• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Community
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
        • R1cs
        • Interfaces
          • Definterface-hmac
          • Definterface-encrypt-block
          • Definterface-hash
          • Definterface-encrypt-init
          • Definterface-pbkdf2
          • Aes-256-cbc-pkcs7-interface
          • Aes-192-cbc-pkcs7-interface
          • Aes-128-cbc-pkcs7-interface
          • Aes-256-interface
          • Aes-192-interface
          • Aes-128-interface
          • Pbkdf2-hmac-sha-512-interface
          • Keccak-256-interface
          • Sha-256-interface
          • Keccak-512-interface
          • Ripemd-160-interface
          • Sha-512-interface
          • Pbkdf2-hmac-sha-256-interface
          • Hmac-sha-512-interface
          • Hmac-sha-256-interface
          • Secp256k1-interface
          • Secp256k1-ecdsa-interface
        • Sha-2
        • Keccak
        • Kdf
        • Mimc
        • Padding
        • Hmac
        • Elliptic-curves
        • Attachments
        • Elliptic-curve-digital-signature-algorithm
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Interfaces

Hmac-sha-512-interface

HMAC-SHA-512 interface.

HMAC stands for keyed-hash message authentication code. It is specified in IETF RFC 2104.

We instantiate HMAC with the SHA-512 hash function, whose block size is 128 bytes and output size is 64 bytes according to FIPS 180-4.

See also:

• HMAC-SHA-512 executable specification
• attaching HMAC-SHA-512 executable specification to this interface

Definitions and Theorems

Theorem: byte-list-of-hmac-sha-512

(defthm byte-list-of-hmac-sha-512
  (byte-listp (hmac-sha-512 key text)))

Theorem: len-of-hmac-sha-512

(defthm len-of-hmac-sha-512
  (equal (len (hmac-sha-512 key text))
         64))

Theorem: hmac-sha-512-of-byte-list-fix-key

(defthm hmac-sha-512-of-byte-list-fix-key
  (equal (hmac-sha-512 (byte-list-fix key) text)
         (hmac-sha-512 key text)))

Theorem: hmac-sha-512-byte-list-equiv-congruence-on-key

(defthm hmac-sha-512-byte-list-equiv-congruence-on-key
  (implies (byte-list-equiv key key-equiv)
           (equal (hmac-sha-512 key text)
                  (hmac-sha-512 key-equiv text)))
  :rule-classes :congruence)

Theorem: hmac-sha-512-of-byte-list-fix-text

(defthm hmac-sha-512-of-byte-list-fix-text
  (equal (hmac-sha-512 key (byte-list-fix text))
         (hmac-sha-512 key text)))

Theorem: hmac-sha-512-byte-list-equiv-congruence-on-text

(defthm hmac-sha-512-byte-list-equiv-congruence-on-text
  (implies (byte-list-equiv text text-equiv)
           (equal (hmac-sha-512 key text)
                  (hmac-sha-512 key text-equiv)))
  :rule-classes :congruence)

Theorem: true-listp-of-hmac-sha-512

(defthm true-listp-of-hmac-sha-512
  (true-listp (hmac-sha-512 key text))
  :rule-classes :type-prescription)

Theorem: consp-of-hmac-sha-512

(defthm consp-of-hmac-sha-512
  (consp (hmac-sha-512 key text))
  :rule-classes :type-prescription)

Theorem: byte-list64p-of-hmac-sha-512

(defthm byte-list64p-of-hmac-sha-512
  (byte-list64p (hmac-sha-512 key text)))