NDLI: Strong local consistency algorithms for table constraints

Content Provider	Springer Nature Link
Author	Paparrizou, Anastasia Stergiou, Kostas
Copyright Year	2015
Abstract	Table constraints are important in constraint programming as they are present in many real problems from areas such as configuration and databases. As a result, numerous specialized algorithms that achieve generalized arc consistency (GAC) on table constraints have been proposed. Since these algorithms achieve GAC, they operate on one constraint at a time. In this paper we propose new filtering algorithms for positive table constraints that achieve stronger local consistency properties than GAC by exploiting intersections between constraints. The first algorithm, called maxRPWC+, is a domain filtering algorithm that is based on the local consistency maxRPWC and extends the GAC algorithm of Lecoutre and Szymanek (2006). The second algorithm extends the state-of-the-art STR-based algorithms to stronger relation filtering consistencies, i.e., consistencies that can remove tuples from constraints’ relations. Experimental results from benchmark problems demonstrate that the proposed algorithms are quite competitive with standard GAC algorithms like STR2 in some classes of problems with intersecting table constraints, being orders of magnitude faster in some cases.
Starting Page	163
Ending Page	197
Page Count	35
File Format	PDF
ISSN	13837133
Journal	Constraints
Volume Number	21
Issue Number	2
e-ISSN	15729354
Language	English
Publisher	Springer US
Publisher Date	2015-01-30
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Table constraints Strong local consistencies Relational consistencies Artificial Intelligence (incl. Robotics) Optimization Computing Methodologies Operation Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Artificial Intelligence Computational Theory and Mathematics Software

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