Computability and Complexity Theory

Homer, Steven (Boston University); Selman, Alan L.

ISBN 10: 1489989714 / ISBN 13: 9781489989710

Verlag: Springer-Verlag New York Inc., 2014

Beschreibung

This book surveys theoretical computer science, presenting fundamental concepts and results. Updated and revised, the new edition includes two new chapters on nonuniform complexity, circuit complexity and parallel complexity, and randomized complexity. Series: Texts in Computer Science. Num Pages: 316 pages, biography. BIC Classification: UMB; UY. Category: (G) General (US: Trade). Dimension: 156 x 235 x 17. Weight in Grams: 448. . 2014. 2 Rev ed. Paperback. . . . .

Bestandsnummer des Verkäufers V9781489989710

Bibliografische Details

• Titel: Computability and Complexity Theory
• Verlag: Springer-Verlag New York Inc.
• Erscheinungsjahr: 2014
• Sprache: Englisch
• ISBN-10: 1489989714
• ISBN-13: 9781489989710
• Einband: Softcover
• Auflage: 2. Auflage
• Zustand: New

Über diesen Titel

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

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.