A greedy approach to establish singleton arc consistency

  • Authors:
  • Christophe Lecoutre;Stéphane Cardon

  • Affiliations:
  • CRIL, CNRS, Université d'Artois, Lens, France;CRIL, CNRS, Université d'Artois, Lens, France

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

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Abstract

In this paper, we propose a new approach to establish Singleton Arc Consistency (SAC) on constraint networks. While the principle of existing SAC algorithms involves performing a breadth-first search up to a depth equal to 1, the principle of the two algorithms introduced in this paper involves performing several runs of a greedy search (where at each step, arc consistency is maintained). It is then an original illustration of applying inference (i.e. establishing singleton arc consistency) by search. Using a greedy search allows benefiting from the incrementality of arc consistency, learning relevant information from conflicts and, potentially finding solution(s) during the inference process. Further-more, both space and time complexities are quite competitive.