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A meta-model is the ontology for a model, or, in other words, a metamodel is a specification/model of a specification/modeling language.

Relevance

Specific rules expressed in a rule language are instances

The rule language is the model

The meta-model is the ontology of the rule language

Impact on Design

Rule languages can be translated into each other if they share a meta-model

For More Information

JeffPan and Ian Horrocks. Metamodeling architecture of web ontology languages. In Isabel Cruz, Stefan Decker, Jérôme Euzenat, and Deborah McGuinness, editors, The Emerging Semantic Web, Frontiers in artificial intelligence and applications. IOS press, Amsterdam (NL), 2002. An online version is available here.

Saartje Brockmans, Andreas Eberhart, Raphael Volz, Peter Löffler. Visual modeling of OWL DL ontologies using UML. In S.A. McIlraith et al., Proceedings of the Third International Semantic Web Conference, Hiroshima, Japan, 2004, pp. 198-213. Springer, November 2004.

Saartje Brockmans, Peter Haase, Pascal Hitzler. A Metamodel and UML Profile for Rule-extended OWL DL Ontologies. Technical Report, Institute AIFB, University of Karlsruhe. November 2005. (Submitted)

JeffPan, Ian Horrocks and Guus Schreiber. OWL FA: A Metamodeling Extension of OWL DL. In Proc. of the International Workshop on OWL: Experience and Directions (OWL-ED2005), 2005. An online version is available here.

GerdWagner, Carlos Viegas Damásio, and Grigoris Antioniou (2005). Towards a general web rule language, Int. J. Web Engineering and Technology, Vol. 2, Nos. 2/3, pp.181–206.

Ontology Definition Metamodel Third Revised Submission to OMG/ RFP ad/2003-03-40