Reasoning about Typicality and Probabilities in Preferential Description Logics

• URL: http://arxiv.org/abs/2004.09507v2
• Date: Thu, 23 Apr 2020 16:15:31 GMT
• Title: Reasoning about Typicality and Probabilities in Preferential Description Logics
• Authors: Laura Giordano, Valentina Gliozzi, Antonio Lieto, Nicola Olivetti, Gian Luca Pozzato
• Abstract summary: We describe preferential Description Logics of typicality, a nonmonotonic extension of standard Description Logics by means of a typicality operator T. This extension is based on a minimal model semantics corresponding to a notion of rational closure. We consider other strengthening of the rational closure semantics and construction to avoid the so-called blocking of property inheritance problem.
• Score: 0.15749416770494704
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we describe preferential Description Logics of typicality, a nonmonotonic extension of standard Description Logics by means of a typicality operator T allowing to extend a knowledge base with inclusions of the form T(C) v D, whose intuitive meaning is that normally/typically Cs are also Ds. This extension is based on a minimal model semantics corresponding to a notion of rational closure, built upon preferential models. We recall the basic concepts underlying preferential Description Logics. We also present two extensions of the preferential semantics: on the one hand, we consider probabilistic extensions, based on a distributed semantics that is suitable for tackling the problem of commonsense concept combination, on the other hand, we consider other strengthening of the rational closure semantics and construction to avoid the so-called blocking of property inheritance problem.

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