all kanren tests succeeds

parent 1a75179b
......@@ -5,8 +5,9 @@
any fails succeeds any-interleave if-some
all-interleave relation fact lift-to-relations
let-gls == query solve solution project project/no-check
predicate *equal? var? _ let-lv
extend-relation intersect-relation exists))
predicate *equal? var? _ let-lv reify partially-eval-sgl
extend-relation extend-relation-with-recur-limit
intersect-relation exists))
(define-syntax mk
......@@ -18,6 +19,10 @@
(lambda (p cc)
(<with-guile-log> (p cc)
(gl-name (a) (... ...))))))))))
(define partially-eval-sgl
(lambda x
(error "partialle eval sgl is not supported in guile-log-kanren")))
(mk all <and>)
(mk all! <and!>)
......@@ -36,21 +41,39 @@
(define sfail fail)
(define var? gp-var?)
(define reify (lambda (x)
(tr 'v. x)))
(define-syntax let-lv
(syntax-rules ()
((_ (id ...) body)
(let ((id (gp-var!)) ...) body))))
(define-syntax extend-relation-with-recur-limit
(syntax-rules ()
((_ limit ids rel ...)
(let ((*counter* (gp-var!)))
(lambda ids
(let ((gl (any (rel . ids) ...)))
(if (gp-var? *counter*)
(begin
(gp-set! *counter* 0)
gl)
(let ((cnt (gp-lookup *counter*)))
(if (<= limit cnt)
sfail
(begin
(gp-set! *counter* (+ cnt 1))
gl))))))))))
; The anonymous variable
(define-syntax _
(lambda (x)
(syntax-case x ()
((_ . l) #'(error "_ cannot be infunction possition"))
(_ #'(gp-var!)))))
;; This part is copied from upstream kanren.ss
;;The following is a direct translation of kanren.ss
(define-syntax id-memv??
(syntax-rules ()
((id-memv?? form (id ...) kt kf)
......
......@@ -250,20 +250,14 @@
(let ((ccc (lambda (Pr) (cc pr))))
(parse<> (cut fi pr ccc) (<and> a ...))))))
(define-syntax and!!
(syntax-rules ()
((_ (cut fi pr cc) ccc a)
(parse<> (cut fi pr (ccc cc)) a))
((_ (cut fi pr cc) ccc a as ...)
(let ((ccc (lambda (pr) (and!! (cut fi pr cc) ccc as ...))))
(parse<> (cut fi pr ccc) a)))))
(define-guile-log <and!!>
(syntax-rules ()
((_ w) (parse<> w <cc>))
((_ (cut fi pr cc) a ...)
(let ((ccc (lambda (cc) (lambda (Pr) (cc pr)))))
(and!! w ccc a ...)))))
((_ meta)
(parse<> meta <cc>))
((_ meta a ...)
(parse<> meta (<and> (<and!> a) ...)))))
;; this will try to make a success and if so reset the state and continue it's a
;; companion to <not>.
......@@ -298,7 +292,7 @@
(define-guile-log <peek-fail>
(syntax-rules ()
((_ (cut fi p cc) pp code ...)
(let (pp p)
(let ((pp p))
(parse<> (cut fi p cc) (<and> code ...))))))
......
......@@ -40,7 +40,7 @@
u-unify! u-scm u-unify-raw! u-cons u-dynwind umatch
gp-copy **um** gp-get-stack
push-setup que-setup
with-guarded-states with-guarded-globals))
with-guarded-states with-guarded-globals gp->scm))
(define gp-module-init #f)
(define gp? #f)
......
(use-modules (logic guile-log kanren))
(use-modules (logic guile-log))
(use-modules (logic guile-log umatch))
(use-modules (ice-9 pretty-print))
(define (time x) x)
(define-syntax test-check
(syntax-rules ()
......@@ -169,29 +172,9 @@
(solve 6 (y) (grandpa-sam y))
'(sal pat)))
; The solution that used cuts
; (define grandpa/father
; (relation/cut cut (grandad grandchild)
; (to-show grandad grandchild)
; (exists (parent)
; (all
; (father grandad parent)
; (father parent grandchild)
; cut))))
;
; (define grandpa/mother
; (relation (grandad grandchild)
; (to-show grandad grandchild)
; (exists (parent)
; (all
; (father grandad parent)
; (mother parent grandchild)))))
; Now we don't need it
(let*
((grandpa/father
((grandpa/father
(relation (grandad grandchild)
(to-show grandad grandchild)
(exists (parent)
......@@ -432,7 +415,45 @@
(test-check 'test-towers-of-hanoi-path
(solution (path) (towers-of-hanoi-path 3 path))
'((path.0 ((l m) (l r) (m r) (l m) (r l) (r m) (l m)))))
'((l m) (l r) (m r) (l m) (r l) (r m) (l m)))
; This is not supporeted technology, use guarded variables in stead
#;
(let
((parents-of-scouts
(extend-relation (a1 a2)
(fact () 'sam 'rob)
(fact () 'roz 'sue)
(fact () 'rob 'sal)))
(fathers-of-cubscouts
(extend-relation (a1 a2)
(fact () 'sam 'bob)
(fact () 'tom 'adam)
(fact () 'tad 'carl)))
)
(test-check 'test-partially-eval-sgl
(let-lv (p1 p2)
(let* ((parents-of-scouts-sgl
(parents-of-scouts p1 p2))
(cons@ (lambda (x y) (cons x y)))
(split1 (partially-eval-sgl parents-of-scouts-sgl
cons@
(lambda () '())))
(a1 (car split1))
(split2 (partially-eval-sgl (cdr split1)
cons@
(lambda () '())))
(a2 (car split2))
(split3 (partially-eval-sgl (cdr split2)
cons@
(lambda () '())))
(a3 (car split3)))
(list a1 a2 a3))))
'(((p1.0 sam) (p2.0 rob)) ((p1.0 roz) (p2.0 sue)) ((p1.0 rob) (p2.0 sal))))
;------------------------------------------------------------------------
......@@ -441,31 +462,31 @@
(solve 1 (x)
(let-lv (y)
(all!! (== x y) (== y 5))))
'(((x.0 5))))
'(5))
(test-check 'unification-of-free-vars-2
(solve 1 (x)
(let-lv (y)
(all!! (== y 5) (== x y))))
'(((x.0 5))))
'(5))
(test-check 'unification-of-free-vars-3
(solve 1 (x)
(let-lv (y)
(all!! (== y x) (== y 5))))
'(((x.0 5))))
'(5))
(test-check 'unification-of-free-vars-3
(solve 1 (x)
(let-lv (y)
(all!! (== x y) (== y 5) (== x y))))
'(((x.0 5))))
'(5))
(test-check 'unification-of-free-vars-4
(solve 1 (x)
(exists (y)
(all! (== y x) (== y 5) (== x y))))
'(((x.0 5))))
'(5))
(letrec
......@@ -482,8 +503,9 @@
(test-check 'test-fun-concat
(solve 1 (q)
(== q (concat '(a b c) '(u v))))
'(((q.0 (a b c u v)))))
)
'((a b c u v))))
; Now the same with the relation
(letrec
......@@ -493,200 +515,58 @@
(relation (x xs (once ys) zs)
(to-show `(,x . ,xs) ys `(,x . ,zs))
(concat xs ys zs)))))
(test-check 'test-concat
(time
(and
(test-check 'test-concat
(time
(and
(equal?
(solve 6 (q) (concat '(a b c) '(u v) q))
'(((q.0 (a b c u v)))))
(solve 6 (q) (concat '(a b c) '(u v) q))
'((a b c u v)))
(equal?
(solve 6 (q) (concat '(a b c) q '(a b c u v)))
'(((q.0 (u v)))))
(solve 6 (q) (concat '(a b c) q '(a b c u v)))
'((u v)))
(equal?
(solve 6 (q) (concat q '(u v) '(a b c u v)))
'(((q.0 (a b c)))))
'((a b c)))
(equal?
