Complexity of Constraints

by Creignou, Nadia; Kolaitis, Phokion G.; Vollmer, Heribert

• ISBN13: 9783540927990
• ISBN10: 3540927999
• Format: Paperback
• Copyright: 2009-01-01
• Publisher: Springer-Verlag New York Inc

Summary

Nowadays constraint satisfaction problems (CSPs) are ubiquitous in many different areas of computer science, from artificial intelligence and database systems to circuit design, network optimization, and theory of programming languages. Consequently, it is important to analyze and pinpoint the computational complexity of certain algorithmic tasks related to constraint satisfaction. The complexity-theoretic results of these tasks may have a direct impact on, for instance, the design and processing of database query languages, or strategies in data-mining, or the design and implementation of planners.This state-of-the-art survey contains the papers that were invited by the organizers after conclusion of an International Dagstuhl-Seminar on Complexity of Constraints, held in Dagstuhl Castle, Germany, in October 2006. A number of speakers were solicited to write surveys presenting the state of the art in their area of expertise. These contributions were peer-reviewed by experts in the field and revised before they were collated to the 9 papers of this volume. In addition, the volume contains a reprint of a survey by Kolaitis and Vardi on the logical approach to constraint satisfaction that first appeared in 'Finite Model Theory and its Applications', published by Springer in 2007.

Table of Contents

Introduction	p. 1
Boolean Constraint Satisfaction Problems: When Does Post's Lattice Help?	p. 3
Basics of Galois Connections	p. 38
Recent Results on the Algebraic Approach to the CSP	p. 68
Dualities for Constraint Satisfaction Problems	p. 93
A Logical Approach to Constraint Satisfaction	p. 125
Uniform Constraint Satisfaction Problems and Database Theory	p. 156
Constraint Satisfaction Problems with Infinite Templates	p. 196
Partial Polymorphisms and Constraint Satisfaction Problems	p. 229
Introduction to the Maximum Solution Problem	p. 255
Present and Future of Practical SAT Solving	p. 283
Author Index	p. 321
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