Existential arc consistency: getting closer to full arc consistency in weighted CSPs

  • Authors:
  • Simon de Givry;Matthias Zytnicki;Federico Heras;Javier Larrosa

  • Affiliations:
  • INRA, Toulouse, France;INRA, Toulouse, France;LSI, UPC, Barcelona, Spain;LSI, UPC, Barcelona, Spain

  • Venue:
  • IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
  • Year:
  • 2005

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Abstract

The weighted CSP framework is a soft constraint framework with a wide range of applications. Most current state-of-the-art complete solvers can be described as a basic depth-first branch and bound search that maintain some form of arc consistency during the search. In this paper we introduce a new stronger form of arc consistency, that we call existential directional arc consistency and we provide an algorithm to enforce it. The efficiency of the algorithm is empirically demonstrated in a variety of domains.