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rose-ash/lib/minikanren/peano.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

52 lines
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;; lib/minikanren/peano.sx — Peano-encoded natural-number relations.
;;
;; Same encoding as `lengtho`: zero is the keyword `:z`; successors are
;; `(:s n)`. So 3 = `(:s (:s (:s :z)))`. `(:z)` and `(:s ...)` are normal
;; SX values that unify positionally — no special primitives needed.
;;
;; Peano arithmetic is the canonical miniKanren way to test addition /
;; multiplication / less-than relationally without an FD constraint store.
;; (CLP(FD) integers come in Phase 6.)
(define zeroo (fn (n) (== n :z)))
(define succ-of (fn (n m) (== m (list :s n))))
(define
pluso
(fn
(a b c)
(conde
((== a :z) (== b c))
((fresh (a-1 c-1) (== a (list :s a-1)) (== c (list :s c-1)) (pluso a-1 b c-1))))))
(define minuso (fn (a b c) (pluso b c a)))
(define lteo (fn (a b) (fresh (k) (pluso a k b))))
(define lto (fn (a b) (fresh (sa) (succ-of a sa) (lteo sa b))))
(define
eveno
(fn
(n)
(conde
((== n :z))
((fresh (m) (== n (list :s (list :s m))) (eveno m))))))
(define
oddo
(fn
(n)
(conde
((== n (list :s :z)))
((fresh (m) (== n (list :s (list :s m))) (oddo m))))))
(define
*o
(fn
(a b c)
(conde
((== a :z) (== c :z))
((fresh (a-1 ab-1) (== a (list :s a-1)) (*o a-1 b ab-1) (pluso b ab-1 c))))))