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examples.scm
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examples.scm
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(run 1 (q)
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 1 (q) (appendo (cons 'a (cons 'b '())) (cons 'c '()) q)))
q))
(run 1 (q)
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 1 (q) (appendo q (cons 'c '()) (cons 'a (cons 'b (cons 'c '()))))))
q))
(run 1 (q)
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 6 (q) (fresh x
(fresh y
(conj (== (cons x (cons y '())) q)
(appendo x y (cons 'a (cons 'b (cons 'c '())))))))))
q))
(run 1 (q)
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 7 (q) (fresh x
(fresh y
(conj (== (cons x (cons y '())) q)
(appendo x y (cons 'a (cons 'b (cons 'c '())))))))))
q))
(run 11 (q)
(fresh (res)
(=/= res '())
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 1 (q) (appendo ,q (cons 'c '()) (cons 'a (cons 'b (cons 'c '()))))))
res)))
(run 10 (q)
(fresh (res)
(=/= res '())
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 1 (q) (appendo ,q (cons 'c '()) (cons 'a (cons 'b (cons 'c '()))))))
res)))
;=>
;q
;(cons 'a q)
;(cons 'a q)
;(cons q (cons 'b '()))
;(cons q (cons 'b '()))
;(cons 'a (cons q '()))
;(cons 'a (cons q '()))
;(cons 'a (cons 'b q))
;(cons 'a (cons 'b q))
;(cons 'a (cons 'b '()))
;
;Note the duplicate answers.
(run 10 (q res)
(fresh ()
(=/= res '())
(eval-mko
`((begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
)
(run 1 (q) (appendo ,q (cons 'c '()) (cons 'a (cons 'b (cons 'c '()))))))
res)))
(q ((a b)))
((cons 'a q) ((b)))
((cons 'a q) ((b)))
((cons q (cons 'b '())) (a))
((cons q (cons 'b '())) (a))
((cons 'a (cons q '())) (b))
((cons 'a (cons q '())) (b))
((cons 'a (cons 'b q)) (()))
((cons 'a (cons 'b q)) (()))
((cons 'a (cons 'b '())) (0))
; can't use multiple appendo calls within the nested run to help synthesis, as each
; can only require that appendo succeed. To assert that appendo must fail, we need
; multiple run calls. because of how our evaluator is set up, that means multiple
; eval-mko calls.
(run 1 (q)
(fresh (code res1 single-ans1 res2 single-ans2)
(== code
`(begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
))
(== res2 `(,single-ans2))
(eval-mko
`(,code
(run 2 (q)
(appendo
'()
(cons 'c '())
(cons 'c '()))))
res2)
(== res1 `(,single-ans1))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'a (cons 'b '()))
(cons 'c '())
(cons 'a (cons 'b (cons 'c '()))))))
res1)))
(run 1 (q)
(fresh (code res1 single-ans1 res2 single-ans2)
(== code
`(begin
(define (appendo l s out)
(disj
(== s out)
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'a '())
q
(cons 'a '()))))
q)))
(run 2 (q)
(fresh (code res1 single-ans1 res2 single-ans2)
(== code
`(begin
(define (appendo l s out)
(disj
(conj
(== ,q '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo d s res)))))))
))
(eval-mko
`(,code
(run 2 (q)
(appendo
q
(cons 'c '())
(cons 'c '()))))
'(()))
(== res1 `(,single-ans1))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'a (cons 'b '()))
(cons 'c '())
(cons 'a (cons 'b (cons 'c '()))))))
res1)))
(run 1 (q)
;(== q '(d s res))
(fresh (code res1 single-ans1 res2 single-ans2)
(== code
`(begin
(define (appendo l s out)
(disj
(conj
(== l '())
(== s out))
(fresh a
(fresh d
(fresh res
(conj
(conj
(== (cons a d) l)
(== (cons a res) out))
(appendo . ,q)))))))
))
(eval-mko
`(,code
(run 2 (q)
(appendo
q
(cons 'c '())
(cons 'c '()))))
'(()))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'a (cons 'b '()))
(cons 'c '())
(cons 'b (cons 'b (cons 'c '()))))))
'())
(== res2 `(,single-ans2))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'b (cons 'c '()))
(cons 'd '())
(cons 'b (cons 'c (cons 'd '()))))))
res2)
(== res1 `(,single-ans1))
(eval-mko
`(,code
(run 2 (q)
(appendo
(cons 'a (cons 'b '()))
(cons 'c '())
(cons 'a (cons 'b (cons 'c '()))))))
res1)))