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arXiv · 1006.3215

Solving Functional Constraints by Variable Substitution

Yuanlin Zhang·Roland H. C. Yap
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Abstract

Functional constraints and bi-functional constraints are an important constraint class in Constraint Programming (CP) systems, in particular for Constraint Logic Programming (CLP) systems. CP systems with finite domain constraints usually employ CSP-based solvers which use local consistency, for example, arc consistency. We introduce a new approach which is based instead on variable substitution. We obtain efficient algorithms for reducing systems involving functional and bi-functional constraints together with other non-functional constraints. It also solves globally any CSP where there exists a variable such that any other variable is reachable from it through a sequence of functional constraints. Our experiments on random problems show that variable elimination can significantly improve the efficiency of solving problems with functional constraints.

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Yuanlin Zhang, Roland H. C. Yap. 2010-06-16. Solving Functional Constraints by Variable Substitution. https://arxiv.org/abs/1006.3215

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