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Codes and Automata

$136.00 USD

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781139632973

$ 136.00 USD
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About the Authors
  • This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In sum this is a comprehensive reference on the theory of variable-length codes and their relation to automata.

    • Thoroughly updated to reflect developments and results in the field over the last twenty years
    • A self-contained treatment containing complete proofs and over 250 illustrative examples
    • Exercises and solutions allow the reader to test their understanding
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    Product details

    • Date Published: June 2013
    • format: Adobe eBook Reader
    • isbn: 9781139632973
    • contains: 1 b/w illus. 30 tables 210 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Preliminaries
    2. Codes
    3. Prefix codes
    4. Automata
    5. Deciphering delay
    6. Bifix codes
    7. Circular codes
    8. Factorizations of free monoids
    9. Unambiguous monoids of relations
    10. Synchronization
    11. Groups of codes
    12. Factorizations of cyclic groups
    13. Densities
    14. Polynomials of finite codes
    Solutions of exercises
    Appendix: Research problems
    References
    Index of notation
    Index.

  • Authors

    Jean Berstel, Université de Paris-Est
    Jean Berstel is Emeritus Professor of Computer Science at the Institut Gaspard-Monge in the University of Marne-la-Vallée, France.

    Dominique Perrin, Université de Paris-Est
    Dominique Perrin is Professor in Computer Science at the University of Marne-la-Vallée, France, and director of ESIEE Engineering, Paris. He is a member of Academia Europea.

    Christophe Reutenauer, Université du Québec, Montréal
    Christophe Reutenauer is Professor of Mathematics in the Combinatorics and Mathematical Computer Science Laboratory (LaCIM) at the University of Québec, Montréal.

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