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Codes and Automata

Codes and Automata

Codes and Automata

Jean Berstel , Université de Paris-Est
Dominique Perrin , Université de Paris-Est
Christophe Reutenauer , Université du Québec, Montréal
November 2009
Available
Hardback
9780521888318

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£165.00
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eBook

    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

    Product details

    June 2013
    Adobe eBook Reader
    9781139632973
    0 pages
    0kg
    1 b/w illus. 30 tables 210 exercises
    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.