(solve 6 (q r) (concat q r '(a b c u v)))
'(((q.0 ()) (r.0 (a b c u v)))
((q.0 (a)) (r.0 (b c u v)))
((q.0 (a b)) (r.0 (c u v)))
((q.0 (a b c)) (r.0 (u v)))
((q.0 (a b c u)) (r.0 (v)))
((q.0 (a b c u v)) (r.0 ()))))
(solve 6 (q r) (concat q r '(a b c u v)))
'((() (a b c u v))
((a) (b c u v))
((a b) (c u v))
((a b c) (u v))
((a b c u) (v))
((a b c u v) ())))
(equal?
(solve 6 (q r s) (concat q r s))
'(((q.0 ()) (r.0 _.0) (s.0 _.0))
((q.0 (_.0)) (r.0 _.1) (s.0 (_.0 . _.1)))
((q.0 (_.0 _.1)) (r.0 _.2) (s.0 (_.0 _.1 . _.2)))
((q.0 (_.0 _.1 _.2)) (r.0 _.3) (s.0 (_.0 _.1 _.2 . _.3)))
((q.0 (_.0 _.1 _.2 _.3)) (r.0 _.4) (s.0 (_.0 _.1 _.2 _.3 . _.4)))
((q.0 (_.0 _.1 _.2 _.3 _.4)) (r.0 _.5)
(s.0 (_.0 _.1 _.2 _.3 _.4 . _.5))))
)
'(equal?
'((() v.0 v.0)
((v.0) v.1 (v.0 . v.1))
((v.0 v.1) v.2 (v.0 v.1 . v.2))
((v.0 v.1 v.2) v.3 (v.0 v.1 v.2 . v.3))
((v.0 v.1 v.2 v.3) v.4 (v.0 v.1 v.2 v.3 . v.4))
((v.0 v.1 v.2 v.3 v.4) v.5
(v.0 v.1 v.2 v.3 v.4 . v.5))))
(equal?
(solve 6 (q r) (concat q '(u v) `(a b c . ,r)))
'(((q.0 (a b c)) (r.0 (u v)))
((q.0 (a b c _.0)) (r.0 (_.0 u v)))
((q.0 (a b c _.0 _.1)) (r.0 (_.0 _.1 u v)))
((q.0 (a b c _.0 _.1 _.2)) (r.0 (_.0 _.1 _.2 u v)))
((q.0 (a b c _.0 _.1 _.2 _.3)) (r.0 (_.0 _.1 _.2 _.3 u v)))
((q.0 (a b c _.0 _.1 _.2 _.3 _.4))
(r.0 (_.0 _.1 _.2 _.3 _.4 u v)))))
'(((a b c) (u v))
((a b c v.0) (v.0 u v))
((a b c v.0 v.1) (v.0 v.1 u v))
((a b c v.0 v.1 v.2) (v.0 v.1 v.2 u v))
((a b c v.0 v.1 v.2 v.3) (v.0 v.1 v.2 v.3 u v))
((a b c v.0 v.1 v.2 v.3 v.4)
(v.0 v.1 v.2 v.3 v.4 u v))))
(equal?
