• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Pfcs
      • Wp-gen
      • Dimacs-reader
      • Legacy-defrstobj
      • Proof-checker-array
      • Soft
      • C
      • Farray
      • Rp-rewriter
      • Instant-runoff-voting
      • Imp-language
      • Sidekick
      • Leftist-trees
      • Java
      • Taspi
      • Riscv
      • Bitcoin
      • Des
      • Ethereum
      • X86isa
      • Sha-2
      • Yul
      • Zcash
      • Proof-checker-itp13
      • Regex
      • ACL2-programming-language
        • Primitive-functions
        • Translated-terms
        • Values
          • Value
            • Valuep
            • Value-case
            • Value-fix
            • Value-equiv
            • Value-count
            • Value-cons
            • Value-symbol
            • Value-string
            • Value-number
            • Value-character
            • Value-kind
            • Symbol-value
            • Lower-symbol
            • Lift-symbol-list
            • Symbol-value-option
            • Value-option
            • Lift-value
            • Lift-symbol
            • Value-rational->get
            • Value-integer->get
            • Value-case-rational
            • Value-case-integer
            • Value-symbol-list
            • Lower-value
            • Value-list-of
            • Value-list
            • Symbol-value-list
            • Symbol-value-set
            • Value-t
            • Value-nil
          • Evaluation
          • Program-equivalence
          • Functions
          • Packages
          • Programs
          • Interpreter
          • Evaluation-states
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Poseidon
        • Where-do-i-place-my-book
        • Axe
        • Aleo
        • Bigmems
        • Builtins
        • Execloader
        • Solidity
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Std
      • Community
      • Proof-automation
      • ACL2
      • Macro-libraries
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Math
      • Testing-utilities
    • Value

    Value-kind

    Get the kind (tag) of a value structure.

    Signature
    (value-kind x) → kind
    Arguments
    x — Guard (valuep x).

    Definitions and Theorems

    Function: value-kind$inline

    (defun value-kind$inline (x)
      (declare (xargs :guard (valuep x)))
      (let ((__function__ 'value-kind))
        (declare (ignorable __function__))
        (mbe :logic (cond ((or (atom x) (eq (car x) :number))
                           :number)
                          ((eq (car x) :character) :character)
                          ((eq (car x) :string) :string)
                          ((eq (car x) :symbol) :symbol)
                          (t :cons))
             :exec (car x))))

    Theorem: value-kind-possibilities

    (defthm value-kind-possibilities
      (or (equal (value-kind x) :number)
          (equal (value-kind x) :character)
          (equal (value-kind x) :string)
          (equal (value-kind x) :symbol)
          (equal (value-kind x) :cons))
      :rule-classes
      ((:forward-chaining :trigger-terms ((value-kind x)))))