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Comm

Comm-kind

Get the kind (tag) of a comm structure.

Signature
(comm-kind x) → kind
Arguments: x — Guard (commp x).

Definitions and Theorems

Function: comm-kind$inline

(defun comm-kind$inline (x)
  (declare (xargs :guard (commp x)))
  (let ((__function__ 'comm-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :asg)) :asg)
                      ((eq (car x) :if) :if)
                      (t :while))
         :exec (car x))))

Theorem: comm-kind-possibilities

(defthm comm-kind-possibilities
 (or (equal (comm-kind x) :asg)
     (equal (comm-kind x) :if)
     (equal (comm-kind x) :while))
 :rule-classes ((:forward-chaining :trigger-terms ((comm-kind x)))))