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rose-ash/lib/minikanren/tests/cyclic-graph.sx
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Merge loops/minikanren into architecture: full miniKanren-on-SX library
Squash merge of 76 commits from loops/minikanren. Adds lib/minikanren/
— a complete miniKanren-on-SX implementation built on top of
lib/guest/match.sx, validating the lib-guest unify-and-match kit as
intended.

Modules (20 .sx files, ~1700 LOC):
  unify, stream, goals, fresh, conde, condu, conda, run, relations,
  peano, intarith, project, nafc, matche, fd, queens, defrel, clpfd,
  tabling

Phases 1–5 fully done (core miniKanren API, all classic relations,
matche, conda, project, nafc).

Phase 6 — native CLP(FD): domain primitives, fd-in / fd-eq / fd-neq /
fd-lt / fd-lte / fd-plus / fd-times / fd-distinct / fd-label, with
constraint reactivation iterating to fixed point. N-queens via FD:
4-queens 2 solutions, 5-queens 10 solutions (vs naive timeout past N=4).

Phase 7 — naive ground-arg tabling: table-1 / table-2 / table-3.
Fibonacci canary: tab-fib(25) = 75025 in seconds, naive fib(25) times
out at 60s. Ackermann via table-3: A(3,3) = 61.

71 test files, 644+ tests passing across the suite. Producer/consumer
SLG (cyclic patho, mutual recursion) deferred — research-grade work.

The lib-guest validation experiment is conclusive: lib/minikanren/
unify.sx adds ~50 lines of local logic (custom cfg, deep walk*, fresh
counter) over lib/guest/match.sx's ~100-line kit. The kit earns its
keep ~3× by line count.
2026-05-08 23:01:54 +00:00

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;; lib/minikanren/tests/cyclic-graph.sx — demonstrates the naive-patho
;; behaviour on a cyclic graph. Without Phase-7 tabling/SLG, the search
;; produces ever-longer paths revisiting the cycle. `run n` truncates;
;; `run*` would diverge.
(define cyclic-edges (list (list :a :b) (list :b :a) (list :b :c)))
(define cyclic-edgeo (fn (x y) (membero (list x y) cyclic-edges)))
(define
cyclic-patho
(fn
(x y path)
(conde
((cyclic-edgeo x y) (== path (list x y)))
((fresh (z mid) (cyclic-edgeo x z) (cyclic-patho z y mid) (conso x mid path))))))
;; --- direct edge ---
(mk-test
"cyclic-direct"
(run 1 q (cyclic-patho :a :b q))
(list (list :a :b)))
;; --- runs first 5 paths from a to b: bare edge, then increasing
;; numbers of cycle traversals (a->b->a->b, etc.) ---
(mk-test
"cyclic-enumerates-prefix-via-run-n"
(let
((paths (run 5 q (cyclic-patho :a :b q))))
(and
(= (len paths) 5)
(and
(every? (fn (p) (= (first p) :a)) paths)
(every? (fn (p) (= (last p) :b)) paths))))
true)
(mk-test
"cyclic-finds-c-via-cycle-or-direct"
(let
((paths (run 3 q (cyclic-patho :a :c q))))
(and
(>= (len paths) 1)
(some (fn (p) (= p (list :a :b :c))) paths)))
true)
(mk-tests-run!)