License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2021.11
URN: urn:nbn:de:0030-drops-144519
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14451/
Go to the corresponding LIPIcs Volume Portal

Asimi, Kristina ; Barto, Libor

Finitely Tractable Promise Constraint Satisfaction Problems

pdf-format:
LIPIcs-MFCS-2021-11.pdf (0.7 MB)

Abstract

The Promise Constraint Satisfaction Problem (PCSP) is a generalization of the Constraint Satisfaction Problem (CSP) that includes approximation variants of satisfiability and graph coloring problems. Barto [LICS '19] has shown that a specific PCSP, the problem to find a valid Not-All-Equal solution to a 1-in-3-SAT instance, is not finitely tractable in that it can be solved by a trivial reduction to a tractable CSP, but such a CSP is necessarily over an infinite domain (unless P=NP). We initiate a systematic study of this phenomenon by giving a general necessary condition for finite tractability and characterizing finite tractability within a class of templates - the "basic" tractable cases in the dichotomy theorem for symmetric Boolean PCSPs allowing negations by Brakensiek and Guruswami [SODA'18].

BibTeX - Entry

@InProceedings{asimi_et_al:LIPIcs.MFCS.2021.11,
  author =	{Asimi, Kristina and Barto, Libor},
  title =	{{Finitely Tractable Promise Constraint Satisfaction Problems}},
  booktitle =	{46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
  pages =	{11:1--11:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-201-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{202},
  editor =	{Bonchi, Filippo and Puglisi, Simon J.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/14451},
  URN =		{urn:nbn:de:0030-drops-144519},
  doi =		{10.4230/LIPIcs.MFCS.2021.11},
  annote =	{Keywords: Constraint satisfaction problems, promise constraint satisfaction, Boolean PCSP, polymorphism, finite tractability, homomorphic relaxation}
}

Keywords: Constraint satisfaction problems, promise constraint satisfaction, Boolean PCSP, polymorphism, finite tractability, homomorphic relaxation
Collection: 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)
Issue Date: 2021
Date of publication: 18.08.2021

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI