The expressive power of valued constraints: Hierarchies and collapses
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 over the same domain of...
| Main Authors: | , , |
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
Elsevier
2008
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| 總結: | 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 over the same domain 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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