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: | , , |
|---|---|
| Format: | Report |
| Published: |
Computing Laboratory‚ University of Oxford
2015
|
| _version_ | 1826275544104173568 |
|---|---|
| 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 | 2024-03-06T23:00:19Z |
| format | Report |
| id | oxford-uuid:61e309eb-9266-486b-9b21-5a97c05082c8 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:00:19Z |
| publishDate | 2015 |
| publisher | Computing Laboratory‚ University of Oxford |
| record_format | dspace |
| spelling | oxford-uuid:61e309eb-9266-486b-9b21-5a97c05082c82022-03-26T18:02:44ZThe expressive power of valued constraints: hierarchies and collapsesReporthttp://purl.org/coar/resource_type/c_93fcuuid:61e309eb-9266-486b-9b21-5a97c05082c8Department of Computer ScienceComputing Laboratory‚ University of Oxford2015Cohen, 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 |