Automata and Computability

  • Dexter C. Kozen

Part of the Undergraduate Texts in Computer Science book series (UTCS)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Lectures

    1. Front Matter
      Pages 1-1
    2. Dexter C. Kozen
      Pages 3-6
    3. Dexter C. Kozen
      Pages 7-13
    4. Dexter C. Kozen
      Pages 14-18
    5. Dexter C. Kozen
      Pages 19-24
    6. Dexter C. Kozen
      Pages 25-31
    7. Dexter C. Kozen
      Pages 32-39
    8. Dexter C. Kozen
      Pages 40-43
    9. Dexter C. Kozen
      Pages 44-48
    10. Dexter C. Kozen
      Pages 49-54
    11. Dexter C. Kozen
      Pages 55-60
    12. Dexter C. Kozen
      Pages 61-66
    13. Dexter C. Kozen
      Pages 67-71
    14. Dexter C. Kozen
      Pages 72-76
    15. Dexter C. Kozen
      Pages 77-83
    16. Dexter C. Kozen
      Pages 84-88
    17. Dexter C. Kozen
      Pages 89-94
    18. Dexter C. Kozen
      Pages 95-99
    19. Dexter C. Kozen
      Pages 100-107

About this book

Introduction

The aim of this textbook is to provide undergraduate students with an introduction to the basic theoretical models of computability, and to develop some of the model's rich and varied structure. Students who have already some experience with elementary discrete mathematics will find this a well-paced first course, and a number of supplementary chapters introduce more advanced concepts. The first part of the book is devoted to finite automata and their properties. Pushdown automata provide a broader class of models and enable the analysis of context-free languages. In the remaining chapters, Turing machines are introduced and the book culminates in discussions of effective computability, decidability, and Gödel's incompleteness theorems. Plenty of exercises are provided, ranging from the easy to the challenging. As a result, this text will make an ideal first course for students of computer science.

Keywords

Notation Turing machine algorithm algorithms automata computability grammars regular expressions

Authors and affiliations

  • Dexter C. Kozen
    • 1
  1. 1.Department of Computer ScienceCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1844-9
  • Copyright Information Springer Science+Business Media, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7309-7
  • Online ISBN 978-1-4612-1844-9
  • About this book