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related-fact.rkt
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related-fact.rkt
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#lang racket
(require (only-in plai define-type test print-only-errors))
(require "definitions.rkt")
(require "simplify-fact.rkt")
(define (to-nnf-helper fact inside-not?)
(match fact
[(andf l r)
(if inside-not?
(orf (to-nnf-helper l #t) (to-nnf-helper r #t))
(andf (to-nnf-helper l #f) (to-nnf-helper r #f)))]
[(orf l r) (if inside-not?
(andf (to-nnf-helper l #t) (to-nnf-helper r #t))
(orf (to-nnf-helper l #f) (to-nnf-helper r #f)))]
[(notf f) (to-nnf-helper f (not inside-not?))]
[_ (if inside-not? (notf fact) fact)]))
(define (to-nnf fact) (to-nnf-helper fact #f))
(module+ test
(print-only-errors)
(test (to-nnf (notf (andf
(predf 'positive? 'arg0 '#hash())
(predf 'exact-integer? 'arg0 '#hash()))))
(orf (notf (predf 'positive? 'arg0 '#hash()))
(notf (predf 'exact-integer? 'arg0 '#hash()))))
(test (to-nnf (andf (notf (andf (predf 'A 'arg0 '#hash())
(notf (predf 'B 'arg0 '#hash()))))
(predf 'C 'arg0 '#hash())))
(andf
(orf (notf (predf 'A 'arg0 '#hash()))
(predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(test (to-nnf (andf (notf (orf (predf 'A 'arg0 '#hash())
(notf (predf 'B 'arg0 '#hash()))))
(predf 'C 'arg0 '#hash())))
(andf
(andf (notf (predf 'A 'arg0 '#hash())) (predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(test (to-nnf (orf (notf (andf (predf 'A 'arg0 '#hash())
(notf (predf 'B 'arg0 '#hash()))))
(predf 'C 'arg0 '#hash())))
(orf
(orf (notf (predf 'A 'arg0 '#hash())) (predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(test (to-nnf (notf (andf (orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash()))
(notf (andf (notf (predf 'Y 'arg0 '#hash()))
(predf 'Z 'arg0 '#hash()))))))
(orf
(andf
(orf
(notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))
(notf (predf 'C 'arg0 '#hash())))
(andf (notf (predf 'Y 'arg0 '#hash()))
(predf 'Z 'arg0 '#hash()))))
(test (to-nnf (orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(andf (predf 'Y 'arg0 '#hash())
(predf 'Z 'arg0 '#hash()))))
(orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(andf (predf 'Y 'arg0 '#hash())
(predf 'Z 'arg0 '#hash()))))
(test (to-nnf (orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(andf (iff (predf 'pred1? 'arg0 '#hash())
(predf 'pred2? 'arg0 '#hash())
(notf (predf 'pred3? 'arg0 '#hash())))
(predf 'Z 'arg0 '#hash()))))
(orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(andf (iff (predf 'pred1? 'arg0 '#hash())
(predf 'pred2? 'arg0 '#hash())
(notf (predf 'pred3? 'arg0 '#hash())))
(predf 'Z 'arg0 '#hash()))))
)
(define (nnf->cnf fact)
(match fact
[(andf l r) (andf (nnf->cnf l) (nnf->cnf r))]
[(orf (andf a-l a-r) r) (define r* (nnf->cnf r))
(define a-l* (nnf->cnf a-l))
(define a-r* (nnf->cnf a-r))
(andf (nnf->cnf (orf a-l* r*)) (nnf->cnf (orf a-r* r*)))]
[(orf l (andf a-l a-r)) (nnf->cnf (orf (andf a-l a-r) l))]
[_ fact]))
(module+ test
(test (nnf->cnf (orf (notf (predf 'positive? 'arg0 '#hash()))
(notf (predf 'exact-integer? 'arg1 '#hash()))))
(orf (notf (predf 'positive? 'arg0 '#hash()))
(notf (predf 'exact-integer? 'arg1 '#hash()))))
(test (nnf->cnf (andf
(orf (notf (predf 'A 'arg0 '#hash()))
(predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(andf
(orf (notf (predf 'A 'arg0 '#hash())) (predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(test (nnf->cnf (orf
