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Paper · arXiv

On the Existence of an Inverse Solution for Preference-Based Reductions in Argumentation

Preference-based argumentation frameworks (PAFs) extend Dung's approach to abstract argumentation (AAFs) by encoding preferences over arguments. Such preferences control the transformation of attacks into defeats, and different approaches to doing so result in different reductions from a PAF to an AAF. In this paper we consider a PAF inverse problem which takes an argumentation graph, a labelling and a semantics as an input, and outputs a ``yes" or ``no" as to whether there is a preference relation between the arguments which can yield the desired labelling. This inverse problem has applications in areas including preference elicitation and explainability. We consider this problem in the ...

AuthorsAlessio Zaninotto, Bruno Yun, Nir Oren et al.
Primary categorycs.AI
Published24 April 2026
Last updated at source24 April 2026
cs.AI
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