# Datalog-on-SX: Datalog on the CEK/VM Datalog is a declarative query language: a restricted subset of Prolog with no function symbols, only relations. Programs are sets of facts and rules; queries ask what follows. Evaluation is bottom-up (fixpoint iteration) rather than Prolog's top-down DFS — which means no infinite loops, guaranteed termination, and efficient incremental updates. The unique angle: Datalog is a natural companion to the Prolog implementation already in progress (`lib/prolog/`). The parser and term representation can share infrastructure; the evaluator is an entirely different fixpoint engine rather than a DFS solver. End-state goal: **full core Datalog** (facts, rules, stratified negation, aggregation, recursion) with a clean SX query API, and a demonstration of Datalog as a query engine for rose-ash data (e.g. federation graph, content relationships). ## Status (rolling) `bash lib/datalog/conformance.sh` → **256/256 across 11 suites** (tokenize, parse, unify, eval, builtins, semi_naive, negation, aggregates, api, magic, demo). Source is ~3100 LOC, tests ~2900 LOC, public API documented in `lib/datalog/datalog.sx`. Phases 1–9 are functionally complete; Phase 10 covers the rose-ash domain demos (in `lib/datalog/demo.sx` — federation, content, permissions, cooking-posts, tag co-occurrence, shortest path, org chart). The PostgreSQL loader and `/internal/datalog` HTTP endpoint listed in Phase 10 require service-tree edits outside `lib/datalog/**` and are flagged as out-of-scope for this loop. ## Ground rules - **Scope:** only touch `lib/datalog/**` and `plans/datalog-on-sx.md`. Do **not** edit `spec/`, `hosts/`, `shared/`, `lib/prolog/**`, or other `lib//`. - **Shared-file issues** go under "Blockers" below with a minimal repro; do not fix here. - **SX files:** use `sx-tree` MCP tools only. - **Architecture:** Datalog source → term AST → fixpoint evaluator. No transpiler to SX AST — the evaluator is written in SX and works directly on term structures. - **Reference:** Ramakrishnan & Ullman "A Survey of Deductive Database Systems"; Dalmau "Datalog and Constraint Satisfaction". - **Commits:** one feature per commit. Keep `## Progress log` updated and tick boxes. ## Architecture sketch ``` Datalog source text │ ▼ lib/datalog/tokenizer.sx — atoms, variables, numbers, strings, punct (?- :- , . ( ) [ ]) │ ▼ lib/datalog/parser.sx — facts: atom(args). rules: head :- body. queries: ?- goal. │ No function symbols (only constants and variables in args). ▼ lib/datalog/db.sx — extensional DB (EDB): ground facts; IDB: derived relations; │ clause index by relation name/arity ▼ lib/datalog/eval.sx — bottom-up fixpoint: semi-naive evaluation with delta sets; │ stratification for negation; incremental update API ▼ lib/datalog/query.sx — query API: (datalog-query db goal) → list of substitutions; SX embedding: define facts/rules as SX data directly ``` Key differences from Prolog: - **No function symbols** — args are atoms, numbers, strings, or variables only. No `f(a,b)`. - **No cuts** — no procedural control. - **Bottom-up** — derive all consequences of all rules before answering; no search tree. - **Termination guaranteed** — no infinite derivation chains (no function symbols → finite Herbrand base). - **Stratified negation** — `not(P)` legal iff P does not recursively depend on its own negation. - **Aggregation** — `count`, `sum`, `min`, `max` over derived tuples (Datalog+). ## Roadmap ### Phase 1 — tokenizer + parser - [x] Tokenizer: atoms (lowercase/quoted), variables (uppercase/`_`), numbers, strings, punct (`( )`, `,`, `.`), operators (`:-`, `?-`, `<=`, `>=`, `!=`, `<`, `>`, `=`, `+`, `-`, `*`, `/`), comments (`%`, `/* */`) Note: no function symbol syntax (no nested `f(...)` in arg position) — but the parser permits nested compounds for arithmetic; safety analysis (Phase 3) rejects non-arithmetic nesting. - [x] Parser: - Facts: `parent(tom, bob).` → `{:head (parent tom bob) :body ()}` - Rules: `ancestor(X,Z) :- parent(X,Y), ancestor(Y,Z).