Theory of computational complexity

Front Cover
Wiley, Jan 27, 2000 - Computers - 491 pages
A complete treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of solving algorithmic problems by digital computers. This comprehensive work discusses the major topics in complexity theory, including fundamental topics as well as recent breakthroughs not previously available in book form. Theory of Computational Complexity offers a thorough presentation of the fundamentals of complexity theory, including NP-completeness theory, the polynomial-time hierarchy, relativization, and the application to cryptography. It also examines the theory of nonuniform computational complexity, including the computational models of decision trees and Boolean circuits, and the notion of polynomial-time isomorphism. The theory of probabilistic complexity, which studies complexity issues related to randomized computation as well as interactive proof systems and probabilistically checkable proofs, is also covered. Extraordinary in both its breadth and depth, this volume:
* Provides complete proofs of recent breakthroughs in complexity theory
* Presents results in well-defined form with complete proofs and numerous exercises
* Includes scores of graphs and figures to clarify difficult material
An invaluable resource for researchers as well as an important guide for graduate and advanced undergraduate students, Theory of Computational Complexity is destined to become the standard reference in the field.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

JVFCompleteness
43
The PolynomialTime Hierarchy and Polynomial Space
77
Structure of NP
113
Copyright

9 other sections not shown

Other editions - View all

Common terms and phrases

About the author (2000)

DING-ZHU DU, PhD, is a professor in the Department of Computer Science at the University of Minnesota. KER-I KO, PhD, is a professor in the Department of Computer Science at the State University of New York at Stony Brook.

Bibliographic information