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

Caterina Viola; Stanislav Zivny

doi:10.1145/3458041

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arXiv · 2007.01779

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

Caterina Viola·Stanislav Zivny

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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).

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Caterina Viola, Stanislav Zivny. 2020-07-03. The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains. https://doi.org/10.1145/3458041

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