Journal article
On singleton arc consistency for CSPs defined by monotone patterns
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.4MB, Terms of use)
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- Publisher copy:
- 10.1007/s00453-018-0498-2
Authors
+ Royal Society
More from this funder
- Funding agency for:
- Zivny, S
- Grant:
- University Research Fellowship UF120013
+ Agence nationale de la recherche
More from this funder
- Grant:
- ANR-11-LABX-0040-CIMI within the program ANR-11-IDEX-0002-02
- Publisher:
- Springer US
- Journal:
- Algorithmica More from this journal
- Volume:
- 81
- Issue:
- 4
- Pages:
- 1699–1727
- Publication date:
- 2018-08-13
- Acceptance date:
- 2018-08-02
- DOI:
- EISSN:
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1432-0541
- ISSN:
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0178-4617
- Keywords:
- Pubs id:
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pubs:892209
- UUID:
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uuid:14d312ed-e35b-4e10-8c55-068b750604dd
- Local pid:
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pubs:892209
- Source identifiers:
-
892209
- Deposit date:
-
2018-08-02
Terms of use
- Copyright holder:
- Carbonnel et al
- Copyright date:
- 2018
- Notes:
-
Copyright © 2018 The Authors.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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