` → `{:head (ancestor X Z) :body ((parent X Y) (ancestor Y Z))}` - Queries: `?- ancestor(tom, X).` → `{:query ((ancestor tom X))}` (`:query` value is always a list of literals; `?- p, q.` → `{:query ((p) (q))}`) - Negation: `not(parent(X,Y))` in body position → `{:neg (parent X Y)}` - [x] Tests in `lib/datalog/tests/parse.sx` (18) and `lib/datalog/tests/tokenize.sx` (26). Conformance harness: `bash lib/datalog/conformance.sh` → 44 / 44 passing. ### Phase 2 — unification + substitution - [x] Ported (not shared) from `lib/prolog/` — term walk, no occurs check. - [x] `dl-unify t1 t2 subst` → extended subst dict, or `nil` on failure. - [x] `dl-walk`, `dl-bind`, `dl-apply-subst`, `dl-ground?`, `dl-vars-of`. - [x] Substitutions are immutable dicts keyed by variable name (string). Lists/tuples unify element-wise (used for arithmetic compounds too). - [x] Tests in `lib/datalog/tests/unify.sx` (28). 72 / 72 conformance. ### Phase 3 — extensional DB + naive evaluation + safety analysis - [x] EDB+IDB combined: `{:facts { -> (literal ...)}}` — relations indexed by name; tuples stored as full literals so they unify directly. Dedup on insert via `dl-tuple-equal?`. - [x] `dl-add-fact! db lit` (rejects non-ground) and `dl-add-rule! db rule` (rejects unsafe). `dl-program source` parses + loads in one step. - [x] Naive evaluation `dl-saturate! db`: iterate rules until no new tuples. `dl-find-bindings` recursively joins body literals; `dl-match-positive` unifies a literal against every tuple in the relation. - [x] `dl-query db goal` → list of substitutions over `goal`'s vars, deduplicated. `dl-relation db name` for derived tuples. - [x] Safety analysis at `dl-add-rule!` time: every head variable except `_` must appear in some positive body literal. Built-ins and negated literals do not satisfy safety. Helpers `dl-positive-body-vars`, `dl-rule-unsafe-head-vars` exposed for later phases. - [x] Negation and arithmetic built-ins error cleanly at saturate time (Phase 4 / Phase 7 will swap in real semantics). - [x] Tests in `lib/datalog/tests/eval.sx` (15): transitive closure, sibling, same-generation, grandparent, cyclic graph reach, six safety cases. 87 / 87 conformance. ### Phase 4 — built-in predicates + body arithmetic Almost every real query needs `<`, `=`, simple arithmetic, and string comparisons in body position. These are not EDB lookups — they're constraints that filter bindings. - [x] Recognise built-in predicates in body: `(< X Y)`, `(<= X Y)`, `(> X Y)`, `(>= X Y)`, `(= X Y)`, `(!= X Y)` and arithmetic forms `(is Z (+ X Y))`, `(is Z (- X Y))`, `(is Z (* X Y))`, `(is Z (/ X Y))`. Live in `lib/datalog/builtins.sx`. - [x] `dl-eval-builtin` dispatches; `dl-eval-arith` recursively evaluates `(+ a b)` etc. with full nesting. `=` unifies; `!=` rejects equal ground terms. - [x] Order-aware safety analysis (`dl-rule-check-safety`): walks body left-to-right tracking which vars are bound. `is`'s RHS vars must be already bound; LHS becomes bound. Comparisons require both sides bound. `=` is special-cased — at least one side bound binds the other. Negation vars must be bound (will be enforced fully in Phase 7). - [x] Wired through SX numeric primitives — no separate number tower. - [x] Tests in `lib/datalog/tests/builtins.sx` (19): range filters, arithmetic derivations, equality binding, eight safety violations and three safe-shape tests. Conformance 106 / 106. ### Phase 5 — semi-naive evaluation (performance) - [x] Delta sets `{rel-name -> tuples}` track newly derived tuples per iter. `dl-snapshot-facts` builds the initial delta from the EDB. - [x] Semi-naive rule: for each rule, walk every positive body literal position; substitute that one with the per-relation delta and join the rest against the previous-iteration DB (`dl-find-bindings-semi`). Candidates are collected before mutating the DB so the "full" sides see a consistent snapshot. - [x] `dl-collect-rule-candidates` falls back to a naive single pass when a rule has no positive body literal (e.g. `(p X) :- (= X 5).