Keys, Nominals, and Concrete Domains
Identifieur interne : 005C36 ( Main/Exploration ); précédent : 005C35; suivant : 005C37Keys, Nominals, and Concrete Domains
Auteurs : Carsten Lutz ; Carlos Areces [France] ; Ian Horrocks ; Ulrike SattlerSource :
- Journal of Artificial Intelligence Research [ 1076-9757 ] ; 2005.
Abstract
Many description logics (DLs) combine knowledge representation on an abstract, logical level with an interface to 'concrete' domains like numbers and strings with built-in predicates such as >, +, and prefix-of. These hybrid DLs have turned out to be useful in several application areas, such as reasoning about conceptual database models. We propose to further extend such DLs with key constraints that allow the expression of statements like 'US citizens are uniquely identified by their social security number'. Based on this idea, we introduce a number of natural description logics and perform a detailed analysis of their decidability and computational complexity. It turns out that naive extensions with key constraints easily lead to undecidability, whereas more careful extensions yield NExpTime-complete DLs for a variety of useful concrete domains.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
Links toward previous steps (curation, corpus...)
- to stream Hal, to step Corpus: 002D52
- to stream Hal, to step Curation: 002D52
- to stream Hal, to step Checkpoint: 004930
- to stream Main, to step Merge: 006837
- to stream Main, to step Curation: 005C36
Le document en format XML
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<front><div type="abstract" xml:lang="en">Many description logics (DLs) combine knowledge representation on an abstract, logical level with an interface to 'concrete' domains like numbers and strings with built-in predicates such as >, +, and prefix-of. These hybrid DLs have turned out to be useful in several application areas, such as reasoning about conceptual database models. We propose to further extend such DLs with key constraints that allow the expression of statements like 'US citizens are uniquely identified by their social security number'. Based on this idea, we introduce a number of natural description logics and perform a detailed analysis of their decidability and computational complexity. It turns out that naive extensions with key constraints easily lead to undecidability, whereas more careful extensions yield NExpTime-complete DLs for a variety of useful concrete domains.</div>
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