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: | , , |
|---|---|
| 格式: | Conference item |
| 出版: |
2007
|
| _version_ | 1826273671955611648 |
|---|---|
| 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 | 2024-03-06T22:31:46Z |
| format | Conference item |
| id | oxford-uuid:588444d8-d703-4958-b909-8dfd5208b3d3 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:31:46Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:588444d8-d703-4958-b909-8dfd5208b3d32022-03-26T17:03:55ZThe expressive power of valued constraints: Hierarchies and collapsesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:588444d8-d703-4958-b909-8dfd5208b3d3Department of Computer Science2007Cohen, 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 |
| work_keys_str_mv | AT cohend theexpressivepowerofvaluedconstraintshierarchiesandcollapses AT jeavonsp theexpressivepowerofvaluedconstraintshierarchiesandcollapses AT zivnys theexpressivepowerofvaluedconstraintshierarchiesandcollapses AT cohend expressivepowerofvaluedconstraintshierarchiesandcollapses AT jeavonsp expressivepowerofvaluedconstraintshierarchiesandcollapses AT zivnys expressivepowerofvaluedconstraintshierarchiesandcollapses |