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rose-ash/lib/minikanren/intarith.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

152 lines
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;; lib/minikanren/intarith.sx — fast integer arithmetic via project.
;;
;; These are ground-only escapes into host arithmetic. They run at native
;; speed (host ints) but require their arguments to walk to actual numbers
;; — they are not relational the way `pluso` (Peano) is. Use them when
;; the puzzle size makes Peano impractical.
;;
;; Naming: `-i` suffix marks "integer-only" goals.
(define
pluso-i
(fn
(a b c)
(project
(a b)
(if (and (number? a) (number? b)) (== c (+ a b)) fail))))
(define
minuso-i
(fn
(a b c)
(project
(a b)
(if (and (number? a) (number? b)) (== c (- a b)) fail))))
(define
*o-i
(fn
(a b c)
(project
(a b)
(if (and (number? a) (number? b)) (== c (* a b)) fail))))
(define
lto-i
(fn
(a b)
(project
(a b)
(if (and (number? a) (and (number? b) (< a b))) succeed fail))))
(define
lteo-i
(fn
(a b)
(project
(a b)
(if (and (number? a) (and (number? b) (<= a b))) succeed fail))))
(define
neqo-i
(fn
(a b)
(project
(a b)
(if (and (number? a) (and (number? b) (not (= a b)))) succeed fail))))
(define numbero (fn (x) (project (x) (if (number? x) succeed fail))))
(define stringo (fn (x) (project (x) (if (string? x) succeed fail))))
(define symbolo (fn (x) (project (x) (if (symbol? x) succeed fail))))
(define
even-i
(fn (n) (project (n) (if (and (number? n) (even? n)) succeed fail))))
(define
odd-i
(fn (n) (project (n) (if (and (number? n) (odd? n)) succeed fail))))
(define
sortedo
(fn
(l)
(conde
((nullo l))
((fresh (a) (== l (list a))))
((fresh (a b rest mid) (conso a mid l) (conso b rest mid) (lteo-i a b) (sortedo mid))))))
(define
mino
(fn
(l m)
(conde
((fresh (a) (== l (list a)) (== m a)))
((fresh (a d rest-min) (conso a d l) (mino d rest-min) (conde ((lteo-i a rest-min) (== m a)) ((lto-i rest-min a) (== m rest-min))))))))
(define
maxo
(fn
(l m)
(conde
((fresh (a) (== l (list a)) (== m a)))
((fresh (a d rest-max) (conso a d l) (maxo d rest-max) (conde ((lteo-i rest-max a) (== m a)) ((lto-i a rest-max) (== m rest-max))))))))
(define
sumo
(fn
(l total)
(conde
((nullo l) (== total 0))
((fresh (a d rest-sum) (conso a d l) (sumo d rest-sum) (pluso-i a rest-sum total))))))
(define
producto
(fn
(l total)
(conde
((nullo l) (== total 1))
((fresh (a d rest-prod) (conso a d l) (producto d rest-prod) (*o-i a rest-prod total))))))
(define
lengtho-i
(fn
(l n)
(conde
((nullo l) (== n 0))
((fresh (a d n-1) (conso a d l) (lengtho-i d n-1) (pluso-i 1 n-1 n))))))
(define
enumerate-from-i
(fn
(start l result)
(conde
((nullo l) (nullo result))
((fresh (a d r-rest start-prime) (conso a d l) (conso (list start a) r-rest result) (pluso-i 1 start start-prime) (enumerate-from-i start-prime d r-rest))))))
(define enumerate-i (fn (l result) (enumerate-from-i 0 l result)))
(define
counto
(fn
(x l n)
(conde
((nullo l) (== n 0))
((fresh (a d n-rest) (conso a d l) (conde ((== a x) (counto x d n-rest) (pluso-i 1 n-rest n)) ((nafc (== a x)) (counto x d n))))))))
(define
mk-arith-prog
(fn
(start step len)
(cond
((= len 0) (list))
(:else (cons start (mk-arith-prog (+ start step) step (- len 1)))))))
(define
arith-progo
(fn
(start step len result)
(project (start step len) (== result (mk-arith-prog start step len)))))