215 lines
8.4 KiB
Racket
215 lines
8.4 KiB
Racket
#lang s-exp "redex-curnel.rkt"
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;; OLL: The OTT-Like Library
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;; TODO: Add latex extraction
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;; TODO: Automagically create a parser from bnf grammar
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(require "stdlib/sugar.rkt" "stdlib/nat.rkt" racket/trace)
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(provide define-relation define-language var avar var-equal?)
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(begin-for-syntax
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(define-syntax-class dash
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(pattern x:id
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#:fail-unless (regexp-match #rx"-+" (symbol->string (syntax-e #'x)))
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"Invalid dash"))
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(define-syntax-class decl (pattern (x:id (~datum :) t:id)))
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;; TODO: Automatically infer decl ... by binding all free identifiers?
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(define-syntax-class inferrence-rule
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(pattern (d:decl ...
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x*:expr ...
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line:dash lab:id
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(name:id y* ...))
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#:with rule #'(lab : (forall* d ...
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(->* x* ... (name y* ...)))))))
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(define-syntax (define-relation syn)
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(syntax-parse syn
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[(_ (n:id types* ...) rules:inferrence-rule ...)
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#:fail-unless (andmap (curry equal? (length (syntax->datum #'(types* ...))))
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(map length (syntax->datum #'((rules.y* ...)
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...))))
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"Mismatch between relation declared and relation definition"
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#:fail-unless (andmap (curry equal? (syntax->datum #'n))
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(syntax->datum #'(rules.name ...)))
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"Mismatch between relation declared name and result of inference rule"
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#`(data n : (->* types* ... Type)
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rules.rule ...)]))
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(begin-for-syntax
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(require racket/syntax)
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(define (new-name name . id*)
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(apply format-id name (for/fold ([str "~a"])
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([_ id*])
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(string-append str "-~a")) name (map syntax->datum id*)))
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(define (fresh-name id)
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(datum->syntax id (gensym (syntax->datum id)))))
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(module+ test
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(begin-for-syntax
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(require rackunit)
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(define (check-id-equal? v1 v2)
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(check-equal?
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(syntax->datum v1)
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(syntax->datum v2)))
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(define (check-id-match? v1 v2)
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(check-regexp-match
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v1
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(symbol->string (syntax->datum v2))))
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(check-id-match?
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#px"term\\d+"
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(fresh-name #'term))
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(check-id-equal?
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#'stlc-lambda
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(new-name #'stlc #'lambda))
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(check-id-match?
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#px"stlc-term\\d+"
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(new-name #'stlc (fresh-name #'term)))))
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;; TODO: Oh, this is a mess. Rewrite it.
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(begin-for-syntax
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(define lang-name (make-parameter #'name))
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(define nts (make-parameter (make-immutable-hash)))
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(define-syntax-class nt
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(pattern e:id #:fail-unless (hash-has-key? (nts) (syntax->datum #'e)) #f
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#:attr name (hash-ref (nts) (syntax->datum #'e))
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#:attr type (hash-ref (nts) (syntax->datum #'e))))
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(define (flatten-args arg arg*)
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(for/fold ([ls (syntax->list arg)])
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([e (syntax->list arg*)])
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(append ls (syntax->list e))))
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(define-syntax-class (right-clause type)
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#;(pattern (~datum var)
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#:attr clause-context #`(#,(new-name (lang-name) #'var) :
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(-> #,(hash-ref (nts) 'var) #,(hash-ref (nts) type)))
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#:attr name #'var
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#:attr arg-context #'(var))
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(pattern e:nt
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#:attr clause-context #`(#,(new-name #'e.name #'->
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(hash-ref (nts) type)) :
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(-> e.type #,(hash-ref (nts) type)))
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#:attr name (fresh-name #'e.name)
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#:attr arg-context #'(e.type))
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(pattern x:id
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#:attr clause-context #`(#,(new-name (lang-name) #'x) :
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#,(hash-ref (nts) type))
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#:attr name (new-name (lang-name) #'x)
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#:attr arg-context #'())
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(pattern ((~var e (right-clause type)) (~var e* (right-clause type)) ...)
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#:attr name (fresh-name #'e.name)
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#:attr clause-context #`(e.name : (->* #,@(flatten-args #'e.arg-context #'(e*.arg-context ...))
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#,(hash-ref (nts) type)))
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#:attr arg-context #`(#,@(flatten-args #'e.arg-context #'(e*.arg-context ...)))))
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(define-syntax-class (right type)
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(pattern ((~var r (right-clause type)) ...)
