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Argumentation Frameworks with Recursive Attacks and Evidence-Based Supports

Cayrol, Claudette and Fandinno, Jorge and Fariñas del Cerro, Luis and Lagasquié-Schiex, Marie-Christine Argumentation Frameworks with Recursive Attacks and Evidence-Based Supports. (2018) In: 10th International Symposium on Foundations of Information and Knowledge Systems (FoIKS 2018), 14 May 2018 - 18 May 2018 (Budapest, Hungary).

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Official URL: https://doi.org/10.1007/978-3-319-90050-6_9

Abstract

The purpose of this work is to study a generalisation of Dung’s abstract argumentation frameworks that allows representing positive interactions (called supports). The notion of support studied here is based in the intuition that every argument must be supported by some chain of supports from some special arguments called prima-facie. The theory developed also allows the representation of both recursive attacks and supports, that is, a class of attacks or supports whose targets are other attacks or supports. We do this by developing a theory of argumentation where the classic role of attacks in defeating arguments is replaced by a subset of them, which is extension dependent and which, intuitively, represents a set of “valid attacks” with respect to the extension. Similarly, only the subset of “valid supports” is allowed to support other elements (arguments, attacks or supports). This theory displays a conservative generalisation of Dung’s semantics (complete, preferred and stable) and also of their principles (conflict-freeness, acceptability and admissibility). When restricted to finite non-recursive frameworks, we are also able to prove a one-to-one correspondence with Evidence-Based Argumentation (EBA). When supports are ignored a one-to-one correspondence with Argumentation Frameworks with Recursive Attacks (AFRA) semantics is also established.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 10833 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN: 978-3-319-90049-0 The original PDF is available at: https://link.springer.com/chapter/10.1007%2F978-3-319-90050-6_9
HAL Id:hal-02305350
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:
Funders:
CIMI : Centre International de Mathématiques et d’Informatique (France) - ANR : Agence nationale de la recherche : program ANR-11-IDEX-0002-02 (France)
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Deposited On:24 Sep 2019 12:11

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