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• Static-semantics

Check-toplevel

Check if a top-level construct is statically well-formed.

Signature

(check-toplevel top ctxt) → (mv err? obligs new-ctxt)

Arguments

top — Guard (toplevelp top).

ctxt — Guard (contextp ctxt).

Returns

obligs — Type (proof-obligation-listp obligs).

new-ctxt — Type (contextp new-ctxt).

Return the context updated with the top-level construct.

Definitions and Theorems

Function: check-toplevel

(defun check-toplevel (top ctxt)
 (declare (xargs :guard (and (toplevelp top) (contextp ctxt))))
 (declare
      (xargs :guard (and (null (context->types ctxt))
                         (null (context->functions ctxt))
                         (omap::emptyp (context->variables ctxt))
                         (null (context->obligation-vars ctxt))
                         (null (context->obligation-hyps ctxt)))))
 (let ((__function__ 'check-toplevel))
  (declare (ignorable __function__))
  (b*
   (((mv err? obligs)
     (toplevel-case
          top
          :type (check-type-definition top.get ctxt)
          :types (check-type-recursion top.get ctxt)
          :function (check-function-definition top.get ctxt)
          :functions (check-function-recursion top.get ctxt)
          :specification (check-function-specification top.get ctxt)
          :theorem (check-theorem top.get ctxt)
          :transform (check-transform top.get ctxt)))
    ((when err?)
     (mv err? nil (context-fix ctxt)))
    (new-ctxt (context-add-toplevel top ctxt)))
   (mv nil obligs new-ctxt))))

Theorem: proof-obligation-listp-of-check-toplevel.obligs

(defthm proof-obligation-listp-of-check-toplevel.obligs
  (b* (((mv ?err? ?obligs ?new-ctxt)
        (check-toplevel top ctxt)))
    (proof-obligation-listp obligs))
  :rule-classes :rewrite)

Theorem: contextp-of-check-toplevel.new-ctxt

(defthm contextp-of-check-toplevel.new-ctxt
  (b* (((mv ?err? ?obligs ?new-ctxt)
        (check-toplevel top ctxt)))
    (contextp new-ctxt))
  :rule-classes :rewrite)

Theorem: not-of-check-toplevel-new-ctxt-types

(defthm not-of-check-toplevel-new-ctxt-types
  (implies (not (context->types ctxt))
           (b* (((mv ?err? ?obligs ?new-ctxt)
                 (check-toplevel top ctxt)))
             (not (context->types new-ctxt)))))

Theorem: not-of-check-toplevel-new-ctxt-functions

(defthm not-of-check-toplevel-new-ctxt-functions
  (implies (not (context->functions ctxt))
           (b* (((mv ?err? ?obligs ?new-ctxt)
                 (check-toplevel top ctxt)))
             (not (context->functions new-ctxt)))))

Theorem: emptyp-of-check-toplevel-new-ctxt-variables

(defthm emptyp-of-check-toplevel-new-ctxt-variables
  (implies (omap::emptyp (context->variables ctxt))
           (b* (((mv ?err? ?obligs ?new-ctxt)
                 (check-toplevel top ctxt)))
             (omap::emptyp (context->variables new-ctxt)))))

Theorem: not-of-check-toplevel-new-ctxt-obligation-vars

(defthm not-of-check-toplevel-new-ctxt-obligation-vars
  (implies (not (context->obligation-vars ctxt))
           (b* (((mv ?err? ?obligs ?new-ctxt)
                 (check-toplevel top ctxt)))
             (not (context->obligation-vars new-ctxt)))))

Theorem: not-of-check-toplevel-new-ctxt-obligation-hyps

(defthm not-of-check-toplevel-new-ctxt-obligation-hyps
  (implies (not (context->obligation-hyps ctxt))
           (b* (((mv ?err? ?obligs ?new-ctxt)
                 (check-toplevel top ctxt)))
             (not (context->obligation-hyps new-ctxt)))))

Theorem: check-toplevel-of-toplevel-fix-top

(defthm check-toplevel-of-toplevel-fix-top
  (equal (check-toplevel (toplevel-fix top) ctxt)
         (check-toplevel top ctxt)))

Theorem: check-toplevel-toplevel-equiv-congruence-on-top

(defthm check-toplevel-toplevel-equiv-congruence-on-top
  (implies (toplevel-equiv top top-equiv)
           (equal (check-toplevel top ctxt)
                  (check-toplevel top-equiv ctxt)))
  :rule-classes :congruence)

Theorem: check-toplevel-of-context-fix-ctxt

(defthm check-toplevel-of-context-fix-ctxt
  (equal (check-toplevel top (context-fix ctxt))
         (check-toplevel top ctxt)))

Theorem: check-toplevel-context-equiv-congruence-on-ctxt

(defthm check-toplevel-context-equiv-congruence-on-ctxt
  (implies (context-equiv ctxt ctxt-equiv)
           (equal (check-toplevel top ctxt)
                  (check-toplevel top ctxt-equiv)))
  :rule-classes :congruence)