Affiliations: [a] Università del Piemonte Orientale “A. Avogadro”, Viale Teresa Michel, 11 - 15121, Alessandria, Italy. laura.giordano@uniupo.it | [b] Center for Logic, Language and Cognition, Dipartimento di Informatica, Università di Torino, Corso Svizzera, 185, 10149 Torino, Italy. valentina.gliozzi@unito.it
Correspondence:
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Address for correspondence: DISIT, Università del Piemonte Orientale “A. Avogadro”, Viale Teresa Michel, 11 - 15121, Alessandria, Italy
Abstract: Reasoning about exceptions in ontologies is nowadays one of the challenges the description logics community is facing. The paper describes a preferential approach for dealing with exceptions in Description Logics, based on the rational closure. The rational closure has the merit of providing a simple and efficient approach for reasoning with exceptions, but it does not allow independent handling of the inheritance of different defeasible properties of concepts. In this work we outline a possible solution to this problem by introducing a weaker variant of the lexicographical closure, that we call skeptical closure, which requires to construct a single base. We develop a bi-preference semantics for defining a characterization of the skeptical closure.
