Multiset Ordering Constraints

Computer Science – Artificial Intelligence

Scientific paper

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Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI-03)

Scientific paper

We identify a new and important global (or non-binary) constraint. This constraint ensures that the values taken by two vectors of variables, when viewed as multisets, are ordered. This constraint is useful for a number of different applications including breaking symmetry and fuzzy constraint satisfaction. We propose and implement an efficient linear time algorithm for enforcing generalised arc consistency on such a multiset ordering constraint. Experimental results on several problem domains show considerable promise.

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