Название: Computability and Complexity Theory, 2nd Edition
Автор: Steven Homer, Alan L. Selman
Издательство: Springer
Год: 2011
ISBN: 1461406811 / 9781461406815
Серия: Texts in Computer Science
Формат: pdf
Страниц: 300
Размер: 10,4 mb
Язык: English

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 and practical learning tool.