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Introduction to the Theory of Computation / Edition 2

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Overview

Michael Sipser's philosophy in writing this book is simple: make the subject interesting and relevant, and the students will learn. His emphasis on unifying computer science theory - rather than offering a collection of low-level details - sets the book apart, as do his intuitive explanations. Throughout the book, Sipser - a noted authority on the theory of computation - builds students' knowledge of conceptual tools used in computer science, the aesthetic sense they need to create elegant systems, and the ability to think through problems on their own. INTRODUCTION TO THE THEORY OF COMPUTATION provides a mathematical treatment of computation theory grounded in theorems and proofs. Proofs are presented with a "proof idea" component to reveal the concepts underpinning the formalism. Algorithms are presented using prose instead of pseudocode to focus attention on the algorithms themselves, rather than on specific computational models. Topic coverage, terminology, and order of presentation are traditional for an upper-level course in computer science theory. Users of the Preliminary Edition (now out of print) will be interested to note several new chapters on complexity theory: Chapter 8 on space complexity; Chapter 9 on provable intractability, and Chapter 10 on advanced topics, including approximation algorithms, alternation, interactive proof systems, cryptography, and parallel computing.
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Editorial Reviews

From the Publisher
"The text meets my objectives very well. The author presents the material in an appealing manner, making a hard subject accessible and intuitive to the students. He manages to do that while maintaining the rigor and formalism that the subject warrants. The book has a lot of information packed in it, and can serve as a reference book for students interested in research in theoretical CS."

"As one of my students puts it, the book is 'fun to read and helps him learn the subject better'."

"This is a model for readability, with sensitivity for what students find difficult."

"Excellent prose (simple and succinct) with very good diagrams. It is by far the best presentation of automata in the business."

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Product Details

  • ISBN-13: 9780534950972
  • Publisher: Cengage Learning
  • Publication date: 2/15/2005
  • Series: Advanced Topics Series
  • Edition description: 2ND
  • Edition number: 2
  • Pages: 456
  • Product dimensions: 6.50 (w) x 9.30 (h) x 0.90 (d)

Meet the Author

Michael Sipser has taught theoretical computer science and mathematics at the Massachusetts Institute of Technology for the past 32 years. He is a Professor of Applied Mathematics, a member of the Computer Science and Artificial Intelligence Laboratory (CSAIL), and the current head of the mathematics department. He enjoys teaching and pondering the many mysteries of complexity theory.

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Table of Contents

Preface
Introduction 1
Pt. 1 Automata and Languages 29
1 Regular Languages 31
2 Context-Free Languages 91
Pt. 2 Computability Theory 123
3 The Church-Turing Thesis 125
4 Decidability 151
5 Reducibility 171
6 Advanced Topics in Computability Theory 197
Pt. 3 Complexity Theory 223
7 Time Complexity 225
8 Space Complexity 277
9 Intractability 305
10 Advanced topics in complexity theory 333
Selected Bibliography 381
Index 387
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