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• Max-index-clause

Fast-max-index-clause

Tail-recursive version of max-index-clause.

Signature

(fast-max-index-clause clause max) → *

Arguments

clause — Guard (lit-listp clause).

max — Guard (natp max).

Definitions and Theorems

Function: fast-max-index-clause

(defun fast-max-index-clause (clause max)
  (declare (xargs :guard (and (lit-listp clause) (natp max))))
  (let ((__function__ 'fast-max-index-clause))
    (declare (ignorable __function__))
    (b* (((when (atom clause)) (lnfix max))
         (id1 (lit->var (car clause)))
         (max (max (lnfix max) id1)))
      (fast-max-index-clause (cdr clause)
                             max))))

Theorem: fast-max-index-clause-of-lit-list-fix-clause

(defthm fast-max-index-clause-of-lit-list-fix-clause
  (equal (fast-max-index-clause (lit-list-fix clause)
                                max)
         (fast-max-index-clause clause max)))

Theorem: fast-max-index-clause-lit-list-equiv-congruence-on-clause

(defthm fast-max-index-clause-lit-list-equiv-congruence-on-clause
  (implies (lit-list-equiv clause clause-equiv)
           (equal (fast-max-index-clause clause max)
                  (fast-max-index-clause clause-equiv max)))
  :rule-classes :congruence)

Theorem: fast-max-index-clause-of-nfix-max

(defthm fast-max-index-clause-of-nfix-max
  (equal (fast-max-index-clause clause (nfix max))
         (fast-max-index-clause clause max)))

Theorem: fast-max-index-clause-nat-equiv-congruence-on-max

(defthm fast-max-index-clause-nat-equiv-congruence-on-max
  (implies (nat-equiv max max-equiv)
           (equal (fast-max-index-clause clause max)
                  (fast-max-index-clause clause max-equiv)))
  :rule-classes :congruence)