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(iterate-no rel n x result) holds when applying the 2-arg relation rel n times (Peano n) starting from x produces result. Base case: zero iterations means result equals x. Recursive case: rel x mid, then iterate-no n-1 from mid. Generalises common chains: succ iteration: (iterate-no succ-rel n :z q) -> n in Peano list growth: (iterate-no cons-rel n () q) -> n-element list 4 new tests, 426/426 cumulative.
39 lines
769 B
Plaintext
39 lines
769 B
Plaintext
;; lib/minikanren/tests/iterate-no.sx — iterated relation application.
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(define
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mk-nat
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(fn (n) (if (= n 0) :z (list :s (mk-nat (- n 1))))))
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(mk-test
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"iterate-no-zero"
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(run*
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q
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(iterate-no
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(fn (a b) (== b (list :wrap a)))
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(mk-nat 0)
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:seed q))
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(list :seed))
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(mk-test
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"iterate-no-three-wraps"
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(run*
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q
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(iterate-no (fn (a b) (== b (list :wrap a))) (mk-nat 3) :x q))
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(list (list :wrap (list :wrap (list :wrap :x)))))
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(mk-test
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"iterate-no-succ-three-times"
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(run*
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q
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(iterate-no (fn (a b) (== b (list :s a))) (mk-nat 3) :z q))
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(list (mk-nat 3)))
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(mk-test
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"iterate-no-with-list-cons"
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(run*
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q
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(iterate-no (fn (a b) (conso :a a b)) (mk-nat 4) (list) q))
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(list (list :a :a :a :a)))
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(mk-tests-run!)
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