License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2017.47
URN: urn:nbn:de:0030-drops-69850
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/6985/
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Kompatscher, Michael ; Pham, Trung Van

A Complexity Dichotomy for Poset Constraint Satisfaction

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LIPIcs-STACS-2017-47.pdf (0.5 MB)

Abstract

We determine the complexity of all constraint satisfaction problems over partial orders, in particular we show that every such problem is NP-complete or can be solved in polynomial time. This result generalises the complexity dichotomy for temporal constraint satisfaction problems by Bodirsky and Kára. We apply the so called universal-algebraic approach together with tools from model theory and Ramsey theory to prove our result. In the course of this analysis we also establish a structural dichotomy regarding the model theoretic properties of the reducts of the random partial order.

BibTeX - Entry

@InProceedings{kompatscher_et_al:LIPIcs:2017:6985,
  author =	{Michael Kompatscher and Trung Van Pham},
  title =	{{A Complexity Dichotomy for Poset Constraint Satisfaction}},
  booktitle =	{34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
  pages =	{47:1--47:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-028-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{66},
  editor =	{Heribert Vollmer and Brigitte Vallée},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/6985},
  URN =		{urn:nbn:de:0030-drops-69850},
  doi =		{10.4230/LIPIcs.STACS.2017.47},
  annote =	{Keywords: Constraint Satisfaction, Random Partial Order, Computational Complexity, Universal Algebra, Ramsey Theory}
}

Keywords: Constraint Satisfaction, Random Partial Order, Computational Complexity, Universal Algebra, Ramsey Theory
Collection: 34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)
Issue Date: 2017
Date of publication: 06.03.2017

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