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The expressive power of valued constraints: Hierarchies and collapses

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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.tcs.2008.08.036

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


More from this funder
Funding agency for:
Živný, S
Grant:
EP/F01161X/1


Publisher:
Elsevier
Journal:
Theoretical Computer Science More from this journal
Volume:
409
Issue:
1
Pages:
137-153
Publication date:
2008-12-06
DOI:
ISSN:
0304-3975


Language:
English
Keywords:
Pubs id:
292950
UUID:
uuid:d0ad4ee4-b42e-4144-a8e3-c6de99a7d677
Local pid:
pubs:292950
Source identifiers:
292950
Deposit date:
2013-02-20
ARK identifier:

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