Concise Guide to Computation Theory

  • Akira Maruoka

Table of contents

  1. Front Matter
    Pages I-XVII
  2. The Theory of Computation

    1. Front Matter
      Pages 1-1
    2. Akira Maruoka
      Pages 3-11
    3. Akira Maruoka
      Pages 13-32
  3. Automata and Languages

    1. Front Matter
      Pages 33-33
    2. Akira Maruoka
      Pages 35-80
    3. Akira Maruoka
      Pages 81-106
    4. Akira Maruoka
      Pages 107-130
  4. Computability

    1. Front Matter
      Pages 131-131
    2. Akira Maruoka
      Pages 133-159
  5. Complexity of Computation

    1. Front Matter
      Pages 183-183
    2. Akira Maruoka
      Pages 227-238
  6. Conclusions and Exercise Solutions

    1. Front Matter
      Pages 239-239
    2. Akira Maruoka
      Pages 241-270
    3. Akira Maruoka
      Pages 271-272
  7. Back Matter
    Pages 273-281

About this book

Introduction

Computation lies at the heart of modern digital technology and our increasingly advanced information society. The theory of computation describes what tasks can and cannot be computed, and how efficiently the computable tasks can be computed.

This focused and accessible guide/textbook presents a thorough foundation to the theory of computation, whilst also providing a deeper insight for those looking to pursue research in this field. Combining intuitive descriptions and illustrations with rigorous arguments and detailed proofs for key topics, the logically structured discussion guides the reader through the core concepts of automata and languages, computability, and complexity of computation. Self-contained and supported by practical examples, the text is suitable for a one- or two-semester undergraduate course in the theory of computation.

Topics and features:

  • Presents a detailed introduction to the theory of computation, complete with concise explanations of the mathematical prerequisites
  • Provides end-of-chapter problems with solutions, in addition to chapter-opening summaries and numerous examples and definitions throughout the text
  • Draws upon the author’s extensive teaching experience and broad research interests
  • Discusses finite automata, context-free languages, and pushdown automata
  • Examines the concept, universality and limitations of the Turing machine
  • Investigates computational complexity based on Turing machines and Boolean circuits, as well as the notion of NP-completeness

This hands-on and easy-to-read textbook/reference is ideal for undergraduate students of computer science and related disciplines needing to develop a deep understanding of this fascinating field, even if they have no prior knowledge of the subject.

Dr. Akira Maruoka is a professor in the Faculty of Science and Engineering at Ishinomaki Senshu University, Japan.

Authors and affiliations

  • Akira Maruoka
    • 1
  1. 1.Faculty of Science and EngineeringIshinomaki Senshu UniversityIshinomakiJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-535-4
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-0-85729-534-7
  • Online ISBN 978-0-85729-535-4
  • About this book