Reasoning about exceptions in ontologies: from the lexicographic closure to the skeptical closure
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 variant of the lexicographical closure, that we call skeptical closure, which requires to construct a single base. We develop a bi-preference semantics semantics for defining a characterization of the skeptical closure.
Keywords
Cite
@article{arxiv.1807.02879,
title = {Reasoning about exceptions in ontologies: from the lexicographic closure to the skeptical closure},
author = {Laura Giordano and Valentina Gliozzi},
journal= {arXiv preprint arXiv:1807.02879},
year = {2018}
}