Computational Complexity A Modern Approach By Sanjeev Arora And Boaz Barak
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Computational Complexity
Author: Sanjeev Arora
language: en
Publisher: Cambridge University Press
Release Date: 2009-04-20
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.
Computability and Complexity
A clear, comprehensive, and rigorous introduction to the theory of computation. What is computable? What leads to efficiency in computation? Computability and Complexity offers a clear, comprehensive, and rigorous introduction to the mathematical study of the capabilities and limitations of computation. Hubie Chen covers the core notions, techniques, methods, and questions of the theory of computation before turning to several advanced topics. Emphasizing intuitive learning and conceptual discussion, this textbook’s accessible approach offers a robust foundation for understanding both the reach and restrictions of algorithms and computers. Extensive exercises and diagrams enhance streamlined, student-friendly presentation of mathematically rigorous material Includes thorough treatment of automata theory, computability theory, and complexity theory—including the P versus NP question and the theory of NP-completeness Suitable for undergraduate and graduate students, researchers, and professionals
Theory of Computation: A Formula Handbook
"Theory of Computation: A Formula Handbook" is a comprehensive yet succinct guide that distills the intricate principles of computational theory into clear and accessible formulas. Covering key topics such as automata theory, formal languages, computability, and complexity theory, this handbook equips students, researchers, and professionals with the essential tools for understanding and analyzing computational problems. Whether you're delving into the foundations of computer science or exploring advanced theoretical concepts, this book provides a valuable reference for navigating the diverse landscape of computational theory with ease and confidence.