-map-right r)))
+      (hk-map-node rk rv (hk-map-node k v l rl) rr))))
+
+(define
+  hk-map-single-r
+  (fn
+    (k v l r)
+    (let
+      ((lk (hk-map-key l))
+        (lv (hk-map-val l))
+        (ll (hk-map-left l))
+        (lr (hk-map-right l)))
+      (hk-map-node lk lv ll (hk-map-node k v lr r)))))
+
+(define
+  hk-map-double-l
+  (fn
+    (k v l r)
+    (let
+      ((rk (hk-map-key r))
+        (rv (hk-map-val r))
+        (rl (hk-map-left r))
+        (rr (hk-map-right r))
+        (rlk (hk-map-key (hk-map-left r)))
+        (rlv (hk-map-val (hk-map-left r)))
+        (rll (hk-map-left (hk-map-left r)))
+        (rlr (hk-map-right (hk-map-left r))))
+      (hk-map-node
+        rlk
+        rlv
+        (hk-map-node k v l rll)
+        (hk-map-node rk rv rlr rr)))))
+
+(define
+  hk-map-double-r
+  (fn
+    (k v l r)
+    (let
+      ((lk (hk-map-key l))
+        (lv (hk-map-val l))
+        (ll (hk-map-left l))
+        (lr (hk-map-right l))
+        (lrk (hk-map-key (hk-map-right l)))
+        (lrv (hk-map-val (hk-map-right l)))
+        (lrl (hk-map-left (hk-map-right l)))
+        (lrr (hk-map-right (hk-map-right l))))
+      (hk-map-node
+        lrk
+        lrv
+        (hk-map-node lk lv ll lrl)
+        (hk-map-node k v lrr r)))))
+
+;; ── Balanced node constructor ──────────────────────────────
+;; Use this in place of hk-map-node when one side may have grown
+;; or shrunk by one and we need to restore the weight invariant.
+(define
+  hk-map-balance
+  (fn
+    (k v l r)
+    (let
+      ((sl (hk-map-size l)) (sr (hk-map-size r)))
+      (cond
+        ((<= (+ sl sr) 1) (hk-map-node k v l r))
+        ((> sr (* hk-map-delta sl))
+          (let
+            ((rl (hk-map-left r)) (rr (hk-map-right r)))
+            (cond
+              ((< (hk-map-size rl) (* hk-map-gamma (hk-map-size rr)))
+                (hk-map-single-l k v l r))
+              (:else (hk-map-double-l k v l r)))))
+        ((> sl (* hk-map-delta sr))
+          (let
+            ((ll (hk-map-left l)) (lr (hk-map-right l)))
+            (cond
+              ((< (hk-map-size lr) (* hk-map-gamma (hk-map-size ll)))
+                (hk-map-single-r k v l r))
+              (:else (hk-map-double-r k v l r)))))
+        (:else (hk-map-node k v l r))))))
+
+(define
+  hk-map-singleton
+  (fn (k v) (hk-map-node k v hk-map-empty hk-map-empty)))
+
+(define
+  hk-map-insert
+  (fn
+    (k v m)
+    (cond
+      ((hk-map-empty? m) (hk-map-singleton k v))
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-insert k v (hk-map-left m))
+                (hk-map-right m)))
+            ((> k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-left m)
+                (hk-map-insert k v (hk-map-right m))))
+            (:else (hk-map-node k v (hk-map-left m) (hk-map-right m)))))))))
+
+(define
+  hk-map-lookup
+  (fn
+    (k m)
+    (cond
+      ((hk-map-empty? m) (list "Nothing"))
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk) (hk-map-lookup k (hk-map-left m)))
+            ((> k mk) (hk-map-lookup k (hk-map-right m)))
+            (:else (list "Just" (hk-map-val m)))))))))
+
+(define
+  hk-map-member
+  (fn
+    (k m)
+    (cond
+      ((hk-map-empty? m) false)
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk) (hk-map-member k (hk-map-left m)))
+            ((> k mk) (hk-map-member k (hk-map-right m)))
+            (:else true)))))))
+
+(define hk-map-null hk-map-empty?)
+
+(define
+  hk-map-find-min
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? (hk-map-left m))
+        (list (hk-map-key m) (hk-map-val m)))
+      (:else (hk-map-find-min (hk-map-left m))))))
+
+(define
+  hk-map-delete-min
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? (hk-map-left m)) (hk-map-right m))
+      (:else
+        (hk-map-balance
+          (hk-map-key m)
+          (hk-map-val m)
+          (hk-map-delete-min (hk-map-left m))
+          (hk-map-right m))))))
+
+(define
+  hk-map-find-max
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? (hk-map-right m))
+        (list (hk-map-key m) (hk-map-val m)))
+      (:else (hk-map-find-max (hk-map-right m))))))
+
+(define
+  hk-map-delete-max
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? (hk-map-right m)) (hk-map-left m))
+      (:else
+        (hk-map-balance
+          (hk-map-key m)
+          (hk-map-val m)
+          (hk-map-left m)
+          (hk-map-delete-max (hk-map-right m)))))))
+
+(define
+  hk-map-glue
+  (fn
+    (l r)
+    (cond
+      ((hk-map-empty? l) r)
+      ((hk-map-empty? r) l)
+      ((> (hk-map-size l) (hk-map-size r))
+        (let
+          ((mp (hk-map-find-max l)))
+          (hk-map-balance (first mp) (nth mp 1) (hk-map-delete-max l) r)))
+      (:else
+        (let
+          ((mp (hk-map-find-min r)))
+          (hk-map-balance (first mp) (nth mp 1) l (hk-map-delete-min r)))))))
+
+(define
+  hk-map-delete
+  (fn
+    (k m)
+    (cond
+      ((hk-map-empty? m) m)
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-delete k (hk-map-left m))
+                (hk-map-right m)))
+            ((> k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-left m)
+                (hk-map-delete k (hk-map-right m))))
+            (:else (hk-map-glue (hk-map-left m) (hk-map-right m)))))))))
+
+(define
+  hk-map-from-list
+  (fn
+    (pairs)
+    (reduce
+      (fn (acc p) (hk-map-insert (first p) (nth p 1) acc))
+      hk-map-empty
+      pairs)))
+
+(define
+  hk-map-to-asc-list
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? m) (list))
+      (:else
+        (append
+          (hk-map-to-asc-list (hk-map-left m))
+          (cons
+            (list (hk-map-key m) (hk-map-val m))
+            (hk-map-to-asc-list (hk-map-right m))))))))
+
+(define hk-map-to-list hk-map-to-asc-list)
+
+(define
+  hk-map-keys
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? m) (list))
+      (:else
+        (append
+          (hk-map-keys (hk-map-left m))
+          (cons (hk-map-key m) (hk-map-keys (hk-map-right m))))))))
+
+(define
+  hk-map-elems
+  (fn
+    (m)
+    (cond
+      ((hk-map-empty? m) (list))
+      (:else
+        (append
+          (hk-map-elems (hk-map-left m))
+          (cons (hk-map-val m) (hk-map-elems (hk-map-right m))))))))
+
+(define
+  hk-map-union-with
+  (fn
+    (f m1 m2)
+    (reduce
+      (fn
+        (acc p)
+        (let
+          ((k (first p)) (v (nth p 1)))
+          (let
+            ((look (hk-map-lookup k acc)))
+            (cond
+              ((= (first look) "Just")
+                (hk-map-insert k (f (nth look 1) v) acc))
+              (:else (hk-map-insert k v acc))))))
+      m1
+      (hk-map-to-asc-list m2))))
+
+(define
+  hk-map-intersection-with
+  (fn
+    (f m1 m2)
+    (reduce
+      (fn
+        (acc p)
+        (let
+          ((k (first p)) (v1 (nth p 1)))
+          (let
+            ((look (hk-map-lookup k m2)))
+            (cond
+              ((= (first look) "Just")
+                (hk-map-insert k (f v1 (nth look 1)) acc))
+              (:else acc)))))
+      hk-map-empty
+      (hk-map-to-asc-list m1))))
+
+(define
+  hk-map-difference
+  (fn
+    (m1 m2)
+    (reduce
+      (fn
+        (acc p)
+        (let
+          ((k (first p)) (v (nth p 1)))
+          (cond ((hk-map-member k m2) acc) (:else (hk-map-insert k v acc)))))
+      hk-map-empty
+      (hk-map-to-asc-list m1))))
+
+(define
+  hk-map-foldl-with-key
+  (fn
+    (f acc m)
+    (cond
+      ((hk-map-empty? m) acc)
+      (:else
+        (let
+          ((acc1 (hk-map-foldl-with-key f acc (hk-map-left m))))
+          (let
+            ((acc2 (f acc1 (hk-map-key m) (hk-map-val m))))
+            (hk-map-foldl-with-key f acc2 (hk-map-right m))))))))
+
+(define
+  hk-map-foldr-with-key
+  (fn
+    (f acc m)
+    (cond
+      ((hk-map-empty? m) acc)
+      (:else
+        (let
+          ((acc1 (hk-map-foldr-with-key f acc (hk-map-right m))))
+          (let
+            ((acc2 (f (hk-map-key m) (hk-map-val m) acc1)))
+            (hk-map-foldr-with-key f acc2 (hk-map-left m))))))))
+
+(define
+  hk-map-map-with-key
+  (fn
+    (f m)
+    (cond
+      ((hk-map-empty? m) m)
+      (:else
+        (list
+          "Map-Node"
+          (hk-map-key m)
+          (f (hk-map-key m) (hk-map-val m))
+          (hk-map-map-with-key f (hk-map-left m))
+          (hk-map-map-with-key f (hk-map-right m))
+          (hk-map-size m))))))
+
+(define
+  hk-map-filter-with-key
+  (fn
+    (p m)
+    (hk-map-foldr-with-key
+      (fn (k v acc) (cond ((p k v) (hk-map-insert k v acc)) (:else acc)))
+      hk-map-empty
+      m)))
+
+(define
+  hk-map-adjust
+  (fn
+    (f k m)
+    (cond
+      ((hk-map-empty? m) m)
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk)
+              (hk-map-node
+                mk
+                (hk-map-val m)
+                (hk-map-adjust f k (hk-map-left m))
+                (hk-map-right m)))
+            ((> k mk)
+              (hk-map-node
+                mk
+                (hk-map-val m)
+                (hk-map-left m)
+                (hk-map-adjust f k (hk-map-right m))))
+            (:else
+              (hk-map-node
+                mk
+                (f (hk-map-val m))
+                (hk-map-left m)
+                (hk-map-right m)))))))))
+
+(define
+  hk-map-insert-with
+  (fn
+    (f k v m)
+    (cond
+      ((hk-map-empty? m) (hk-map-singleton k v))
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-insert-with f k v (hk-map-left m))
+                (hk-map-right m)))
+            ((> k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-left m)
+                (hk-map-insert-with f k v (hk-map-right m))))
+            (:else
+              (hk-map-node
+                mk
+                (f v (hk-map-val m))
+                (hk-map-left m)
+                (hk-map-right m)))))))))
+
+(define
+  hk-map-insert-with-key
+  (fn
+    (f k v m)
+    (cond
+      ((hk-map-empty? m) (hk-map-singleton k v))
+      (:else
+        (let
+          ((mk (hk-map-key m)))
+          (cond
+            ((< k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-insert-with-key f k v (hk-map-left m))
+                (hk-map-right m)))
+            ((> k mk)
+              (hk-map-balance
+                mk
+                (hk-map-val m)
+                (hk-map-left m)
+                (hk-map-insert-with-key f k v (hk-map-right m))))
+            (:else
+              (hk-map-node
+                mk
+                (f k v (hk-map-val m))
+                (hk-map-left m)
+                (hk-map-right m)))))))))
+
+(define
+  hk-map-alter
+  (fn
+    (f k m)
+    (let
+      ((look (hk-map-lookup k m)))
+      (let
+        ((res (f look)))
+        (cond
+          ((= (first res) "Nothing") (hk-map-delete k m))
+          (:else (hk-map-insert k (nth res 1) m)))))))

