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On Singleton Arc Consistency for CSPs Defined by Monotone Patterns

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Abstract

Singleton arc consistency is an important type of local consistency which has been recently shown to solve all constraint satisfaction problems (CSPs) over constraint languages of bounded width. We aim to characterise all classes of CSPs defined by a forbidden pattern that are solved by singleton arc consistency and closed under removing constraints. We identify five new patterns whose absence ensures solvability by singleton arc consistency, four of which are provably maximal and three of which generalise 2-SAT. Combined with simple counter-examples for other patterns, we make significant progress towards a complete classification.

BibTeX - Entry

@InProceedings{carbonnel_et_al:LIPIcs:2018:8487,
  author =	{Cl{\'e}ment Carbonnel and David A. Cohen and Martin C. Cooper and Stanislav Zivny},
  title =	{{On Singleton Arc Consistency for CSPs Defined by Monotone Patterns}},
  booktitle =	{35th Symposium on Theoretical Aspects of Computer Science (STACS 2018)},
  pages =	{19:1--19:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-062-0},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{96},
  editor =	{Rolf Niedermeier and Brigitte Vall{\'e}e},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8487},
  URN =		{urn:nbn:de:0030-drops-84876},
  doi =		{10.4230/LIPIcs.STACS.2018.19},
  annote =	{Keywords: constraint satisfaction problems, forbidden patterns, singleton arc consistency}
}

Keywords: constraint satisfaction problems, forbidden patterns, singleton arc consistency
Seminar: 35th Symposium on Theoretical Aspects of Computer Science (STACS 2018)
Issue date: 2018
Date of publication: 2018


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