mk: tako + dropo — Peano-indexed prefix and suffix
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(tako n l prefix) — prefix is the first n elements of l.
(dropo n l suffix) — suffix is l after dropping the first n.

Both use a Peano natural for the count. Round-trip holds:
  (tako n l) ⊕ (dropo n l) = l   (verified by an end-to-end test)

9 new tests, 368/368 cumulative.
This commit is contained in:
2026-05-08 11:32:33 +00:00
parent 54a58c704e
commit 8c48a0be63
3 changed files with 111 additions and 0 deletions

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@@ -172,3 +172,19 @@
(conde
((fresh (x) (conso x (list) l) (== init (list))))
((fresh (a d d-init) (conso a d l) (conso a d-init init) (init-o d d-init))))))
(define
tako
(fn
(n l prefix)
(conde
((== n :z) (== prefix (list)))
((fresh (n-1 a d p-rest) (== n (list :s n-1)) (conso a d l) (conso a p-rest prefix) (tako n-1 d p-rest))))))
(define
dropo
(fn
(n l suffix)
(conde
((== n :z) (== suffix l))
((fresh (n-1 a d) (== n (list :s n-1)) (conso a d l) (dropo n-1 d suffix))))))