• Top
  • Documentation
  • Books
  • Boolean-reasoning
    • Ipasir
    • Aignet
      • Base-api
      • Aignet-construction
      • Representation
      • Aignet-copy-init
      • Aignet-simplify-with-tracking
      • Aignet-simplify-marked-with-tracking
      • Aignet-cnf
      • Aignet-simplify-marked
      • Aignet-complete-copy
      • Aignet-transforms
        • Aignet-output-ranges
        • Aignet-comb-transforms
          • Fraig
          • Parametrize
          • Observability-fix
          • Constprop
          • Apply-m-assumption-n-output-output-transform-default
          • Balance
          • Apply-n-output-comb-transform-default
          • Apply-comb-transform-default
          • Obs-constprop
            • Obs-constprop-config
              • Obs-constprop-config-fix
              • Obs-constprop-config-equiv
              • Make-obs-constprop-config
              • Obs-constprop-config->obs-hyp-max-size
              • Obs-constprop-config->obs-concl-min-size
              • Obs-constprop-config->constprop-iterations
              • Obs-constprop-config->obs-min-ratio
              • Obs-constprop-config->gatesimp
              • Change-obs-constprop-config
              • Obs-constprop-config-p
            • Obs-constprop!
          • Rewrite
          • Comb-transform
          • Abc-comb-simplify
          • Prune
          • Rewrite!
          • M-assumption-n-output-comb-transform->name
          • N-output-comb-transform->name
          • Comb-transform->name
          • N-output-comb-transformlist
          • M-assumption-n-output-comb-transformlist
          • Comb-transformlist
          • Apply-comb-transform
        • Aignet-m-assumption-n-output-transforms
        • Aignet-n-output-comb-transforms
      • Aignet-eval
      • Semantics
      • Aignet-read-aiger
      • Aignet-write-aiger
      • Aignet-abc-interface
      • Utilities
    • Aig
    • Satlink
    • Truth
    • Ubdds
    • Bdd
    • Faig
    • Bed
    • 4v
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Obs-constprop-config

Obs-constprop-config-fix

Fixing function for obs-constprop-config structures.

Signature

(obs-constprop-config-fix x) → new-x

Arguments

x — Guard (obs-constprop-config-p x).

Returns

new-x — Type (obs-constprop-config-p new-x).

Definitions and Theorems

Function: obs-constprop-config-fix$inline

(defun obs-constprop-config-fix$inline (x)
 (declare (xargs :guard (obs-constprop-config-p x)))
 (let ((__function__ 'obs-constprop-config-fix))
  (declare (ignorable __function__))
  (mbe
    :logic
    (b* ((gatesimp (gatesimp-fix (cdr (std::da-nth 0 (cdr x)))))
         (constprop-iterations (nfix (cdr (std::da-nth 1 (cdr x)))))
         (obs-hyp-max-size
              (acl2::maybe-natp-fix (cdr (std::da-nth 2 (cdr x)))))
         (obs-concl-min-size
              (acl2::maybe-natp-fix (cdr (std::da-nth 3 (cdr x)))))
         (obs-min-ratio (rfix (cdr (std::da-nth 4 (cdr x))))))
      (cons :obs-constprop-config
            (list (cons 'gatesimp gatesimp)
                  (cons 'constprop-iterations
                        constprop-iterations)
                  (cons 'obs-hyp-max-size
                        obs-hyp-max-size)
                  (cons 'obs-concl-min-size
                        obs-concl-min-size)
                  (cons 'obs-min-ratio obs-min-ratio))))
    :exec x)))

Theorem: obs-constprop-config-p-of-obs-constprop-config-fix

(defthm obs-constprop-config-p-of-obs-constprop-config-fix
  (b* ((new-x (obs-constprop-config-fix$inline x)))
    (obs-constprop-config-p new-x))
  :rule-classes :rewrite)

Theorem: obs-constprop-config-fix-when-obs-constprop-config-p

(defthm obs-constprop-config-fix-when-obs-constprop-config-p
  (implies (obs-constprop-config-p x)
           (equal (obs-constprop-config-fix x) x)))

Function: obs-constprop-config-equiv$inline

(defun obs-constprop-config-equiv$inline (x acl2::y)
  (declare (xargs :guard (and (obs-constprop-config-p x)
                              (obs-constprop-config-p acl2::y))))
  (equal (obs-constprop-config-fix x)
         (obs-constprop-config-fix acl2::y)))

Theorem: obs-constprop-config-equiv-is-an-equivalence

(defthm obs-constprop-config-equiv-is-an-equivalence
  (and (booleanp (obs-constprop-config-equiv x y))
       (obs-constprop-config-equiv x x)
       (implies (obs-constprop-config-equiv x y)
                (obs-constprop-config-equiv y x))
       (implies (and (obs-constprop-config-equiv x y)
                     (obs-constprop-config-equiv y z))
                (obs-constprop-config-equiv x z)))
  :rule-classes (:equivalence))

Theorem: obs-constprop-config-equiv-implies-equal-obs-constprop-config-fix-1

(defthm
 obs-constprop-config-equiv-implies-equal-obs-constprop-config-fix-1
 (implies (obs-constprop-config-equiv x x-equiv)
          (equal (obs-constprop-config-fix x)
                 (obs-constprop-config-fix x-equiv)))
 :rule-classes (:congruence))

Theorem: obs-constprop-config-fix-under-obs-constprop-config-equiv

(defthm obs-constprop-config-fix-under-obs-constprop-config-equiv
  (obs-constprop-config-equiv (obs-constprop-config-fix x)
                              x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-obs-constprop-config-fix-1-forward-to-obs-constprop-config-equiv

(defthm
 equal-of-obs-constprop-config-fix-1-forward-to-obs-constprop-config-equiv
 (implies (equal (obs-constprop-config-fix x)
                 acl2::y)
          (obs-constprop-config-equiv x acl2::y))
 :rule-classes :forward-chaining)

Theorem: equal-of-obs-constprop-config-fix-2-forward-to-obs-constprop-config-equiv

(defthm
 equal-of-obs-constprop-config-fix-2-forward-to-obs-constprop-config-equiv
 (implies (equal x (obs-constprop-config-fix acl2::y))
          (obs-constprop-config-equiv x acl2::y))
 :rule-classes :forward-chaining)

Theorem: obs-constprop-config-equiv-of-obs-constprop-config-fix-1-forward

(defthm
   obs-constprop-config-equiv-of-obs-constprop-config-fix-1-forward
  (implies (obs-constprop-config-equiv (obs-constprop-config-fix x)
                                       acl2::y)
           (obs-constprop-config-equiv x acl2::y))
  :rule-classes :forward-chaining)

Theorem: obs-constprop-config-equiv-of-obs-constprop-config-fix-2-forward

(defthm
   obs-constprop-config-equiv-of-obs-constprop-config-fix-2-forward
 (implies
   (obs-constprop-config-equiv x (obs-constprop-config-fix acl2::y))
   (obs-constprop-config-equiv x acl2::y))
 :rule-classes :forward-chaining)