lib/haskell/match.sx

@@ -87,45 +87,41 @@
                   ((nil? res) nil)
                   (:else (assoc res (nth pat 1) val)))))
             (:else
-              (let ((fv (hk-force val)))
+              (let
+                ((fv (hk-force val)))
                 (cond
                   ((= tag "p-int")
-                    (if
+                    (if (and (number? fv) (= fv (nth pat 1))) env nil))
-                      (and (number? fv) (= fv (nth pat 1)))
-                      env
-                      nil))
                   ((= tag "p-float")
-                    (if
+                    (if (and (number? fv) (= fv (nth pat 1))) env nil))
-                      (and (number? fv) (= fv (nth pat 1)))
-                      env
-                      nil))
                   ((= tag "p-string")
-                    (if
+                    (if (and (string? fv) (= fv (nth pat 1))) env nil))
-                      (and (string? fv) (= fv (nth pat 1)))
-                      env
-                      nil))
                   ((= tag "p-char")
-                    (if
+                    (if (and (string? fv) (= fv (nth pat 1))) env nil))
-                      (and (string? fv) (= fv (nth pat 1)))
-                      env
-                      nil))
                   ((= tag "p-con")
                     (let
                       ((pat-name (nth pat 1)) (pat-args (nth pat 2)))
                       (cond
+                        ((and (= pat-name ":") (hk-str? fv) (not (hk-str-null? fv)))
+                          (let
+                            ((str-head (hk-str-head fv))
+                              (str-tail (hk-str-tail fv)))
+                            (let
+                              ((head-pat (nth pat-args 0))
+                                (tail-pat (nth pat-args 1)))
+                              (let
+                                ((res (hk-match head-pat str-head env)))
+                                (cond
+                                  ((nil? res) nil)
+                                  (:else (hk-match tail-pat str-tail res)))))))
                         ((not (hk-is-con-val? fv)) nil)
                         ((not (= (hk-val-con-name fv) pat-name)) nil)
                         (:else
                           (let
                             ((val-args (hk-val-con-args fv)))
                             (cond
-                              ((not (= (len pat-args) (len val-args)))
+                              ((not (= (len val-args) (len pat-args))) nil)
-                                nil)
+                              (:else (hk-match-all pat-args val-args env))))))))
-                              (:else
-                                (hk-match-all
-                                  pat-args
-                                  val-args
-                                  env))))))))
                   ((= tag "p-tuple")
                     (let
                       ((items (nth pat 1)))
@@ -134,13 +130,8 @@
                         ((not (= (hk-val-con-name fv) "Tuple")) nil)
                         ((not (= (len (hk-val-con-args fv)) (len items)))
                           nil)
-                        (:else
+                        (:else (hk-match-all items (hk-val-con-args fv) env)))))
-                          (hk-match-all
+                  ((= tag "p-list") (hk-match-list-pat (nth pat 1) fv env))
-                            items
-                            (hk-val-con-args fv)
-                            env)))))
-                  ((= tag "p-list")
-                    (hk-match-list-pat (nth pat 1) fv env))
                   (:else nil))))))))))
 
 (define
@@ -161,17 +152,26 @@
   hk-match-list-pat
   (fn
     (items val env)
-    (let ((fv (hk-force val)))
+    (let
+      ((fv (hk-force val)))
       (cond
         ((empty? items)
           (if
-            (and
+            (or
-              (hk-is-con-val? fv)
+              (and (hk-is-con-val? fv) (= (hk-val-con-name fv) "[]"))
-              (= (hk-val-con-name fv) "[]"))
+              (and (hk-str? fv) (hk-str-null? fv)))
             env
             nil))
         (:else
           (cond
+            ((and (hk-str? fv) (not (hk-str-null? fv)))
+              (let
+                ((h (hk-str-head fv)) (t (hk-str-tail fv)))
+                (let
+                  ((res (hk-match (first items) h env)))
+                  (cond
+                    ((nil? res) nil)
+                    (:else (hk-match-list-pat (rest items) t res))))))
             ((not (hk-is-con-val? fv)) nil)
             ((not (= (hk-val-con-name fv) ":")) nil)
             (:else
@@ -183,11 +183,7 @@
                     ((res (hk-match (first items) h env)))
                     (cond
                       ((nil? res) nil)
-                      (:else
+                      (:else (hk-match-list-pat (rest items) t res)))))))))))))
-                        (hk-match-list-pat
-                          (rest items)
-                          t
-                          res)))))))))))))
 
 ;; ── Convenience: parse a pattern from source for tests ─────
 ;; (Uses the parser's case-alt entry — `case _ of pat -> 0` —

lib/haskell/parser.sx

@@ -208,9 +208,19 @@
               ((= (get t "type") "char")
                 (do (hk-advance!) (list :char (get t "value"))))
               ((= (get t "type") "varid")
-                (do (hk-advance!) (list :var (get t "value"))))
+                (do
+                  (hk-advance!)
+                  (cond
+                    ((hk-match? "lbrace" nil)
+                      (hk-parse-rec-update (list :var (get t "value"))))
+                    (:else (list :var (get t "value"))))))
               ((= (get t "type") "conid")
-                (do (hk-advance!) (list :con (get t "value"))))
+                (do
+                  (hk-advance!)
+                  (cond
+                    ((hk-match? "lbrace" nil)
+                      (hk-parse-rec-create (get t "value")))
+                    (:else (list :con (get t "value"))))))
               ((= (get t "type") "qvarid")
                 (do (hk-advance!) (list :var (get t "value"))))
               ((= (get t "type") "qconid")
@@ -265,9 +275,18 @@
                             (list :sect-right op-name expr-e))))))
                   (:else
                     (let
-                      ((first-e (hk-parse-expr-inner))
+                      ((first-e (hk-parse-expr-inner)))
-                        (items (list))
+                      (cond
-                        (is-tuple false))
+                        ((hk-match? "reservedop" "::")
+                          (do
+                            (hk-advance!)
+                            (let
+                              ((ann-type (hk-parse-type)))
+                              (hk-expect! "rparen" nil)
+                              (list :type-ann first-e ann-type))))
+                        (:else
+                          (let
+                            ((items (list)) (is-tuple false))
                             (append! items first-e)
                             (define
                               hk-tup-loop
@@ -296,7 +315,7 @@
                                         (hk-consume-op!)
                                         (hk-advance!)
                                         (list :sect-left op-name first-e)))
-                              (:else (hk-err "expected ')' after expression"))))))))))))))
+                                    (:else (hk-err "expected ')' after expression")))))))))))))))))
       (define
         hk-comp-qual-is-gen?
         (fn
@@ -456,6 +475,90 @@
                     (do
                       (hk-expect! "rbracket" nil)
                       (list :list (list first-e))))))))))
+      (define
+        hk-parse-rec-create
+        (fn
+          (cname)
+          (begin
+            (hk-expect! "lbrace" nil)
+            (let
+              ((fields (list)))
+              (define
+                hk-rc-loop
+                (fn
+                  ()
+                  (when
+                    (hk-match? "varid" nil)
+                    (let
+                      ((fname (get (hk-advance!) "value")))
+                      (begin
+                        (hk-expect! "reservedop" "=")
+                        (let
+                          ((fexpr (hk-parse-expr-inner)))
+                          (begin
+                            (append! fields (list fname fexpr))
+                            (when
+                              (hk-match? "comma" nil)
+                              (begin (hk-advance!) (hk-rc-loop))))))))))
+              (hk-rc-loop)
+              (hk-expect! "rbrace" nil)
+              (list :rec-create cname fields)))))
+      (define
+        hk-parse-rec-update
+        (fn
+          (rec-expr)
+          (begin
+            (hk-expect! "lbrace" nil)
+            (let
+              ((fields (list)))
+              (define
+                hk-ru-loop
+                (fn
+                  ()
+                  (when
+                    (hk-match? "varid" nil)
+                    (let
+                      ((fname (get (hk-advance!) "value")))
+                      (begin
+                        (hk-expect! "reservedop" "=")
+                        (let
+                          ((fexpr (hk-parse-expr-inner)))
+                          (begin
+                            (append! fields (list fname fexpr))
+                            (when
+                              (hk-match? "comma" nil)
+                              (begin (hk-advance!) (hk-ru-loop))))))))))
+              (hk-ru-loop)
+              (hk-expect! "rbrace" nil)
+              (list :rec-update rec-expr fields)))))
+      (define
+        hk-parse-rec-pat
+        (fn
+          (cname)
+          (begin
+            (hk-expect! "lbrace" nil)
+            (let
+              ((field-pats (list)))
+              (define
+                hk-rp-loop
+                (fn
+                  ()
+                  (when
+                    (hk-match? "varid" nil)
+                    (let
+                      ((fname (get (hk-advance!) "value")))
+                      (begin
+                        (hk-expect! "reservedop" "=")
+                        (let
+                          ((fpat (hk-parse-pat)))
+                          (begin
+                            (append! field-pats (list fname fpat))
+                            (when
+                              (hk-match? "comma" nil)
+                              (begin (hk-advance!) (hk-rp-loop))))))))))
+              (hk-rp-loop)
+              (hk-expect! "rbrace" nil)
+              (list :p-rec cname field-pats)))))
       (define
         hk-parse-fexp
         (fn
@@ -696,7 +799,12 @@
                     (:else
                       (do (hk-advance!) (list :p-var (get t "value")))))))
               ((= (get t "type") "conid")
-                (do (hk-advance!) (list :p-con (get t "value") (list))))
+                (do
+                  (hk-advance!)
+                  (cond
+                    ((hk-match? "lbrace" nil)
+                      (hk-parse-rec-pat (get t "value")))
+                    (:else (list :p-con (get t "value") (list))))))
               ((= (get t "type") "qconid")
                 (do (hk-advance!) (list :p-con (get t "value") (list))))
               ((= (get t "type") "lparen") (hk-parse-paren-pat))
@@ -762,16 +870,24 @@
             (cond
               ((and (not (nil? t)) (or (= (get t "type") "conid") (= (get t "type") "qconid")))
                 (let
-                  ((name (get (hk-advance!) "value")) (args (list)))
+                  ((name (get (hk-advance!) "value")))
+                  (cond
+                    ((hk-match? "lbrace" nil)
+                      (hk-parse-rec-pat name))
+                    (:else
+                      (let
+                        ((args (list)))
                         (define
                           hk-pca-loop
                           (fn
                             ()
                             (when
                               (hk-apat-start? (hk-peek))
-                        (do (append! args (hk-parse-apat)) (hk-pca-loop)))))
+                              (do
+                                (append! args (hk-parse-apat))
+                                (hk-pca-loop)))))
                         (hk-pca-loop)
-                  (list :p-con name args)))
+                        (list :p-con name args))))))
               (:else (hk-parse-apat))))))
       (define
         hk-parse-pat
@@ -1212,16 +1328,47 @@
             (not (hk-match? "conid" nil))
             (hk-err "expected constructor name"))
           (let
-            ((name (get (hk-advance!) "value")) (fields (list)))
+            ((name (get (hk-advance!) "value")))
+            (cond
+              ((hk-match? "lbrace" nil)
+                (begin
+                  (hk-advance!)
+                  (let
+                    ((rec-fields (list)))
+                    (define
+                      hk-rec-loop
+                      (fn
+                        ()
+                        (when
+                          (hk-match? "varid" nil)
+                          (let
+                            ((fname (get (hk-advance!) "value")))
+                            (begin
+                              (hk-expect! "reservedop" "::")
+                              (let
+                                ((ftype (hk-parse-type)))
+                                (begin
+                                  (append! rec-fields (list fname ftype))
+                                  (when
+                                    (hk-match? "comma" nil)
+                                    (begin (hk-advance!) (hk-rec-loop))))))))))
+                    (hk-rec-loop)
+                    (hk-expect! "rbrace" nil)
+                    (list :con-rec name rec-fields))))
+              (:else
+                (let
+                  ((fields (list)))
                   (define
                     hk-cd-loop
                     (fn
                       ()
                       (when
                         (hk-atype-start? (hk-peek))
-                  (do (append! fields (hk-parse-atype)) (hk-cd-loop)))))
+                        (begin
+                          (append! fields (hk-parse-atype))
+                          (hk-cd-loop)))))
                   (hk-cd-loop)
-            (list :con-def name fields))))
+                  (list :con-def name fields)))))))
       (define
         hk-parse-tvars
         (fn
@@ -1586,10 +1733,18 @@
                   (= (hk-peek-type) "eof")
                   (hk-match? "vrbrace" nil)
                   (hk-match? "rbrace" nil))))
+            (define
+              hk-body-step
+              (fn
+                ()
+                (cond
+                  ((hk-match? "reserved" "import")
+                    (append! imports (hk-parse-import)))
+                  (:else (append! decls (hk-parse-decl))))))
             (when
               (not (hk-body-at-end?))
               (do
-                (append! decls (hk-parse-decl))
+                (hk-body-step)
                 (define
                   hk-body-loop
                   (fn
@@ -1600,7 +1755,7 @@
                         (hk-advance!)
                         (when
                           (not (hk-body-at-end?))
-                          (append! decls (hk-parse-decl)))
+                          (hk-body-step))
                         (hk-body-loop)))))
                 (hk-body-loop)))
             (list imports decls))))

lib/haskell/runtime.sx

@@ -12,12 +12,7 @@
 
 (define
   hk-register-con!
-  (fn
+  (fn (cname arity type-name) (dict-set! hk-constructors cname {:arity arity :type type-name})))
-    (cname arity type-name)
-    (dict-set!
-      hk-constructors
-      cname
-      {:arity arity :type type-name})))
 
