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Interfaces

Pbkdf2-hmac-sha-256-interface

PBKDF2 HMAC-SHA-256 interface.

We instantiate PBKDF2 with HMAC-SHA-256.

Definitions and Theorems

Theorem: byte-list-of-pbkdf2-hmac-sha-256

(defthm byte-list-of-pbkdf2-hmac-sha-256
 (byte-listp (pbkdf2-hmac-sha-256 password salt iterations length)))

Theorem: len-of-pbkdf2-hmac-sha-256

(defthm len-of-pbkdf2-hmac-sha-256
  (equal (len (pbkdf2-hmac-sha-256 password salt iterations length))
         (pos-fix length)))

Theorem: pbkdf2-hmac-sha-256-of-byte-list-fix-password

(defthm pbkdf2-hmac-sha-256-of-byte-list-fix-password
  (equal (pbkdf2-hmac-sha-256 (byte-list-fix password)
                              salt iterations length)
         (pbkdf2-hmac-sha-256 password salt iterations length)))

Theorem: pbkdf2-hmac-sha-256-byte-list-equiv-congruence-on-password

(defthm pbkdf2-hmac-sha-256-byte-list-equiv-congruence-on-password
 (implies
  (byte-list-equiv password password-equiv)
  (equal
       (pbkdf2-hmac-sha-256 password salt iterations length)
       (pbkdf2-hmac-sha-256 password-equiv salt iterations length)))
 :rule-classes :congruence)

Theorem: pbkdf2-hmac-sha-256-of-byte-list-fix-salt

(defthm pbkdf2-hmac-sha-256-of-byte-list-fix-salt
  (equal (pbkdf2-hmac-sha-256 password (byte-list-fix salt)
                              iterations length)
         (pbkdf2-hmac-sha-256 password salt iterations length)))

Theorem: pbkdf2-hmac-sha-256-byte-list-equiv-congruence-on-salt

(defthm pbkdf2-hmac-sha-256-byte-list-equiv-congruence-on-salt
 (implies
  (byte-list-equiv salt salt-equiv)
  (equal
       (pbkdf2-hmac-sha-256 password salt iterations length)
       (pbkdf2-hmac-sha-256 password salt-equiv iterations length)))
 :rule-classes :congruence)

Theorem: pbkdf2-hmac-sha-256-of-pos-fix-iterations

(defthm pbkdf2-hmac-sha-256-of-pos-fix-iterations
  (equal (pbkdf2-hmac-sha-256 password salt (pos-fix iterations)
                              length)
         (pbkdf2-hmac-sha-256 password salt iterations length)))

Theorem: pbkdf2-hmac-sha-256-pos-equiv-congruence-on-iterations

(defthm pbkdf2-hmac-sha-256-pos-equiv-congruence-on-iterations
 (implies
  (acl2::pos-equiv iterations iterations-equiv)
  (equal
       (pbkdf2-hmac-sha-256 password salt iterations length)
       (pbkdf2-hmac-sha-256 password salt iterations-equiv length)))
 :rule-classes :congruence)

Theorem: pbkdf2-hmac-sha-256-of-pos-fix-length

(defthm pbkdf2-hmac-sha-256-of-pos-fix-length
  (equal (pbkdf2-hmac-sha-256 password
                              salt iterations (pos-fix length))
         (pbkdf2-hmac-sha-256 password salt iterations length)))

Theorem: pbkdf2-hmac-sha-256-pos-equiv-congruence-on-length

(defthm pbkdf2-hmac-sha-256-pos-equiv-congruence-on-length
 (implies
  (acl2::pos-equiv length length-equiv)
  (equal
       (pbkdf2-hmac-sha-256 password salt iterations length)
       (pbkdf2-hmac-sha-256 password salt iterations length-equiv)))
 :rule-classes :congruence)

Theorem: true-listp-of-pbkdf2-hmac-sha-256

(defthm true-listp-of-pbkdf2-hmac-sha-256
  (true-listp (pbkdf2-hmac-sha-256 password salt iterations length))
  :rule-classes :type-prescription)

Theorem: consp-of-pbkdf2-hmac-sha-256

(defthm consp-of-pbkdf2-hmac-sha-256
  (consp (pbkdf2-hmac-sha-256 password salt iterations length))
  :rule-classes :type-prescription)