Дискретная математика
Математика
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Creignou N., Kolaitis P.G., Vollmer H. (eds.) Complexity of Constraints. An Overview of Current Research Themes
Издательство Springer, 2008, -326 pp.

In October 2006, the editors of this volume organized a Dagstuhl Seminar on Complexity of Constraints at the Schloss Dagstuhl Leibniz Center for Informatics inWade, Germany. This event consisted of both invited and contributed talks by some of the approximately 40 participants, as well as problem sessions and informal discussions. After the conclusion of the seminar, the organizers invited a number of speakers to write surveys presenting the state-of-the-art knowledge in their area of expertise. These contributions were peer-reviewed by experts in the field and revised before they were included in this volume. In addition, this volume contains a reprint of a survey by P.G. Kolaitis and M.Y. Vardi on the logical approach to constraint satisfaction that first appeared in Finite Model Theory and Its Applications, (Springer 2007).
We thank the Directorate of Schloss Dagtuhl for its support, the speakers of the seminar for making it a successful event, and, above all, the contributors to this volume for their informative and well-written surveys. We also thank Ae Meier for technical assistance during the final compilation of this book, and Alfred Hofmann at Springer for his support and guidance.

Introduction
Boolean Constraint Satisfaction Problems: When Does Post’s Lattice Help?
Basics of Galois Connections
Recent Results on the Algebraic Approach to the CSP
Dualities for Constraint Satisfaction Problems
A Logical Approach to Constraint Satisfaction
Uniform Constraint Satisfaction Problems and Database Theory
Constraint Satisfaction Problems with Infinite Templates
Partial Polymorphisms and Constraint Satisfaction Problems
Introduction to the Maximum Solution Problem
Present and Future of Practical SAT Solving
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