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 over the same domain of...
Главные авторы: | , , |
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Формат: | Journal article |
Язык: | English |
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Elsevier
2008
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_version_ | 1826297864165261312 |
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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 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. |
first_indexed | 2024-03-07T04:38:07Z |
format | Journal article |
id | oxford-uuid:d0ad4ee4-b42e-4144-a8e3-c6de99a7d677 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T04:38:07Z |
publishDate | 2008 |
publisher | Elsevier |
record_format | dspace |
spelling | oxford-uuid:d0ad4ee4-b42e-4144-a8e3-c6de99a7d6772022-03-27T07:51:39ZThe expressive power of valued constraints: Hierarchies and collapsesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d0ad4ee4-b42e-4144-a8e3-c6de99a7d677EnglishSymplectic Elements at OxfordElsevier2008Cohen, 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 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. |
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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