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Inverter

Inverter-p

Recognizer for inverter structures.

Signature
(inverter-p x) → *

Definitions and Theorems

Function: inverter-p

(defun inverter-p (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'inverter-p))
    (declare (ignorable acl2::__function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(input output)))
              :exec (fty::alist-with-carsp x '(input output)))
         (b* ((input (cdr (std::da-nth 0 x)))
              (output (cdr (std::da-nth 1 x))))
           (and (sig-path-p input)
                (sig-path-p output))))))

Theorem: consp-when-inverter-p

(defthm consp-when-inverter-p
  (implies (inverter-p x) (consp x))
  :rule-classes :compound-recognizer)