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....
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| Format: | Journal article |
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2008
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| _version_ | 1797100255136710656 |
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| author | Cohen, D Jeavons, P Živný, S |
| author_facet | Cohen, D Jeavons, P Živný, 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 monotonic valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy. |
| first_indexed | 2024-03-07T05:35:05Z |
| format | Journal article |
| id | oxford-uuid:e39fb96f-cfdd-44b8-b36e-7462c299863d |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:35:05Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:e39fb96f-cfdd-44b8-b36e-7462c299863d2022-03-27T10:10:24ZThe expressive power of valued constraints: Hierarchies and collapsesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e39fb96f-cfdd-44b8-b36e-7462c299863dDepartment of Computer Science2008Cohen, DJeavons, PŽivný, 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 monotonic valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy. |
| spellingShingle | Cohen, D Jeavons, P Živný, 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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