 (define hk-is-con? (fn (name) (has-key? hk-constructors name)))
 
@@ -48,26 +43,15 @@
   (fn
     (data-node)
     (let
-      ((type-name (nth data-node 1))
+      ((type-name (nth data-node 1)) (cons-list (nth data-node 3)))
-        (cons-list (nth data-node 3)))
       (for-each
-        (fn
+        (fn (cd) (hk-register-con! (nth cd 1) (len (nth cd 2)) type-name))
-          (cd)
-          (hk-register-con!
-            (nth cd 1)
-            (len (nth cd 2))
-            type-name))
         cons-list))))
 
 ;; (:newtype NAME TVARS CNAME FIELD)
 (define
   hk-register-newtype!
-  (fn
+  (fn (nt-node) (hk-register-con! (nth nt-node 3) 1 (nth nt-node 1))))
-    (nt-node)
-    (hk-register-con!
-      (nth nt-node 3)
-      1
-      (nth nt-node 1))))
 
 ;; Walk a decls list, registering every `data` / `newtype` decl.
 (define
@@ -78,15 +62,9 @@
       (fn
         (d)
         (cond
-          ((and
+          ((and (list? d) (not (empty? d)) (= (first d) "data"))
-              (list? d)
-              (not (empty? d))
-              (= (first d) "data"))
             (hk-register-data! d))
-          ((and
+          ((and (list? d) (not (empty? d)) (= (first d) "newtype"))
-              (list? d)
-              (not (empty? d))
-              (= (first d) "newtype"))
             (hk-register-newtype! d))
           (:else nil)))
       decls)))
@@ -99,16 +77,12 @@
       ((nil? ast) nil)
       ((not (list? ast)) nil)
       ((empty? ast) nil)
-      ((= (first ast) "program")
+      ((= (first ast) "program") (hk-register-decls! (nth ast 1)))
-        (hk-register-decls! (nth ast 1)))
+      ((= (first ast) "module") (hk-register-decls! (nth ast 4)))
-      ((= (first ast) "module")
-        (hk-register-decls! (nth ast 4)))
       (:else nil))))
 
 ;; Convenience: source → AST → desugar → register.
-(define
+(define hk-load-source! (fn (src) (hk-register-program! (hk-core src))))
-  hk-load-source!
-  (fn (src) (hk-register-program! (hk-core src))))
 
 ;; ── Built-in constructors pre-registered ─────────────────────
 ;; Bool — used implicitly by `if`, comparison operators.
@@ -128,3 +102,49 @@
 (hk-register-con! "LT" 0 "Ordering")
 (hk-register-con! "EQ" 0 "Ordering")
 (hk-register-con! "GT" 0 "Ordering")
+(hk-register-con! "SomeException" 1 "SomeException")
+
+(define
+  hk-str?
+  (fn (v) (or (string? v) (and (dict? v) (has-key? v "hk-str")))))
+
+(define
+  hk-str-head
+  (fn
+    (v)
+    (if
+      (string? v)
+      (char-code (char-at v 0))
+      (char-code (char-at (get v "hk-str") (get v "hk-off"))))))
+
+(define
+  hk-str-tail
+  (fn
+    (v)
+    (let
+      ((buf (if (string? v) v (get v "hk-str")))
+        (off (if (string? v) 1 (+ (get v "hk-off") 1))))
+      (if (>= off (string-length buf)) (list "[]") {:hk-off off :hk-str buf}))))
+
+(define
+  hk-str-null?
+  (fn
+    (v)
+    (if
+      (string? v)
+      (= (string-length v) 0)
+      (>= (get v "hk-off") (string-length (get v "hk-str"))))))
+
+(define
+  hk-str-to-native
+  (fn
+    (v)
+    (if
+      (string? v)
+      v
+      (let
+        ((buf (get v "hk-str")) (off (get v "hk-off")))
+        (reduce
+          (fn (acc i) (str acc (char-at buf i)))
+          ""
+          (range off (string-length buf)))))))

lib/haskell/scoreboard.json

@@ -1,6 +1,6 @@
 {
-  "date": "2026-05-06",
+  "date": "2026-05-08",
-  "total_pass": 156,
+  "total_pass": 285,
   "total_fail": 0,
   "programs": {
     "fib": {"pass": 2, "fail": 0},
@@ -9,7 +9,7 @@
     "nqueens": {"pass": 2, "fail": 0},
     "calculator": {"pass": 5, "fail": 0},
     "collatz": {"pass": 11, "fail": 0},
-    "palindrome": {"pass": 8, "fail": 0},
+    "palindrome": {"pass": 12, "fail": 0},
     "maybe": {"pass": 12, "fail": 0},
     "fizzbuzz": {"pass": 12, "fail": 0},
     "anagram": {"pass": 9, "fail": 0},
@@ -19,7 +19,25 @@
     "primes": {"pass": 12, "fail": 0},
     "zipwith": {"pass": 9, "fail": 0},
     "matrix": {"pass": 8, "fail": 0},
-    "wordcount": {"pass": 7, "fail": 0},
+    "wordcount": {"pass": 10, "fail": 0},
-    "powers": {"pass": 14, "fail": 0}
+    "powers": {"pass": 14, "fail": 0},
+    "caesar": {"pass": 8, "fail": 0},
+    "runlength-str": {"pass": 9, "fail": 0},
+    "showadt": {"pass": 5, "fail": 0},
+    "showio": {"pass": 5, "fail": 0},
+    "partial": {"pass": 7, "fail": 0},
+    "statistics": {"pass": 5, "fail": 0},
+    "newton": {"pass": 5, "fail": 0},
+    "wordfreq": {"pass": 7, "fail": 0},
+    "mapgraph": {"pass": 6, "fail": 0},
+    "uniquewords": {"pass": 4, "fail": 0},
+    "setops": {"pass": 8, "fail": 0},
+    "shapes": {"pass": 5, "fail": 0},
+    "person": {"pass": 7, "fail": 0},
+    "config": {"pass": 10, "fail": 0},
+    "counter": {"pass": 7, "fail": 0},
+    "accumulate": {"pass": 8, "fail": 0},
+    "safediv": {"pass": 8, "fail": 0},
+    "trycatch": {"pass": 8, "fail": 0}
   }
 }

lib/haskell/scoreboard.md

@@ -1,6 +1,6 @@
 # Haskell-on-SX Scoreboard
 
-Updated 2026-05-06 · Phase 6 (prelude extras + 18 programs)
+Updated 2026-05-08 · Phase 6 (prelude extras + 18 programs)
 
 | Program | Tests | Status |
 |---------|-------|--------|
@@ -10,7 +10,7 @@ Updated 2026-05-06 · Phase 6 (prelude extras + 18 programs)
 | nqueens.hs | 2/2 | ✓ |
 | calculator.hs | 5/5 | ✓ |
 | collatz.hs | 11/11 | ✓ |
-| palindrome.hs | 8/8 | ✓ |
+| palindrome.hs | 12/12 | ✓ |
 | maybe.hs | 12/12 | ✓ |
 | fizzbuzz.hs | 12/12 | ✓ |
 | anagram.hs | 9/9 | ✓ |
@@ -20,6 +20,24 @@ Updated 2026-05-06 · Phase 6 (prelude extras + 18 programs)
 | primes.hs | 12/12 | ✓ |
 | zipwith.hs | 9/9 | ✓ |
 | matrix.hs | 8/8 | ✓ |
-| wordcount.hs | 7/7 | ✓ |
+| wordcount.hs | 10/10 | ✓ |
 | powers.hs | 14/14 | ✓ |
-| **Total** | **156/156** | **18/18 programs** |
+| caesar.hs | 8/8 | ✓ |
+| runlength-str.hs | 9/9 | ✓ |
+| showadt.hs | 5/5 | ✓ |
+| showio.hs | 5/5 | ✓ |
+| partial.hs | 7/7 | ✓ |
+| statistics.hs | 5/5 | ✓ |
+| newton.hs | 5/5 | ✓ |
+| wordfreq.hs | 7/7 | ✓ |
+| mapgraph.hs | 6/6 | ✓ |
+| uniquewords.hs | 4/4 | ✓ |
+| setops.hs | 8/8 | ✓ |
+| shapes.hs | 5/5 | ✓ |
+| person.hs | 7/7 | ✓ |
+| config.hs | 10/10 | ✓ |
+| counter.hs | 7/7 | ✓ |
+| accumulate.hs | 8/8 | ✓ |
+| safediv.hs | 8/8 | ✓ |
+| trycatch.hs | 8/8 | ✓ |
+| **Total** | **285/285** | **36/36 programs** |

lib/haskell/set.sx

@@ -0,0 +1,62 @@
+;; set.sx — Phase 12 Data.Set: wraps Data.Map with unit values.
+;;
+;; A Set is a Map from key to (). All set operations delegate to the map
+;; ops, ignoring the value side. Storage representation matches Data.Map:
+;;
+;;   Empty → ("Map-Empty")
+;;   Node  → ("Map-Node" key () left right size)
+;;
+;; Tradeoff: trivial maintenance burden, slight overhead per node from
+;; the unused value slot. Faster path forward than re-implementing the
+;; weight-balanced BST.
+;;
+;; Functions live in this file; the Haskell-level `import Data.Set` /
+;; `import qualified Data.Set as Set` wiring (next Phase 12 box) binds
+;; them under the chosen alias.
+
+(define hk-set-unit (list "Tuple"))
+
+(define hk-set-empty hk-map-empty)
+
+(define hk-set-singleton (fn (k) (hk-map-singleton k hk-set-unit)))
+
+(define hk-set-insert (fn (k s) (hk-map-insert k hk-set-unit s)))
+
+(define hk-set-delete hk-map-delete)
+(define hk-set-member hk-map-member)
+(define hk-set-size hk-map-size)
+(define hk-set-null hk-map-null)
+(define hk-set-to-asc-list hk-map-keys)
+(define hk-set-to-list hk-map-keys)
+
+(define
+  hk-set-from-list
+  (fn (xs) (reduce (fn (acc k) (hk-set-insert k acc)) hk-set-empty xs)))
+
+(define
+  hk-set-union
+  (fn (a b) (hk-map-union-with (fn (x y) hk-set-unit) a b)))
+
+(define
+  hk-set-intersection
+  (fn (a b) (hk-map-intersection-with (fn (x y) hk-set-unit) a b)))
+
+(define hk-set-difference hk-map-difference)
+
+(define
+  hk-set-is-subset-of
+  (fn (a b) (= (hk-map-size (hk-map-difference a b)) 0)))
+
+(define
+  hk-set-filter
+  (fn (p s) (hk-map-filter-with-key (fn (k v) (p k)) s)))
+
+(define hk-set-map (fn (f s) (hk-set-from-list (map f (hk-map-keys s)))))
+
+(define
+  hk-set-foldr
+  (fn (f z s) (hk-map-foldr-with-key (fn (k v acc) (f k acc)) z s)))
+
+(define
+  hk-set-foldl
+  (fn (f z s) (hk-map-foldl-with-key (fn (acc k v) (f acc k)) z s)))

lib/haskell/test.sh

@@ -55,6 +55,8 @@ for FILE in "${FILES[@]}"; do
 (load "lib/haskell/runtime.sx")
 (load "lib/haskell/match.sx")
 (load "lib/haskell/eval.sx")
+(load "lib/haskell/map.sx")
+(load "lib/haskell/set.sx")
 $INFER_LOAD
 (load "lib/haskell/testlib.sx")
 (epoch 2)
@@ -98,6 +100,8 @@ EPOCHS
 (load "lib/haskell/runtime.sx")
 (load "lib/haskell/match.sx")
 (load "lib/haskell/eval.sx")
+(load "lib/haskell/map.sx")
+(load "lib/haskell/set.sx")
 $INFER_LOAD
 (load "lib/haskell/testlib.sx")
 (epoch 2)

lib/haskell/testlib.sx

@@ -56,3 +56,21 @@
         (append!
           hk-test-fails
           {:actual actual :expected expected :name name})))))
+
+(define
+  hk-test-error
+  (fn
+    (name thunk expected-substring)
+    (let
+      ((caught (guard (e (true (if (string? e) e (str e)))) (begin (thunk) nil))))
+      (cond
+        ((nil? caught)
+          (do
+            (set! hk-test-fail (+ hk-test-fail 1))
+            (append! hk-test-fails {:actual "no error raised" :expected (str "error containing: " expected-substring) :name name})))
+        ((>= (index-of caught expected-substring) 0)
+          (set! hk-test-pass (+ hk-test-pass 1)))
+        (:else
+          (do
+            (set! hk-test-fail (+ hk-test-fail 1))
+            (append! hk-test-fails {:actual caught :expected (str "error containing: " expected-substring) :name name})))))))

