• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
      • Gl
        • Term-level-reasoning
        • Glmc
        • Other-resources
        • Optimization
        • Reference
          • Def-gl-thm
          • Shape-specs
          • Symbolic-objects
          • Gl-aside
          • Def-gl-param-thm
          • Symbolic-arithmetic
          • Bfr
            • Pbfr-depends-on
            • Bfr-varname-p
            • Bfr-varname-fix
            • Bfr-to-param-space
            • Bfr-depends-on
            • Aig-var-fix
            • Bfr-reasoning
            • Bfr-andc2
            • Bfr-andc1
            • Bfr-unparam-env
            • Bfr-set-var
            • Bfr-nor
            • Bfr-nand
            • Bfr-mode
            • Bfr-equiv
            • Bfr-xor
            • Bfr-iff
            • Bfr-eval
            • Bfr-param-env
            • Bfr-lookup
            • Bfr-env-equiv
            • Bfr-and
            • Bfr-var
              • Bfr-or
              • Bfr-not
              • Bfr-ite
              • Bdd-mode-or-p-true
              • Aig-mode-or-p-true
              • Bfr-case
            • Def-gl-boolean-constraint
            • Gl-mbe
            • Bvec
            • Flex-bindings
            • Auto-bindings
            • Gl-interp
            • Gl-set-uninterpreted
            • Def-gl-clause-processor
            • Def-glcp-ctrex-rewrite
            • ACL2::always-equal
            • Gl-hint
            • Def-gl-rewrite
            • Def-gl-branch-merge
            • Gl-force-check
            • Gl-concretize
            • Gl-assert
            • Gl-param-thm
            • Gl-simplify-satlink-mode
            • Gl-satlink-mode
            • Gl-bdd-mode
            • Gl-aig-bddify-mode
            • Gl-fraig-satlink-mode
          • Debugging
          • Basic-tutorial
        • Esim
        • Vl2014
        • Sv
        • Fgl
        • Vwsim
        • Vl
        • X86isa
        • Svl
        • Rtl
      • Software-verification
      • Math
      • Testing-utilities
    • Bfr

    Bfr-var

    Construct the nth BFR variable.

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

    Definitions and Theorems

    Function: bfr-var

    (defun bfr-var (n)
      (declare (xargs :guard (bfr-varname-p n)))
      (let ((__function__ 'bfr-var))
        (declare (ignorable __function__))
        (let ((n (bfr-varname-fix n)))
          (bfr-case :bdd (qv n) :aig n))))

    Theorem: bfr-eval-bfr-var

    (defthm bfr-eval-bfr-var
      (equal (bfr-eval (bfr-var n) env)
             (bfr-lookup n env)))

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

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