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  1. How to Construct Remainder Sets for Paraconsistent Revisions: Preliminary Report.Rafael Testa, Eduardo Fermé, Marco Garapa & Maurício Reis - 2018 - 17th INTERNATIONAL WORKSHOP ON NON-MONOTONIC REASONING.
    Revision operation is the consistent expansion of a theory by a new belief-representing sentence. We consider that in a paraconsistent setting this desideratum can be accomplished in at least three distinct ways: the output of a revision operation should be either non-trivial or non-contradictory (in general or relative to the new belief). In this paper those distinctions will be explored in the constructive level by showing how the remainder sets could be refined, capturing the key concepts of paraconsistency in a (...)
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  • A Note on a Description Logic of Concept and Role Typicality for Defeasible Reasoning Over Ontologies.Ivan Varzinczak - 2018 - Logica Universalis 12 (3-4):297-325.
    In this work, we propose a meaningful extension of description logics for non-monotonic reasoning. We introduce \, a logic allowing for the representation of and reasoning about both typical class-membership and typical instances of a relation. We propose a preferential semantics for \ in terms of partially-ordered DL interpretations which intuitively captures the notions of typicality we are interested in. We define a tableau-based algorithm for checking \ knowledge-base consistency that always terminates and we show that it is sound and (...)
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  • From KLM-Style Conditionals to Defeasible Modalities, and Back.Katarina Britz & Ivan Varzinczak - 2018 - Journal of Applied Non-Classical Logics 28 (1):92-121.
    We investigate an aspect of defeasibility that has somewhat been overlooked by the non-monotonic reasoning community, namely that of defeasible modes of reasoning. These aim to formalise defeasibility of the traditional notion of necessity in modal logic, in particular of its different readings as action, knowledge and others in specific contexts, rather than defeasibility of conditional forms. Building on an extension of the preferential approach to modal logics, we introduce new modal osperators with which to formalise the notion of defeasible (...)
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