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• Computation-states

Not-errorp-of-write-object-of-exit-scope

If writing an object not in the top scope causes no error, neither does writing the object after exiting the scope.

Definitions and Theorems

Theorem: not-errorp-of-write-object-top-static/alloc-of-exit-scope

(defthm not-errorp-of-write-object-top-static/alloc-of-exit-scope
 (implies
      (and (member-equal (objdesign-kind (objdesign-top objdes))
                         '(:static :alloc))
           (not (errorp (write-object objdes val compst))))
      (not (errorp (write-object objdes val (exit-scope compst))))))

Theorem: not-errorp-of-write-object-auto-of-exit-scope

(defthm not-errorp-of-write-object-auto-of-exit-scope
 (implies
  (and
   (equal (objdesign-kind objdes) :auto)
   (or
     (not (equal (objdesign-auto->frame objdes)
                 (1- (compustate-frames-number compst))))
     (not (equal (objdesign-auto->scope objdes)
                 (1- (compustate-top-frame-scopes-number compst)))))
   (not (errorp (write-object objdes val compst))))
  (not (errorp (write-object objdes val (exit-scope compst))))))

Theorem: not-errorp-of-write-object-top-auto-of-exit-scope

(defthm not-errorp-of-write-object-top-auto-of-exit-scope
 (implies
  (and
   (equal (objdesign-kind (objdesign-top objdes))
          :auto)
   (or
     (not (equal (objdesign-auto->frame (objdesign-top objdes))
                 (1- (compustate-frames-number compst))))
     (not (equal (objdesign-auto->scope (objdesign-top objdes))
                 (1- (compustate-top-frame-scopes-number compst)))))
   (not (errorp (write-object objdes val compst))))
  (not (errorp (write-object objdes val (exit-scope compst))))))

Theorem: not-errorp-of-write-object-of-exit-scope

(defthm not-errorp-of-write-object-of-exit-scope
 (implies
  (and
   (or
     (member-equal (objdesign-kind (objdesign-top objdes))
                   '(:static :alloc))
     (not (equal (objdesign-auto->frame (objdesign-top objdes))
                 (1- (compustate-frames-number compst))))
     (not (equal (objdesign-auto->scope (objdesign-top objdes))
                 (1- (compustate-top-frame-scopes-number compst)))))
   (not (errorp (write-object objdes val compst))))
  (not (errorp (write-object objdes val (exit-scope compst))))))