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• Ipasir

Ipasir-bump-activity-vars$a

Logical function for bumping var activity (unmodeled side-effect)

Signature

(ipasir-bump-activity-vars$a solver vars num-bumps) 
  → 
new-solver

Arguments

solver — Guard (ipasir$a-p solver).

vars — Guard (nat-listp vars).

num-bumps — Guard (natp num-bumps).

Returns

new-solver — Type (ipasir$a-p new-solver).

Definitions and Theorems

Function: ipasir-bump-activity-vars$a

(defun ipasir-bump-activity-vars$a (solver vars num-bumps)
  (declare (xargs :guard (and (ipasir$a-p solver)
                              (nat-listp vars)
                              (natp num-bumps))))
  (declare (xargs :guard (not (equal (ipasir-get-status$a solver)
                                     :undef))))
  (let ((__function__ 'ipasir-bump-activity-vars$a))
    (declare (ignorable __function__))
    (b* (((ipasir$a solver)))
      (change-ipasir$a solver
                       :history (cons (list :bump-activity-vars
                                            vars (lnfix num-bumps))
                                      solver.history)))))

Theorem: ipasir$a-p-of-ipasir-bump-activity-vars$a

(defthm ipasir$a-p-of-ipasir-bump-activity-vars$a
 (b*
  ((new-solver (ipasir-bump-activity-vars$a solver vars num-bumps)))
  (ipasir$a-p new-solver))
 :rule-classes :rewrite)

Theorem: ipasir-bump-activity-vars$a-of-ipasir$a-fix-solver

(defthm ipasir-bump-activity-vars$a-of-ipasir$a-fix-solver
  (equal (ipasir-bump-activity-vars$a (ipasir$a-fix solver)
                                      vars num-bumps)
         (ipasir-bump-activity-vars$a solver vars num-bumps)))

Theorem: ipasir-bump-activity-vars$a-ipasir$a-equiv-congruence-on-solver

(defthm
    ipasir-bump-activity-vars$a-ipasir$a-equiv-congruence-on-solver
 (implies
  (ipasir$a-equiv solver solver-equiv)
  (equal (ipasir-bump-activity-vars$a solver vars num-bumps)
         (ipasir-bump-activity-vars$a solver-equiv vars num-bumps)))
 :rule-classes :congruence)

Theorem: ipasir-bump-activity-vars$a-of-nfix-num-bumps

(defthm ipasir-bump-activity-vars$a-of-nfix-num-bumps
  (equal (ipasir-bump-activity-vars$a solver vars (nfix num-bumps))
         (ipasir-bump-activity-vars$a solver vars num-bumps)))

Theorem: ipasir-bump-activity-vars$a-nat-equiv-congruence-on-num-bumps

(defthm
      ipasir-bump-activity-vars$a-nat-equiv-congruence-on-num-bumps
 (implies
  (nat-equiv num-bumps num-bumps-equiv)
  (equal (ipasir-bump-activity-vars$a solver vars num-bumps)
         (ipasir-bump-activity-vars$a solver vars num-bumps-equiv)))
 :rule-classes :congruence)