113 lines
4.2 KiB
Racket
113 lines
4.2 KiB
Racket
#lang turnstile/lang
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(extends "sysf.rkt" #:except #%datum ∀ ~∀ ~∀* ∀? Λ inst)
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(reuse String #%datum #:from "stlc+reco+var.rkt")
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;; System F_omega
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;; Type relation:
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;; Types:
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;; - types from sysf.rkt
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;; - String from stlc+reco+var
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;; Terms:
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;; - extend ∀ Λ inst from sysf
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;; - add tyλ and tyapp
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;; - #%datum from stlc+reco+var
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(define-syntax-category kind)
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; want #%type to be equiv to★
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; => edit current-kind? so existing #%type annotations (with no #%kind tag)
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; are treated as kinds
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; <= define ★ as rename-transformer expanding to #%type
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(begin-for-syntax
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(current-kind? (λ (k) (or (#%type? k) (kind? k))))
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;; Try to keep "type?" backward compatible with its uses so far,
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;; eg in the definition of λ or previous type constuctors.
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;; (However, this is not completely possible, eg define-type-alias)
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;; So now "type?" no longer validates types, rather it's a subset.
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;; But we no longer need type? to validate types, instead we can use (kind? (typeof t))
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(current-type? (λ (t)
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(define k (typeof t))
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#;(or (type? t) (★? (typeof t)) (∀★? (typeof t)))
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(and ((current-kind?) k) (not (⇒? k))))))
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; must override, to handle kinds
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(provide define-type-alias)
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(define-syntax define-type-alias
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(syntax-parser
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[(define-type-alias alias:id τ)
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#:with (τ- k_τ) (infer+erase #'τ)
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#:fail-unless ((current-kind?) #'k_τ) (format "not a valid type: ~a\n" (type->str #'τ))
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#'(define-syntax alias (syntax-parser [x:id #'τ-] [(_ . rst) #'(τ- . rst)]))]))
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(provide ★ (for-syntax ★?))
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(define-for-syntax ★? #%type?)
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(define-syntax ★ (make-rename-transformer #'#%type))
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(define-kind-constructor ⇒ #:arity >= 1)
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(define-kind-constructor ∀★ #:arity >= 0)
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(define-type-constructor ∀ #:bvs >= 0 #:arr ∀★)
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;; alternative: normalize before type=?
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; but then also need to normalize in current-promote
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(begin-for-syntax
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(define (normalize τ)
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(syntax-parse τ #:literals (#%plain-app #%plain-lambda)
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[x:id #'x]
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[(#%plain-app
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(#%plain-lambda (tv ...) τ_body) τ_arg ...)
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(normalize (substs #'(τ_arg ...) #'(tv ...) #'τ_body))]
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[(#%plain-lambda (x ...) . bodys)
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#:with bodys_norm (stx-map normalize #'bodys)
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(transfer-stx-props #'(#%plain-lambda (x ...) . bodys_norm) τ #:ctx τ)]
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[(#%plain-app x:id . args)
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#:with args_norm (stx-map normalize #'args)
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(transfer-stx-props #'(#%plain-app x . args_norm) τ #:ctx τ)]
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[(#%plain-app . args)
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#:with args_norm (stx-map normalize #'args)
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#:with res (normalize #'(#%plain-app . args_norm))
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(transfer-stx-props #'res τ #:ctx τ)]
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[_ τ]))
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(define old-eval (current-type-eval))
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(define (type-eval τ) (normalize (old-eval τ)))
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(current-type-eval type-eval)
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(define old-type=? (current-type=?))
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; ty=? == syntax eq and syntax prop eq
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(define (type=? t1 t2)
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(let ([k1 (typeof t1)][k2 (typeof t2)])
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(and (or (and (not k1) (not k2))
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(and k1 k2 ((current-type=?) k1 k2)))
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(old-type=? t1 t2))))
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(current-type=? type=?)
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(current-typecheck-relation (current-type=?)))
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(define-typed-syntax (Λ bvs:kind-ctx e) ≫
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[([bvs.x ≫ tv- : bvs.kind] ...) () ⊢ e ≫ e- ⇒ τ_e]
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--------
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[⊢ e- ⇒ (∀ ([tv- : bvs.kind] ...) τ_e)])
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(define-typed-syntax (inst e τ ...) ≫
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[⊢ e ≫ e- ⇒ : (~∀ (tv ...) τ_body) (⇒ : (~∀★ k ...))]
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[⊢ τ ≫ τ- ⇐ k] ...
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#:with τ-inst (substs #'(τ- ...) #'(tv ...) #'τ_body)
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--------
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[⊢ e- ⇒ τ-inst])
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;; TODO: merge with regular λ and app?
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;; - see fomega2.rkt
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(define-typed-syntax (tyλ bvs:kind-ctx τ_body) ≫
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[[bvs.x ≫ tv- : bvs.kind] ... ⊢ τ_body ≫ τ_body- ⇒ k_body]
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#:fail-unless ((current-kind?) #'k_body)
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(format "not a valid type: ~a\n" (type->str #'τ_body))
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--------
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[⊢ (λ- (tv- ...) τ_body-) ⇒ (⇒ bvs.kind ... k_body)])
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(define-typed-syntax (tyapp τ_fn τ_arg ...) ≫
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[⊢ τ_fn ≫ τ_fn- ⇒ (~⇒ k_in ... k_out)]
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#:fail-unless (stx-length=? #'[k_in ...] #'[τ_arg ...])
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(num-args-fail-msg #'τ_fn #'[k_in ...] #'[τ_arg ...])
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[⊢ τ_arg ≫ τ_arg- ⇐ k_in] ...
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--------
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[⊢ (#%app- τ_fn- τ_arg- ...) ⇒ k_out])
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