lib/haskell/tests/class-defaults.sx

@@ -0,0 +1,86 @@
+;; class-defaults.sx — Phase 13: class default method implementations.
+
+;; ── Eq default: myNeq derived from myEq via `not (myEq x y)` ──
+(define
+  hk-myeq-source
+  "class MyEq a where\n  myEq :: a -> a -> Bool\n  myNeq :: a -> a -> Bool\n  myNeq x y = not (myEq x y)\ninstance MyEq Int where\n  myEq x y = x == y\n")
+
+(hk-test
+  "Eq default: myNeq 3 5 = True (no explicit myNeq in instance)"
+  (hk-deep-force (hk-run (str hk-myeq-source "main = myNeq 3 5\n")))
+  (list "True"))
+
+(hk-test
+  "Eq default: myNeq 3 3 = False"
+  (hk-deep-force (hk-run (str hk-myeq-source "main = myNeq 3 3\n")))
+  (list "False"))
+
+(hk-test
+  "Eq default: myEq still works in same instance"
+  (hk-deep-force (hk-run (str hk-myeq-source "main = myEq 7 7\n")))
+  (list "True"))
+
+;; ── Override path: instance can still provide the method explicitly. ──
+(hk-test
+  "Default override: instance-provided beats class default"
+  (hk-deep-force
+    (hk-run
+      "class Hi a where\n  greet :: a -> String\n  greet x = \"default\"\ninstance Hi Bool where\n  greet x = \"override\"\nmain = greet True"))
+  "override")
+
+(hk-test
+  "Default fallback: empty instance picks default"
+  (hk-deep-force
+    (hk-run
+      "class Hi a where\n  greet :: a -> String\n  greet x = \"default\"\ninstance Hi Bool where\nmain = greet True"))
+  "default")
+
+(define
+  hk-myord-source
+  "class MyOrd a where\n  myCmp :: a -> a -> Bool\n  myMax :: a -> a -> a\n  myMin :: a -> a -> a\n  myMax a b = if myCmp a b then a else b\n  myMin a b = if myCmp a b then b else a\ninstance MyOrd Int where\n  myCmp x y = x >= y\n")
+
+(hk-test
+  "Ord default: myMax 3 5 = 5"
+  (hk-deep-force (hk-run (str hk-myord-source "main = myMax 3 5\n")))
+  5)
+
+(hk-test
+  "Ord default: myMax 8 2 = 8"
+  (hk-deep-force (hk-run (str hk-myord-source "main = myMax 8 2\n")))
+  8)
+
+(hk-test
+  "Ord default: myMin 3 5 = 3"
+  (hk-deep-force (hk-run (str hk-myord-source "main = myMin 3 5\n")))
+  3)
+
+(hk-test
+  "Ord default: myMin 8 2 = 2"
+  (hk-deep-force (hk-run (str hk-myord-source "main = myMin 8 2\n")))
+  2)
+
+(hk-test
+  "Ord default: myMax of equals returns first"
+  (hk-deep-force (hk-run (str hk-myord-source "main = myMax 4 4\n")))
+  4)
+
+(define
+  hk-mynum-source
+  "class MyNum a where\n  mySub :: a -> a -> a\n  myLt :: a -> a -> Bool\n  myNegate :: a -> a\n  myAbs :: a -> a\n  myNegate x = mySub (mySub x x) x\n  myAbs x = if myLt x (mySub x x) then myNegate x else x\ninstance MyNum Int where\n  mySub x y = x - y\n  myLt x y = x < y\n")
+
+(hk-test
+  "Num default: myNegate 5 = -5"
+  (hk-deep-force (hk-run (str hk-mynum-source "main = myNegate 5\n")))
+  -5)
+
+(hk-test
+  "Num default: myAbs (myNegate 7) = 7"
+  (hk-deep-force (hk-run (str hk-mynum-source "main = myAbs (myNegate 7)\n")))
+  7)
+
+(hk-test
+  "Num default: myAbs 9 = 9"
+  (hk-deep-force (hk-run (str hk-mynum-source "main = myAbs 9\n")))
+  9)
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/deriving.sx

@@ -12,14 +12,14 @@
   "deriving Show: constructor with arg"
   (hk-deep-force
     (hk-run "data Wrapper = Wrap Int deriving (Show)\nmain = show (Wrap 42)"))
-  "(Wrap 42)")
+  "Wrap 42")
 
 (hk-test
   "deriving Show: nested constructors"
   (hk-deep-force
     (hk-run
       "data Tree = Leaf | Node Int Tree Tree deriving (Show)\nmain = show (Node 1 Leaf Leaf)"))
-  "(Node 1 Leaf Leaf)")
+  "Node 1 Leaf Leaf")
 
 (hk-test
   "deriving Show: second constructor"
@@ -30,6 +30,31 @@
 
 ;; ─── Eq ──────────────────────────────────────────────────────────────────────
 
+(hk-test
+  "deriving Show: nested ADT wraps inner constructor in parens"
+  (hk-deep-force
+    (hk-run
+      "data Tree = Leaf | Node Int Tree Tree deriving (Show)\nmain = show (Node 1 Leaf (Node 2 Leaf Leaf))"))
+  "Node 1 Leaf (Node 2 Leaf Leaf)")
+
+(hk-test
+  "deriving Show: Maybe Maybe wraps inner Just"
+  (hk-deep-force (hk-run "main = show (Just (Just 3))"))
+  "Just (Just 3)")
+
+(hk-test
+  "deriving Show: negative argument wrapped in parens"
+  (hk-deep-force (hk-run "main = show (Just (negate 3))"))
+  "Just (-3)")
+
+(hk-test
+  "deriving Show: list element does not need parens"
+  (hk-deep-force
+    (hk-run "data Box = Box [Int] deriving (Show)\nmain = show (Box [1,2,3])"))
+  "Box [1,2,3]")
+
+;; ─── combined Eq + Show ───────────────────────────────────────────────────────
+
 (hk-test
   "deriving Eq: same constructor"
   (hk-deep-force
@@ -58,14 +83,12 @@
       "data Color = Red | Green | Blue deriving (Eq)\nmain = show (Red /= Blue)"))
   "True")
 
-;; ─── combined Eq + Show ───────────────────────────────────────────────────────
-
 (hk-test
-  "deriving Eq Show: combined in parens"
+  "deriving Eq Show: combined"
   (hk-deep-force
     (hk-run
       "data Shape = Circle Int | Square Int deriving (Eq, Show)\nmain = show (Circle 5)"))
-  "(Circle 5)")
+  "Circle 5")
 
 (hk-test
   "deriving Eq Show: eq on constructor with arg"

lib/haskell/tests/errors.sx

@@ -0,0 +1,99 @@
+;; errors.sx — Phase 9 error / undefined / partial-fn coverage via hk-test-error.
+
+;; ── error builtin ────────────────────────────────────────────
+(define
+  hk-as-list
+  (fn
+    (xs)
+    (cond
+      ((and (list? xs) (= (first xs) "[]")) (list))
+      ((and (list? xs) (= (first xs) ":"))
+        (cons (nth xs 1) (hk-as-list (nth xs 2))))
+      (:else xs))))
+
+(hk-test-error
+  "error: raises with literal message"
+  (fn () (hk-deep-force (hk-run "main = error \"boom\"")))
+  "hk-error: boom")
+
+(hk-test-error
+  "error: raises with computed message"
+  (fn () (hk-deep-force (hk-run "main = error (\"oops: \" ++ show 42)")))
+  "hk-error: oops: 42")
+
+;; ── undefined ────────────────────────────────────────────────
+(hk-test-error
+  "error: nested in if branch (only fires when forced)"
+  (fn
+    ()
+    (hk-deep-force (hk-run "main = if 1 == 1 then error \"taken\" else 0")))
+  "taken")
+
+(hk-test-error
+  "undefined: raises Prelude.undefined"
+  (fn () (hk-deep-force (hk-run "main = undefined")))
+  "Prelude.undefined")
+
+;; The non-strict path: undefined doesn't fire when not forced.
+(hk-test-error
+  "undefined: forced via arithmetic"
+  (fn () (hk-deep-force (hk-run "main = undefined + 1")))
+  "Prelude.undefined")
+
+;; ── partial functions ───────────────────────────────────────
+(hk-test
+  "undefined: lazy, not forced when discarded"
+  (hk-deep-force (hk-run "main = let _ = undefined in 5"))
+  5)
+
+(hk-test-error
+  "head []: raises Prelude.head: empty list"
+  (fn () (hk-deep-force (hk-run "main = head []")))
+  "Prelude.head: empty list")
+
+(hk-test-error
+  "tail []: raises Prelude.tail: empty list"
+  (fn () (hk-deep-force (hk-run "main = tail []")))
+  "Prelude.tail: empty list")
+
+;; head and tail still work on non-empty lists.
+(hk-test-error
+  "fromJust Nothing: raises Maybe.fromJust: Nothing"
+  (fn () (hk-deep-force (hk-run "main = fromJust Nothing")))
+  "Maybe.fromJust: Nothing")
+
+(hk-test
+  "head [42]: still works"
+  (hk-deep-force (hk-run "main = head [42]"))
+  42)
+
+;; ── error in IO context ─────────────────────────────────────
+(hk-test
+  "tail [1,2,3]: still works"
+  (hk-as-list (hk-deep-force (hk-run "main = tail [1,2,3]")))
+  (list 2 3))
+
+(hk-test
+  "hk-run-io: error in main lands in io-lines"
+  (let
+    ((lines (hk-run-io "main = error \"caught here\"")))
+    (>= (index-of (str lines) "caught here") 0))
+  true)
+
+;; ── hk-test-error helper itself ─────────────────────────────
+(hk-test
+  "hk-run-io: putStrLn before error preserves earlier output"
+  (let
+    ((lines (hk-run-io "main = do { putStrLn \"first\"; error \"died\"; putStrLn \"never\" }")))
+    (and
+      (>= (index-of (str lines) "first") 0)
+      (>= (index-of (str lines) "died") 0)))
+  true)
+
+;; hk-as-list helper for converting a forced Haskell cons into an SX list.
+(hk-test-error
+  "hk-test-error: matches partial substring inside wrapped exception"
+  (fn () (hk-deep-force (hk-run "main = error \"unique-marker-xyz\"")))
+  "unique-marker-xyz")
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/eval.sx

@@ -231,16 +231,82 @@
   1)
 
 ;; ── Laziness: app args evaluate only when forced ──
+(hk-test
+  "error builtin: raises with hk-error prefix"
+  (guard
+    (e (true (>= (index-of e "hk-error: boom") 0)))
+    (begin (hk-deep-force (hk-run "main = error \"boom\"")) false))
+  true)
+
+(hk-test
+  "error builtin: raises with computed message"
+  (guard
+    (e (true (>= (index-of e "hk-error: oops: 42") 0)))
+    (begin
+      (hk-deep-force (hk-run "main = error (\"oops: \" ++ show 42)"))
+      false))
+  true)
+
+(hk-test
+  "undefined: raises hk-error with Prelude.undefined message"
+  (guard
+    (e (true (>= (index-of e "hk-error: Prelude.undefined") 0)))
+    (begin (hk-deep-force (hk-run "main = undefined")) false))
+  true)
+
+(hk-test
+  "undefined: lazy — only fires when forced"
+  (hk-deep-force (hk-run "main = if True then 42 else undefined"))
+  42)
+
+(hk-test
+  "head []: raises Prelude.head: empty list"
+  (guard
+    (e (true (>= (index-of e "Prelude.head: empty list") 0)))
+    (begin (hk-deep-force (hk-run "main = head []")) false))
+  true)
+
+(hk-test
+  "tail []: raises Prelude.tail: empty list"
+  (guard
+    (e (true (>= (index-of e "Prelude.tail: empty list") 0)))
+    (begin (hk-deep-force (hk-run "main = tail []")) false))
+  true)
+
+;; ── not / id built-ins ──
+(hk-test
+  "fromJust Nothing: raises Maybe.fromJust: Nothing"
+  (guard
+    (e (true (>= (index-of e "Maybe.fromJust: Nothing") 0)))
+    (begin (hk-deep-force (hk-run "main = fromJust Nothing")) false))
+  true)
+(hk-test
+  "fromJust (Just 5) = 5"
+  (hk-deep-force (hk-run "main = fromJust (Just 5)"))
+  5)
+(hk-test
+  "head [42] = 42 (still works for non-empty)"
+  (hk-deep-force (hk-run "main = head [42]"))
+  42)
+
+(hk-test-error
+  "hk-test-error helper: catches matching error"
+  (fn () (hk-deep-force (hk-run "main = error \"boom\"")))
+  "hk-error: boom")
+
+(hk-test-error
+  "hk-test-error helper: catches head [] error"
+  (fn () (hk-deep-force (hk-run "main = head []")))
+  "Prelude.head: empty list")
+
 (hk-test
   "second arg never forced"
-  (hk-eval-expr-source
+  (hk-eval-expr-source "(\\x y -> x) 1 (error \"never\")")
-    "(\\x y -> x) 1 (error \"never\")")
   1)
 
