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Structure-Based Semantics of Argumentation Frameworks with Higher-Order Attacks and Supports

Cayrol, Claudette and Fandinno, Jorge and Fariñas del Cerro, Luis and Lagasquié-Schiex, Marie-Christine Structure-Based Semantics of Argumentation Frameworks with Higher-Order Attacks and Supports. (2018) In: International Conference on Computational Models of Argument (COMMA 2018), 12 September 2018 - 14 September 2018 (Warsaw, Poland).

(Document in English)

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Official URL: https://doi.org/10.3233/978-1-61499-906-5-29


In this paper, we propose a generalisation of Dung's abstract argumentation framework that allows representing higher-order attacks and supports, that is attacks or supports whose targets are other attacks or supports. We follow the necessary interpretation of the support, based on the intuition that the acceptance of an argument requires the acceptance of each supporter. We propose semantics accounting for acceptability of arguments and validity of interactions, where the standard notion of extension is replaced by a triple of a set of arguments, a set of attacks and a set of supports. Our framework is a conservative generalisation of Argumentation Frameworks with Necessities (AFN). When supports are ignored, Argumentation Frameworks with Recursive Attacks are recovered.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-02181911
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
CIMI : Centre International de Mathématiques et d’Informatique de Toulouse (France)
Deposited On:26 Jun 2019 14:52

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