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    • Bfr

    Bfr-set-var

    Set the nth BFR variable to some value in an AIG/BDD environment.

    Signature
    (bfr-set-var n val env) → *
    Arguments
    n — Guard (bfr-varname-p n).

    Definitions and Theorems

    Function: bfr-set-var

    (defun bfr-set-var (n val env)
     (declare (xargs :guard (bfr-varname-p n)))
     (let ((__function__ 'bfr-set-var))
      (declare (ignorable __function__))
      (let ((n (bfr-varname-fix n)))
       (bfr-case
          :bdd
          (with-guard-checking nil
                               (ec-call (update-nth n (and val t) env)))
          :aig (hons-acons n (and val t) env)))))

    Theorem: bfr-lookup-bfr-set-var

    (defthm bfr-lookup-bfr-set-var
      (equal (bfr-lookup n (bfr-set-var m val env))
             (if (equal (bfr-varname-fix n)
                        (bfr-varname-fix m))
                 (and val t)
               (bfr-lookup n env))))

    Theorem: bfr-varname-equiv-implies-equal-bfr-set-var-1

    (defthm bfr-varname-equiv-implies-equal-bfr-set-var-1
      (implies (bfr-varname-equiv n n-equiv)
               (equal (bfr-set-var n val env)
                      (bfr-set-var n-equiv val env)))
      :rule-classes (:congruence))