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2017 | OriginalPaper | Chapter

ABAplus: Attack Reversal in Abstract and Structured Argumentation with Preferences

Authors : Ziyi Bao, Kristijonas Čyras, Francesca Toni

Published in: PRIMA 2017: Principles and Practice of Multi-Agent Systems

Publisher: Springer International Publishing

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Abstract

We present ABAplus, a system that implements reasoning with the argumentation formalism ABA\(^+\). ABA\(^+\) is a structured argumentation formalism that extends Assumption-Based Argumentation (ABA) with preferences and accounts for preferences via attack reversal. ABA\(^+\) also admits as instance Preference-based Argumentation which accounts for preferences by reversing attacks in abstract argumentation (AA). ABAplus readily implements attack reversal in both AA and ABA-style structured argumentation. ABAplus affords computation, visualisation and comparison of extensions under five argumentation semantics. It is available both as a stand-alone system and as a web application.

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Footnotes
1
As a preorder, \(\leqslant \) has to be reflexive, but for brevity purposes we often omit to specify the reflexive instances of any preorder.
 
2
Other ways of formalising such examples in ABA are possible; we chose a natural and simple representation. Generally, knowledge representation in argumentation (and other formalisms) may be a complex problem, discussion of which is beyond the scope of this paper.
 
3
Our notion of ‘weak contraposition’ bears no relationship with the notion by the same name used e.g. in [15], inspired by conditional entailment in Deontic Logic.
 
4
Unless specified otherwise, we omit \(\mathcal {L}\) and https://static-content.springer.com/image/chp%3A10.1007%2F978-3-319-69131-2_25/451625_1_En_25_IEq478_HTML.gif , and adopt the following conventions: unless \(\overline{\mathsf {x}}\) appears in either \(\mathcal {A}\) or \(\mathcal {R}\), it is different from the sentences appearing in \(\mathcal {A}\) or \(\mathcal {R}\); thus, \(\mathcal {L}\) consists of all the sentences appearing in \(\mathcal {R}\), \(\mathcal {A}\) and \(\{ \overline{\mathsf {a}}~:~\mathsf {a}\in \mathcal {A}\}\).
 
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Metadata
Title
ABAplus: Attack Reversal in Abstract and Structured Argumentation with Preferences
Authors
Ziyi Bao
Kristijonas Čyras
Francesca Toni
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-69131-2_25

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