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• Computation-states

Push-frame

Push a frame onto a computation state's call stack.

Signature

(push-frame frame compst) → new-compst

Arguments

frame — Guard (framep frame).

compst — Guard (compustatep compst).

Returns

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

Definitions and Theorems

Function: push-frame

(defun push-frame (frame compst)
  (declare (xargs :guard (and (framep frame)
                              (compustatep compst))))
  (let ((__function__ 'push-frame))
    (declare (ignorable __function__))
    (b* ((stack (compustate->frames compst))
         (new-stack (cons (frame-fix frame) stack)))
      (change-compustate compst
                         :frames new-stack))))

Theorem: compustatep-of-push-frame

(defthm compustatep-of-push-frame
  (b* ((new-compst (push-frame frame compst)))
    (compustatep new-compst))
  :rule-classes :rewrite)

Theorem: compustate-frames-number-of-push-frame

(defthm compustate-frames-number-of-push-frame
  (b* ((?new-compst (push-frame frame compst)))
    (equal (compustate-frames-number new-compst)
           (1+ (compustate-frames-number compst)))))

Theorem: push-frame-of-frame-fix-frame

(defthm push-frame-of-frame-fix-frame
  (equal (push-frame (frame-fix frame) compst)
         (push-frame frame compst)))

Theorem: push-frame-frame-equiv-congruence-on-frame

(defthm push-frame-frame-equiv-congruence-on-frame
  (implies (frame-equiv frame frame-equiv)
           (equal (push-frame frame compst)
                  (push-frame frame-equiv compst)))
  :rule-classes :congruence)

Theorem: push-frame-of-compustate-fix-compst

(defthm push-frame-of-compustate-fix-compst
  (equal (push-frame frame (compustate-fix compst))
         (push-frame frame compst)))

Theorem: push-frame-compustate-equiv-congruence-on-compst

(defthm push-frame-compustate-equiv-congruence-on-compst
  (implies (compustate-equiv compst compst-equiv)
           (equal (push-frame frame compst)
                  (push-frame frame compst-equiv)))
  :rule-classes :congruence)