(solve 6 (q) (concat q '() q))
'(((q.0 ()))
((q.0 (_.0)))
((q.0 (_.0 _.1)))
((q.0 (_.0 _.1 _.2)))
((q.0 (_.0 _.1 _.2 _.3)))
((q.0 (_.0 _.1 _.2 _.3 _.4)))))
))
#t)
)
; Using the properties of the unifier to do the proper garbage
; collection of logical vars
; (test-check 'lv-elim-1
; (reify
; (let-lv (x z dummy)
; (@
; (exists (y)
; (== `(,x ,z ,y) `(5 9 ,x)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((y.0 . 5) (z.0 . 9) (x.0 . 5) (dummy.0 . dummy)))
; ;'((z.0 . 9) (x.0 . 5) (dummy.0 . dummy)))
; (test-check 'lv-elim-2
; (reify
; (let-lv (x dummy)
; (@
; (exists (y)
; (== `(,x ,y) `((5 ,y) ,7)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((y.0 . 7) (x.0 5 y.0) (dummy.0 . dummy)))
; ;'((a*.0 . 7) (x.0 5 a*.0) (dummy.0 . dummy)))
; ; verifying corollary 2 of proposition 10
; (test-check 'lv-elim-3
; (reify
; (let-lv (x v dummy)
; (@
; (exists (y)
; (== x `(a b c ,v d)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((x.0 a b c v.0 d) (dummy.0 . dummy)))
; ;'((a*.0 . v.0) (x.0 a b c a*.0 d) (dummy.0 . dummy)))
; ; pruning several variables sequentially and in parallel
; (test-check 'lv-elim-4-1
; (reify
; (let-lv (x v b dummy)
; (@
; (let-lv (y)
; (== `(,b ,x ,y) `(,x ,y 1)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((y.0 . 1) (x.0 . y.0) (b.0 . x.0) (dummy.0 . dummy)))
; ; (test-check 'lv-elim-4-2
; ; (concretize
; ; (let-lv (v b dummy)
; ; (@
; ; (exists (x)
; ; (exists (y)
; ; (== `(,b ,x ,y) `(,x ,y 1))))
; ; (lambda@ (fk subst) subst)
; ; initial-fk
; ; (unit-subst dummy 'dummy))))
; ; '((b.0 . 1) (dummy.0 . dummy)))
; ; (test-check 'lv-elim-4-3
; ; (concretize
; ; (let-lv (v b dummy)
; ; (@
; ; (exists (y)
; ; (exists (x)
; ; (== `(,b ,x ,y) `(,x ,y 1))))
; ; (lambda@ (fk subst) subst)
; ; initial-fk
; ; (unit-subst dummy 'dummy))))
; ; '((b.0 . 1) (dummy.0 . dummy)))
; (test-check 'lv-elim-4-4
; (reify
; (let-lv (v b dummy)
; (@
; (exists (x y)
; (== `(,b ,x ,y) `(,x ,y 1)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((y.0 . 1) (x.0 . y.0) (b.0 . x.0) (dummy.0 . dummy)))
; ;'((b.0 . 1) (dummy.0 . dummy)))
; ; pruning several variables sequentially and in parallel
; ; for indirect (cyclic) dependency
; (test-check 'lv-elim-5-1
; (reify
; (let-lv (x v b dummy)
; (@
; (let-lv (y)
; (== `(,b ,y ,x) `(,x (1 ,x) ,y)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((x.0 1 x.0) (y.0 1 x.0) (b.0 . x.0) (dummy.0 . dummy)))
; ;'((x.0 1 a*.0) (a*.0 . x.0) (y.0 1 a*.0) (b.0 . x.0) (dummy.0 . dummy)))
; ; (test-check 'lv-elim-5-2
; ; (concretize
; ; (let-lv (v b dummy)
; ; (@
; ; (exists (x)
; ; (exists (y)
; ; (== `(,b ,y ,x) `(,x (1 ,x) ,y))))
; ; (lambda@ (fk subst) subst)
; ; initial-fk
; ; (unit-subst dummy 'dummy))))
; ; '((a*.0 1 a*.0) (b.0 1 a*.0) (dummy.0 . dummy)))
; ; (test-check 'lv-elim-5-3
; ; (concretize
; ; (let-lv (v b dummy)
; ; (@
; ; (exists (y)
; ; (exists (x)
; ; (== `(,b ,y ,x) `(,x (1 ,x) ,y))))
; ; (lambda@ (fk subst) subst)
; ; initial-fk
; ; (unit-subst dummy 'dummy))))
; ; '((a*.0 1 a*.0) (b.0 1 a*.0) (dummy.0 . dummy)))
; (test-check 'lv-elim-5-4
; (reify
; (let-lv (v b dummy)
; (@
; (exists (x y)
; (== `(,b ,y ,x) `(,x (1 ,x) ,y)))
; (lambda@ (fk subst) subst)
; initial-fk
; (unit-subst dummy 'dummy))))
; '((x.0 1 x.0) (y.0 1 x.0) (b.0 . x.0) (dummy.0 . dummy)))
; ;'((a*.0 1 a*.0) (b.0 1 a*.0) (dummy.0 . dummy)))
; ; We should only be concerned about a direct dependency:
; ; ((x . y) (y . (1 t)) (t . x) (a . x))
; ; pruning x and y in sequence or in parallel gives the same result:
; ; ((t . (1 t)) (a . (1 t)))
'(()
(v.0)
(v.0 v.1)
(v.0 v.1 v.2)
(v.0 v.1 v.2 v.3)
(v.0 v.1 v.2 v.3 v.4)))))
#t))
; Extending relations in truly mathematical sense.
