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The Power of Arc Consistency for CSPs Defined by Partially-Ordered Forbidden Patterns

Cooper, Martin C. and Zivny, Stanislav The Power of Arc Consistency for CSPs Defined by Partially-Ordered Forbidden Patterns. (2016) In: 31st Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2016), 5 July 2016 - 8 July 2016 (New York City, United States).

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Official URL: http://dx.doi.org/10.1145/2933575.2933587

Abstract

Characterising tractable fragments of the constraint satisfaction problem (CSP) is an important challenge in theoretical computer science and artificial intelligence. Forbidding patterns (generic subinstances) provides a means of defining CSP fragments which are neither exclusively language-based nor exclusively structure-based. It is known that the class of binary CSP instances in which the broken-triangle pattern (BTP) does not occur, a class which includes all tree-structured instances, are decided by arc consistency (AC), a ubiquitous reduction operation in constraint solvers. We provide a characterisation of irreducible partially-ordered forbidden patterns which have this AC-solvability property. It turns out that BTP is just one of five such AC-solvable patterns. The four other patterns allow us to exhibit new tractable classes.

Item Type:Conference or Workshop Item (Paper)
Additional Information:The definitive version is available at http://dl.acm.org This papers appears in LICS '16 P31st Annual ACM/IEEE Symposium on Logic in Computer Science ISBN: 978-1-4503-4391-6 The original PDF is available at: https://dl.acm.org/citation.cfm?doid=2933575.2933587
HAL Id:hal-01671341
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Oxford (UNITED KINGDOM)
Laboratory name:
Funders:
EPSRC grant EP/L021226/1 - Royal Society University Research Fellowship
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Deposited By: IRIT IRIT
Deposited On:08 Dec 2017 16:49

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