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• Computation-states

Exit-scope

Exit a scope.

Signature

(exit-scope compst) → new-compst

Arguments

compst — Guard (compustatep compst).

Returns

new-compst — Type (compustatep new-compst).

We pop the scope stack of the top frame.

Definitions and Theorems

Function: exit-scope

(defun exit-scope (compst)
 (declare (xargs :guard (compustatep compst)))
 (declare
   (xargs :guard (and (> (compustate-frames-number compst) 0)
                      (> (compustate-top-frame-scopes-number compst)
                         1))))
 (let ((__function__ 'exit-scope))
   (declare (ignorable __function__))
   (b* ((frame (top-frame compst))
        (scopes (frame->scopes frame))
        (new-scopes (cdr scopes))
        (new-frame (change-frame frame :scopes new-scopes))
        (new-compst (push-frame new-frame (pop-frame compst))))
     new-compst)))

Theorem: compustatep-of-exit-scope

(defthm compustatep-of-exit-scope
  (b* ((new-compst (exit-scope compst)))
    (compustatep new-compst))
  :rule-classes :rewrite)

Theorem: compustate-frames-number-of-exit-scope

(defthm compustate-frames-number-of-exit-scope
  (implies (> (compustate-frames-number compst) 0)
           (b* nil
             (equal (compustate-frames-number (exit-scope compst))
                    (compustate-frames-number compst)))))

Theorem: compustate-scopes-numbers-of-exit-scope

(defthm compustate-scopes-numbers-of-exit-scope
  (implies
       (and (> (compustate-frames-number compst) 0)
            (> (compustate-top-frame-scopes-number compst)
               1))
       (b* ((?new-compst (exit-scope compst)))
         (equal (compustate-scopes-numbers new-compst)
                (cons (1- (car (compustate-scopes-numbers compst)))
                      (cdr (compustate-scopes-numbers compst)))))))

Theorem: exit-scope-of-compustate-fix-compst

(defthm exit-scope-of-compustate-fix-compst
  (equal (exit-scope (compustate-fix compst))
         (exit-scope compst)))

Theorem: exit-scope-compustate-equiv-congruence-on-compst

(defthm exit-scope-compustate-equiv-congruence-on-compst
  (implies (compustate-equiv compst compst-equiv)
           (equal (exit-scope compst)
                  (exit-scope compst-equiv)))
  :rule-classes :congruence)