Computational Complexity

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Addison-Wesley, 1994 - Computers - 523 pages
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This new text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are: reductions and NP-completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others.

Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self-contained, in that it develops all necessary mathematical prerequisites from such diverse field as computability, logic, number theory, combinatorics, and probability.Features

  • First unified introduction to computational complexity.
  • Integrates computation, applications, and logic throughout.
  • Provides an accessible introduction to logic, including Boolean logic, first-order logic, and second-order logic.
  • Includes extensive exercises including historical notes, references, and challeging problems.

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Review: Computational Complexity

User Review  - DJ - Goodreads

recommended by Scott Aaronson as a conceptual intro to complexity Read full review

Review: Computational Complexity

User Review  - DJ - Goodreads

recommended by Scott Aaronson as a conceptual intro to complexity Read full review

Contents

ALGORITHMS
1
Turing machines
19
Computability
57
Copyright

19 other sections not shown

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About the author (1994)

Christos H. Papadimitriou is C. Lester Hogan Professor of Computer Science at the University of California, Berkeley and a member of the National Academy of Engineering and the American Academy of Arts and Sciences. He is the author of many books on computational theory.

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