mk: eveno + oddo — Peano parity predicates
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eveno: zero, or (s (s m)) when m is even.
oddo:  one, or (s (s m)) when m is odd.

Both run forward (predicate test on a Peano number) and backward
(enumerate even / odd numbers). The two are mutually exclusive — no
number satisfies both.

12 new tests, 359/359 cumulative.
This commit is contained in:
2026-05-08 11:30:02 +00:00
parent ada405b37b
commit 54a58c704e
3 changed files with 78 additions and 0 deletions

View File

@@ -26,6 +26,22 @@
(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