1,721,217 research outputs found
A methodology for iterated Theory Change
No full textIn this work, we propose some operators for theory change. We consider Belief Revision and Updates. The operators support combined iterations of revisions and updates and can be efficiently implemented. We show that the revision operator verifies the AGM postulates for Belief Revision and that the update one verifies the postulates for Updates proposed by Katsuno and Mendelzon [7]
Information Frames, Implication Systems and Modalities
No full textWe investigate the logical systems which result from introducing the modalities □ and ◊ into the family of substructural implication logics (including relevant, linear and intuitionistic implication). Our results lead to the formulation of a uniform labelled refutation system for these logics
The Burden of Persuasion in Abstract Argumentation
Full text linkIn this paper, we provide a formal framework for modeling the burden of persuasion in legal reasoning. The framework is based on abstract argumentation, a frequently studied method of non-monotonic reasoning, and can be applied to different argumentation semantics; it supports burdens of persuasion with arbitrary many levels, and allows for the placement of a burden of persuasion on any subset of an argumentation framework’s arguments. Our framework can be considered an extension of related works that raise questions on how burdens of persuasion should be handled in some conflict scenarios that can be modeled with abstract argumentation. An open source software implementation of the introduced formal notions is available as an extension of an argumentation reasoning library
Grafting modalities onto substructural implication systems
No full textWe investigate the semantics of the logical systems obtained by introducing the modalities and into the family of substructural implication logics (including relevant, linear and intuitionistic implication). Then, in the spirit of the LDS (Labelled Deductive Systems) methodology, we "import" this semantics into the classical proof system KE. This leads to the formulation of a uniform labelled refutation system for the new logics which is a natural extension of a system for substructural implication developed by the first two authors in a previous paper
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