• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Community
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • C
        • Syntax-for-tools
        • Atc
        • Transformation-tools
        • Language
          • Abstract-syntax
          • Integer-ranges
          • Implementation-environments
          • Dynamic-semantics
          • Static-semantics
          • Grammar
          • Types
          • Integer-formats-definitions
          • Computation-states
          • Portable-ascii-identifiers
          • Values
          • Integer-operations
          • Object-designators
            • Objdesign
            • Address
            • Object-disjointp
            • Objdesign-option
            • Objdesign-top
          • Operations
          • Errors
          • Tag-environments
          • Function-environments
          • Character-sets
          • Flexible-array-member-removal
          • Arithmetic-operations
          • Pointer-operations
          • Real-operations
          • Array-operations
          • Scalar-operations
          • Structure-operations
        • Representation
        • Insertion-sort
        • Pack
      • Soft
      • Bv
      • Imp-language
      • Ethereum
      • Event-macros
      • Java
      • Riscv
      • Bitcoin
      • Zcash
      • Yul
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Axe
      • Lists-light
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Object-designators

Objdesign-top

Top object designator of an object designator.

Signature

(objdesign-top objdes) → top-objdes

Arguments

objdes — Guard (objdesignp objdes).

Returns

top-objdes — Type (objdesignp top-objdes).

An element or member object designator denotes a portion of an object designated the super component, which in turn may be a portion of a larger object, and so on. This function returns the topmost object designator.

Definitions and Theorems

Function: objdesign-top

(defun objdesign-top (objdes)
  (declare (xargs :guard (objdesignp objdes)))
  (objdesign-case objdes
                  :static (objdesign-fix objdes)
                  :auto (objdesign-fix objdes)
                  :alloc (objdesign-fix objdes)
                  :element (objdesign-top objdes.super)
                  :member (objdesign-top objdes.super)))

Theorem: objdesignp-of-objdesign-top

(defthm objdesignp-of-objdesign-top
  (b* ((top-objdes (objdesign-top objdes)))
    (objdesignp top-objdes))
  :rule-classes :rewrite)

Theorem: objdesign-kind-of-objdesign-top

(defthm objdesign-kind-of-objdesign-top
  (b* ((?top-objdes (objdesign-top objdes)))
    (member-equal (objdesign-kind top-objdes)
                  '(:static :auto :alloc))))

Theorem: objdesign-top-of-objdesign-fix-objdes

(defthm objdesign-top-of-objdesign-fix-objdes
  (equal (objdesign-top (objdesign-fix objdes))
         (objdesign-top objdes)))

Theorem: objdesign-top-objdesign-equiv-congruence-on-objdes

(defthm objdesign-top-objdesign-equiv-congruence-on-objdes
  (implies (objdesign-equiv objdes objdes-equiv)
           (equal (objdesign-top objdes)
                  (objdesign-top objdes-equiv)))
  :rule-classes :congruence)