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Interfaces

Keccak-512-interface

Keccak-512 is specified in the Keccak web site, in particular `The Keccak Reference' document, Version 3.0.

According to the aforementioned specification, the input of Keccak-512 is a sequence of any number of bits, or any number of bytes.

According to the aforementioned specification, the output of Keccak-512 is a sequence of exactly 512 bits, or 64 bytes.

Definitions and Theorems

Theorem: bit-list-of-keccak-512-bits

(defthm bit-list-of-keccak-512-bits
  (bit-listp (keccak-512-bits bits)))

Theorem: byte-list-of-keccak-512-bytes

(defthm byte-list-of-keccak-512-bytes
  (byte-listp (keccak-512-bytes bytes)))

Theorem: len-of-keccak-512-bits

(defthm len-of-keccak-512-bits
  (equal (len (keccak-512-bits bits))
         512))

Theorem: len-of-keccak-512-bytes

(defthm len-of-keccak-512-bytes
  (equal (len (keccak-512-bytes bytes))
         64))

Theorem: keccak-512-bits-of-bit-list-fix-bits

(defthm keccak-512-bits-of-bit-list-fix-bits
  (equal (keccak-512-bits (acl2::bit-list-fix bits))
         (keccak-512-bits bits)))

Theorem: keccak-512-bits-bit-list-equiv-congruence-on-bits

(defthm keccak-512-bits-bit-list-equiv-congruence-on-bits
  (implies (acl2::bit-list-equiv bits bits-equiv)
           (equal (keccak-512-bits bits)
                  (keccak-512-bits bits-equiv)))
  :rule-classes :congruence)

Theorem: keccak-512-bytes-of-byte-list-fix-bytes

(defthm keccak-512-bytes-of-byte-list-fix-bytes
  (equal (keccak-512-bytes (byte-list-fix bytes))
         (keccak-512-bytes bytes)))

Theorem: keccak-512-bytes-byte-list-equiv-congruence-on-bytes

(defthm keccak-512-bytes-byte-list-equiv-congruence-on-bytes
  (implies (byte-list-equiv bytes bytes-equiv)
           (equal (keccak-512-bytes bytes)
                  (keccak-512-bytes bytes-equiv)))
  :rule-classes :congruence)

Theorem: true-listp-of-keccak-512-bits

(defthm true-listp-of-keccak-512-bits
  (true-listp (keccak-512-bits bits))
  :rule-classes :type-prescription)

Theorem: true-listp-of-keccak-512-bytes

(defthm true-listp-of-keccak-512-bytes
  (true-listp (keccak-512-bytes bytes))
  :rule-classes :type-prescription)

Theorem: consp-of-keccak-512-bits

(defthm consp-of-keccak-512-bits
  (consp (keccak-512-bits bits))
  :rule-classes :type-prescription)

Theorem: consp-of-keccak-512-bytes

(defthm consp-of-keccak-512-bytes
  (consp (keccak-512-bytes bytes))
  :rule-classes :type-prescription)

Theorem: byte-list64p-of-keccak-512-bytes

(defthm byte-list64p-of-keccak-512-bytes
  (byte-list64p (keccak-512-bytes bytes)))