		Search-engine friendly clone of the ACL2 documentation.

Aig-symbolic-arithmetic

Sv::aig-logior-ss

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

Definitions and Theorems

Function: aig-logior-ss

(defun sv::aig-logior-ss (a b)
  (declare (xargs :guard (and (true-listp a) (true-listp b))))
  (let ((__function__ 'sv::aig-logior-ss))
    (declare (ignorable __function__))
    (b* (((mv af ar aend) (first/rest/end a))
         ((when aend)
          (sv::aig-ite-bss af '(t) b))
         ((mv bf br bend) (first/rest/end b))
         ((when bend)
          (sv::aig-ite-bss bf '(t) a))
         (c (acl2::aig-or af bf))
         (r (sv::aig-logior-ss ar br)))
      (sv::aig-scons c r))))

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

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

Theorem: aig-logior-ss-correct

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