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• Computation-states

Top-frame

Top frame of a computation state's call stack.

Signature

(top-frame compst) → frame

Arguments

compst — Guard (compustatep compst).

Returns

frame — Type (framep frame).

Definitions and Theorems

Function: top-frame

(defun top-frame (compst)
  (declare (xargs :guard (compustatep compst)))
  (declare (xargs :guard (> (compustate-frames-number compst)
                            0)))
  (let ((__function__ 'top-frame))
    (declare (ignorable __function__))
    (frame-fix (car (compustate->frames compst)))))

Theorem: framep-of-top-frame

(defthm framep-of-top-frame
  (b* ((frame (top-frame compst)))
    (framep frame))
  :rule-classes :rewrite)

Theorem: top-frame-of-push-frame

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

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

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

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

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