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Promise and Infinite-Domain Constraint Satisfaction

Author Antoine Mottet

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LIPIcs.CSL.2024.41.pdf
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Subject Classification

ACM Subject Classification
  • Theory of computation → Complexity theory and logic
Keywords
  • promise constraint satisfaction problems
  • polymorphisms
  • homogeneous structures
  • first-order logic

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Abstract

Two particularly active branches of research in constraint satisfaction are the study of promise constraint satisfaction problems (PCSPs) with finite templates and the study of infinite-domain constraint satisfaction problems with ω-categorical templates. In this paper, we explore some connections between these two hitherto unrelated fields and describe a general approach to studying the complexity of PCSPs by constructing suitable infinite CSP templates. As a result, we obtain new characterizations of the power of various classes of algorithms for PCSPs, such as first-order logic, arc consistency reductions, and obtain new proofs of the characterizations of the power of the classical linear and affine relaxations for PCSPs.

Cite As Get BibTex

Antoine Mottet. Promise and Infinite-Domain Constraint Satisfaction. In 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 288, pp. 41:1-41:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.CSL.2024.41

Author Details

Antoine Mottet
  • Hamburg University of Technology, Research Group for Theoretical Computer Science, Germany

References

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