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Paper · arXiv

Diversity of Extensions in Abstract Argumentation

Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (AF), that express conflicts between arguments. The semantics is defined by the notion of extensions, which are sets of arguments that satisfy particular relationship conditions in the AF. Usually, standard reasoning in argumentation do not reveal how far apart extensions are. We introduce a quantitative notion of diversity of extensions based on the symmetric difference and provide a systematic complexity classification. Intuitively, diversity captures whether extensions of a framework (accepted viewpoints) diffe...

AuthorsJohannes K. Fichte, Markus Hecher, Yasir Mahmood et al.
Primary categorycs.AI
Published13 May 2026
Last updated at source13 May 2026
cs.AIcs.CC
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