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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)))