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An algorithm, called '''<math>GAC^w-WSTR</math>''',<ref>C. Lecoutre, N. Paris, O. Roussel, S. Tabary. Propagating Soft Table Constraints. In Proceedings of CP’12, pages 390-405, 2012.</ref> has been proposed to enforce a weak version of the property Generalized Arc Consistency (GAC) on soft constraints defined extensionally by listing tuples and their costs.
This algorithm combine two techniques, namely, '''Simple Tabular Reduction''' ('''STR
16(4):341–371, 2011.</ref> and cost transfer. Values that are no longer consistent with respect to GAC are identify and
minimum costs of values are computed, which is particularly useful for performing efficiently projection operations that are required to establish GAC.
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