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Partition search for non-binary constraint satisfaction
Authors:Julian R Ullmann
Affiliation:Department of Computer Science, King’s College London, Strand, London WC2R 2LS, United Kingdom
Abstract:Previous algorithms for unrestricted constraint satisfaction use reduction search, which inferentially removes values from domains in order to prune the backtrack search tree. This paper introduces partition search, which uses an efficient join mechanism instead of removing values from domains. Analytical prediction of quantitative performance of partition search appears to be intractable and evaluation therefore has to be by experimental comparison with reduction search algorithms that represent the state of the art. Instead of working only with available reduction search algorithms, this paper introduces enhancements such as semijoin reduction preprocessing using Bloom filtering.
Keywords:Constraint satisfaction  Non-binary constraints  Hash join  Multijoin  Decision diagram  BDD  Consistency  Forward checking  Semijoin reduction  Dual search  Partition search  Random problems
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