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A Dialectical Proof Theory for Universal Acceptance in Coherent Logic-based Argumentation Frameworks

Abdallah Arioua 1, 2 Madalina Croitoru 1
1 GRAPHIK - Graphs for Inferences on Knowledge
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Given a logic-based argumentation framework built over a knowledge base in a logical language and a query in that language. The query is universally accepted if it is entailed from all extensions. As shown in [2, 14], universal acceptance is different from skeptical acceptance as a query may be entailed from different arguments distributed over all extensions but not necessarily skeptical ones. In this paper we provide a dialectical proof theory for universal acceptance in coherent logic-based argumentation frameworks. We prove its finiteness, soundness, completeness, consistency and study its dispute complexity. We give an exact characterization for non-universal acceptance and provide an upper-bound for universal acceptance.
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Abdallah Arioua, Madalina Croitoru. A Dialectical Proof Theory for Universal Acceptance in Coherent Logic-based Argumentation Frameworks. ECAI : European Conference on Artificial Intelligence, Aug 2016, The Hague, Netherlands. pp.55-63, ⟨10.3233/978-1-61499-672-9-55⟩. ⟨lirmm-01333368⟩

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