The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains
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 gene...
| Main Authors: | , |
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| Format: | Conference item |
| Language: | English |
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Schloss Dagstuhl
2020
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| _version_ | 1797051556215914496 |
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| author | Viola, C Zivny, S |
| author_facet | Viola, C Zivny, S |
| author_sort | Viola, C |
| collection | OXFORD |
| description | 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). |
| first_indexed | 2024-03-06T18:21:10Z |
| format | Conference item |
| id | oxford-uuid:0658d58e-a0f1-48a4-9cfc-c7210ac42d76 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:21:10Z |
| publishDate | 2020 |
| publisher | Schloss Dagstuhl |
| record_format | dspace |
| spelling | oxford-uuid:0658d58e-a0f1-48a4-9cfc-c7210ac42d762022-03-26T09:02:03ZThe combined basic LP and affine IP relaxation for promise VCSPs on infinite domainsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:0658d58e-a0f1-48a4-9cfc-c7210ac42d76EnglishSymplectic ElementsSchloss Dagstuhl2020Viola, CZivny, SConvex 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). |
| spellingShingle | Viola, C Zivny, S The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title | The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title_full | The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title_fullStr | The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title_full_unstemmed | The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title_short | The combined basic LP and affine IP relaxation for promise VCSPs on infinite domains |
| title_sort | combined basic lp and affine ip relaxation for promise vcsps on infinite domains |
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