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Aig-symbolic-arithmetic

Sv::aig-loghead-ns

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

Definitions and Theorems

Function: aig-loghead-ns

(defun sv::aig-loghead-ns (n x)
  (declare (xargs :guard (and (natp n) (true-listp x))))
  (let ((__function__ 'sv::aig-loghead-ns))
    (declare (ignorable __function__))
    (b* (((when (zp n)) (sv::aig-sterm nil))
         ((mv head tail ?end)
          (first/rest/end x)))
      (sv::aig-scons head
                     (sv::aig-loghead-ns (1- n) tail)))))

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

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

Theorem: aig-loghead-ns-correct

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