The expressive power of valued constraints: Hierarchies and collapses

The expressive power of valued constraints: Hierarchies and collapses

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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....

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Príomhchruthaitheoirí: Cohen, D, Jeavons, P, Živný, S
Formáid: Journal article
Foilsithe / Cruthaithe: 2008
Cur síos
Achoimre: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.

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