Computational Complexity

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Computational Complexity

By Sanjeev Arora; Boaz Barak

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This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.

Subject: Professional, Career & Trade -> Computer Science -> General Interest

Computational Complexity
A Modern Approach
1st edition
Publisher: Cambridge University Press 4/20/09
Imprint: Cambridge University Press
Language: English

ISBN 10: 1139234757
ISBN 13: 9781139234757
Print ISBN: 9780521424264

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