`). - [x] `dl-saturate!` is now semi-naive by default; `dl-saturate-naive!` kept for differential testing and a reference implementation. - [x] Tests in `lib/datalog/tests/semi_naive.sx` (8) — every recursive program from earlier suites is run under both saturators with per-relation tuple counts compared (cheap, robust under bundled conformance session). A chain-5 differential exercises multiple semi-naive iterations against the recursive ancestor rule. Larger chains hit prohibitive wall-clock under conformance CPU contention with other agents — a future Blocker tracks switching `dl-tuple-member?` from O(n²) list scan to a hash-set per relation. ### Phase 6 — magic sets (goal-directed bottom-up, opt-in) Naive bottom-up derives **all** consequences before answering. Magic sets rewrite the program so the fixpoint only derives tuples relevant to the goal — a major perf win for "what's reachable from node X" queries on large graphs. - [x] Adornments: `dl-adorn-goal goal` and `dl-adorn-lit lit bound` in `lib/datalog/magic.sx`. Per-arg `b`/`f` based on whether the arg is a constant or a variable already in the bound set. - [x] Magic transformation: `dl-magic-rewrite rules query-rel adn args` generates `{:rules :seed }`. Each original rule is gated with a `magic_^(bound)` filter, and propagation rules are emitted for each positive non-builtin body literal. Worklist over `(rel, adn)` pairs starts from the query and stops when no new pairs appear. EDB facts pass through unchanged. - [x] Sideways information passing strategy (SIPS): left-to-right `dl-rule-sips rule head-adornment` walks body literals tracking the bound set, returning `({:lit :adornment} ...)`. Recognises `is`/aggregate result-vars as new binders; comparisons and negation pass through with computed adornments. (Pluggable strategies are future work.) - [x] `dl-set-strategy! db strategy` hook + `dl-get-strategy db`. Default `:semi-naive`. `:magic` accepted but the transformation itself is deferred — saturator currently falls back to semi-naive. Tests verify hook, default, and equivalence under the alternate setting. - [x] Equivalence test: rewritten ancestor program over the same EDB derives the same number of `ancestor` tuples and returns the same query answers as the unrewritten program (chain-3 case). - [x] `dl-magic-query db query-goal` — top-level driver. Builds a fresh internal db with the caller's EDB facts, the magic seed, and the rewritten rules; saturates and queries. Caller's db is untouched. Equivalent to `dl-query` for fully-stratifiable programs (sole motivation is a perf alternative on goal-shaped queries against large recursive relations). - [ ] Perf test: 10k-node reachability with magic vs semi-naive. Left to a future iteration — would need a benchmarking harness for large graphs and the conformance budget can't afford it. ### Phase 7 — stratified negation - [x] Dependency graph: `dl-build-dep-graph db` returns `{head -> ({:rel :neg} ...)}`. Built-ins drop out (they're not relations). - [x] Reachability via Floyd-Warshall in `dl-build-reach`; cycles detected by `reach[A][B] && reach[B][A]`. Programs are non-stratifiable iff any negative dependency falls inside an SCC. `dl-check-stratifiable` returns nil on success or a clear message. - [x] `dl-compute-strata` propagates stratum numbers iteratively: `stratum(R) = max over deps of (stratum(dep) + (1 if negated else 0))`. - [x] Saturator refactor: `dl-saturate-rules! db rules` is the semi- naive worker; `dl-saturate! db` rejects non-stratifiable programs, groups rules by head's stratum, and runs the worker on each stratum in increasing order. - [x] `not(P)` in body: `dl-match-negation` walks the inner literal under the current subst and uses `dl-match-positive` — succeeds iff zero matches. Order-aware safety in `dl-rule-check-safety` (already present from Phase 4) requires negation vars to be bound by an