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Erschienen in:
2005 | OriginalPaper | Buchkapitel
On the Properties of Metamodeling in OWL
verfasst von : Boris Motik
Erschienen in: The Semantic Web – ISWC 2005
Verlag: Springer Berlin Heidelberg
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A common practice in conceptual modeling is to separate the intensional from the extensional model. Although very intuitive, this approach is inadequate for many complex domains, where the borderline between the two models is not clear-cut. Therefore, OWL-Full, the most expressive of the Semantic Web ontology languages, allows combining the intensional and the extensional model by a feature we refer to as
metamodeling
. In this paper, we show that the semantics of metamodeling adopted in OWL-Full leads to undecidability of basic inference problems, due to free mixing of logical and metalogical symbols. Based on this result, we propose two alternative semantics for metamodeling: the
contextual
and the
HiLog
semantics. We show that
$\mathcal{SHOIQ}$
— a description logic underlying OWL-DL — extended with metamodeling under either semantics is decidable. Finally, we show how the latter semantics can be used in practice to axiomatize the logical interaction between concepts and metaconcepts.