• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Std
    • Community
    • Proof-automation
    • Macro-libraries
      • B*
      • Defunc
      • Fty
      • Apt
        • Simplify-defun
        • Isodata
        • Tailrec
        • Schemalg
        • Restrict
        • Expdata
        • Casesplit
        • Simplify-term
          • Simplify-term-examples
          • Simplify-defun-sk
          • Parteval
          • Solve
          • Wrap-output
          • Propagate-iso
          • Simplify
          • Finite-difference
          • Drop-irrelevant-params
          • Copy-function
          • Lift-iso
          • Rename-params
          • Utilities
          • Simplify-term-programmatic
          • Simplify-defun-sk-programmatic
          • Simplify-defun-programmatic
          • Simplify-defun+
          • Common-options
          • Common-concepts
        • Std/util
        • Defdata
        • Defrstobj
        • Seq
        • Match-tree
        • Defrstobj
        • With-supporters
        • Def-partial-measure
        • Template-subst
        • Soft
        • Defthm-domain
        • Event-macros
        • Def-universal-equiv
        • Def-saved-obligs
        • With-supporters-after
        • Definec
        • Sig
        • Outer-local
        • Data-structures
      • ACL2
        • Theories
        • Rule-classes
        • Proof-builder
        • Recursion-and-induction
        • Hons-and-memoization
        • Events
        • Parallelism
        • History
        • Programming
        • Operational-semantics
        • Real
        • Start-here
        • Debugging
        • Miscellaneous
        • Output-controls
        • Macros
          • Make-event
          • Defmacro
          • Untranslate-patterns
          • Tc
          • Trans*
          • Macro-aliases-table
          • Macro-args
          • Defabbrev
          • User-defined-functions-table
          • Trans
          • Untranslate-for-execution
          • Add-macro-fn
          • Check-vars-not-free
          • Safe-mode
          • Macro-libraries
            • B*
            • Defunc
            • Fty
            • Apt
              • Simplify-defun
              • Isodata
              • Tailrec
              • Schemalg
              • Restrict
              • Expdata
              • Casesplit
              • Simplify-term
                • Simplify-term-examples
                • Simplify-defun-sk
                • Parteval
                • Solve
                • Wrap-output
                • Propagate-iso
                • Simplify
                • Finite-difference
                • Drop-irrelevant-params
                • Copy-function
                • Lift-iso
                • Rename-params
                • Utilities
                • Simplify-term-programmatic
                • Simplify-defun-sk-programmatic
                • Simplify-defun-programmatic
                • Simplify-defun+
                • Common-options
                • Common-concepts
              • Std/util
              • Defdata
              • Defrstobj
              • Seq
              • Match-tree
              • Defrstobj
              • With-supporters
              • Def-partial-measure
              • Template-subst
              • Soft
              • Defthm-domain
              • Event-macros
              • Def-universal-equiv
              • Def-saved-obligs
              • With-supporters-after
              • Definec
              • Sig
              • Outer-local
              • Data-structures
            • Trans1
            • Defmacro-untouchable
            • Set-duplicate-keys-action
            • Add-macro-alias
            • Magic-macroexpand
            • Defmacroq
            • Trans!
            • Remove-macro-fn
            • Remove-macro-alias
            • Add-binop
            • Untrans-table
            • Trans*-
            • Remove-binop
            • Tcp
            • Tca
          • Interfacing-tools
        • Interfacing-tools
        • Hardware-verification
        • Software-verification
        • Math
        • Testing-utilities
      • Simplify-term

      Simplify-term-examples

      Examples illustrating simplify-term.

      The examples below are deliberately quite trivial, in order to show how simplify-term behaves with some keyword arguments. For all those examples, we assume that the following event has already been evaluated.

      (defun f (x) (+ 3 -3 (car x)))

      The results in the log below are intended to follow clearly from the keyword arguments supplied in the respective invocations of simplify-term, which we invoke here with simplify.

      ACL2 !>(simplify (f (cons y z))
                       :disable (car-cons)
                       :thm-enable nil)
      (DEFTHMD SIMPLIFY-TERM-THM
               (EQUAL (F (CONS Y Z))
                      (IF (ACL2-NUMBERP (CAR (CONS Y Z)))
                          (CAR (CONS Y Z))
                          0)))
      ACL2 !>(simplify (f (cons y z))
                       :thm-name f1
                       :assumptions ((natp y)))
      (DEFTHM F1 (IMPLIES (NATP Y) (EQUAL (F (CONS Y Z)) Y)))
      ACL2 !>(simplify (f (cons (+ 7 y) z))
                       :thm-name f2
                       :untranslate nil)
      (DEFTHM F2 (EQUAL (F (CONS (+ 7 Y) Z)) (BINARY-+ '7 Y)))
      ACL2 !>