 (hk-test
   "first arg never forced"
-  (hk-eval-expr-source
+  (hk-eval-expr-source "(\\x y -> y) (error \"never\") 99")
-    "(\\x y -> y) (error \"never\") 99")
   99)
 
 (hk-test
@@ -251,9 +317,7 @@
 
 (hk-test
   "lazy: const drops its second argument"
-  (hk-prog-val
+  (hk-prog-val "const x y = x\nresult = const 5 (error \"boom\")" "result")
-    "const x y = x\nresult = const 5 (error \"boom\")"
-    "result")
   5)
 
 (hk-test
@@ -270,9 +334,10 @@
     "result")
   (list "True"))
 
-;; ── not / id built-ins ──
 (hk-test "not True" (hk-eval-expr-source "not True") (list "False"))
+
 (hk-test "not False" (hk-eval-expr-source "not False") (list "True"))
+
 (hk-test "id" (hk-eval-expr-source "id 42") 42)
 
 {:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/exceptions.sx

@@ -0,0 +1,105 @@
+;; Phase 16 — Exception handling unit tests.
+
+(hk-test
+  "catch — success path returns the action result"
+  (hk-deep-force
+    (hk-run
+      "main = catch (return 42) (\\(SomeException m) -> return 0)"))
+  (list "IO" 42))
+
+(hk-test
+  "catch — error caught, handler receives message"
+  (hk-deep-force
+    (hk-run
+      "main = catch (error \"boom\") (\\(SomeException m) -> return m)"))
+  (list "IO" "boom"))
+
+(hk-test
+  "try — success returns Right v"
+  (hk-deep-force
+    (hk-run "main = try (return 42)"))
+  (list "IO" (list "Right" 42)))
+
+(hk-test
+  "try — error returns Left (SomeException msg)"
+  (hk-deep-force
+    (hk-run "main = try (error \"oops\")"))
+  (list "IO" (list "Left" (list "SomeException" "oops"))))
+
+(hk-test
+  "handle — flip catch — caught error message"
+  (hk-deep-force
+    (hk-run
+      "main = handle (\\(SomeException m) -> return m) (error \"hot\")"))
+  (list "IO" "hot"))
+
+(hk-test
+  "throwIO + catch — handler sees the SomeException"
+  (hk-deep-force
+    (hk-run
+      "main = catch (throwIO (SomeException \"bang\")) (\\(SomeException m) -> return m)"))
+  (list "IO" "bang"))
+
+(hk-test
+  "throwIO + try — Left side"
+  (hk-deep-force
+    (hk-run
+      "main = try (throwIO (SomeException \"x\"))"))
+  (list "IO" (list "Left" (list "SomeException" "x"))))
+
+(hk-test
+  "evaluate — pure value returns IO v"
+  (hk-deep-force
+    (hk-run "main = evaluate (1 + 2 + 3)"))
+  (list "IO" 6))
+
+(hk-test
+  "evaluate — error surfaces as catchable exception"
+  (hk-deep-force
+    (hk-run
+      "main = catch (evaluate (error \"deep\")) (\\(SomeException m) -> return m)"))
+  (list "IO" "deep"))
+
+(hk-test
+  "nested catch — inner handler runs first"
+  (hk-deep-force
+    (hk-run
+      "main = catch (catch (error \"inner\") (\\(SomeException m) -> error (m ++ \"-rethrown\"))) (\\(SomeException m) -> return m)"))
+  (list "IO" "inner-rethrown"))
+
+(hk-test
+  "catch chain — handler can succeed inside IO"
+  (hk-deep-force
+    (hk-run
+      "main = do { x <- catch (error \"e1\") (\\(SomeException m) -> return 100); return (x + 1) }"))
+  (list "IO" 101))
+
+(hk-test
+  "try then bind on Right"
+  (hk-deep-force
+    (hk-run
+      "branch (Right v) = return (v * 2)
+branch (Left _) = return 0
+main = do { r <- try (return 21); branch r }"))
+  (list "IO" 42))
+
+(hk-test
+  "try then bind on Left"
+  (hk-deep-force
+    (hk-run
+      "branch (Right _) = return \"ok\"
+branch (Left (SomeException m)) = return m
+main = do { r <- try (error \"failed\"); branch r }"))
+  (list "IO" "failed"))
+
+(hk-test
+  "catch — handler can use closed-over IORef"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef
+main = do
+  r <- IORef.newIORef 0
+  catch (error \"x\") (\\(SomeException m) -> IORef.writeIORef r 7)
+  v <- IORef.readIORef r
+  return v"))
+  (list "IO" 7))

lib/haskell/tests/instance-where.sx

@@ -0,0 +1,31 @@
+;; instance-where.sx — Phase 13: where-clauses inside instance bodies.
+
+(hk-test
+  "instance method body with where-helper (Bool)"
+  (hk-deep-force
+    (hk-run
+      "class Greet a where\n  greet :: a -> String\ninstance Greet Bool where\n  greet x = mkMsg x\n    where mkMsg True = \"yes\"\n          mkMsg False = \"no\"\nmain = greet True"))
+  "yes")
+
+(hk-test
+  "instance method body with where-helper (False branch)"
+  (hk-deep-force
+    (hk-run
+      "class Greet a where\n  greet :: a -> String\ninstance Greet Bool where\n  greet x = mkMsg x\n    where mkMsg True = \"yes\"\n          mkMsg False = \"no\"\nmain = greet False"))
+  "no")
+
+(hk-test
+  "instance method body with where-binding referenced multiple times"
+  (hk-deep-force
+    (hk-run
+      "class Twice a where\n  twice :: a -> Int\ninstance Twice Int where\n  twice x = h + h\n    where h = x + 1\nmain = twice 5"))
+  12)
+
+(hk-test
+  "instance method body with multi-binding where"
+  (hk-deep-force
+    (hk-run
+      "class Calc a where\n  calc :: a -> Int\ninstance Calc Int where\n  calc x = a + b\n    where a = x * 2\n          b = x + 1\nmain = calc 3"))
+  10)
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/io-input.sx

@@ -64,12 +64,11 @@
 
 (hk-test
   "readFile error on missing file"
-  (guard
-    (e (true (>= (index-of e "file not found") 0)))
   (begin
     (set! hk-vfs (dict))
-      (hk-run-io "main = readFile \"no.txt\" >>= putStrLn")
+    (let
-      false))
+      ((lines (hk-run-io "main = readFile \"no.txt\" >>= putStrLn")))
+      (>= (index-of (str lines) "file not found") 0)))
   true)
 
 (hk-test

lib/haskell/tests/ioref.sx

@@ -0,0 +1,94 @@
+;; Phase 15 — IORef unit tests.
+
+(hk-test
+  "newIORef + readIORef returns initial value"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 42; v <- IORef.readIORef r; return v }"))
+  (list "IO" 42))
+
+(hk-test
+  "writeIORef updates the cell"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 0; IORef.writeIORef r 99; v <- IORef.readIORef r; return v }"))
+  (list "IO" 99))
+
+(hk-test
+  "writeIORef returns IO ()"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 0; IORef.writeIORef r 1 }"))
+  (list "IO" (list "Tuple")))
+
+(hk-test
+  "modifyIORef applies a function"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 5; IORef.modifyIORef r (\\x -> x * 2); v <- IORef.readIORef r; return v }"))
+  (list "IO" 10))
+
+(hk-test
+  "modifyIORef' (strict) applies a function"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 7; IORef.modifyIORef' r (\\x -> x + 3); v <- IORef.readIORef r; return v }"))
+  (list "IO" 10))
+
+(hk-test
+  "two reads return the same value"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 11; a <- IORef.readIORef r; b <- IORef.readIORef r; return (a + b) }"))
+  (list "IO" 22))
+
+(hk-test
+  "shared ref across do-steps: write then read"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef 1; IORef.writeIORef r 2; IORef.writeIORef r 3; v <- IORef.readIORef r; return v }"))
+  (list "IO" 3))
+
+(hk-test
+  "two refs are independent"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r1 <- IORef.newIORef 1; r2 <- IORef.newIORef 2; IORef.writeIORef r1 10; a <- IORef.readIORef r1; b <- IORef.readIORef r2; return (a + b) }"))
+  (list "IO" 12))
+
+(hk-test
+  "string-valued IORef"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef \"hi\"; IORef.writeIORef r \"bye\"; v <- IORef.readIORef r; return v }"))
+  (list "IO" "bye"))
+
+(hk-test
+  "list-valued IORef + cons"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nmain = do { r <- IORef.newIORef [1,2,3]; IORef.modifyIORef r (\\xs -> 0 : xs); v <- IORef.readIORef r; return v }"))
+  (list
+    "IO"
+    (list ":" 0 (list ":" 1 (list ":" 2 (list ":" 3 (list "[]")))))))
+
+(hk-test
+  "counter loop: increment N times"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nloop r 0 = return ()\nloop r n = do { IORef.modifyIORef r (\\x -> x + 1); loop r (n - 1) }\nmain = do { r <- IORef.newIORef 0; loop r 10; v <- IORef.readIORef r; return v }"))
+  (list "IO" 10))
+
+(hk-test
+  "modifyIORef' inside a loop"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\ngo r 0 = return ()\ngo r n = do { IORef.modifyIORef' r (\\x -> x + n); go r (n - 1) }\nmain = do { r <- IORef.newIORef 0; go r 5; v <- IORef.readIORef r; return v }"))
+  (list "IO" 15))
+
+(hk-test
+  "newIORef inside a function passed via parameter"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.IORef as IORef\nbump r = IORef.modifyIORef r (\\x -> x + 100)\nmain = do { r <- IORef.newIORef 1; bump r; v <- IORef.readIORef r; return v }"))
+  (list "IO" 101))

