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Autori:Laura Giordano
Valentina Gliozzi
Area Scientifica:Artificial Intelligence
Knowledge Representation
Titolo:A reconstruction of multipreference closure
Apparso su:TR-INF-2020-09-04-UNIPMN
Editore:DiSIT, Computer Science Institute, UPO
Anno:2020
Tipo Pubblicazione:Technical Report
URL:https://arxiv.org/abs/1905.03855
Sommario:The paper describes a preferential approach for dealing with exceptions in KLM preferential logics, based on the rational closure. It is well known that rational closure does not allow an independent handling of inheritance of different defeasible properties of concepts. In this work, we consider an alternative closure construction, called Multi Preference closure (MP-closure), which has been first considered for reasoning with exceptions in DLs. We reconstruct the notion of MP-closure in the propositional case and show that it is a natural (weaker) variant of Lehmann’s lexicographic closure, which appears to be too bold in some cases. The MP-closure defines a preferential consequence relation that, although weaker than lexicographic closure, is stronger than Relevant Closure.