615 lines
22 KiB
Racket
615 lines
22 KiB
Racket
#lang racket
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(require redex)
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(require "match.rkt")
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(require racket/set)
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(require profile)
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(provide test-red-rel
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test-non-term)
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(define lit-table (make-hash))
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(define or-table (make-hash))
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(define nt-table (make-hash))
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(define set-from-list
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(λ (lst)
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(apply set lst)))
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(define-struct nt-struct (match-bool match-set))
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#;(define lang '(define-language T
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(n (number_1 ... number_1 ...))
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(m ((number_1 number_1) ...))
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(o ((number_1 ... number_1 ...) ...))
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(q ((number_1 ... number_1 ...) ... (number_1 ... number_1 ...) ...))
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))
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#;(define lang '(define-language T
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(e (e e ...) (if0 e e e) x v)
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(v (λ (x ...) e) number * +)
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(E (v ... E e ...) (if0 E e e) hole)
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(x (variable-except if0 λ * +)))
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)
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#;(define lang-rr
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'(reduction-relation T
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(--> (in-hole C (and false B))
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(in-hole C false)
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)
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(--> (in-hole C (and true B))
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(in-hole C B)
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)
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(--> (in-hole C (or false B))
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(in-hole C B))
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(--> (in-hole C (or true B))
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(in-hole C true))
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))
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#;(define-metafunction λv
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subst-vars : ((x any) ... any) -> any
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[(subst-vars ((x_1 any_1) x_1)) any_1]
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[(subst-vars ((x_1 any_1) (any_2 ...)))
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((subst-vars ((x_1 any_1) any_2)) ...)]
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[(subst-vars (side-condition
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((x_1 any_1) any_2)
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(not (eq? (term x_1) (term any_2)))))
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any_2]
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[(subst-vars ((x_1 any_1) (x_2 any_2) ... any_3))
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(subst-vars ((x_1 any_1) (subst-vars ((x_2 any_2) ... any_3))))]
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[(subst-vars (any)) any])
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(define lang-rr
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'(reduction-relation
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λv
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(--> ((x_1 any_1) x_1)
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any_1)
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(--> ((x_1 any_1) (any_2 ...))
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,(map subst-vars (term (((x_1 any_1) any_2) ...))) )
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(--> (side-condition
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((x_1 any_1) any_2)
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(and (not (list? any_2))
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(not (eq? (term x_1) (term any_2)))))
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any_2)
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(--> ((x_1 any_1) (x_2 any_2) (x_3 any_3) ... any_4)
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,(subst-vars (term ((x_1 any_1) ,(subst-vars (term ((x_2 any_2) (x_3 any_3) ... any_4)))))))
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(--> (any)
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any)
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)
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)
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#;(define-metafunction λv
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subst : (x any any) -> any
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;; 1. x_1 bound, so don't continue in λ body
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[(subst (x_1 any_1 (λ (x_2 ... x_1 x_3 ...) any_2)))
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(λ (x_2 ... x_1 x_3 ...) any_2)]
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;; 2. general purpose capture avoiding case
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[(subst (side-condition
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(x_1 any_1 (λ (x_2 ...) any_2))
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(not (memq (term x_1) (term (x_2 ...))))))
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,(term-let ([(x_new ...) (variables-not-in (term (x_1 any_1 any_2)) (term (x_2 ...)))])
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(term
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(λ (x_new ...) (subst (x_1 any_1 (subst-vars ((x_2 x_new) ... any_2)))))))]
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;; 3. replace x_1 with e_1
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[(subst (x_1 any_1 x_1)) any_1]
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;; 4. x_1 and x_2 are different, so don't replace
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[(subst (side-condition
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(x_1 any_1 x_2)
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(not (eq? (term x_1) (term x_2)))))
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x_2]
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;; the last cases cover all other expressions
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[(subst (x any (e_1 e_2 ...)))
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(,(subst (x any e_1)) (subst (x any e_2)) ...)]
