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Theory of Computation

  • Dexter C. Kozen

Part of the Texts in Computer Science book series (TCS)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Lectures

    1. Front Matter
      Pages 1-1
    2. Pages 17-21
    3. Pages 44-50
    4. Pages 66-69
    5. Pages 86-89
    6. Pages 99-102
    7. Pages 103-108
    8. Pages 109-112
    9. Pages 124-127
    10. Pages 128-134
    11. Pages 167-170
    12. Pages 171-174
    13. Pages 180-184
    14. Pages 185-191
    15. Pages 204-210
    16. Pages 211-214
    17. Pages 231-235
    18. Pages 236-241
    19. Pages 247-252

About this book

Introduction

In these early years of the 21st Century, researchers in the field of computing are delving ever further into the new possibilities of the science and to the primary tools that form its foundations. The theory behind computation has never been more important.

Theory of Computation is a unique textbook that serves the dual purposes of covering core material in the foundations of computing, as well as providing an introduction to some more advanced contemporary topics. This innovative text focuses primarily, although by no means exclusively, on computational complexity theory: the classification of computational problems in terms of their inherent complexity. It incorporates rigorous treatment of computational models, such as deterministic, nondeterministic, and alternating Turing machines; circuits; probabilistic machines; interactive proof systems; automata on infinite objects; and logical formalisms. Although the complexity universe stops at polynomial space in most treatments, this work also examines higher complexity levels all the way up through primitive and partial recursive functions and the arithmetic and analytic hierarchies.

Topics and features:

• Provides in-depth coverage of both classical and contemporary approaches in one useful, concise volume

• Organized into readily applicable, self-contained primary and secondary lectures

• Contains more than 180 homework exercises of varying difficulty levels, many with hints and solutions

• Includes approximation and inapproximation results, and some lower bounds

• Treats complexity theory and classical recursion theory in a unified framework

Advanced undergraduates and first-year graduates in Computer Science or Mathematics will receive a thorough grounding in the core theory of computation and computational complexity, as well as an introduction to advanced contemporary topics for further study. Computing professionals and other scientists interested in learning more about these topics will also find this text extremely useful.

 Prof. Dexter Kozen teaches at Cornell University, Ithaca, New York, and has comprehensively class-tested this book’s content. He authored the highly successful Automata and Computability, which offers an introduction to the basic theoretical models of computability, and The Design and Analysis of Algorithms.

Keywords

Algorithms Automat algorithm automata complexity complexity theory computer computer science construction logic

Authors and affiliations

  • Dexter C. Kozen
    • 1
  1. 1.Department of Computer ScienceUpson Hall Cornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/1-84628-477-5
  • Copyright Information Springer-Verlag London Limited 2006
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-84628-297-3
  • Online ISBN 978-1-84628-477-9
  • Buy this book on publisher's site