(orf (notf (predf 'A 'arg0 '#hash())) (predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(orf
(orf (notf (predf 'A 'arg0 '#hash())) (predf 'B 'arg0 '#hash()))
(predf 'C 'arg0 '#hash())))
(test (nnf->cnf (orf (andf (predf 'A 'arg0 '#hash())
(predf 'B 'arg0 '#hash()))
(andf (predf 'Y 'arg0 '#hash())
(predf 'Z 'arg0 '#hash()))))
(andf
(andf (orf (predf 'Y 'arg0 '#hash()) (predf 'A 'arg0 '#hash()))
(orf (predf 'Z 'arg0 '#hash()) (predf 'A 'arg0 '#hash())))
(andf (orf (predf 'Y 'arg0 '#hash()) (predf 'B 'arg0 '#hash()))
(orf (predf 'Z 'arg0 '#hash()) (predf 'B 'arg0 '#hash())))))
(test (nnf->cnf
(orf
(andf
(orf
(notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))
(notf (predf 'C 'arg0 '#hash())))
(andf (notf (predf 'Y 'arg0 '#hash()))
(predf 'Z 'arg1 '#hash()))))
(andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(notf (predf 'C 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))))
)
;(define-type CNF-fact
; [fact (or/c CNF-and-Facts? CNF-or-Facts literal-facts)])
;(define-type CNF-and-Facts
; [cnf-andf (c CNF-fact?)
; (i CNF-fact?)] ; maybe tweak this?
;(define-type CNF-or-Facts
; [cnf-orf (c (or/c cnf-ors? literal-facts?))
; (i (or/c cnf-ors? literal-facts?))]
;
;
;(define-type literal-facts
; [anyf]
; [nonef]
; [N/Af]
; [notf (i literal-facts?)]
; [complexf (program BasicExpand?)
; (scope (hash/c symbol? VariableContent?))]
; [predf (pred symbol?)
; (name symbol?)
; (scope (hash/c symbol? VariableContent?))]
; [iff (tst Facts?)
; (thn Facts?)
; (els Facts?)])
(define (check-purely-on-arg-fact fact argument)
(match fact
[(orf l r) (and (check-purely-on-arg-fact l argument) (check-purely-on-arg-fact r argument)) ]
[(andf l r) (and (check-purely-on-arg-fact l argument) (check-purely-on-arg-fact r argument))]
[(predf pred arg scope) #:when (equal? arg argument) #t]
[(complex-predf pred arg scope innerApp) #:when (equal? arg argument) #t]
[(anyf) #t]
[(nonef) #t]
[(notf i) (check-purely-on-arg-fact i argument)]
[(iff tst thn els) (and (check-purely-on-arg-fact tst argument)
(check-purely-on-arg-fact thn argument)
(check-purely-on-arg-fact els argument))]
[_ #f]))
(define (check-purely-on-arg-literal fact argument)
(match fact
[(predf pred arg scope) #:when (equal? arg argument) #t]
[(complex-predf pred arg scope innerApp) #:when (equal? arg argument) #t]
[(anyf) #t]
[(nonef) #t]
[(notf i) (check-purely-on-arg-literal i argument)]
[(iff tst thn els) (and (check-purely-on-arg-fact tst argument)
(check-purely-on-arg-fact thn argument)
(check-purely-on-arg-fact els argument))];both have error (potentially contractable)
[_ #f]))
(define (check-purely-on-arg-or fact argument)
(define (inner-pure? inner arg)
(if (orf? inner)
(check-purely-on-arg-or inner arg)
(check-purely-on-arg-literal inner arg)))
(match fact
[(orf l r) (and (inner-pure? l argument) (inner-pure? r argument))]))
(define (rele-and-descender fact argument)
(define (basic-simply fact)
(match fact
[(andf inner (anyf)) inner]
[(andf (anyf) inner) inner]
[(andf (anyf) (anyf)) (anyf)]
[_ fact]))
(match fact
[(andf l r)
(define l-result (process-and-or-literal l argument))
(define r-result (process-and-or-literal r argument))
(match* (l-result r-result)
[((related-otherf l-r l-o) (related-otherf r-r r-o))
(related-otherf (basic-simply (andf l-r r-r)) (basic-simply (andf l-o r-o)))])]))
(define (process-and-or-literal fact argument)
(cond
[(andf? fact)
