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 of a fixed finite arity....
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1826270018464120832 |
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| author | Cohen, D Jeavons, P Zivny, S |
| author_facet | Cohen, D Jeavons, P Zivny, S |
| author_sort | Cohen, D |
| collection | OXFORD |
| description | 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 monotonie valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy. © Springer-Verlag Berlin Heidelberg 2007. |
| first_indexed | 2024-03-06T21:34:18Z |
| format | Journal article |
| id | oxford-uuid:45b3d1ee-787c-4741-baa7-8664c82994cc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:34:18Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:45b3d1ee-787c-4741-baa7-8664c82994cc2022-03-26T15:09:26ZThe expressive power of valued constraints: Hierarchies and collapses.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:45b3d1ee-787c-4741-baa7-8664c82994ccEnglishSymplectic Elements at Oxford2008Cohen, DJeavons, PZivny, SIn 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 monotonie valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy. © Springer-Verlag Berlin Heidelberg 2007. |
| spellingShingle | Cohen, D Jeavons, P Zivny, S The expressive power of valued constraints: Hierarchies and collapses. |
| title | The expressive power of valued constraints: Hierarchies and collapses. |
| title_full | The expressive power of valued constraints: Hierarchies and collapses. |
| title_fullStr | The expressive power of valued constraints: Hierarchies and collapses. |
| title_full_unstemmed | The expressive power of valued constraints: Hierarchies and collapses. |
| title_short | The expressive power of valued constraints: Hierarchies and collapses. |
| title_sort | expressive power of valued constraints hierarchies and collapses |
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