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Filtering algorithms for the same and UseBy constraints

Beldiceanu N., Katriel I., Thiel S.

Archives of Control Sciences

2006

Vol. 16, no. 2

191-220

We define the same and UsedBy constraints. UsedBy takes two sets of variables X and Z such that X≥Z and assigns values to them such that the multiset of values assigned to the variables in Z is contained in the multiset of values assigned to the variables in X. Same is the special case of UsedBy in which X=Z. We show algorithms that achieve arc-consistency and bound-consistency for these constraints.