Deriving filtering algorithms from constraint checkers

Beldiceanu, Nicolas and Carlsson, Mats and Petit, Thierry (2004) Deriving filtering algorithms from constraint checkers. In: Principles and Practice of Constraint Programming – CP 2004, 10th International Conference, 27 Sept - 1 Oct 2004, Toronto, Canada.

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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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Lecture Notes in Computer Science; 3258, ISBN 978-3-540-23241-4, Extended version available as SICS Tech Report T2004:08
ID Code:2720
Deposited On:21 May 2008
Last Modified:18 Nov 2009 16:13

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