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Functional Correctness Proofs of Encryption Algorithms

  • Jianjun Duan
  • Joe Hurd
  • Guodong Li
  • Scott Owens
  • Konrad Slind
  • Junxing Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3835)

Abstract

We discuss a collection of mechanized formal proofs of symmetric key block encryption algorithms (AES, MARS, Twofish, RC6, Serpent, IDEA, and TEA), performed in an implementation of higher order logic. For each algorithm, functional correctness, namely that decryption inverts encryption, is formally proved by a simple but effective proof methodology involving application of invertibility lemmas in the course of symbolic evaluation. Block ciphers are then lifted to the encryption of arbitrary datatypes by using modes of operation to encrypt lists of bits produced by a polytypic encoding method.

Keywords

Encryption Algorithm Block Cipher Correctness Proof Symbolic Evaluation High Order Logic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jianjun Duan
    • 1
  • Joe Hurd
    • 2
  • Guodong Li
    • 1
  • Scott Owens
    • 1
  • Konrad Slind
    • 1
  • Junxing Zhang
    • 1
  1. 1.School of ComputingUniversity of Utah 
  2. 2.Oxford University Computer Lab 

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