Deriving Filtering Algorithms from Constraint Checkers

  • Nicolas Beldiceanu
  • Mats Carlsson
  • Thierry Petit
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3258)

Abstract

This article deals with global constraints for which the set of solutions can be recognized by an extended finite automaton whose size is bounded by a polynomial in n, where n is the number of variables of the corresponding global constraint. By reformulating the automaton as a conjunction of signature and transition constraints we show how to systematically obtain a filtering algorithm. Under some restrictions on the signature and transition constraints this filtering algorithm achieves arc-consistency. An implementation based on some constraints as well as on the metaprogramming facilities of SICStus Prolog is available. For a restricted class of automata we provide a filtering algorithm for the relaxed case, where the violation cost is the minimum number of variables to unassign in order to get back to a solution.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Nicolas Beldiceanu
    • 1
  • Mats Carlsson
    • 2
  • Thierry Petit
    • 1
  1. 1.LINA FRE CNRS 2729, École des Mines de NantesNantes Cedex 3France
  2. 2.SICSKistaSweden

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