P, NP, and NP-Completeness: The Basics of Complexity Theory
by Oded Goldreich
Publisher: Cambridge University Press 2010
Number of pages: 190
The focus of this book is on the P-vs-NP Question, which is the most fundamental question of computer science, and on the theory of NP-completeness, which is its most influential theoretical discovery. The book also provides adequate preliminaries regarding computational problems and computational models.
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The book provides an introduction to basic complexity classes, lower bounds on resources required to solve tasks on concrete models such as decision trees or circuits, derandomization and pseudorandomness, proof complexity, quantum computing, etc.
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