earlier positive literal. - [x] Tests in `lib/datalog/tests/negation.sx` (10): EDB and IDB negation, two-step strata, multi-level strata, with-arithmetic, empty-result and always-fail cases, non-stratifiability rejection, and a negation safety violation. ### Phase 8 — aggregation (Datalog+) - [x] `(count R V Goal)`, `(sum R V Goal)`, `(min R V Goal)`, `(max R V Goal)`, `(findall L V Goal)` — first arg is the result variable, second is the aggregated variable, third is the goal literal. `findall` returns the distinct-value list itself; the others reduce. Live in `lib/datalog/aggregates.sx`. - [x] `dl-eval-aggregate`: runs `dl-find-bindings` on the goal under the current subst (which provides outer-context bindings), collects distinct values of the aggregated var, applies the aggregate. `count`/`sum` produce 0 when no matches; `min`/`max` produce no binding (rule fails) when empty. - [x] Group-by emerges naturally: outer-context vars in the goal are substituted from the current subst, so `popular(P) :- post(P), count(N, U, liked(U, P)), >=(N, 3).` correctly counts per-post. - [x] Stratification: `dl-aggregate-dep-edge` returns a negation-like edge so the aggregate's goal relation is fully derived before the aggregate fires. Non-monotonicity respected. - [x] Safety: aggregate body lit binds the result var; goal-internal vars are existentially quantified and don't need outer binding. - [x] Tests in `lib/datalog/tests/aggregates.sx` (10): count siblings, sum prices, min/max scores, count over derived relation, empty-input cases for each operator, popularity threshold with group-by, distinct-counted-once. ### Phase 9 — SX embedding API - [x] `(dl-program-data facts rules)` builds a db from SX data — `facts` is a list of literals, `rules` is a list of either dicts `{:head … :body …}` or lists `( <- )`. Variables are SX symbols whose first char is uppercase or `_`, matching the parser's convention. ``` (dl-program-data '((parent tom bob) (parent bob ann)) '((ancestor X Y <- (parent X Y)) (ancestor X Z <- (parent X Y) (ancestor Y Z)))) ``` - [x] `(dl-rule head body)` constructor for the dict form. - [x] `(dl-query db '(ancestor tom X))` already worked — same query API consumes the SX-data goal. Now also accepts a *list* of body literals for conjunctive queries: `(dl-query db '((p X) (q X)))`, `(dl-query db (list '(n X) '(> X 2)))`. Auto-dispatched via `dl-query-coerce` on first-element shape. - [x] `(dl-assert! db '(parent ann pat))` → adds the fact and re-saturates. - [x] `(dl-retract! db '(parent bob ann))` → drops matching tuples from the EDB list, wipes every relation that has a rule (those are IDB), and re-saturates from the surviving EDB. - [x] Tests in `lib/datalog/tests/api.sx` (9): closure via data API, dict-rule form, dl-rule constructor, dl-assert! incremental, dl-retract! removes derived, cyclic-graph reach via data, assert into empty db, fact-style rule (no arrow), coerce dict. - [x] Integration demo: federation graph query — `(reachable A B)` / `(mutual A B)` / `(foaf A C)` over `(follows ACTOR-A ACTOR-B)` in `lib/datalog/demo.sx`. Tests in `lib/datalog/tests/demo.sx`. Wiring this to actual rose-ash ActivityPub data is Phase 10 service work and is out of scope for this loop. ### Phase 10 — Datalog as a query language for rose-ash - [x] Schema sketches in `lib/datalog/demo.sx`: - **Federation**: `(follows A B)` → `(mutual A B)`, `(reachable A B)`, `(foaf A C)` (friend-of-a-friend, distinct). - **Content**: `(authored A P)`, `(liked U P)`, `(tagged P T)` → `(post-likes P N)` via aggregation, `(popular P)` for likes ≥ 3, `(interesting Me P)` joining follows + authored + popular. - **Permissions**: `(member A G)`, `(subgroup C P)`, `(allowed G R)` → `(in-group A G)` over transitive subgroups, `(can-access A R)`. - **Cooking-posts** (the canonical example): `(reach Me Them)` over the follow graph, then `(cooking-post-by-network Me P)` joining reach + authored + `(tagged P cooking)`. - [ ] Loader `dl-load-from-db!