Supporting Argumentation Systems by Graph Representation and Computation

Jérôme Fortin 1 Rallou Thomopoulos 1 Jean-Rémi Bourguet 2, 1 Marie-Laure Mugnier 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 : Argumentation is a reasoning model based on arguments and on attacks between arguments. It consists in evaluating the acceptability of arguments, according to a given semantics. Due to its generality, Dung's framework for abstract argumentation systems, proposed in 1995, is a reference in the domain. Argumentation systems are commonly represented by graph structures, where nodes and edges respectively represent arguments and attacks between arguments. However beyond this graphical support, graph operations have not been considered as reasoning tools in argumentation systems. This paper proposes a conceptual graph representation of an argumentation system and a computation of argument acceptability relying on conceptual graph default rules.
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Jérôme Fortin, Rallou Thomopoulos, Jean-Rémi Bourguet, Marie-Laure Mugnier. Supporting Argumentation Systems by Graph Representation and Computation. GKR: Graph Structures for Knowledge Representation and Reasoning, Jul 2011, Barcelona, Spain. pp.119-136, ⟨10.1007/978-3-642-29449-5_5⟩. ⟨lirmm-00768328⟩

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