; First, why do we need this.
......@@ -713,24 +593,23 @@
(== t1 `(s ,x))
(== t2 `(s ,y))
(Rinf x y)))))
)
)
(cout nl "R1:" nl)
(format #t "~% R1:~%")
(pretty-print (solve 10 (x y) (R1 x y)))
(cout nl "R2:" nl)
(format #t "~% R2:~%")
(pretty-print (solve 10 (x y) (R2 x y)))
(cout nl "R1+R2:" nl)
(format #t "~% R1 + R2:~%")
(pretty-print
(solve 10 (x y)
((extend-relation (a1 a2) R1 R2) x y)))
(cout nl "Rinf:" nl)
(solve 10 (x y)
((extend-relation (a1 a2) R1 R2) x y)))
(format #t "~% Rinf:~%")
(time (pretty-print (solve 5 (x y) (Rinf x y))))
(cout nl "Rinf+R1: Rinf starves R1:" nl)
(format #t "~%Rinf+R1: Rinf starves R1:~%")
(time
(pretty-print
(solve 5 (x y)
((extend-relation (a1 a2) Rinf R1) x y))))
(pretty-print
(solve 5 (x y)
((extend-relation (a1 a2) Rinf R1) x y))))
; Solving the starvation problem: extend R1 and R2 so that they
; are interleaved
......@@ -747,49 +626,30 @@
(time
(solve 7 (x y)
(any-interleave (Rinf x y) (R1 x y))))
'(((x.0 z) (y.0 z))
((x.0 x1) (y.0 y1))
((x.0 (s z)) (y.0 (s z)))
((x.0 x2) (y.0 y2))
((x.0 (s (s z))) (y.0 (s (s z))))
((x.0 (s (s (s z)))) (y.0 (s (s (s z)))))
((x.0 (s (s (s (s z))))) (y.0 (s (s (s (s z)))))))
)
'((z z) (x1 y1) ((s z) (s z)) (x2 y2) ((s (s z)) (s (s z)))
((s (s (s z))) (s (s (s z)))) ((s (s (s (s z)))) (s (s (s (s z)))))))
(test-check "R1+Rinf"
(time
(solve 7 (x y)
(any-interleave (R1 x y) (Rinf x y))))
'(((x.0 x1) (y.0 y1))
((x.0 z) (y.0 z))
((x.0 x2) (y.0 y2))
((x.0 (s z)) (y.0 (s z)))
((x.0 (s (s z))) (y.0 (s (s z))))
((x.0 (s (s (s z)))) (y.0 (s (s (s z)))))
((x.0 (s (s (s (s z))))) (y.0 (s (s (s (s z)))))))
)
'((x1 y1) (z z) (x2 y2) ((s z) (s z)) ((s (s z)) (s (s z)))
((s (s (s z))) (s (s (s z)))) ((s (s (s (s z)))) (s (s (s (s z)))))))
(test-check "R2+R1"
(solve 7 (x y)
(any-interleave (R2 x y) (R1 x y)))
'(((x.0 x1) (y.0 y1))
((x.0 x1) (y.0 y1))
((x.0 x3) (y.0 y3))
((x.0 x2) (y.0 y2)))
)
'((x1 y1) (x1 y1) (x3 y3) (x2 y2)))
(test-check "R1+fact3"
