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The Complexity of Constraint Satisfaction Problems (Invited Talk)

Author Manuel Bodirsky

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Keywords
  • constraint satisfaction
  • universal algebra
  • model theory
  • clones
  • temporal and spatial reasoning

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Abstract

The tractability conjecture for constraint satisfaction problems (CSPs) 
describes the constraint languages over a finite domain whose CSP can be solved in polynomial-time. The precise formulation of the conjecture 
uses basic notions from universal algebra. In this talk, we give a short introduction to the universal-algebraic approach to the study of the complexity of CSPs. Finally, we discuss attempts to generalise the tractability conjecture to large classes of constraint languages over infinite  domains, in particular for constraint languages that arise in qualitative temporal and spatial reasoning.

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Manuel Bodirsky. The Complexity of Constraint Satisfaction Problems (Invited Talk). In 32nd International Symposium on Theoretical Aspects of Computer Science (STACS 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 30, pp. 2-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015) https://doi.org/10.4230/LIPIcs.STACS.2015.2

Author Details

Manuel Bodirsky

References

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