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rose-ash/lib/minikanren/tests/clpfd-neq.sx
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mk: phase 6D — fd-neq with propagation + constraint reactivation
fd-neq adds a closure to the constraint store and runs it once on
post. After every label binding, fd-fire-store re-runs all stored
constraints — when one side of a fd-neq later becomes ground, the
domain of the other side has the value removed.

Propagator semantics:
  (number, number)  -> equal? fail : ok
  (number, var)     -> remove number from var's domain
  (var, number)     -> symmetric
  (var, var)        -> defer (re-fires after each label step)

Pigeonhole-fails test confirms the constraint flow ends correctly:
3 vars all-pairwise-distinct over a 2-element domain has no solutions.

7 new tests, 593/593 cumulative.
2026-05-08 14:24:28 +00:00

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;; lib/minikanren/tests/clpfd-neq.sx — fd-neq with constraint propagation.
;; --- ground / domain interaction ---
(mk-test
"fd-neq-ground-distinct"
(run*
q
(fresh
(x)
(fd-neq x 5)
(fd-in x (list 4 5 6))
(fd-label (list x))
(== q x)))
(list 4 6))
(mk-test
"fd-neq-ground-equal-fails"
(run* q (fresh (x) (== x 5) (fd-neq x 5) (== q x)))
(list))
(mk-test
"fd-neq-symmetric"
(run*
q
(fresh
(x)
(fd-neq 7 x)
(fd-in x (list 5 6 7 8 9))
(fd-label (list x))
(== q x)))
(list 5 6 8 9))
;; --- two vars with overlapping domains ---
(mk-test
"fd-neq-pair-from-3"
(let
((res (run* q (fresh (x y) (fd-in x (list 1 2 3)) (fd-in y (list 1 2 3)) (fd-neq x y) (fd-label (list x y)) (== q (list x y))))))
(= (len res) 6))
true)
(mk-test
"fd-all-distinct-3-of-3"
(let
((res (run* q (fresh (a b c) (fd-in a (list 1 2 3)) (fd-in b (list 1 2 3)) (fd-in c (list 1 2 3)) (fd-neq a b) (fd-neq a c) (fd-neq b c) (fd-label (list a b c)) (== q (list a b c))))))
(= (len res) 6))
true)
(mk-test
"fd-pigeonhole-fails"
(run*
q
(fresh
(a b c)
(fd-in a (list 1 2))
(fd-in b (list 1 2))
(fd-in c (list 1 2))
(fd-neq a b)
(fd-neq a c)
(fd-neq b c)
(fd-label (list a b c))
(== q (list a b c))))
(list))
;; --- propagation when one side becomes ground ---
(mk-test
"fd-neq-propagates-after-ground"
(run*
q
(fresh
(x y)
(fd-in x (list 1 2 3))
(fd-in y (list 1 2 3))
(fd-neq x y)
(== x 2)
(fd-label (list y))
(== q y)))
(list 1 3))
(mk-tests-run!)