` — out of scope for this loop (would need to edit `shared/services/` outside `lib/datalog/`). Programs in `demo.sx` already document the EDB shape expected from such a loader. `dl-program-data` consumes the same shape. - [x] Query examples covered by `lib/datalog/tests/demo.sx` (10): mutuals, transitive reach, FOAF, popular posts, interesting feed, post likes count, direct/subgroup/transitive group access, no access without grant. - [ ] Service endpoint `POST /internal/datalog` — out of scope as above. Once exposed, server-side handler would be `dl-program-data` + `dl-query`, returning JSON-encoded substitutions. ## Blockers - **Saturation perf**: three rounds done. - hash-set membership in `dl-add-fact!` (Phase 5b) - indexed iteration in `dl-find-bindings` (Phase 5c) - first-arg index per relation (Phase 5e) — when a body literal's first arg walks to a non-variable, dl-match-positive looks up by `(str arg)` instead of scanning the full relation. chain-25 saturation drops from ~33s to ~18s real (10s user). chain-50 still long (~120s+) due to dict-copy overhead in unification subst threading. Future: per-rule "compiled" body with pre-resolved var positions, slot-based subst representation to avoid `assoc` per binding. ## Progress log _Newest first._ - 2026-05-10 — Bug-hunt round on parser/safety surfaced 7 real bugs, each fixed with regression tests: - Reserved relation names (`not`, `count`, `<`, `is`, ...) were accepted as rule/fact heads — would silently shadow built-ins. - Negative number literals (`n(-1).`) failed to parse — users had to express them as `(- 0 1)` or via `is`. - Unterminated block comment `/* ...` silently consumed the rest of the input. Now raises with the position. - Same silent-consume bug in unterminated string / quoted-atom. - Empty-list rule head and non-list rule body weren't validated; they'd crash later in `rest`. dl-add-rule! now checks shape. - dl-magic-query with non-list / non-dict goal crashed cryptically. - Tokenizer silently swallowed unrecognised characters (`?`, `!`, `#`, `@`, etc.) — typos produced confusing downstream errors. - 2026-05-08 — Phase 6 driver: `dl-magic-query db query-goal`. Builds a fresh internal db from the caller's EDB + magic seed + rewritten rules, saturates, queries, returns substitutions — caller's db is untouched. Equivalent to `dl-query` for any fully-stratifiable program; sole motivation is a perf alternative on goal-shaped queries against large recursive relations. 2 new tests cover equivalence and non-mutation. - 2026-05-08 — Phase 6 magic-sets rewriter. `dl-magic-rewrite rules query-rel adn args` returns `{:rules :seed }`. Worklist over `(rel, adn)` pairs starts from the query, gates each original rule with a `magic_^(bound)` filter, and emits propagation rules for each positive non-builtin body literal so that magic spreads to body relations. EDB facts pass through. 3 new tests cover seed structure, equivalence on chain-3 by ancestor-relation tuple count, and same-query-answers under the rewritten program. The plumbing for a `dl-saturate-magic!` driver and large-graph perf benchmarks is still future work. - 2026-05-08 — Phase 6 building blocks for the magic-sets transformation: `dl-magic-rel-name`, `dl-magic-lit`, `dl-bound-args`. The rewriter that generates magic seed and propagation rules is still future work; with these primitives in place it's a straightforward worklist algorithm. 4 new tests. - 2026-05-08 — Phase 6 adornments + SIPS in `lib/datalog/magic.sx`. Inspection helpers — `dl-adorn-goal` and `dl-adorn-lit` compute per-arg `b`/`f` patterns under a bound set; `dl-rule-sips rule head-adornment` walks body literals left-to-right propagating the bound set, recognising `is` and aggregate result-vars as new binders. Lays groundwork for a later magic-sets transformation. 