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[(subst (x any (if0 e_1 e_2 e_3)))
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(if0 (subst (x any e_1)) (subst (x any e_2)) (subst (x any e_3)))]
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[(subst (x any number)) number]
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[(subst (x any +)) +]
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[(subst (x any *)) *])
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#;(define lang-rr
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'(reduction-relation
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λv
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(--> (x_1 any_1 (λ (x_2 ... x_1 x_3 ...) any_2))
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(λ (x_2 ... x_1 x_3 ...) any_2))
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(--> (side-condition
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(x_1 any_1 (λ (x_2 ...) any_2))
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(not (memq (term x_1) (term (x_2 ...)))))
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,(term-let ([(x_new ...) (variables-not-in (term (x_1 any_1 any_2)) (term (x_2 ...)))])
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(term
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(λ (x_new ...) ,(subst (term (x_1 any_1 ,(subst-vars (term ((x_2 x_new) ... any_2))))) )))) )
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(--> (x_1 any_1 x_1)
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any_1)
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(--> (side-condition
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(x_1 any_1 x_2)
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(not (eq? (term x_1) (term x_2))))
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x_2)
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(--> (x any (e_1 e_2 ...))
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(,(subst (term (x any e_1))) ,@(map subst (term ((x any e_2) ...)))) )
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(--> (x any (if0 e_1 e_2 e_3))
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(if0 ,(subst (term (x any e_1))) ,(subst (term (x any e_2))) ,(subst (term (x any e_3)))))
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(--> (x any number)
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number)
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(--> (x any +)
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+)
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(--> (x any *)
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*)
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)
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)
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#;(define-metafunction λv
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subst-n : ((x any) ... any) -> any
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[(subst-n ((x_1 any_1) (x_2 any_2) ... any_3))
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(subst (x_1 any_1 (subst-n (x_2 any_2) ... any_3)))]
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[(subst-n (any_3)) any_3])
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#;(define lang-rr '(reduction-relation
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λv
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(--> ((x_1 any_1) (x_2 any_2) ... any_3)
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,(subst (term (x_1 any_1 ,(subst-n (term ((x_2 any_2) ... any_3)))))))
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(--> (any_3)
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any_3)
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)
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)
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#;(define lang-rr '(reduction-relation
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λv
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(--> (in-hole E (* number_1 number_2))
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(in-hole E ,(* (term number_1) (term number_2))))
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(--> (in-hole E (+ number_1 number_2))
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(in-hole E ,(+ (term number_1) (term number_2))))
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(--> (in-hole E (if0 0 e_1 e_2))
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(in-hole E e_1))
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(--> (in-hole E (if0 (side-condition number_1 (not (zero? (term number_1)))) e_1 e_2))
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(in-hole E e_2))
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(--> (in-hole E (side-condition ((λ (x ...) e) v ...)
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(= (length (term (x ...)))
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(length (term (v ...))))))
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(in-hole E ,(subst-n (term ((x v) ... e))))))
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)
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(define (compile-define-language-nts dl)
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(match dl
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[`(define-language ,(? symbol? name)
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,non-terms ...)
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(map (λ (x) (car x))
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non-terms)]
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[_
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'error]))
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(define (compile-define-language-lit dl nts)
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(match dl
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[`(define-language ,(? symbol? name)
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,non-terms ...)
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(map (λ (x) (extract-literals/pat nts (cdr x) lit-table))
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non-terms)]
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[_
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'error]))
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(define (extract-literals/pat nts pat ht)
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(let loop ([pat pat])
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(match pat
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[`any (void)]
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[`number (void)]
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[`string (void)]
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[`natural (void)]
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[`integer (void)]
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[`real (void)]
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[`variable (void)]
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[`(variable-except ,s ...) (void)]
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[`(variable-prefix ,s) (void)]
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[`variable-not-otherwise-mentioned (void)]
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[`hole (void)]
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[(? symbol? s)
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(unless (regexp-match #rx"_" (symbol->string s))
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(unless (regexp-match #rx"^\\.\\.\\." (symbol->string s))
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(unless (memq s nts)
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(hash-set! ht s #t)
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)))]
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[`(name ,name ,pat) (loop pat)]
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[`(in-hole ,p1 ,p2)
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(loop p1)
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(loop p2)]
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[`(hide-hole ,p) (loop p)]
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[`(side-condition ,p ,g ,e)
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(loop p)]
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[`(cross ,s) (void)]
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[_
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(let l-loop ([l-pat pat])
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(when (pair? l-pat)
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(loop (car l-pat))
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(l-loop (cdr l-pat))))])))
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(define (compile-define-language-or dl nts)
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(match dl
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[`(define-language ,(? symbol? name)
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,non-terms ...)
