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The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains

Abstract:
Convex relaxations have been instrumental in solvability of constraint satisfaction problems (CSPs), as well as in the three different generalisations of CSPs: valued CSPs, infinite-domain CSPs, and most recently promise CSPs. In this work, we extend an existing tractability result to the three generalisations of CSPs combined: We give a sufficient condition for the combined basic linear programming and affine integer programming relaxation for exact solvability of promise valued CSPs over infinite-domains. This extends a result of Brakensiek and Guruswami [SODA'20] for promise (non-valued) CSPs (on finite domains).
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.MFCS.2020.85

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0002-0263-159X


Publisher:
Schloss Dagstuhl
Volume:
170
Series:
LIPIcs
Publication date:
2020-08-18
Acceptance date:
2020-06-29
Event title:
45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)
Event website:
http://mfcs.mff.cuni.cz/2020/
Event start date:
2020-08-24
Event end date:
2020-08-28
DOI:
ISSN:
1868-8969
ISBN:
9783959771597


Language:
English
Keywords:
Pubs id:
1115231
Local pid:
pubs:1115231
Deposit date:
2020-06-30

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