lib/haskell/tests/map.sx

@@ -0,0 +1,196 @@
+;; map.sx — Phase 11 Data.Map unit tests.
+;;
+;; Tests both the SX-level `hk-map-*` helpers and the Haskell-level
+;; `Map.*` aliases bound by the import handler.
+
+(define
+  hk-as-list
+  (fn
+    (xs)
+    (cond
+      ((and (list? xs) (= (first xs) "[]")) (list))
+      ((and (list? xs) (= (first xs) ":"))
+        (cons (nth xs 1) (hk-as-list (nth xs 2))))
+      (:else xs))))
+
+;; ── SX-level (direct hk-map-*) ───────────────────────────────
+(hk-test
+  "hk-map-empty: size 0, null true"
+  (list (hk-map-size hk-map-empty) (hk-map-null hk-map-empty))
+  (list 0 true))
+
+(hk-test
+  "hk-map-singleton: lookup hit"
+  (let
+    ((m (hk-map-singleton 5 "five")))
+    (list (hk-map-size m) (hk-map-lookup 5 m)))
+  (list 1 (list "Just" "five")))
+
+(hk-test
+  "hk-map-insert: lookup hit on inserted"
+  (let ((m (hk-map-insert 1 "a" hk-map-empty))) (hk-map-lookup 1 m))
+  (list "Just" "a"))
+
+(hk-test
+  "hk-map-lookup: miss returns Nothing"
+  (hk-map-lookup 99 (hk-map-singleton 1 "a"))
+  (list "Nothing"))
+
+(hk-test
+  "hk-map-insert: overwrites existing key"
+  (let
+    ((m (hk-map-insert 1 "second" (hk-map-insert 1 "first" hk-map-empty))))
+    (hk-map-lookup 1 m))
+  (list "Just" "second"))
+
+(hk-test
+  "hk-map-delete: removes key"
+  (let
+    ((m (hk-map-insert 2 "b" (hk-map-insert 1 "a" hk-map-empty))))
+    (let
+      ((m2 (hk-map-delete 1 m)))
+      (list (hk-map-size m2) (hk-map-lookup 1 m2) (hk-map-lookup 2 m2))))
+  (list 1 (list "Nothing") (list "Just" "b")))
+
+(hk-test
+  "hk-map-delete: missing key is no-op"
+  (let ((m (hk-map-singleton 1 "a"))) (hk-map-size (hk-map-delete 99 m)))
+  1)
+
+(hk-test
+  "hk-map-member: true on existing"
+  (hk-map-member 1 (hk-map-singleton 1 "a"))
+  true)
+
+(hk-test
+  "hk-map-member: false on missing"
+  (hk-map-member 99 (hk-map-singleton 1 "a"))
+  false)
+
+(hk-test
+  "hk-map-from-list: builds map; keys sorted"
+  (hk-map-keys
+    (hk-map-from-list
+      (list (list 3 "c") (list 1 "a") (list 5 "e") (list 2 "b"))))
+  (list 1 2 3 5))
+
+(hk-test
+  "hk-map-from-list: duplicates — last wins"
+  (hk-map-lookup
+    1
+    (hk-map-from-list (list (list 1 "first") (list 1 "second"))))
+  (list "Just" "second"))
+
+(hk-test
+  "hk-map-to-asc-list: ordered traversal"
+  (hk-map-to-asc-list
+    (hk-map-from-list (list (list 3 "c") (list 1 "a") (list 2 "b"))))
+  (list (list 1 "a") (list 2 "b") (list 3 "c")))
+
+(hk-test
+  "hk-map-elems: in key order"
+  (hk-map-elems
+    (hk-map-from-list (list (list 3 30) (list 1 10) (list 2 20))))
+  (list 10 20 30))
+
+(hk-test
+  "hk-map-union-with: combines duplicates"
+  (hk-map-to-asc-list
+    (hk-map-union-with
+      (fn (a b) (str a "+" b))
+      (hk-map-from-list (list (list 1 "a") (list 2 "b")))
+      (hk-map-from-list (list (list 2 "B") (list 3 "c")))))
+  (list (list 1 "a") (list 2 "b+B") (list 3 "c")))
+
+(hk-test
+  "hk-map-intersection-with: keeps shared keys"
+  (hk-map-to-asc-list
+    (hk-map-intersection-with
+      +
+      (hk-map-from-list (list (list 1 10) (list 2 20)))
+      (hk-map-from-list (list (list 2 200) (list 3 30)))))
+  (list (list 2 220)))
+
+(hk-test
+  "hk-map-difference: drops m2 keys"
+  (hk-map-keys
+    (hk-map-difference
+      (hk-map-from-list (list (list 1 "a") (list 2 "b") (list 3 "c")))
+      (hk-map-from-list (list (list 2 "x")))))
+  (list 1 3))
+
+(hk-test
+  "hk-map-foldl-with-key: in-order accumulate"
+  (hk-map-foldl-with-key
+    (fn (acc k v) (str acc k v))
+    ""
+    (hk-map-from-list (list (list 3 "c") (list 1 "a") (list 2 "b"))))
+  "1a2b3c")
+
+(hk-test
+  "hk-map-map-with-key: transforms values"
+  (hk-map-to-asc-list
+    (hk-map-map-with-key
+      (fn (k v) (* k v))
+      (hk-map-from-list (list (list 2 10) (list 3 100)))))
+  (list (list 2 20) (list 3 300)))
+
+(hk-test
+  "hk-map-filter-with-key: keeps matches"
+  (hk-map-keys
+    (hk-map-filter-with-key
+      (fn (k v) (> k 1))
+      (hk-map-from-list (list (list 1 "a") (list 2 "b") (list 3 "c")))))
+  (list 2 3))
+
+(hk-test
+  "hk-map-adjust: applies f to existing"
+  (hk-map-lookup
+    1
+    (hk-map-adjust (fn (v) (* v 10)) 1 (hk-map-singleton 1 5)))
+  (list "Just" 50))
+
+(hk-test
+  "hk-map-insert-with: combines on existing"
+  (hk-map-lookup 1 (hk-map-insert-with + 1 5 (hk-map-singleton 1 10)))
+  (list "Just" 15))
+
+(hk-test
+  "hk-map-alter: Nothing → delete"
+  (hk-map-size
+    (hk-map-alter
+      (fn (mv) (list "Nothing"))
+      1
+      (hk-map-from-list (list (list 1 "a") (list 2 "b")))))
+  1)
+
+;; ── Haskell-level (Map.*) via import wiring ─────────────────
+(hk-test
+  "Map.size after Map.insert chain"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.Map as Map\nmain = Map.size (Map.insert 2 \"b\" (Map.insert 1 \"a\" Map.empty))"))
+  2)
+
+(hk-test
+  "Map.lookup hit"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.Map as Map\nmain = Map.lookup 1 (Map.insert 1 \"a\" Map.empty)"))
+  (list "Just" "a"))
+
+(hk-test
+  "Map.lookup miss"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.Map as Map\nmain = Map.lookup 99 (Map.insert 1 \"a\" Map.empty)"))
+  (list "Nothing"))
+
+(hk-test
+  "Map.member true"
+  (hk-deep-force
+    (hk-run
+      "import qualified Data.Map as Map\nmain = Map.member 5 (Map.insert 5 \"x\" Map.empty)"))
+  (list "True"))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/numerics.sx

@@ -0,0 +1,180 @@
+;; numerics.sx — Phase 10 numeric tower verification.
+;;
+;; Practical integer-precision limit in Haskell-on-SX:
+;;   • Raw SX `(* a b)` stays exact up to ±2^62 (≈ 4.6e18, OCaml int63).
+;;   • BUT the Haskell tokenizer/parser parses an integer literal as a float
+;;     once it exceeds 2^53 (≈ 9.007e15). Once any operand is a float, the
+;;     binop result is a float (and decimal-precision is lost past 2^53).
+;;   • Therefore: programs that stay below ~9e15 are exact; larger literals
+;;     or accumulated products silently become floats. `factorial 18` is the
+;;     last factorial that stays exact (6.4e15); `factorial 19` already floats.
+;;
+;; In Haskell terms, `Int` and `Integer` both currently map to SX number, so
+;; we don't yet support arbitrary-precision Integer. Documented; unbounded
+;; Integer is out of scope for Phase 10 — see Phase 11+ if it becomes needed.
+
+(define
+  hk-as-list
+  (fn
+    (xs)
+    (cond
+      ((and (list? xs) (= (first xs) "[]")) (list))
+      ((and (list? xs) (= (first xs) ":"))
+        (cons (nth xs 1) (hk-as-list (nth xs 2))))
+      (:else xs))))
+
+(hk-test
+  "factorial 10 = 3628800 (small, exact)"
+  (hk-deep-force
+    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = fact 10"))
+  3628800)
+
+(hk-test
+  "factorial 15 = 1307674368000 (mid-range, exact)"
+  (hk-deep-force
+    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = fact 15"))
+  1307674368000)
+
+(hk-test
+  "factorial 18 = 6402373705728000 (last exact factorial)"
+  (hk-deep-force
+    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = fact 18"))
+  6402373705728000)
+
+(hk-test
+  "1000000 * 1000000 = 10^12 (exact)"
+  (hk-deep-force (hk-run "main = 1000000 * 1000000"))
+  1000000000000)
+
+(hk-test
+  "1000000000 * 1000000000 = 10^18 (exact, at boundary)"
+  (hk-deep-force (hk-run "main = 1000000000 * 1000000000"))
+  1e+18)
+
+(hk-test
+  "2^62 boundary: pow accumulates exactly"
+  (hk-deep-force
+    (hk-run "pow b 0 = 1\npow b n = b * pow b (n - 1)\nmain = pow 2 62"))
+  4.6116860184273879e+18)
+
+(hk-test
+  "show factorial 12 = 479001600 (whole, fits in 32-bit)"
+  (hk-deep-force
+    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = show (fact 12)"))
+  "479001600")
+
+(hk-test
+  "negate large positive — preserves magnitude"
+  (hk-deep-force (hk-run "main = negate 1000000000000000000"))
+  -1e+18)
+
+(hk-test
+  "abs negative large — preserves magnitude"
+  (hk-deep-force (hk-run "main = abs (negate 1000000000000000000)"))
+  1e+18)
+
+(hk-test
+  "div on large ints"
+  (hk-deep-force (hk-run "main = div 1000000000000000000 1000000000"))
+  1000000000)
+
+(hk-test
+  "fromIntegral 42 = 42 (identity in our runtime)"
+  (hk-deep-force (hk-run "main = fromIntegral 42"))
+  42)
+
+(hk-test
+  "fromIntegral preserves negative"
+  (hk-deep-force (hk-run "main = fromIntegral (negate 7)"))
+  -7)
+
+(hk-test
+  "fromIntegral round-trips through arithmetic"
+  (hk-deep-force (hk-run "main = fromIntegral 5 + fromIntegral 3"))
+  8)
+
+(hk-test
+  "fromIntegral in a program (mixing with map)"
+  (hk-as-list (hk-deep-force (hk-run "main = map fromIntegral [1,2,3]")))
+  (list 1 2 3))
+
+(hk-test
+  "toInteger 100 = 100 (identity)"
+  (hk-deep-force (hk-run "main = toInteger 100"))
+  100)
+
+(hk-test
+  "fromInteger 7 = 7 (identity)"
+  (hk-deep-force (hk-run "main = fromInteger 7"))
+  7)
+
+(hk-test
+  "toInteger / fromInteger round-trip"
+  (hk-deep-force (hk-run "main = fromInteger (toInteger 42)"))
+  42)
+
+(hk-test
+  "toInteger preserves negative"
+  (hk-deep-force (hk-run "main = toInteger (negate 13)"))
+  -13)
+
+(hk-test
+  "show 3.14 = 3.14"
+  (hk-deep-force (hk-run "main = show 3.14"))
+  "3.14")
+
+(hk-test
+  "show 1.0e10 — whole-valued float renders as decimal (int/float ambiguity)"
+  (hk-deep-force (hk-run "main = show 1.0e10"))
+  "10000000000")
+
+(hk-test
+  "show 0.001 uses scientific form (sub-0.1)"
+  (hk-deep-force (hk-run "main = show 0.001"))
+  "1.0e-3")
+
+(hk-test
+  "show negative float"
+  (hk-deep-force (hk-run "main = show (negate 3.14)"))
+  "-3.14")
+
+(hk-test "sqrt 16 = 4" (hk-deep-force (hk-run "main = sqrt 16")) 4)
+
+(hk-test "floor 3.7 = 3" (hk-deep-force (hk-run "main = floor 3.7")) 3)
+
+(hk-test "ceiling 3.2 = 4" (hk-deep-force (hk-run "main = ceiling 3.2")) 4)
+
+(hk-test
+  "ceiling on whole = self"
+  (hk-deep-force (hk-run "main = ceiling 4"))
+  4)
+
+(hk-test "round 2.6 = 3" (hk-deep-force (hk-run "main = round 2.6")) 3)
+
+(hk-test
+  "truncate -3.7 = -3"
+  (hk-deep-force (hk-run "main = truncate (negate 3.7)"))
+  -3)
+
+(hk-test "recip 4.0 = 0.25" (hk-deep-force (hk-run "main = recip 4.0")) 0.25)
+
+(hk-test "1.0 / 4.0 = 0.25" (hk-deep-force (hk-run "main = 1.0 / 4.0")) 0.25)
+
+(hk-test
+  "fromRational 0.5 = 0.5 (identity)"
+  (hk-deep-force (hk-run "main = fromRational 0.5"))
+  0.5)
+
+(hk-test "pi ≈ 3.14159" (hk-deep-force (hk-run "main = pi")) 3.14159)
+
+(hk-test "exp 0 = 1" (hk-deep-force (hk-run "main = exp 0")) 1)
+
+(hk-test "sin 0 = 0" (hk-deep-force (hk-run "main = sin 0")) 0)
+
+(hk-test "cos 0 = 1" (hk-deep-force (hk-run "main = cos 0")) 1)
+
+(hk-test "2 ** 10 = 1024" (hk-deep-force (hk-run "main = 2 ** 10")) 1024)
+
+(hk-test "log (exp 5) ≈ 5" (hk-deep-force (hk-run "main = log (exp 5)")) 5)
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/parse-extras.sx

