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Journal Articles Journal of Artificial Intelligence Research Year : 2005

Keys, Nominals, and Concrete Domains

Carsten Lutz
  • Function : Author
Ian Horrocks
  • Function : Author
Ulrike Sattler
  • Function : Author


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.
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Dates and versions

inria-00000294 , version 1 (23-09-2005)


  • HAL Id : inria-00000294 , version 1


Carsten Lutz, Carlos Areces, Ian Horrocks, Ulrike Sattler. Keys, Nominals, and Concrete Domains. Journal of Artificial Intelligence Research, 2005, The Journal of Artificial Intelligence Research, 23, pp.667--726. ⟨inria-00000294⟩
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