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

• Objdesign

Objdesign-count

Measure for recurring over objdesign structures.

Signature

(objdesign-count x) → count

Arguments

x — Guard (objdesignp x).

Returns

count — Type (natp count).

Definitions and Theorems

Function: objdesign-count

(defun objdesign-count (x)
  (declare (xargs :guard (objdesignp x)))
  (let ((__function__ 'objdesign-count))
    (declare (ignorable __function__))
    (case (objdesign-kind x)
      (:static 1)
      (:auto 1)
      (:alloc 1)
      (:element (+ 3
                   (objdesign-count (objdesign-element->super x))))
      (:member (+ 3
                  (objdesign-count (objdesign-member->super x)))))))

Theorem: natp-of-objdesign-count

(defthm natp-of-objdesign-count
  (b* ((count (objdesign-count x)))
    (natp count))
  :rule-classes :type-prescription)

Theorem: objdesign-count-of-objdesign-fix-x

(defthm objdesign-count-of-objdesign-fix-x
  (equal (objdesign-count (objdesign-fix x))
         (objdesign-count x)))

Theorem: objdesign-count-objdesign-equiv-congruence-on-x

(defthm objdesign-count-objdesign-equiv-congruence-on-x
  (implies (objdesign-equiv x x-equiv)
           (equal (objdesign-count x)
                  (objdesign-count x-equiv)))
  :rule-classes :congruence)

Theorem: objdesign-count-of-objdesign-element

(defthm objdesign-count-of-objdesign-element
  (implies t
           (< (+ (objdesign-count super))
              (objdesign-count (objdesign-element super index))))
  :rule-classes :linear)

Theorem: objdesign-count-of-objdesign-element->super

(defthm objdesign-count-of-objdesign-element->super
  (implies (equal (objdesign-kind x) :element)
           (< (objdesign-count (objdesign-element->super x))
              (objdesign-count x)))
  :rule-classes :linear)

Theorem: objdesign-count-of-objdesign-member

(defthm objdesign-count-of-objdesign-member
  (implies t
           (< (+ (objdesign-count super))
              (objdesign-count (objdesign-member super name))))
  :rule-classes :linear)

Theorem: objdesign-count-of-objdesign-member->super

(defthm objdesign-count-of-objdesign-member->super
  (implies (equal (objdesign-kind x) :member)
           (< (objdesign-count (objdesign-member->super x))
              (objdesign-count x)))
  :rule-classes :linear)