@@ -0,0 +1,102 @@
+;; Phase 17 — parser polish unit tests.
+
+(hk-test
+  "type-ann: literal int annotated"
+  (hk-deep-force (hk-run "main = (42 :: Int)"))
+  42)
+
+(hk-test
+  "type-ann: arithmetic annotated"
+  (hk-deep-force (hk-run "main = (1 + 2 :: Int)"))
+  3)
+
+(hk-test
+  "type-ann: function arg annotated"
+  (hk-deep-force
+    (hk-run "f x = x + 1\nmain = f (1 :: Int)"))
+  2)
+
+(hk-test
+  "type-ann: string annotated"
+  (hk-deep-force (hk-run "main = (\"hi\" :: String)"))
+  "hi")
+
+(hk-test
+  "type-ann: bool annotated"
+  (hk-deep-force (hk-run "main = (True :: Bool)"))
+  (list "True"))
+
+(hk-test
+  "type-ann: tuple annotated"
+  (hk-deep-force (hk-run "main = ((1, 2) :: (Int, Int))"))
+  (list "Tuple" 1 2))
+
+(hk-test
+  "type-ann: nested annotation in arithmetic"
+  (hk-deep-force (hk-run "main = (1 :: Int) + (2 :: Int)"))
+  3)
+
+(hk-test
+  "type-ann: function-typed annotation passes through eval"
+  (hk-deep-force
+    (hk-run "main = let f = ((\\x -> x + 1) :: Int -> Int) in f 5"))
+  6)
+
+(hk-test
+  "no regression: plain parens still work"
+  (hk-deep-force (hk-run "main = (5)"))
+  5)
+
+(hk-test
+  "no regression: 3-tuple still works"
+  (hk-deep-force (hk-run "main = (1, 2, 3)"))
+  (list "Tuple" 1 2 3))
+
+(hk-test
+  "no regression: section-left still works"
+  (hk-deep-force (hk-run "main = (3 +) 4"))
+  7)
+
+(hk-test
+  "no regression: section-right still works"
+  (hk-deep-force (hk-run "main = (+ 3) 4"))
+  7)
+
+(hk-test
+  "import: still works as the very first decl"
+  (hk-deep-force
+    (hk-run "import qualified Data.IORef as I
+main = do { r <- I.newIORef 7; I.readIORef r }"))
+  (list "IO" 7))
+
+(hk-test
+  "import: between decls — after main"
+  (hk-deep-force
+    (hk-run "main = do { r <- I.newIORef 11; I.readIORef r }
+import qualified Data.IORef as I"))
+  (list "IO" 11))
+
+(hk-test
+  "import: between two decls — uses helper after import"
+  (hk-deep-force
+    (hk-run "f x = x + 100
+import qualified Data.IORef as I
+main = do { r <- I.newIORef 5; I.modifyIORef r f; I.readIORef r }"))
+  (list "IO" 105))
+
+(hk-test
+  "import: two imports in different positions"
+  (hk-deep-force
+    (hk-run "import qualified Data.IORef as I
+helper x = x * 2
+import qualified Data.Map as M
+main = do { r <- I.newIORef (helper 21); I.readIORef r }"))
+  (list "IO" 42))
+
+(hk-test
+  "import: unqualified, mid-file"
+  (hk-deep-force
+    (hk-run "go x = x
+import Data.IORef
+main = go 9"))
+  9)

lib/haskell/tests/program-accumulate.sx

@@ -0,0 +1,81 @@
+;; accumulate.hs — accumulate results into an IORef [Int] (Phase 15 conformance).
+
+(define
+  hk-accumulate-source
+  "import qualified Data.IORef as IORef\n\npush :: IORef [Int] -> Int -> IO ()\npush r x = IORef.modifyIORef r (\\xs -> x : xs)\n\npushAll :: IORef [Int] -> [Int] -> IO ()\npushAll r [] = return ()\npushAll r (x:xs) = do\n  push r x\n  pushAll r xs\n\nreadReversed :: IORef [Int] -> IO [Int]\nreadReversed r = do\n  xs <- IORef.readIORef r\n  return (reverse xs)\n\ndoubleEach :: IORef [Int] -> [Int] -> IO ()\ndoubleEach r [] = return ()\ndoubleEach r (x:xs) = do\n  push r (x * 2)\n  doubleEach r xs\n\nsumIntoRef :: IORef Int -> [Int] -> IO ()\nsumIntoRef r [] = return ()\nsumIntoRef r (x:xs) = do\n  IORef.modifyIORef r (\\acc -> acc + x)\n  sumIntoRef r xs\n\n")
+
+(hk-test
+  "accumulate.hs — push three then read length"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef []; push r 1; push r 2; push r 3; xs <- IORef.readIORef r; return (length xs) }")))
+  (list "IO" 3))
+
+(hk-test
+  "accumulate.hs — pushAll preserves reverse order"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef []; pushAll r [1,2,3,4]; xs <- IORef.readIORef r; return xs }")))
+  (list
+    "IO"
+    (list ":" 4 (list ":" 3 (list ":" 2 (list ":" 1 (list "[]")))))))
+
+(hk-test
+  "accumulate.hs — readReversed gives original order"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef []; pushAll r [10,20,30]; readReversed r }")))
+  (list "IO" (list ":" 10 (list ":" 20 (list ":" 30 (list "[]"))))))
+
+(hk-test
+  "accumulate.hs — doubleEach maps then accumulates"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef []; doubleEach r [1,2,3]; readReversed r }")))
+  (list "IO" (list ":" 2 (list ":" 4 (list ":" 6 (list "[]"))))))
+
+(hk-test
+  "accumulate.hs — sum into Int IORef"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef 0; sumIntoRef r [1,2,3,4,5]; v <- IORef.readIORef r; return v }")))
+  (list "IO" 15))
+
+(hk-test
+  "accumulate.hs — empty list leaves ref untouched"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef [99]; pushAll r []; xs <- IORef.readIORef r; return xs }")))
+  (list "IO" (list ":" 99 (list "[]"))))
+
+(hk-test
+  "accumulate.hs — pushAll then sumIntoRef on the same input"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "main = do { r <- IORef.newIORef 0; sumIntoRef r [10,20,30,40]; v <- IORef.readIORef r; return v }")))
+  (list "IO" 100))
+
+(hk-test
+  "accumulate.hs — accumulate results from a recursive helper"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-accumulate-source
+        "squaresUpTo r 0 = return ()\nsquaresUpTo r n = do { push r (n * n); squaresUpTo r (n - 1) }\nmain = do { r <- IORef.newIORef []; squaresUpTo r 4; readReversed r }")))
+  (list
+    "IO"
+    (list ":" 16 (list ":" 9 (list ":" 4 (list ":" 1 (list "[]")))))))

lib/haskell/tests/program-caesar.sx

@@ -0,0 +1,80 @@
+;; caesar.hs — Caesar cipher.
+;; Source: https://rosettacode.org/wiki/Caesar_cipher#Haskell (adapted).
+;;
+;; Exercises chr, ord, isUpper, isLower, mod, string pattern matching
+;; (x:xs) over a String (which is now a [Char] string view), and map
+;; from the Phase 7 string=[Char] foundation.
+
+(define
+  hk-prog-val
+  (fn
+    (src name)
+    (hk-deep-force (get (hk-eval-program (hk-core src)) name))))
+
+(define
+  hk-as-list
+  (fn
+    (xs)
+    (cond
+      ((and (list? xs) (= (first xs) "[]")) (list))
+      ((and (list? xs) (= (first xs) ":"))
+        (cons (nth xs 1) (hk-as-list (nth xs 2))))
+      (:else xs))))
+
+(define
+  hk-caesar-source
+  "shift n c = if isUpper c\n              then chr (mod ((ord c) - 65 + n) 26 + 65)\n              else if isLower c\n                     then chr (mod ((ord c) - 97 + n) 26 + 97)\n                     else chr c\n\ncaesarRec n []     = []\ncaesarRec n (x:xs) = shift n x : caesarRec n xs\n\ncaesarMap n s = map (shift n) s\n")
+
+(hk-test
+  "caesar.hs — caesarRec 3 \"ABC\" = DEF"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 3 \"ABC\"\n") "r"))
+  (list "D" "E" "F"))
+
+(hk-test
+  "caesar.hs — caesarRec 13 \"Hello\" = Uryyb"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 13 \"Hello\"\n") "r"))
+  (list "U" "r" "y" "y" "b"))
+
+(hk-test
+  "caesar.hs — caesarRec 1 \"AZ\" wraps to BA"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 1 \"AZ\"\n") "r"))
+  (list "B" "A"))
+
+(hk-test
+  "caesar.hs — caesarRec 0 \"World\" identity"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 0 \"World\"\n") "r"))
+  (list "W" "o" "r" "l" "d"))
+
+(hk-test
+  "caesar.hs — caesarRec preserves punctuation"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 3 \"Hi!\"\n") "r"))
+  (list "K" "l" "!"))
+
+(hk-test
+  "caesar.hs — caesarMap 3 \"abc\" via map"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarMap 3 \"abc\"\n") "r"))
+  (list "d" "e" "f"))
+
+(hk-test
+  "caesar.hs — caesarMap 13 round-trips with caesarMap 13"
+  (hk-as-list
+    (hk-prog-val
+      (str
+        hk-caesar-source
+        "r = caesarMap 13 (foldr (\\c acc -> c : acc) [] (caesarMap 13 \"Hello\"))\n")
+      "r"))
+  (list "H" "e" "l" "l" "o"))
+
+(hk-test
+  "caesar.hs — caesarRec 25 \"AB\" = ZA"
+  (hk-as-list
+    (hk-prog-val (str hk-caesar-source "r = caesarRec 25 \"AB\"\n") "r"))
+  (list "Z" "A"))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-config.sx

@@ -0,0 +1,63 @@
+;; config.hs — multi-field config record; partial update; defaultConfig
+;;            constant.
+;;
+;; Exercises Phase 14: 4-field record, defaultConfig as a CAF, partial
+;; updates that change one or two fields, accessors over derived configs.
+
+(define
+  hk-config-source
+  "data Config = Config { host :: String, port :: Int, retries :: Int, debug :: Bool } deriving (Show)\n\ndefaultConfig = Config { host = \"localhost\", port = 8080, retries = 3, debug = False }\n\ndevConfig = defaultConfig { debug = True }\nremoteConfig = defaultConfig { host = \"api.example.com\", port = 443 }\n")
+
+(hk-test
+  "config.hs — defaultConfig host"
+  (hk-deep-force (hk-run (str hk-config-source "main = host defaultConfig")))
+  "localhost")
+
+(hk-test
+  "config.hs — defaultConfig port"
+  (hk-deep-force (hk-run (str hk-config-source "main = port defaultConfig")))
+  8080)
+
+(hk-test
+  "config.hs — defaultConfig retries"
+  (hk-deep-force
+    (hk-run (str hk-config-source "main = retries defaultConfig")))
+  3)
+
+(hk-test
+  "config.hs — devConfig flips debug"
+  (hk-deep-force (hk-run (str hk-config-source "main = debug devConfig")))
+  (list "True"))
+
+(hk-test
+  "config.hs — devConfig preserves host"
+  (hk-deep-force (hk-run (str hk-config-source "main = host devConfig")))
+  "localhost")
+
+(hk-test
+  "config.hs — devConfig preserves port"
+  (hk-deep-force (hk-run (str hk-config-source "main = port devConfig")))
+  8080)
+
+(hk-test
+  "config.hs — remoteConfig new host"
+  (hk-deep-force (hk-run (str hk-config-source "main = host remoteConfig")))
+  "api.example.com")
+
+(hk-test
+  "config.hs — remoteConfig new port"
+  (hk-deep-force (hk-run (str hk-config-source "main = port remoteConfig")))
+  443)
+
+(hk-test
+  "config.hs — remoteConfig preserves retries"
+  (hk-deep-force
+    (hk-run (str hk-config-source "main = retries remoteConfig")))
+  3)
+
+(hk-test
+  "config.hs — remoteConfig preserves debug"
+  (hk-deep-force (hk-run (str hk-config-source "main = debug remoteConfig")))
+  (list "False"))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-counter.sx

@@ -0,0 +1,66 @@
+;; counter.hs — IORef-backed mutable counter (Phase 15 conformance).
+
+(define
+  hk-counter-source
+  "import qualified Data.IORef as IORef\n\ncount :: IORef Int -> Int -> IO ()\ncount r 0 = return ()\ncount r n = do\n  IORef.modifyIORef r (\\x -> x + 1)\n  count r (n - 1)\n\ncountBy :: IORef Int -> Int -> Int -> IO ()\ncountBy r step 0 = return ()\ncountBy r step n = do\n  IORef.modifyIORef r (\\x -> x + step)\n  countBy r step (n - 1)\n\nnewCounter :: Int -> IO (IORef Int)\nnewCounter v = IORef.newIORef v\n\nbumpAndRead :: IORef Int -> IO Int\nbumpAndRead r = do\n  IORef.modifyIORef r (\\x -> x + 1)\n  IORef.readIORef r\n\n")
+
+(hk-test
+  "counter.hs — start at 0, count 5 ⇒ 5"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "main = do { r <- newCounter 0; count r 5; v <- IORef.readIORef r; return v }")))
+  (list "IO" 5))
+
+(hk-test
+  "counter.hs — start at 100, count 10 ⇒ 110"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "main = do { r <- newCounter 100; count r 10; v <- IORef.readIORef r; return v }")))
+  (list "IO" 110))
+
+(hk-test
+  "counter.hs — countBy step 5, n 4 ⇒ 20"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "main = do { r <- newCounter 0; countBy r 5 4; v <- IORef.readIORef r; return v }")))
+  (list "IO" 20))
+
+(hk-test
+  "counter.hs — bumpAndRead returns updated value"
+  (hk-deep-force
+    (hk-run
+      (str hk-counter-source "main = do { r <- newCounter 41; bumpAndRead r }")))
+  (list "IO" 42))
+
+(hk-test
+  "counter.hs — count then countBy compose"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "main = do { r <- newCounter 0; count r 3; countBy r 10 2; v <- IORef.readIORef r; return v }")))
+  (list "IO" 23))
+
+(hk-test
+  "counter.hs — two independent counters"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "main = do { a <- newCounter 0; b <- newCounter 0; count a 7; countBy b 100 2; va <- IORef.readIORef a; vb <- IORef.readIORef b; return (va + vb) }")))
+  (list "IO" 207))
+
+(hk-test
+  "counter.hs — modifyIORef' (strict) variant"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-counter-source
+        "tick r 0 = return ()\ntick r n = do { IORef.modifyIORef' r (\\x -> x + 1); tick r (n - 1) }\nmain = do { r <- newCounter 0; tick r 50; v <- IORef.readIORef r; return v }")))
+  (list "IO" 50))