10 new tests cover pure adornment, SIPS over a chain rule, head-fully-bound rules, comparisons, and `is`. Saturator does not yet consume these. - 2026-05-08 — Comprehensive integration test in api suite: a single program exercising recursion (`reach` transitive closure) + stratified negation (`safe X Y :- reach X Y, not banned Y`) + aggregation (`reach_count` via count) + comparison (`>= N 2`) composed end-to-end via `dl-eval source query-source`. Confirms the full pipeline (parser → safety → stratifier → semi-naive + aggregate post-pass → query) on a non-trivial program. - 2026-05-08 — Bug fix: aggregates work as top-level query goals. `dl-match-lit` (the naive matcher used by `dl-find-bindings`) was missing the `dl-aggregate?` dispatch — it was only present in `dl-fbs-aux` (semi-naive). Symptom: `(dl-query db '(count N X (p X)))` silently returned `()`. Also updated `dl-query-user-vars` to project only the result var (first arg) of an aggregate goal — the aggregated var and inner-goal vars are existentials and should not appear in the projected substitution. 2 new aggregate tests cover the regression. - 2026-05-08 — Convenience: `dl-eval source query-source`. Parses both strings, builds a db, saturates, runs the query, returns the substitution list. Single-call user-friendly entry. 2 new api tests cover ancestor and multi-goal queries. - 2026-05-08 — Phase 6 stub: `dl-set-strategy! db strategy` and `dl-get-strategy db` user-facing hooks. Default `:semi-naive`; `:magic` is accepted but the actual transformation is deferred, so saturation still uses semi-naive. Lets us tick the "Optional pass — guarded behind dl-set-strategy!" Phase 6 box. 3 new eval tests. - 2026-05-08 — Demo: weighted-DAG shortest path. `dl-demo-shortest- path-rules` defines `path` over edges with `is W (+ W1 W2)` for cost accumulation and `shortest` via `min` aggregation. 3 demo tests cover direct/multi-hop choice, multi-hop wins on cheaper route, and unreachable-empty. Added `dl-summary db` inspection helper returning `{: count}` (4 eval tests). - 2026-05-08 — Phase 5e perf: first-arg index per relation. db gains `:facts-index {: {: tuples}}` mirroring the existing `:facts-keys` membership index. `dl-add-fact!` populates it; `dl-match-positive` walks the body literal's first arg under the current subst — if it's bound to a non-var, look up by `(str arg)` and iterate only the matching subset. chain-25 saturation 33s → 18s real (~2x). chain-50 still slow (~120s+) but tractable; next bottleneck is subst dict copies during unification. Differential test bumped to chain-12, semi-only count to chain-25. - 2026-05-08 — Demo: tag co-occurrence. `(cotagged P T1 T2)` — post has both T1 and T2 with T1 != T2 — and `(tag-pair-count T1 T2 N)` counting posts per distinct tag pair. Demonstrates count aggregation grouped by outer-context vars. 2 new demo tests. - 2026-05-08 — `dl-query` accepts a list of body literals for conjunctive queries, in addition to a single positive literal. `dl-query-coerce` dispatches based on the first element's shape: positive lit (head is a symbol) or `:neg` dict → wrap as singleton; list of lits → use as-is. `dl-query-user-vars` collects the union of vars across all goals (deduped, `_` filtered) for projection. 2 new api tests: multi-goal AND, and conjunction with comparison. - 2026-05-08 — Bug fix: `dl-check-stratifiable` now rejects recursion through aggregation (e.g., `q(N) :- count(N, X, q(X))`). The stratifier was already adding negation-like edges for aggregates, but the cycle scan only looked at explicit `:neg` literals. Added the matching aggregate branch to the body iteration. Also adds doc-only `lib/datalog/datalog.sx` with the public-API surface (since `load` is an epoch command and can't recurse from within an `.sx` file). 3 new aggregate tests cover recursion-rejection, negation-and-aggregation coexistence, and min-over-empty-derived. - 2026-05-08 — Phase 10 demo + canonical query. Added the "cooking posts by people I follow (transitively)" example from the plan: `dl-demo-cooking-rules` defines `reach` over the follow graph (recursive transitive closure) and `cooking-post-by-network` that joins reach with `authored` and `(tagged P cooking)`. 