Abstract
In the ongoing discussion about combining rules and Ontologies on the Semantic Web a recurring issue is how to combine first-order classical logic with nonmonotonic rule languages. Whereas several modular approaches to define a combined semantics for such hybrid knowledge bases focus mainly on decidability issues, we tackle the matter from a more general point of view. In this paper we show how Quantified Equilibrium Logic (QEL) can function as a unified framework which embraces classical logic as well as disjunctive logic programs under the (open) answer set semantics. In the proposed variant of QEL we relax the unique names assumption, which was present in earlier versions of QEL. Moreover, we show that this framework elegantly captures the existing modular approaches for hybrid knowledge bases in a unified way.
This research has been partially supported by the Spanish MEC under the projects TIC-2003-9001, TIN2006-15455-CO3 and the Acción Integrada “Formal Techniques for Reasoning about Ontologies in E-Science”, and by the European Commission under the projects Knowledge Web (IST-2004-507482) and DIP (FP6-507483).
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de Bruijn, J., Pearce, D., Polleres, A., Valverde, A. (2007). Quantified Equilibrium Logic and Hybrid Rules. In: Marchiori, M., Pan, J.Z., Marie, C.d.S. (eds) Web Reasoning and Rule Systems. RR 2007. Lecture Notes in Computer Science, vol 4524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72982-2_5
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DOI: https://doi.org/10.1007/978-3-540-72982-2_5
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