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paper-examples.rkt
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paper-examples.rkt
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#lang racket
(require "../faster-miniKanren/mk.rkt"
"./metaKanren.rkt")
(run* (x)
(eval-programo
`(run* (z)
(letrec-rel ((appendo (l1 l2 l)
(disj
(conj (== '() l1) (== l2 l))
(fresh (a)
(fresh (d)
(fresh (l3)
(conj (== (cons a d) l1)
(conj (== (cons a l3) l)
(delay (call-rel appendo d
l2
l3))))))))))
(call-rel appendo '(1 2) '(3 4) z)))
x))
(run* (x)
(eval-programo
`(run* (z)
(letrec-rel ((appendo (l1 l2 l)
(disj
(conj (== '() l1) (== l2 l))
(fresh (a)
(fresh (d)
(fresh (l3)
(,x (== (cons a d) l1)
(conj (== (cons a l3) l)
(delay (call-rel appendo d
l2
l3))))))))))
(call-rel appendo '(1 2) '(3 4) '(1 2 3 4))))
'((_.))))
; Gives disj in addition to conj
(run* (x)
(eval-programo
`(run ,(peano 1) (z)
(letrec-rel ((appendo (l1 l2 l)
(disj
(conj (== '() l1) (== l2 l))
(fresh (a)
(fresh (d)
(fresh (l3)
(,x (== (cons a d) l1)
(conj (== (cons a l3) l)
(delay (call-rel appendo d
l2
l3))))))))))
(call-rel appendo '(1 2) '(3 4) '(1 2 3 4))))
'((_.))))
(run 1 (x)
(eval-programo
`(run* (z)
(letrec-rel ((five (f)
(== 5 f)))
(call-rel five z)))
x))
; Don't get what we expect when all examples are internally ground
(run 1 (e1 e2)
(eval-programo
`(run* (z)
(letrec-rel ((five (f)
(== ,e1 ,e2)))
(call-rel five 5)))
'((_.))))
; Aha!
(run 1 (x)
(eval-programo
`(run* (z)
(letrec-rel ((five (f)
(== 7 7)))
(call-rel five 5)))
x))
(run 3 (e1 e2)
(eval-programo
`(run* (z)
(letrec-rel ((five (f)
(== ,e1 ,e2)))
(call-rel five 5)))
'((_.))))
(run 1 (e1 e2)
(eval-programo
`(run* (z)
(letrec-rel ((five (f)
(== ,e1 ,e2)))
(call-rel five z)))
'(5)))
; External grounding, extra examples to avoid overfitting, and with symbolo to
; fasten queries
(run 1 (x y w)
(symbolo x)
(symbolo y)
(symbolo w)
(eval-programo
`(run* (z)
(letrec-rel ((appendo (l1 l2 l)
(disj
(conj (== '() l1) (== l2 l))
(fresh (a)
(fresh (d)
(fresh (l3)
(conj (== (cons a d) l1)
(conj (== (cons a l3) l)
(delay (call-rel appendo ,x
,y
,w))))))))))
(conj (call-rel appendo '(cat dog) '() '(cat dog))
(conj (call-rel appendo '(apple) '(peach) '(apple peach))
(call-rel appendo '(1 2) '(3 4) z)))))
'((1 2 3 4))))
; Thanks for the example, @bollu!
(run* (count)
(eval-programo
`(run ,count (z)
(disj (== z 1)
(== z 2)))
'(1 2)))
(run* (count answers)
(eval-programo `(run ,count (z)
(disj (== z 1)
(== z 2)))
answers))