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#:attr clause #'(r.clause-context ...)))
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#;(define-syntax-class left
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(pattern (type:id (nt*:id ...+))
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#:do ))
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(define-syntax-class nt-clauses
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(pattern ((type:id (nt*:id ...+)
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(~do (nts (for/fold ([ht (nts)])
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([nt (syntax->datum #'(type nt* ...))])
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(hash-set ht nt (new-name (lang-name) #'type)))))
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(~datum ::=)
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. (~var rhs* (right (syntax->datum #'type)))) ...)
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#:with defs (with-syntax ([(name* ...)
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(map (λ (x) (hash-ref (nts) x))
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(syntax->datum #'(type ...)))])
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#`((data name* : Type . rhs*.clause)
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...)))))
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;; TODO: For better error messages, add context, rename some of these patterns. e.g.
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;; (type (meta-vars) ::= ?? )
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(define-syntax (define-language syn)
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(syntax-parse syn
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[(_ name:id (~do (lang-name #'name))
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(~do (nts (hash-set (make-immutable-hash) 'var #'var)))
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(~optional (~seq #:vars (x*:id ...)
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(~do (nts (for/fold ([ht (nts)])
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([v (syntax->datum #'(x* ...))])
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(hash-set ht v (hash-ref ht 'var)))))))
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. clause*:nt-clauses)
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#`(begin . clause*.defs)]))
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(data var : Type (avar : (-> nat var)))
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(define (var-equal? (v1 : var) (v2 : var))
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(case* v1
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[(avar (n1 : nat))
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(case* v2
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[(avar (n2 : nat))
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(nat-equal? n1 n2)])]))
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;; See stlc.rkt for examples
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;; Generate Coq from Cur:
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(begin-for-syntax
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(define (output-coq syn)
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(syntax-parse (cur-expand syn)
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;; TODO: Need to add these to a literal set and export it
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;; Or, maybe overwrite syntax-parse
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#:literals (lambda forall data real-app case)
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[(lambda ~! (x:id (~datum :) t) body:expr)
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(format "(fun ~a : ~a => ~a)" (syntax-e #'x) (output-coq #'t)
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(output-coq #'body))]
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[(forall ~! (x:id (~datum :) t) body:expr)
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(format "(forall ~a : ~a, ~a)" (syntax-e #'x) (output-coq #'t)
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(output-coq #'body))]
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[(data ~! n:id (~datum :) t (x*:id (~datum :) t*) ...)
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(format "Inductive ~a : ~a :=~n~a."
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(syntax-e #'n)
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(output-coq #'t)
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(string-trim
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(for/fold ([strs ""])
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([clause (syntax->list #'((x* : t*) ...))])
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(syntax-parse clause
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[(x (~datum :) t)
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(format "~a~a : ~a~n| " strs (syntax-e #'x)
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(output-coq #'t))]))
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#px"\\s\\| $"
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#:left? #f))]
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;; TODO: Add "case". Will be slightly tricky since the syntax is
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;; quite different from Coq.
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[(real-app e1 e2)
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(format "(~a ~a)" (output-coq #'e1) (output-coq #'e2))]
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[e:id (format "~a" (syntax->datum #'e))])))
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(define-syntax (generate-coq syn)
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(syntax-parse syn
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[(_ (~optional (~seq #:file file)) body:expr)
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(parameterize ([current-output-port (if (attribute file)
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(syntax->datum #'file)
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(current-output-port))])
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(displayln (output-coq #'body))
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#'Type)]))
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(module+ test
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(require "stdlib/sugar.rkt")
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(begin-for-syntax
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(require rackunit)
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(check-equal?
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(format "Inductive nat : Type :=~nz : nat.")
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(output-coq #'(data nat : Type (z : nat))))
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(check-regexp-match
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"(forall .+ : Type, Type)"
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(output-coq #'(-> Type Type)))
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;; TODO: Not sure why these tests are failing.
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(let ([t (output-coq #'(define-relation (meow gamma term type)
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[(g : gamma) (e : term) (t : type)
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--------------- T-Bla
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(meow g e t)]))])
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(check-regexp-match
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"Inductive meow : \\(forall temp. : gamma, \\(forall temp. : term, \\(forall temp. : type, Type\\)\\)\\) :="
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(first (string-split t "\n")))
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(check-regexp-match
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"\\| T-Bla : \\(forall g : gamma, \\(forall e : term, \\(forall t : type, \\(\\(\\(meow g\\) e\\) t\\)\\)\\)\\)\\."
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(second (string-split t "\n"))))))
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