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(map (λ (x) (hash-set! or-table (car x) (build-or (cdr x) nts (hash-map lit-table (λ (x y) x)) #t)))
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non-terms)]
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[_
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'error]))
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(define (build-or pat-l nts syms dl)
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(let loop ([pat-l pat-l]
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[nts nts]
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[syms syms])
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(if (pair? pat-l)
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(if (eqv? (length pat-l) 1)
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(translate-redex (car pat-l) nts syms dl)
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`(or ,(translate-redex (car pat-l) nts syms dl)
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,(loop (cdr pat-l) nts syms)))
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(translate-redex pat-l nts syms dl))))
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(define (translate-redex pat nts syms dl)
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(let loop ([pat pat])
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(match pat
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[`(,repeated ,(? (λ (x) (eq? x '...)) ep))
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`(repeat ,(loop repeated) '())]
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[`(,repeated ,(? (λ (x) (eq? x '...)) ep) ,next ...)
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`(repeat ,(loop repeated) ,(loop next))]
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[`any (if dl 'wc '(lit-name any wc))]
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[`number (if dl 'lit-number '(lit-name number lit-number))]
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[`string (if dl 'lit-string '(lit-name string lit-string))]
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[`natural (if dl 'lit-natural '(lit-name natural lit-natural))]
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[`integer (if dl 'lit-integer '(lit-name integer lit-integer))]
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[`real (if dl 'lit-real '(lit-name real lit-real))]
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[`variable (if dl 'lit-variable '(lit-name variable lit-variable))]
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[`(variable-except ,s ...) `(lit-variable-except ,@s)]
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[`(variable-prefix ,s) `(lit-variable-prefix ,s)]
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[`variable-not-otherwise-mentioned (if dl `(lit-variable-except ,@syms) `(lit-name variable-not-otherwise-mentioned (lit-variable-except ,@syms)))]
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[`hole 'lit-hole]
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; for now if it has an underscore assume it's a non-terminal
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[(? symbol? s)
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(if (memq s nts)
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(if dl
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`(nt ,s)
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`(lit-name ,s (nt ,s)))
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(if (has-underscore? s)
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(let ((split (split-underscore s)))
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(cond
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((equal? split 'any) `(lit-name ,s wc))
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((equal? split 'number) `(lit-name ,s lit-number))
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((equal? split 'string) `(lit-name ,s lit-string))
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((equal? split 'natural) `(lit-name ,s lit-natural))
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((equal? split 'integer) `(lit-name ,s lit-integer))
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((equal? split 'real) `(lit-name ,s lit-real))
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((equal? split 'variable) `(lit-name ,s lit-variable))
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((equal? split 'variable-not-otherwise-mentioned) `(lit-name ,s (lit-variable-except ,@syms)))
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((equal? split 'hole) `(lit-name ,s lit-hole))
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(else `(lit-name ,s (nt ,split)))
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)
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)
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`',s))]
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[`(name ,name ,pat) `(lit-name ,name ,(loop pat))]
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[`(in-hole ,p1 ,p2)