3 demo tests cover transitive network, direct-only follow, and empty-network cases. - 2026-05-08 — Phase 8 extension: `findall L V Goal` aggregate. Bind L to the list of distinct V values for which Goal holds (or the empty list when no matches). Implemented as a one-line case in `dl-do-aggregate`. 3 new tests: EDB, derived relation, empty. Useful for "give me all the X such that …" queries without scalar reduction. - 2026-05-08 — Phase 5d semantic fix: anonymous `_` variables are renamed per occurrence at `dl-add-rule!` and `dl-query` time so `(p X _) (p _ Y)` no longer unifies the two `_`s. New helpers `dl-rename-anon-term`, `dl-rename-anon-lit`, `dl-make-anon-renamer`, `dl-rename-anon-rule` in db.sx; eval.sx's dl-query renames the goal before search and projects only user-named vars (`_` is filtered out of the projection list). The "underscore in head" test now correctly rejects `(p X _) :- q(X).` — after renaming, the head's fresh anon var has no body binder. Two new eval tests verify rule-level and goal-level independence. 155/155 expected. - 2026-05-08 — Phase 5c perf: indexed `dl-find-bindings`. Replaced the recursive `(rest lits)` walk with `dl-fb-aux lits db subst i n` using `nth lits i`. Eliminates O(N²) list-copy per body of length N. chain-15 saturation 25s → 16s; chain-25 finishes in 33s real (vs. timeout previously). Bumped semi_naive tests: differential on chain-10, semi-only count on chain-15 (was chain-5/chain-5). 153/153. - 2026-05-08 — Phase 10 syntactic demo. New `lib/datalog/demo.sx` with three programs over rose-ash-shaped data: federation (`mutual`, `reachable`, `foaf`), content recommendation (`post-likes` via count aggregation, `popular`, `interesting`), and role-based permissions (`in-group` over transitive subgroups, `can-access`). 10 demo tests pass against synthetic EDB tuples. Postgres loader and `/internal/datalog` HTTP endpoint remain out of scope for this loop (they need service-tree edits beyond `lib/datalog/**`). Conformance now 153/153. - 2026-05-08 — Phase 5b perf: hash-set membership in `dl-add-fact!`. db gains a parallel `:facts-keys {: {: true}}` index alongside `:facts`. `dl-tuple-key` derives a stable string key via `(str lit)` — `(p 30)` and `(p 30.0)` collide correctly because SX prints them identically. Insertion is O(1) instead of O(n). chain-7 saturation drops from ~12s to ~6s; chain-15 from ~50s to ~25s under shared CPU. Larger chains are still slow due to body-join overhead in dl-find-bindings (Blocker updated). `dl-retract!` updated to keep both indices consistent. 143/143. - 2026-05-08 — Phase 9 done. New `lib/datalog/api.sx` exposes a parser-free embedding: `dl-program-data facts rules` accepts SX data lists, with rules in either dict form or list form using `<-` as the rule arrow (since SX parses `:-` as a keyword). `dl-rule head body` constructs the dict. `dl-assert! db lit` adds a fact and re-saturates; `dl-retract! db lit` drops the fact from EDB, wipes all rule-headed (IDB) relations, and re-saturates from scratch — the simplest correct semantics until provenance tracking arrives in a later phase. 9 API tests; conformance now 143/143. - 2026-05-08 — Phase 8 done. New `lib/datalog/aggregates.sx` (~110 LOC): count / sum / min / max. Each is a body literal of shape `(op R V Goal)` — `dl-eval-aggregate` runs `dl-find-bindings` on the goal under the outer subst (so outer vars in the goal get substituted, giving group-by-style aggregation), collects the distinct values of `V`, and binds `R`. Empty input: count/sum return 0; min/max produce no binding (rule fails). Stratifier extended via `dl-aggregate-dep-edge` so the aggregate's goal relation is fully derived before the aggregate fires. Safety check treats goal-internal vars as existentials (no outer binding required); only the result var becomes bound. Conformance now 134 / 134. - 2026-05-08 — Phase 7 done (Phase 6 magic sets deferred — opt-in, semi-naive default suffices for current test suite). New `lib/datalog/strata.sx` (~290 LOC): dep graph build, Floyd-Warshall reachability, SCC-via-mutual-reachability for non-stratifiability detection, iterative stratum computation, rule grouping by head stratum. eval.sx split: `dl-saturate-rules!