Functional Elimination and 0/1/All Constraints

YuanLin Zhang, Roland H. C. Yap, and Joxan Jaffar, National University of Singapore

We present new complexity results on the class of 0/1/All constraints. The central idea involves functional elimination, a general method of elimination whose focus is on the subclass of functional constraints. One result is that for the subclass of All constraints, strong n-consistency and minimality is achievable in O(en) time, where e, n are the number of constraints and variables. The main result is that we can solve 0/1/All constraints in O(e(d+n)) time, where d is the domain size. This is an improvement over known results, which are O(ed(d+n)). Furthermore, our algorithm also achieves strong n-consistency and minimality.

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