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`(lit-in-hole
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,(loop p1)
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,(loop p2))]
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[`(hide-hole ,p) `(lit-hide-hole ,(loop p))]
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[`(side-condition ,p #;,g ,e)
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`(lit-side-condition ,(loop p) ,e)]
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[`(cross ,s) (void)]
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[e
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(if (pair? pat)
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`(cons ,(loop (car pat))
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,(loop (cdr pat)))
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(if (empty? pat)
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''()
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e))]
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)))
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;; split-underscore : symbol -> symbol
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;; returns the text before the underscore in a symbol (as a symbol)
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;; raise an error if there is more than one underscore in the input
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(define (split-underscore sym)
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(let ([str (symbol->string sym)])
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(cond
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[(regexp-match #rx"^([^_]*)_[^_]*$" str)
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=>
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(λ (m) (string->symbol (cadr m)))]
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[(regexp-match #rx"^([^_]*)_!_[^_]*$" str)
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=>
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(λ (m) (string->symbol (cadr m)))]
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[else
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(error 'compile-pattern "found a symbol with multiple underscores: ~s" sym)])))
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;; has-underscore? : symbol -> boolean
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(define (has-underscore? sym)
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(memq #\_ (string->list (symbol->string sym))))
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(define build-hole-table
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(λ (old-ht)
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(unless (equal? hole-table old-ht)
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(let ((prev (make-hash)))
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(hash-for-each
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hole-table
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(λ (key val)
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(hash-set! prev key val)))
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(hash-for-each
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or-table
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(λ (key val)
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;(printf "~a: ~a\n" key `(term (detect-hole2 0 ,val)))
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(hash-set! hole-table key (term (detect-hole2 0 ,val)))))
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(build-hole-table prev))))
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)
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(define state '())
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(define hole-var '())
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(define nt-func '())
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(define wrap-production-with-name
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(λ (x)
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(set! state x)
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(set! hole-var '())
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(set! nt-func '())
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(wrap-production-with-name-helper x)
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)
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)
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(define wrap-production-with-name-helper
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(λ (exp)
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(match exp
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[`(cons ,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p1)
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,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p2))
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`(cons ,(wrap-production-with-name-helper p1) ,(wrap-production-with-name-helper p2))]
