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عنوان
Theory of computational complexity /

پدید آورنده
Ding-Zhu Du, Department of Computer Science, University of Texas at Dallas, Ann Arbor, MI, Ker-I Ko, Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY

موضوع
Computational complexity.

رده
QA267
.
7
.
D8
2014eb

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
1118593030
(Number (ISBN
1118594975
(Number (ISBN
1118595092
(Number (ISBN
9781118593035
(Number (ISBN
9781118594971
(Number (ISBN
9781118595091
Erroneous ISBN
1118306082
Erroneous ISBN
9781118306086

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Theory of computational complexity /
General Material Designation
[Book]
First Statement of Responsibility
Ding-Zhu Du, Department of Computer Science, University of Texas at Dallas, Ann Arbor, MI, Ker-I Ko, Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY

EDITION STATEMENT

Edition Statement
Second edition

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource (xv, 494 pages)

SERIES

Series Title
Wiley Series in Discrete Mathematics and Optimization

GENERAL NOTES

Text of Note
Historical Notes

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references and index

CONTENTS NOTE

Text of Note
Cover; Title Page; Contents; Preface; Notes on the Second Edition; Part I Uniform Complexity; Chapter 1 Models of Computation and Complexity Classes; 1.1 Strings, Coding, and Boolean Functions; 1.2 Deterministic Turing Machines; 1.3 Nondeterministic Turing Machines; 1.4 Complexity Classes; 1.5 Universal Turing Machine; 1.6 Diagonalization; 1.7 Simulation; Exercises; Historical Notes; Chapter 2 NP-Completeness; 2.1 NP; 2.2 Cook's Theorem; 2.3 More NP-Complete Problems; 2.4 Polynomial-Time Turing Reducibility; 2.5 NP-Complete Optimization Problems; Exercises; Historical Notes
Text of Note
8.8 Relativized Probabilistic Complexity ClassesExercises; Historical Notes; Chapter 9 Complexity of Counting; 9.1 Counting Class #P; 9.2 #P-Complete Problems; 9.3 oplus P and the Polynomial-Time Hierarchy; 9.4 #P and the Polynomial-Time Hierarchy; 9.5 Circuit Complexity and Relativized oplus P and #P; 9.6 Relativized Polynomial-Time Hierarchy; Exercises; Historical Notes; Chapter 10 Interactive Proof Systems; 10.1 Examples and Definitions; 10.2 Arthur-Merlin Proof Systems; 10.3 AM Hierarchy Versus Polynomial-Time Hierarchy; 10.4 IP Versus AM; 10.5 IP Versus PSPACE; Exercises
Text of Note
Chapter 3 The Polynomial-Time Hierarchy and Polynomial Space3.1 Nondeterministic Oracle Turing Machines; 3.2 Polynomial-Time Hierarchy; 3.3 Complete Problems in PH; 3.4 Alternating Turing Machines; 3.5 PSPACE-Complete Problems; 3.6 EXP-Complete Problems; Exercises; Historical Notes; Chapter 4 Structure of NP; 4.1 Incomplete Problems in NP; 4.2 One-Way Functions and Cryptography; 4.3 Relativization; 4.4 Unrelativizable Proof Techniques; 4.5 Independence Results; 4.6 Positive Relativization; 4.7 Random Oracles; 4.8 Structure of Relativized NP; Exercises; Historical Notes
Text of Note
Chapter 7 Polynomial-Time Isomorphism7.1 Polynomial-Time Isomorphism; 7.2 Paddability; 7.3 Density of NP-Complete Sets; 7.4 Density of EXP-Complete Sets; 7.5 One-Way Functions and Isomorphism in EXP; 7.6 Density of P-Complete Sets; Exercises; Historical Notes; Part III Probabilistic Complexity; Chapter 8 Probabilistic Machines and Complexity Classes; 8.1 Randomized Algorithms; 8.2 Probabilistic Turing Machines; 8.3 Time Complexity of Probabilistic Turing Machines; 8.4 Probabilistic Machines with Bounded Errors; 8.5 BPP and P; 8.6 BPP and NP; 8.7 BPP and the Polynomial-Time Hierarchy
Text of Note
Part II Nonuniform ComplexityChapter 5 Decision Trees; 5.1 Graphs and Decision Trees; 5.2 Examples; 5.3 Algebraic Criterion; 5.4 Monotone Graph Properties; 5.5 Topological Criterion; 5.6 Applications of the Fixed Point Theorems; 5.7 Applications of Permutation Groups; 5.8 Randomized Decision Trees; 5.9 Branching Programs; Exercises; Historical Notes; Chapter 6 Circuit Complexity; 6.1 Boolean Circuits; 6.2 Polynomial-Size Circuits; 6.3 Monotone Circuits; 6.4 Circuits with Modulo Gates; 6.5 NC; 6.6 Parity Function; 6.7 P-Completeness; 6.8 Random Circuits and RNC; Exercises; Historical Notes
0
8
8
8
8

SUMMARY OR ABSTRACT

Text of Note
Praise for the First Edition "" ... complete, up-to-date coverage of computational complexity theory ... the book promises to become the standard reference on computational complexity.""--Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers' feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of

ACQUISITION INFORMATION NOTE

Source for Acquisition/Subscription Address
Safari Books Online
Stock Number
CL0500000480

OTHER EDITION IN ANOTHER MEDIUM

Title
Theory of computational complexity.
International Standard Book Number
9781118306086

TOPICAL NAME USED AS SUBJECT

Computational complexity.

(SUBJECT CATEGORY (Provisional

MAT-- 000000

DEWEY DECIMAL CLASSIFICATION

Number
511
.
3/52
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA267
.
7
Book number
.
D8
2014eb

PERSONAL NAME - PRIMARY RESPONSIBILITY

Du, Dingzhu

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Ko, Ker-I

CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY

Ohio Library and Information Network.

ORIGINATING SOURCE

Date of Transaction
20141125090444.0
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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