lib/haskell/tests/program-mapgraph.sx

@@ -0,0 +1,46 @@
+;; mapgraph.hs — adjacency-list using Data.Map (BFS-style traversal).
+;;
+;; Exercises Phase 11: `import qualified Data.Map as Map`, `Map.empty`,
+;; `Map.insert`, `Map.lookup`, `Map.findWithDefault`. Adjacency lists are
+;; stored as `Map Int [Int]`; `neighbors` does a default-empty lookup.
+
+(define
+  hk-mapgraph-source
+  "import qualified Data.Map as Map\n\nemptyG = Map.empty\n\naddEdge u v g = Map.insertWith add u [v] g\n  where add new old = new ++ old\n\nbuild = addEdge 1 2 (addEdge 1 3 (addEdge 2 4 (addEdge 3 4 (addEdge 4 5 emptyG))))\n\nneighbors n g = Map.findWithDefault [] n g\n")
+
+(hk-test
+  "mapgraph.hs — neighbors of 1"
+  (hk-deep-force
+    (hk-run (str hk-mapgraph-source "main = neighbors 1 build\n")))
+  (list ":" 2 (list ":" 3 (list "[]"))))
+
+(hk-test
+  "mapgraph.hs — neighbors of 4"
+  (hk-deep-force
+    (hk-run (str hk-mapgraph-source "main = neighbors 4 build\n")))
+  (list ":" 5 (list "[]")))
+
+(hk-test
+  "mapgraph.hs — neighbors of 5 (leaf, no entry) defaults to []"
+  (hk-deep-force
+    (hk-run (str hk-mapgraph-source "main = neighbors 5 build\n")))
+  (list "[]"))
+
+(hk-test
+  "mapgraph.hs — neighbors of 99 (absent) defaults to []"
+  (hk-deep-force
+    (hk-run (str hk-mapgraph-source "main = neighbors 99 build\n")))
+  (list "[]"))
+
+(hk-test
+  "mapgraph.hs — Map.member 1"
+  (hk-deep-force
+    (hk-run (str hk-mapgraph-source "main = Map.member 1 build\n")))
+  (list "True"))
+
+(hk-test
+  "mapgraph.hs — Map.size = 4 source nodes"
+  (hk-deep-force (hk-run (str hk-mapgraph-source "main = Map.size build\n")))
+  4)
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-newton.sx

@@ -0,0 +1,49 @@
+;; newton.hs — Newton's method for square root.
+;; Source: classic numerical analysis exercise.
+;;
+;; Exercises Phase 10: `Float`, `abs`, `/`, iteration via `until`.
+
+(define
+  hk-prog-val
+  (fn
+    (src name)
+    (hk-deep-force (get (hk-eval-program (hk-core src)) name))))
+
+(define
+  hk-newton-source
+  "improve x guess = (guess + x / guess) / 2\n\ngoodEnough x guess = abs (guess * guess - x) < 0.0001\n\nnewtonSqrt x = newtonHelp x 1.0\n\nnewtonHelp x guess = if goodEnough x guess\n                       then guess\n                       else newtonHelp x (improve x guess)\n")
+
+(hk-test
+  "newton.hs — newtonSqrt 4 ≈ 2"
+  (hk-prog-val
+    (str hk-newton-source "r = abs (newtonSqrt 4.0 - 2.0) < 0.001\n")
+    "r")
+  (list "True"))
+
+(hk-test
+  "newton.hs — newtonSqrt 9 ≈ 3"
+  (hk-prog-val
+    (str hk-newton-source "r = abs (newtonSqrt 9.0 - 3.0) < 0.001\n")
+    "r")
+  (list "True"))
+
+(hk-test
+  "newton.hs — newtonSqrt 2 ≈ 1.41421"
+  (hk-prog-val
+    (str hk-newton-source "r = abs (newtonSqrt 2.0 - 1.41421) < 0.001\n")
+    "r")
+  (list "True"))
+
+(hk-test
+  "newton.hs — improve converges (one step)"
+  (hk-prog-val (str hk-newton-source "r = improve 4.0 1.0\n") "r")
+  2.5)
+
+(hk-test
+  "newton.hs — newtonSqrt 100 ≈ 10"
+  (hk-prog-val
+    (str hk-newton-source "r = abs (newtonSqrt 100.0 - 10.0) < 0.001\n")
+    "r")
+  (list "True"))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-partial.sx

@@ -0,0 +1,58 @@
+;; partial.hs — exercises Phase 9 partial functions caught at the top level.
+;;
+;; Each program calls a partial function on bad input; hk-run-io catches the
+;; raise and appends the error message to io-lines so tests can inspect.
+
+(hk-test
+  "partial.hs — main = print (head [])"
+  (let
+    ((lines (hk-run-io "main = print (head [])")))
+    (>= (index-of (str lines) "Prelude.head: empty list") 0))
+  true)
+
+(hk-test
+  "partial.hs — main = print (tail [])"
+  (let
+    ((lines (hk-run-io "main = print (tail [])")))
+    (>= (index-of (str lines) "Prelude.tail: empty list") 0))
+  true)
+
+(hk-test
+  "partial.hs — main = print (fromJust Nothing)"
+  (let
+    ((lines (hk-run-io "main = print (fromJust Nothing)")))
+    (>= (index-of (str lines) "Maybe.fromJust: Nothing") 0))
+  true)
+
+(hk-test
+  "partial.hs — putStrLn before error preserves prior output"
+  (let
+    ((lines (hk-run-io "main = do { putStrLn \"step 1\"; putStrLn (show (head [])); putStrLn \"never\" }")))
+    (and
+      (>= (index-of (str lines) "step 1") 0)
+      (>= (index-of (str lines) "Prelude.head: empty list") 0)
+      (= (index-of (str lines) "never") -1)))
+  true)
+
+(hk-test
+  "partial.hs — undefined as IO action"
+  (let
+    ((lines (hk-run-io "main = print undefined")))
+    (>= (index-of (str lines) "Prelude.undefined") 0))
+  true)
+
+(hk-test
+  "partial.hs — catches error from a user-thrown error"
+  (let
+    ((lines (hk-run-io "main = error \"boom from main\"")))
+    (>= (index-of (str lines) "boom from main") 0))
+  true)
+
+;; Negative case: when no error is raised, io-lines doesn't contain
+;; "Prelude" prefixes from our error path.
+(hk-test
+  "partial.hs — happy path: head [42] succeeds, no error in output"
+  (hk-run-io "main = print (head [42])")
+  (list "42"))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-person.sx

@@ -0,0 +1,51 @@
+;; person.hs — record type with accessors, update, deriving Show.
+;;
+;; Exercises Phase 14: data with record syntax, accessor functions,
+;; record creation, record update, deriving Show on a record.
+
+(define
+  hk-person-source
+  "data Person = Person { name :: String, age :: Int } deriving (Show)\n\nalice = Person { name = \"alice\", age = 30 }\nbob = Person { name = \"bob\", age = 25 }\n\nbirthday p = p { age = age p + 1 }\n")
+
+(hk-test
+  "person.hs — alice's name"
+  (hk-deep-force (hk-run (str hk-person-source "main = name alice")))
+  "alice")
+
+(hk-test
+  "person.hs — alice's age"
+  (hk-deep-force (hk-run (str hk-person-source "main = age alice")))
+  30)
+
+(hk-test
+  "person.hs — birthday adds one year"
+  (hk-deep-force
+    (hk-run (str hk-person-source "main = age (birthday alice)")))
+  31)
+
+(hk-test
+  "person.hs — birthday preserves name"
+  (hk-deep-force
+    (hk-run (str hk-person-source "main = name (birthday alice)")))
+  "alice")
+
+(hk-test
+  "person.hs — show alice"
+  (hk-deep-force (hk-run (str hk-person-source "main = show alice")))
+  "Person \"alice\" 30")
+
+(hk-test
+  "person.hs — bob has different name"
+  (hk-deep-force (hk-run (str hk-person-source "main = name bob")))
+  "bob")
+
+(hk-test
+  "person.hs — pattern match in function"
+  (hk-deep-force
+    (hk-run
+      (str
+        hk-person-source
+        "greet (Person { name = n }) = \"Hi, \" ++ n\nmain = greet alice")))
+  "Hi, alice")
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}

lib/haskell/tests/program-runlength-str.sx

@@ -0,0 +1,83 @@
+;; runlength-str.hs — run-length encoding on a String.
+;; Source: https://rosettacode.org/wiki/Run-length_encoding#Haskell (adapted).
+;;
+;; Exercises String pattern matching `(x:xs)`, `span` over a string view,
+;; tuple construction `(Int, Char)`, character equality, and tuple-in-cons
+;; patterns `((n, c) : rest)` — all enabled by Phase 7 string=[Char].
+
+(define
+  hk-prog-val
+  (fn
+    (src name)
+    (hk-deep-force (get (hk-eval-program (hk-core src)) name))))
+
+(define
+  hk-as-list
+  (fn
+    (xs)
+    (cond
+      ((and (list? xs) (= (first xs) "[]")) (list))
+      ((and (list? xs) (= (first xs) ":"))
+        (cons (nth xs 1) (hk-as-list (nth xs 2))))
+      (:else xs))))
+
+(define
+  hk-rle-source
+  "encodeRL []     = []\nencodeRL (x:xs) = let (same, rest) = span eqX xs\n                      eqX y         = y == x\n                  in (1 + length same, x) : encodeRL rest\n\nreplicateRL 0 _ = []\nreplicateRL n c = c : replicateRL (n - 1) c\n\ndecodeRL []                = []\ndecodeRL ((n, c) : rest)   = replicateRL n c ++ decodeRL rest\n")
+
+(hk-test
+  "rle.hs — encodeRL [] = []"
+  (hk-as-list (hk-prog-val (str hk-rle-source "r = encodeRL \"\"\n") "r"))
+  (list))
+
+(hk-test
+  "rle.hs — length (encodeRL \"aabbbcc\") = 3"
+  (hk-prog-val (str hk-rle-source "r = length (encodeRL \"aabbbcc\")\n") "r")
+  3)
+
+(hk-test
+  "rle.hs — map fst (encodeRL \"aabbbcc\") = [2,3,2]"
+  (hk-as-list
+    (hk-prog-val (str hk-rle-source "r = map fst (encodeRL \"aabbbcc\")\n") "r"))
+  (list 2 3 2))
+
+(hk-test
+  "rle.hs — map snd (encodeRL \"aabbbcc\") = [97,98,99]"
+  (hk-as-list
+    (hk-prog-val (str hk-rle-source "r = map snd (encodeRL \"aabbbcc\")\n") "r"))
+  (list 97 98 99))
+
+(hk-test
+  "rle.hs — counts of encodeRL \"aabbbccddddee\" = [2,3,2,4,2]"
+  (hk-as-list
+    (hk-prog-val
+      (str hk-rle-source "r = map fst (encodeRL \"aabbbccddddee\")\n")
+      "r"))
+  (list 2 3 2 4 2))
+
+(hk-test
+  "rle.hs — chars of encodeRL \"aabbbccddddee\" = [97,98,99,100,101]"
+  (hk-as-list
+    (hk-prog-val
+      (str hk-rle-source "r = map snd (encodeRL \"aabbbccddddee\")\n")
+      "r"))
+  (list 97 98 99 100 101))
+
+(hk-test
+  "rle.hs — singleton encodeRL \"x\""
+  (hk-as-list
+    (hk-prog-val (str hk-rle-source "r = map fst (encodeRL \"x\")\n") "r"))
+  (list 1))
+
+(hk-test
+  "rle.hs — decodeRL round-trip preserves \"aabbbcc\""
+  (hk-as-list
+    (hk-prog-val (str hk-rle-source "r = decodeRL (encodeRL \"aabbbcc\")\n") "r"))
+  (list 97 97 98 98 98 99 99))
+
+(hk-test
+  "rle.hs — replicateRL 4 65 = [65,65,65,65]"
+  (hk-as-list (hk-prog-val (str hk-rle-source "r = replicateRL 4 65\n") "r"))
+  (list 65 65 65 65))
+
+{:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}