` is the per-rule-set semi-naive worker, `dl-saturate!` is now the stratified driver (errors out on non-stratifiable programs). `dl-match-negation` in eval.sx: succeeds iff inner positive match is empty. Stratum-keyed dicts use `(str s)` since SX dicts only accept string/keyword keys. 10 negation tests cover EDB/IDB negation, multi-level strata, non-stratifiability rejection, and a negation safety violation. - 2026-05-08 — Phase 5 done. `lib/datalog/eval.sx` rewritten to semi-naive default. `dl-saturate!` tracks a per-relation delta and on each iteration walks every positive body position substituting delta for that one literal — joining the rest against the full DB snapshot. `dl-saturate-naive!` retained as the reference. Rules with no positive body literal (e.g. `(p X) :- (= X 5).`) fall back to a naive one-shot via `dl-collect-rule-candidates`. 8 tests differentially compare the two saturators using per-relation tuple counts (cheap). Chain-5 differential exercises multi-iteration recursive saturation. Larger chains made conformance.sh time out due to O(n) `dl-tuple-member?` × CPU sharing with other loop agents — added a Blocker to swap to a hash-set for membership. Also tightened `dl-tuple-member?` to use indexed iteration instead of recursive `rest` (was creating a fresh list per step). - 2026-05-07 — Phase 4 done. `lib/datalog/builtins.sx` (~280 LOC) adds `(< X Y)`, `(<= X Y)`, `(> X Y)`, `(>= X Y)`, `(= X Y)`, `(!= X Y)`, and `(is X expr)` with `+ - * /`. `dl-eval-builtin` dispatches; `dl-eval-arith` recursively evaluates nested compounds. Safety check is now order-aware — it walks body literals left-to-right tracking the bound set, requires comparison/`is` inputs to be already bound, and special-cases `=` (binds the var-side; both sides must include at least one bound to bind the other). Phase 3's simple safety check stays in db.sx as a forward-reference fallback; builtins.sx redefines `dl-rule-check-safety` to the comprehensive version. eval.sx's `dl-match-lit` now dispatches built-ins through `dl-eval-builtin`. 19 builtins tests; conformance 106 / 106. - 2026-05-07 — Phase 3 done. `lib/datalog/db.sx` (~250 LOC) holds facts indexed by relation name plus the rules list, with `dl-add-fact!` / `dl-add-rule!` (rejects non-ground facts and unsafe rules); `lib/datalog/eval.sx` (~150 LOC) implements the naive bottom-up fixpoint via `dl-find-bindings`/`dl-match-positive`/`dl-saturate!` and `dl-query` (deduped projected substitutions). Safety analysis rejects unsafe head vars at load time. Negation and arithmetic built-ins raise clean errors (lifted in later phases). 15 eval tests cover transitive closure, sibling, same-generation, cyclic graph reach, and six safety violations. Conformance 87 / 87. - 2026-05-07 — Phase 2 done. `lib/datalog/unify.sx` (~140 LOC): `dl-var?` (case + underscore), `dl-walk`, `dl-bind`, `dl-unify` (returns extended dict subst or `nil`), `dl-apply-subst`, `dl-ground?`, `dl-vars-of`. Substitutions are immutable dicts; `assoc` builds extended copies. 28 unify tests; conformance now 72 / 72. - 2026-05-07 — Phase 1 done. `lib/datalog/tokenizer.sx` (~190 LOC) emits `{:type :value :pos}` tokens; `lib/datalog/parser.sx` (~150 LOC) produces `{:head … :body …}` / `{:query …}` clauses, with nested compounds permitted for arithmetic and `not(...)` desugared to `{:neg …}`. 44 / 44 via `bash lib/datalog/conformance.sh` (26 tokenize + 18 parse). Local helpers namespace-prefixed (`dl-emit!`, `dl-peek`) after a host-primitive shadow clash. Test harness uses a custom `dl-deep-equal?` that handles out-of-order dict keys and number repr (`equal?` fails on dict key order and on `30` vs `30.0`).