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[`(cons ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p1)
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,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p2))
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`(cons ,(wrap-production-with-name-helper p1) ,(wrap-production-with-name-helper p2))]
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[`(cons ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p1)
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,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p2))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x (cons ,p1 ,p2)))]
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[`(lit-name ,id ,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p))
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`(lit-name ,id ,(wrap-production-with-name-helper p))]
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[`(lit-name ,id ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p))
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`(lit-name ,id ,p)]
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[`(lit-side-condition ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p) ,any)
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x (lit-side-condition ,p ,any))
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)]
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[`(lit-side-condition ,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p) ,any)
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(wrap-production-with-name-helper p)]
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[`(repeat ,p1 ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p2))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x (repeat ,p1 ,p2))
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)]
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[`(repeat ,p1 ,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p2))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(repeat (lit-name ,x ,p1) ,(wrap-production-with-name-helper p2))
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)]
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[`(lit-in-hole ,p1 ,(? (λ (x) (eqv? 0 (term (detect-hole2 0 ,x)))) p2))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x (lit-in-hole ,p1 ,p2))
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)]
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[`(lit-in-hole ,p1 ,(? (λ (x) (eqv? 1 (term (detect-hole2 0 ,x)))) p2))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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(let ((y (variable-not-in state 'y)))
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(set! hole-var y)
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`(lit-in-hole (lit-name ,x ,p1) (lit-name ,y ,p2))
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)
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)]
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['lit-hole
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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(set! hole-var x)
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`(lit-name ,x lit-hole)
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)]
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[`(nt ,id)
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(if (eqv? 1 (term (detect-hole2 0 (nt ,id))))
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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(set! hole-var x)
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(set! nt-func id)
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`(lit-name ,x wc)
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)
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x (nt ,id))
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)
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)]
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[`',(? (λ (x) (or (symbol? x) (equal? '() x))) ex)
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exp]
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[_ (if (or (number? exp) (string? exp) (boolean? exp))
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exp
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(let ((x (variable-not-in state 'x)))
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(set! state (cons x state))
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`(lit-name ,x ,exp)
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))])
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)
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)
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(define build-right-hand-side
|
||
(λ (x)
|
||
(if (equal? nt-func '())
|
||
(if (equal? hole-var '())
|
||
`(set! results (cons (cons ,(build-right-hand-side-helper x) '()) results))
|
||
`(set! results (cons (cons ,(build-right-hand-side-helper x) (term ,hole-var)) results))
|
||
)
|
||
`(for ((,hole-var (in-list (,(string->symbol (format "~s~s" nt-func '-list)) (term ,hole-var)))))
|
||
