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Aig-symbolic-arithmetic

Sv::aig-logand-ss

Signature
(sv::aig-logand-ss a b) → a&b
Arguments: a — Guard (true-listp a).; b — Guard (true-listp b).
Returns: a&b — Type (true-listp a&b).

Definitions and Theorems

Function: aig-logand-ss

(defun sv::aig-logand-ss (a b)
  (declare (xargs :guard (and (true-listp a) (true-listp b))))
  (let ((__function__ 'sv::aig-logand-ss))
    (declare (ignorable __function__))
    (b* (((mv af ar aend) (first/rest/end a))
         ((when aend)
          (sv::aig-ite-bss af b '(nil)))
         ((mv bf br bend) (first/rest/end b))
         ((when bend)
          (sv::aig-ite-bss bf a '(nil)))
         (c (acl2::aig-and af bf))
         (r (sv::aig-logand-ss ar br)))
      (sv::aig-scons c r))))

Theorem: true-listp-of-aig-logand-ss

(defthm sv::true-listp-of-aig-logand-ss
  (b* ((a&b (sv::aig-logand-ss a b)))
    (true-listp a&b))
  :rule-classes :type-prescription)

Theorem: aig-logand-ss-correct

(defthm sv::aig-logand-ss-correct
  (b* ((a&b (sv::aig-logand-ss a b)))
    (and (equal (sv::aig-list->s a&b env)
                (logand (sv::aig-list->s a env)
                        (sv::aig-list->s b env))))))