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rose-ash/lib/minikanren/unify.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

83 lines
2.6 KiB
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;; lib/minikanren/unify.sx — Phase 1 + cons-cell extension.
;;
;; miniKanren-on-SX, built on lib/guest/match.sx. The kit ships the heavy
;; lifting (walk-with, unify-with, occurs-with, extend, empty-subst,
;; mk-var/is-var?/var-name); this file supplies a miniKanren-shaped cfg
;; and a thin public API.
;;
;; Term shapes:
;; logic var : (:var NAME) — kit's mk-var
;; cons cell : (:cons HEAD TAIL) — for relational programming
;; (built by mk-cons; lets relations decompose lists by
;; head/tail without proper improper pairs in the host)
;; native list : SX list (a b c) — also unifies pair-style:
;; args = (head, tail) so (1 2 3) ≡ (:cons 1 (:cons 2 (:cons 3 ())))
;; atom : number / string / symbol / boolean / nil / ()
;;
;; Substitution: SX dict mapping VAR-NAME → term. Empty = (empty-subst).
(define mk-cons (fn (h t) (list :cons h t)))
(define
mk-cons-cell?
(fn (t) (and (list? t) (not (empty? t)) (= (first t) :cons))))
(define mk-cons-head (fn (t) (nth t 1)))
(define mk-cons-tail (fn (t) (nth t 2)))
(define
mk-list-pair?
(fn (t) (and (list? t) (not (empty? t)) (not (is-var? t)))))
(define mk-list-pair-head (fn (t) :pair))
(define
mk-list-pair-args
(fn
(t)
(cond
((mk-cons-cell? t) (list (mk-cons-head t) (mk-cons-tail t)))
(:else (list (first t) (rest t))))))
(define mk-cfg {:ctor-head mk-list-pair-head :var? is-var? :ctor? mk-list-pair? :occurs-check? false :var-name var-name :ctor-args mk-list-pair-args})
(define mk-cfg-occurs {:ctor-head mk-list-pair-head :var? is-var? :ctor? mk-list-pair? :occurs-check? true :var-name var-name :ctor-args mk-list-pair-args})
(define empty-s (empty-subst))
(define mk-fresh-counter 0)
(define
make-var
(fn
()
(begin
(set! mk-fresh-counter (+ mk-fresh-counter 1))
(mk-var (str "_." mk-fresh-counter)))))
(define mk-var? is-var?)
(define mk-walk (fn (t s) (walk-with mk-cfg t s)))
(define
mk-walk*
(fn
(t s)
(let
((w (mk-walk t s)))
(cond
((mk-cons-cell? w)
(let
((h (mk-walk* (mk-cons-head w) s))
(tl (mk-walk* (mk-cons-tail w) s)))
(cond
((empty? tl) (list h))
((mk-cons-cell? tl) tl)
((list? tl) (cons h tl))
(:else (mk-cons h tl)))))
((mk-list-pair? w) (map (fn (a) (mk-walk* a s)) w))
(:else w)))))
(define mk-unify (fn (u v s) (unify-with mk-cfg u v s)))
(define mk-unify-check (fn (u v s) (unify-with mk-cfg-occurs u v s)))