Inhaltsangabe
This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, and relative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes:
- a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp─Lipton.
- a chapter studying properties of the fundamental probabilistic complexity classes
- a study of the alternating Turing machine and uniform circuit classes.
- an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Toda
- a thorough treatment of the proof that IP is identical to PSPACE
With its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential andpractical learning tool.
Topics and features:
- Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classes
- Contains information that otherwise exists only in research literature and presents it in a unified, simplified manner
- Provides key mathematical background information, including sections on logic and number theory and algebra
- Supported by numerous exercises and supplementary problems for reinforcement and self-study purposes
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Computability and Complexity Theory
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Springer US, Springer New York Dez 2011, 2011
ISBN 10: 1461406811
ISBN 13: 9781461406815
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Buch. Zustand: Neu. Neuware -This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, andrelative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes:a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp¿Lipton.a chapter studying properties of the fundamental probabilistic complexity classesa study of the alternating Turing machine and uniform circuit classes.an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Todaa thorough treatment of the proof that IP is identical to PSPACEWith its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential andpractical learning tool.Topics and features: Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classesContains information that otherwise exists only in research literature and presents it in a unified, simplified mannerProvides key mathematical background information, including sections on logic and number theory and algebraSupported by numerous exercises and supplementary problems for reinforcement and self-study purposesSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 316 pp. Englisch. Artikel-Nr. 9781461406815
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, and relative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes:a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp Lipton.a chapter studying properties of the fundamental probabilistic complexity classesa study of the alternating Turing machine and uniform circuit classes. an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Todaa thorough treatment of the proof that IP is identical to PSPACE With its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential andpractical learning tool. Topics and features: Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classes Contains information that otherwise exists only in research literature and presents it in a unified, simplified mannerProvides key mathematical background information, including sections on logic and number theory and algebra Supported by numerous exercises and supplementary problems for reinforcement and self-study purposes. Artikel-Nr. 9781461406815
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