(solve 7 (x y)
(any-interleave (R1 x y) (fact3 x y)))
'(((x.0 x1) (y.0 y1)) ((x.0 x3) (y.0 y3)) ((x.0 x2) (y.0 y2)))
)
'((x1 y1) (x3 y3) (x2 y2)))
(test-check "fact3+R1"
(solve 7 (x y)
(any-interleave (fact3 x y) (R1 x y)))
'(((x.0 x3) (y.0 y3)) ((x.0 x1) (y.0 y1)) ((x.0 x2) (y.0 y2)))
)
'((x3 y3) (x1 y1) (x2 y2)))
; testing all-interleave
(test-check 'all-interleave-1
......@@ -798,45 +658,36 @@
(any (== x 1) (== x 2))
(any (== y 3) (== y 4))
(any (== z 5) (== z 6) (== z 7))))
'(((x.0 1) (y.0 3) (z.0 5))
((x.0 2) (y.0 3) (z.0 5))
((x.0 1) (y.0 4) (z.0 5))
((x.0 2) (y.0 4) (z.0 5))
((x.0 1) (y.0 3) (z.0 6))
((x.0 2) (y.0 3) (z.0 6))
((x.0 1) (y.0 4) (z.0 6))
((x.0 2) (y.0 4) (z.0 6))
((x.0 1) (y.0 3) (z.0 7))
((x.0 2) (y.0 3) (z.0 7))
((x.0 1) (y.0 4) (z.0 7))
((x.0 2) (y.0 4) (z.0 7)))
)
'((1 3 5) (2 3 5) (1 4 5) (1 3 6) (2 4 5) (2 3 6)
(1 4 6) (1 3 7) (2 4 6) (2 3 7) (1 4 7) (2 4 7)))
(test-check "R1 * Rinf: clearly starvation"
(solve 5 (x y u v)
(all (R1 x y) (Rinf u v)))
; indeed, only the first choice of R1 is apparent
'(((x.0 x1) (y.0 y1) (u.0 z) (v.0 z))
((x.0 x1) (y.0 y1) (u.0 (s z)) (v.0 (s z)))
((x.0 x1) (y.0 y1) (u.0 (s (s z))) (v.0 (s (s z))))
((x.0 x1) (y.0 y1) (u.0 (s (s (s z)))) (v.0 (s (s (s z)))))
((x.0 x1) (y.0 y1) (u.0 (s (s (s (s z))))) (v.0 (s (s (s (s z)))))))
)
'((x1 y1 z z)
(x1 y1 (s z) (s z))
(x1 y1 (s (s z)) (s (s z)))
(x1 y1 (s (s (s z))) (s (s (s z))))
(x1 y1 (s (s (s (s z)))) (s (s (s (s z)))))))
(test-check "R1 * Rinf: interleaving"
(solve 5 (x y u v)
(all-interleave (R1 x y) (Rinf u v)))
; both choices of R1 are apparent
'(((x.0 x1) (y.0 y1) (u.0 z) (v.0 z))
((x.0 x2) (y.0 y2) (u.0 z) (v.0 z))
((x.0 x1) (y.0 y1) (u.0 (s z)) (v.0 (s z)))
((x.0 x2) (y.0 y2) (u.0 (s z)) (v.0 (s z)))
((x.0 x1) (y.0 y1) (u.0 (s (s z))) (v.0 (s (s z)))))
)
; both choices of R1 are apparent
'((x1 y1 z z)
(x2 y2 z z)
(x1 y1 (s z) (s z))
(x2 y2 (s z) (s z))
(x1 y1 (s (s z)) (s (s z)))))
;; Test for nonoverlapping.
