The expressive power of valued constraints: Hierarchies and Collapses (2007)
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BibTeX
@TECHREPORT{Cohen07theexpressive,
author = {David A. Cohen and Peter G. Jeavons and Stanislav Zivny},
title = { The expressive power of valued constraints: Hierarchies and Collapses},
institution = {},
year = {2007}
}
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Abstract
In this paper we investigate the ways in which a fixed collection of valued constraints can be combined to express other valued constraints. We show that in some cases a large class of valued constraints, of all possible arities, can be expressed by using valued constraints of a fixed finite arity. We also show that some simple classes of valued constraints, including the set of all monotonic valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy.
