We show that some common and important global constraints like ALL-DIFFERENT and GCC can be decomposed into simple arithmetic constraints on which we achieve bound or range consistency, and in some cases even greater pruning. These decompositions can be easily added to new solvers. They also provide other constraints with access to the state of the propagator by sharing of variables. Such sharing can be used to improve propagation between constraints. We report experiments with our decomposition in a pseudo-Boolean solver.
Decompositions of ALL-DIFFERENT into simple arithmetic constraints such that bound and range consistency can be achieved were proposed in REF .
Decompositions of All Different, Global Cardinality and Related Constraints
IJCAI-2009
Computer Science