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Quantified constraints: Algorithms and complexity

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UNSPECIFIED (2003) Quantified constraints: Algorithms and complexity. In: 12th Annual Conference of the European-Association-for-Computer-Logic/8th Kurt Godel Colloquium/17th International Workshop on Computer Science Logic, AUG 25-30, 2003, VIENNA UNIV TECHNOL, VIENNA, AUSTRIA.

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Abstract

The standard constraint satisfaction problem over an arbitrary finite domain can be expressed as follows: given a first-order sentence consisting of a conjunction of predicates, where all of the variables are existentially quantified, determine whether the sentence is true. This problem can be parameterized by the set of allowed constraint predicates. With each predicate, one can associate certain predicate-preserving operations, called polymorphisms, and the complexity of the parameterized problem is known to be determined by the polymorphisms of the allowed predicates. In this paper we consider a more general framework for constraint satisfaction problems which allows arbitrary quantifiers over constrained variables, rather than just existential quantifiers. We show that the complexity of such extended problems is determined by the surjective polymorphisms of the constraint predicates. We give examples to illustrate how this result can be used to identify tractable and intractable cases for the quantified constraint satisfaction problem over arbitrary finite domains.

Item Type: Conference Item (UNSPECIFIED)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Series Name: LECTURE NOTES IN COMPUTER SCIENCE
Journal or Publication Title: COMPUTER SCIENCE LOGIC, PROCEEDINGS
Publisher: SPRINGER-VERLAG BERLIN
ISBN: 3-540-40801-0
ISSN: 0302-9743
Editor: Baaz, M and Makowsky, JA
Date: 2003
Volume: 2803
Number of Pages: 13
Page Range: pp. 58-70
Publication Status: Published
Title of Event: 12th Annual Conference of the European-Association-for-Computer-Logic/8th Kurt Godel Colloquium/17th International Workshop on Computer Science Logic
Location of Event: VIENNA UNIV TECHNOL, VIENNA, AUSTRIA
Date(s) of Event: AUG 25-30, 2003
URI: http://wrap.warwick.ac.uk/id/eprint/9212

Data sourced from Thomson Reuters' Web of Knowledge

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