mk: phase 4A — appendo canary green, both directions

Three coupled fixes plus a new relations module land together because
each is required for the next: appendo can't terminate without all
three.

1. unify.sx — added (:cons h t) tagged cons-cell shape because SX has no
   improper pairs. The unifier treats (:cons h t) and the native list
   (h . t) as equivalent. mk-walk* re-flattens cons cells back to flat
   lists for clean reification.

2. stream.sx — switched mature stream cells from plain SX lists to a
   (:s head tail) tagged shape so a mature head can have a thunk tail.
   With the old representation, mk-mplus had to (cons head thunk) which
   SX rejects (cons requires a list cdr).

3. conde.sx — wraps each clause in Zzz (inverse-eta delay) for laziness.
   Zzz uses (gensym "zzz-s-") for the substitution parameter so it does
   not capture user goals that follow the (l s ls) convention. Without
   gensym, every relation that uses `s` as a list parameter silently
   binds it to the substitution dict.

relations.sx is the new module: nullo, pairo, caro, cdro, conso,
firsto, resto, listo, appendo, membero. 25 new tests.

Canary green:
  (run* q (appendo (list 1 2) (list 3 4) q))
    → ((1 2 3 4))
  (run* q (fresh (l s) (appendo l s (list 1 2 3)) (== q (list l s))))
    → ((() (1 2 3)) ((1) (2 3)) ((1 2) (3)) ((1 2 3) ()))
  (run 3 q (listo q))
    → (() (_.0) (_.0 _.1))

152/152 cumulative.

plans/minikanren-on-sx.md

@@ -100,20 +100,21 @@ Key semantic mappings:
       `appendo` deferred to Phase 4.
 
 ### Phase 4 — standard relations
-- [ ] `appendo` `l` `s` `ls` — list append, runs forwards and backwards
-- [ ] `membero` `x` `l` — x is a member of l
-- [ ] `listo` `l` — l is a proper list
-- [ ] `nullo` `l` — l is empty
-- [ ] `pairo` `p` — p is a pair (cons cell)
-- [ ] `caro` `p` `a` — car of pair
-- [ ] `cdro` `p` `d` — cdr of pair
-- [ ] `conso` `a` `d` `p` — cons
-- [ ] `firsto` / `resto` — aliases for caro/cdro
+- [x] `appendo` `l` `s` `ls` — list append, runs forwards AND backwards.
+      Canary green: `(run* q (appendo (1 2) (3 4) q))` → `((1 2 3 4))`;
+      `(run* q (fresh (l s) (appendo l s (1 2 3)) (== q (list l s))))` →
+      all four splits.
+- [x] `membero` `x` `l` — enumerates: `(run* q (membero q (a b c)))` → `(a b c)`
+- [x] `listo` `l` — l is a proper list; enumerates list shapes with laziness
+- [x] `nullo` `l` — l is empty
+- [x] `pairo` `p` — p is a (non-empty) cons-cell / list
+- [x] `caro` / `cdro` / `conso` / `firsto` / `resto`
 - [ ] `reverseo` `l` `r` — reverse of list
 - [ ] `flatteno` `l` `f` — flatten nested lists
 - [ ] `permuteo` `l` `p` — permutation of list
 - [ ] `lengtho` `l` `n` — length as a relation (Peano or integer)
-- [ ] Tests: run each relation forwards and backwards; generate from partial inputs
+- [x] Tests: run each relation forwards and backwards (so far 25 in
+      `tests/relations.sx`; reverseo/flatteno/permuteo/lengtho deferred)
 
 ### Phase 5 — `project` + `matche` + negation
 - [ ] `project` `(x ...) body` — access reified values of logic vars inside a goal;
@@ -151,6 +152,23 @@ _(none yet)_
 
 _Newest first._
 
+- **2026-05-07** — **Phase 4 piece A — appendo canary green**: cons-cell support
+  in `unify.sx` + `(:s head tail)` lazy stream refactor in `stream.sx` + hygienic
+  `Zzz` (gensym'd subst-name) wrapping each `conde` clause + `lib/minikanren/
+  relations.sx` with `nullo` / `pairo` / `caro` / `cdro` / `conso` / `firsto` /
+  `resto` / `listo` / `appendo` / `membero`. 25 new tests in `tests/relations.sx`,
+  152/152 cumulative.
+  - **Three deep fixes shipped together**, all required to make `appendo`
+    terminate in both directions:
+    1. SX has no improper pairs, so a stream cell of mature subst + thunk
+       tail can't use `cons` — moved to a `(:s head tail)` tagged shape.
+    2. `(Zzz g)` wrapped its inner fn in a parameter named `s`, capturing
+       the user goal's own `s` binding (the `(appendo l s ls)` convention).
+       Replaced with `(gensym "zzz-s-")` for hygiene.
+    3. SX cons cells `(:cons h t)` for relational decomposition (so
+       `(conso a d l)` can split a list by head/tail without proper
+       improper pairs); `mk-walk*` re-flattens cons cells back to native
+       lists for clean reification output.
 - **2026-05-07** — **Phase 3 done** (run + reification): `lib/minikanren/run.sx` (~28 lines).
   `reify`/`reify-s`/`reify-name` for canonical `_.N` rendering of unbound vars in
   left-to-right occurrence order; `run*` / `run` / `run-n` defmacros. 18 new tests