macrotypes/turnstile/examples/fomega3.rkt
Stephen Chang 115aae8e73 completely separate type and kind api, etc; generalize type environment
Previously, "type" functions were reused a lot to manipulate kinds, and other
metadata defined via `define-syntax-category`, but this meant it was impossible
to define separate behavior for some type and kind operations, e.g., type=? and
kind=?. This commit defines a separate api for each `define-syntax-category`
declaration.

Also, every `define-syntax-category` defines a new `define-NAMEd-syntax` form,
which implicitly uses the proper parameters, e.g., `define-kinded-syntax` uses
`kindcheck?`, `current-kind-eval`, and the ':: kind key by default (whereas
before, it was using typecheck?, type-eval, etc).

This commit breaks backwards compatibility. The most likely breakage results
from using a different default key for kinds. It used to be ':, the same as
types, but now the default is '::.

This commit also generalizes the contexts used with `define-NAMEd-syntax` and
`infer`.
- all contexts now accept arbitrary key-values associated with a variable
- all contexts use let* semantics, where a binding is in scope for subsequent
  bindings; this means that one environment is sufficient in most scenarioes,
  e.g., type and term vars can be mixed (if properly ordered)
- environments allow lone identifiers, which are treated as type variables by
  default
2017-02-08 13:07:24 -05:00

35 lines
1.3 KiB
Racket

#lang turnstile/lang
(extends "fomega.rkt" #:except tyapp tyλ)
;; not current working 2017-02-03
; same as fomega2.rkt --- λ and #%app works as both regular and type versions,
; → is both type and kind --- but reuses parts of fomega.rkt,
; ie removes the duplication in fomega2.rkt
;; System F_omega
;; Type relation:
;; - redefine current-kind? and current-type so #%app and λ
;; work for both terms and types
;; Types:
;; - types from fomega.rkt
;; - String from stlc+reco+var
;; Terms:
;; - extend ∀ Λ inst from fomega.rkt
;; - #%datum from stlc+reco+var
;; types and kinds are now mixed, due to #%app and λ
(begin-for-syntax
(define old-kind? (current-kind?))
(current-kind? (λ (k) (or (#%type? k) (old-kind? k) (#%type? (typeof k)))))
;; Try to keep "type?" backward compatible with its uses so far,
;; eg in the definition of λ or previous type constuctors.
;; (However, this is not completely possible, eg define-type-alias)
;; So now "type?" no longer validates types, rather it's a subset.
;; But we no longer need type? to validate types, instead we can use
;; (kind? (typeof t))
(current-type? (λ (t) (or (type? t)
(let ([k (typeof t)])
(or (★? k) (∀★? k)))
((current-kind?) t)))))