(rele-and-descender fact argument)]
[(orf? fact)
(if (check-purely-on-arg-or fact argument)
(related-otherf fact (anyf))
(related-otherf (anyf) fact))]
[else
(if (check-purely-on-arg-literal fact argument)
(related-otherf fact (anyf))
(related-otherf (anyf) fact))]))
(define (cnf->relevant-fact fact arg)
(process-and-or-literal fact arg))
;
(module+ test
(test
(cnf->relevant-fact (andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(notf (predf 'C 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))) `arg0)
(related-otherf
(andf
(orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash()))))
(orf (notf (predf 'Y 'arg0 '#hash())) (notf (predf 'C 'arg0 '#hash()))))
(andf
(orf (predf 'Z 'arg1 '#hash()) (orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash()) (notf (predf 'C 'arg0 '#hash()))))))
(test (cnf->relevant-fact (andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(iff (predf 'D 'arg0 '#hash())
(predf 'E 'arg0 '#hash())
(predf 'F 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))) `arg0)
(related-otherf
(andf
(orf (notf (predf 'Y 'arg0 '#hash())) (orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash()))))
(orf (notf (predf 'Y 'arg0 '#hash())) (iff (predf 'D 'arg0 '#hash()) (predf 'E 'arg0 '#hash()) (predf 'F 'arg0 '#hash()))))
(andf
(orf (predf 'Z 'arg1 '#hash()) (orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash()) (notf (predf 'C 'arg0 '#hash()))))))
(test (cnf->relevant-fact (andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(iff (predf 'D 'arg0 '#hash())
(predf 'E 'arg0 '#hash())
(predf 'F 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))) `arg1)
(related-otherf
(anyf)
(andf
(andf
(orf (notf (predf 'Y 'arg0 '#hash())) (orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash()) (orf (notf (predf 'A 'arg0 '#hash())) (notf (predf 'B 'arg0 '#hash())))))
(andf (orf (notf (predf 'Y 'arg0 '#hash())) (iff (predf 'D 'arg0 '#hash()) (predf 'E 'arg0 '#hash()) (predf 'F 'arg0 '#hash()))) (orf (predf 'Z 'arg1 '#hash()) (notf (predf 'C 'arg0 '#hash())))))))
(test
(cnf->relevant-fact (andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(notf (predf 'C 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))) `arg1)
(related-otherf (anyf) (andf
(andf (orf (notf (predf 'Y 'arg0 '#hash()))
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash()))))
(orf (predf 'Z 'arg1 '#hash())
(orf (notf (predf 'A 'arg0 '#hash()))
(notf (predf 'B 'arg0 '#hash())))))
(andf (orf
(notf (predf 'Y 'arg0 '#hash()))
(notf (predf 'C 'arg0 '#hash())))
(orf (predf 'Z 'arg1 '#hash())
(notf (predf 'C 'arg0 '#hash()))))) )))
(define/contract (related-fact fact arg)
(-> Facts? any/c related-otherf?)
;(define sim-fact (simplify-facts fact))
(define nnf (to-nnf fact))
(define cnf (nnf->cnf nnf))
(cnf->relevant-fact cnf arg))
(provide
related-fact)
;(module+ test
; (test (related-fact (notf (iff
; (iff (predf 'pred1? 'arg0 '#hash())
; (predf 'pred1? 'arg0 '#hash())
; (nonef))
; (iff (predf 'pred3? 'arg1 '#hash())
; (nonef) (anyf)) (anyf))) `arg0)
; (cons (predf 'pred1? 'arg0 '#hash()) (andf (predf 'pred1? 'arg1 '#hash()) (predf 'pred3? 'arg1 '#hash()))))
; (test (related-fact (notf (iff
; (iff (predf 'pred1? 'arg0 '#hash())
; (predf 'pred1? 'arg1 '#hash())
; (nonef))
; (iff (predf 'pred3? 'arg1 '#hash())
; (nonef) (anyf)) (anyf))) `arg1)
; (cons (andf (predf 'pred1? 'arg1 '#hash()) (predf 'pred3? 'arg1 '#hash())) (predf 'pred1? 'arg0 '#hash()))))