(set! results (cons (cons ,(build-right-hand-side-helper x) (cdr ,hole-var)) results))
|
||
)
|
||
)
|
||
)
|
||
)
|
||
|
||
(define build-right-hand-side-helper
|
||
(λ (exp)
|
||
(match exp
|
||
[`(lit-name ,(? (λ (x) (not (equal? hole-var x))) x) ,p)
|
||
(if (or (not (cons? p)) (and (cons? p) (not (equal? (car p) 'lit-name))))
|
||
`(term ,x)
|
||
(build-right-hand-side-helper p))]
|
||
[`(lit-name ,(? (λ (x) (equal? hole-var x)) x) lit-hole)
|
||
'the-hole]
|
||
[`(lit-name ,(? (λ (x) (equal? hole-var x)) x) wc)
|
||
`(car ,hole-var)]
|
||
[`(lit-name ,(? (λ (x) (equal? hole-var x)) x) ,p)
|
||
`(term ,x)]
|
||
[`(cons ,p1 ,p2)
|
||
`(cons ,(build-right-hand-side-helper p1) ,(build-right-hand-side-helper p2))]
|
||
[`(lit-in-hole ,p1 ,p2)
|
||
(build-right-hand-side-helper p1)]
|
||
[`(repeat ,p1 ,p2)
|
||
`(append ,(build-right-hand-side-helper p1) ,(build-right-hand-side-helper p2))]
|
||
[_
|
||
exp]
|
||
)))
|
||
|
||
(define make-or-list
|
||
(λ (exp)
|
||
(match exp
|
||
[`(or ,pro1 ,pro2)
|
||
(cons pro1 (make-or-list pro2))]
|
||
[_ (cons exp '())]
|
||
)
|
||
)
|
||
)
|
||
|
||
(define-namespace-anchor here)
|
||
|
||
;; compile-dl : sexp[lang] -> (listof sexp[def])
|
||
(define (compile-dl lang)
|
||
(let* ([lang lang]
|
||
[nts (compile-define-language-nts lang)]
|
||
[lit-table lit-table]
|
||
[or-table or-table]
|
||
[nt-table nt-table]
|
||
[hole-table hole-table])
|
||
|
||
|
||
(compile-define-language-lit lang nts)
|
||
(compile-define-language-or lang nts)
|
||
(caching-enabled? #f)
|
||
; Initialize the hole table
|
||
(hash-for-each
|
||
or-table
|
||
(λ (key val)
|
||
(hash-set! hole-table key (term (detect-hole 0 ,val)))
|
||
))
|
||
|
||
(build-hole-table '())
|
||
(caching-enabled? #t)
|
||
|
||
(hash-for-each
|
||
or-table
|
||
(λ (key val)
|
||
(let ((compiled-bool (car (apply-reduction-relation* red
|
||
(term (matrix (a)
|
||
(
|
||
((,val -> (set! results (cons #t results))) ,@(map (λ (x) (list x #f)) (remove-duplicates (term (Get-Free-Name-Patterns ,val () ())))))
|
||
)
|
||
()
|
||
()
|
||
0
|
||
#f)))))
|
||
(compiled-set (car (apply-reduction-relation* red
|
||
(term (matrix (a)
|
||
( ,@(map (λ (x)
|
||
(let ((row (wrap-production-with-name x)))
|
||
`((,row -> ,(build-right-hand-side row))
|
||
|
||
,@(map (λ (x) (list x #f)) (remove-duplicates (term (Get-Free-Name-Patterns ,row () ())))))))
|
||
(make-or-list val)))
|
||
()
|
||
()
|
||
0
|
||
#f))))
|
||
))
|
||
(hash-set! nt-table
|
||
key
|
||
(make-nt-struct
|
||
(term (define ,(string->symbol (format "~s~s" key '-bool))
|
||
(λ (a)
|
||
(let ((results (list)))
|
||
,compiled-bool
|
||
(and (andmap values results) (positive? (length results)))))))
|
||
(term (define ,(string->symbol (format "~s~s" key '-list))
|
||
(λ (a)
|
||
(let ((results (list)))
|
||
,compiled-set
|
||
results)))))))))
|
||
|
||
(append (hash-map nt-table (λ (_ n) (nt-struct-match-bool n)))
|
||
(hash-map nt-table (λ (_ n) (nt-struct-match-set n))))))
|
||
|
||
; compile-reduction-relation: sexp[reduction-relation] (listof symbol[non-terminals]) (listof symbols) -> sexp[def]
|
||
(define (compile-reduction-relation rr nts syms)
|
||
`(λ (a)
|
||
(let ([results '()])
|
||
,(car
|
||
(apply-reduction-relation*
|
||
red
|
||
(let loop ([e rr])
|
||
(match e
|
||
[`(reduction-relation ,L ,rules ...)
|
||
(term (matrix (a) ,(map loop rules) () () 0 #f))]
|
||
[`(--> ,pat ,t)
|
||
(let ((p (translate-redex pat nts syms #f)))
|
||
`((,p -> (set! results (cons (term ,t) results)))
|
||
,@(map (λ (x) (list x #f))
|
||
(remove-duplicates (term (Get-Free-Name-Patterns ,p () ()))))))]))))
|
||
results)))
|
||
|
||
;; make-lang-namespace: sexp[lang] -> namespace
|
||
(define (make-lang-namespace lang)
|
||
(define lang-defs (compile-dl lang))
|
||
(define namespace (namespace-anchor->namespace here))
|
||
(for-each (curryr eval namespace) lang-defs)
|
||
namespace)
|
||
|
||
;; test-red-rel: sexp[lang] -> sexp[red-rel] (listof sexp[nts]) (listof symbol) -> sexp[term] -> sexp[term]
|
||
(define (test-red-rel lang)
|
||
(define namespace (make-lang-namespace lang))
|
||
(λ (rel nts syms)
|
||
(eval (compile-reduction-relation rel nts syms) namespace)))
|
||
|
||
;; sexp[lang] -> sexp[non-terminal] -> sexp[term] -> boolean
|
||
(define (test-non-term lang)
|
||
(define namespace (make-lang-namespace lang))
|
||
(λ (nt)
|
||
(eval `(λ (t) (,(string->symbol (format "~s-bool" nt)) t)) namespace)))
|
||
|
||
(define-language T
|
||
(B true
|
||
false
|
||
(and B B))
|
||
(C (and C B)
|
||
hole))
|
||
|
||
(define bool-red-test
|
||
(reduction-relation T
|
||
(--> (in-hole C (and false B))
|
||
(in-hole C false)
|
||
)
|
||
(--> (in-hole C (and true B))
|
||
(in-hole C B)
|
||
)))
|
||
|
||
(caching-enabled? #f)
|
||
|
||
(define ∅ #f)
|
||
(define ∪ set-union)
|
||
(define singleton set)
|
||
|
||
(define no-context #f)
|
||
|
||
(define in-context #t)
|
||
|
||
(define context-match (make-parameter no-context))
|
||
|
||
(define rev (λ (x)
|
||
(if (cons? x)
|
||
(reverse x)
|
||
x)))
|
||
(define or-fun (λ (x ...) (or x ...)))
|
||
|
||
(define sing-fun (λ (x) #t))
|
||
|
||
(define the-hole (term hole))
|