AAAI Publications, Eighth Symposium on Abstraction, Reformulation, and Approximation

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Light Algorithms for Maintaining Max-RPC During Search
Julien Vion, Romuald Debruyne

Last modified: 2009-10-22


This article presents two new algorithms whose purpose is to maintain the Max-RPC domain filtering consistency during search with a minimal memory footprint and implementation effort. Both are sub-optimal algorithms that make use of support residues, a backtrack-stable and highly efficient data structure which was successfully used to develop the state-of-the-art AC-3rm algorithm. The two proposed algorithms, Max-RPCrm and L-Max-RPCrm are competitive with best, optimal Max-RPC algorithms, while being considerably simpler to implement. L-Max-RPCrm computes an approximation of the Max-RPC consistency, which is guaranteed to be strictly stronger than AC with the same space complexity and better worst-case time complexity than Max-RPCrm. In practice, the difference in filtering power between L-Max-RPCrm and standard Max-RPC is nearly indistinguishable on random problems. Max-RPCrm and L-Max-RPCrm are implemented into the Choco Constraint Solver through a strong consistency global constraint. This work opens new perspectives upon the development of strong consistency algorithms into constraint solvers.


strong consistencies;approximation;implementation

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