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Aig-symbolic-arithmetic

Sv::aig-logext-ns

Signature
(sv::aig-logext-ns n x) → xx
Arguments: n — Guard (posp n).; x — Guard (true-listp x).
Returns: xx — Type (true-listp xx).

Definitions and Theorems

Function: aig-logext-ns

(defun sv::aig-logext-ns (n x)
  (declare (xargs :guard (and (posp n) (true-listp x))))
  (let ((__function__ 'sv::aig-logext-ns))
    (declare (ignorable __function__))
    (b* ((n (lposfix n))
         ((mv head tail ?end) (first/rest/end x))
         ((when end) (llist-fix x))
         ((when (eql n 1)) (sv::aig-sterm head)))
      (sv::aig-scons head (sv::aig-logext-ns (1- n) tail)))))

Theorem: true-listp-of-aig-logext-ns

(defthm sv::true-listp-of-aig-logext-ns
  (b* ((xx (sv::aig-logext-ns n x)))
    (true-listp xx))
  :rule-classes :type-prescription)

Theorem: aig-logext-ns-correct

(defthm sv::aig-logext-ns-correct
  (b* ((xx (sv::aig-logext-ns n x)))
    (and (equal (sv::aig-list->s xx env)
                (logext (pos-fix n)
                        (sv::aig-list->s x env))))))