#;
(cout nl "any-union" nl)
#;
(test-check "R1+R2"
(solve 10 (x y)
(any-union (R1 x y) (R2 x y)))
......@@ -844,19 +695,20 @@
((x.0 x2) (y.0 y2))
((x.0 x3) (y.0 y3))))
#;
(test-check "R2+R1"
(solve 10 (x y)
(any-union (R2 x y) (R1 x y)))
'(((x.0 x1) (y.0 y1))
((x.0 x3) (y.0 y3))
((x.0 x2) (y.0 y2))))
#;
(test-check "R1+R1"
(solve 10 (x y)
(any-union (R1 x y) (R1 x y)))
'(((x.0 x1) (y.0 y1))
((x.0 x2) (y.0 y2))))
#;
(test-check "Rinf+R1"
(solve 7 (x y)
(any-union (Rinf x y) (R1 x y)))
......@@ -867,7 +719,7 @@
((x.0 (s (s z))) (y.0 (s (s z))))
((x.0 (s (s (s z)))) (y.0 (s (s (s z)))))
((x.0 (s (s (s (s z))))) (y.0 (s (s (s (s z))))))))
#;
(test-check "R1+RInf"
(solve 7 (x y)
(any-union (R1 x y) (Rinf x y)))
......@@ -897,15 +749,13 @@
)
(test-check "Rinf2"
(solve 5 (x y) (Rinf2 x y))
'(((x.0 z) (y.0 z))
((x.0 (s (s z))) (y.0 (s (s z))))
((x.0 (s (s (s (s z))))) (y.0 (s (s (s (s z))))))
((x.0 (s (s (s (s (s (s z)))))))
(y.0 (s (s (s (s (s (s z))))))))
((x.0 (s (s (s (s (s (s (s (s z)))))))))
(y.0 (s (s (s (s (s (s (s (s z))))))))))))
'((z z)
((s (s z)) (s (s z)))
((s (s (s (s z)))) (s (s (s (s z)))))
((s (s (s (s (s (s z)))))) (s (s (s (s (s (s z)))))))
((s (s (s (s (s (s (s (s z)))))))) (s (s (s (s (s (s (s (s z)))))))))))
(test-check "Rinf+Rinf2"
#;(test-check "Rinf+Rinf2"
(solve 9 (x y)
(any-union (Rinf x y) (Rinf2 x y)))
'(((x.0 z) (y.0 z))
......@@ -921,7 +771,7 @@
((x.0 (s (s (s (s (s (s (s (s (s (s z)))))))))))
(y.0 (s (s (s (s (s (s (s (s (s (s z))))))))))))))
(test-check "Rinf2+Rinf"
#;(test-check "Rinf2+Rinf"
(solve 9 (x y)
(any-union (Rinf2 x y) (Rinf x y)))
'(((x.0 z) (y.0 z))
......@@ -939,7 +789,9 @@
)))
(cout nl "Append with limited depth" nl)
(format #t "Append with limited depth~%")
; In Prolog, we normally write:
; append([],L,L).
; append([X|L1],L2,[X|L3]) :- append(L1,L2,L3).
......@@ -964,9 +816,9 @@
; Note (solve 100 ...)
; Here 100 is just a large number: we want to print all solutions
(cout nl "Extend: clause1 first: "
(solve 100 (a b c) (extend-rel a b c))
nl))
(format #t "~%Extend: clause1 first: ~a~%"
(solve 100 (a b c) (extend-rel a b c))))
(letrec
((extend-clause-1
......@@ -982,8 +834,8 @@
extend-clause-2
extend-clause-1)))
(cout nl "Extend: clause2 first. In Prolog, it would diverge!: "
(solve 100 (a b c) (extend-rel a b c)) nl))
(format #t "~%Extend: clause2 first. In Prolog, it would diverge!: ~a~%"
(solve 100 (a b c) (extend-rel a b c))))
(letrec
......@@ -1007,13 +859,10 @@
(test-check "Addition"
(solve 20 (x y)
(+-as-relation x y '(succ (succ (succ (succ (succ zero)))))))
'(((x.0 zero) (y.0 (succ (succ (succ (succ (succ zero)))))))
((x.0 (succ zero)) (y.0 (succ (succ (succ (succ zero))))))
((x.0 (succ (succ zero))) (y.0 (succ (succ (succ zero)))))
((x.0 (succ (succ (succ zero)))) (y.0 (succ (succ zero))))
((x.0 (succ (succ (succ (succ zero))))) (y.0 (succ zero)))
((x.0 (succ (succ (succ (succ (succ zero)))))) (y.0 zero))))
(newline)
)
|#
'((zero (succ (succ (succ (succ (succ zero))))))
((succ zero) (succ (succ (succ (succ zero)))))
((succ (succ zero)) (succ (succ (succ zero))))
((succ (succ (succ zero))) (succ (succ zero)))
((succ (succ (succ (succ zero)))) (succ zero))
((succ (succ (succ (succ (succ zero))))) zero))))
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