Expressiveness of SETAFs and Support-Free ADFs under 3-valued Semantics

Atefeh Keshavarzi Zafarghandi, Stefan Woltran, Wolfgang Dvorak


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Generalizing the attack structure in argumentation frameworks (AFs)
has been studied in different ways. Most prominently, the binary
attack relation of Dung frameworks has been extended to the
notion of collective attacks. The resulting formalism is often termed SETAFs. Another approach is provided via abstract dialectical frameworks (ADFs), where
acceptance conditions specify the relation between arguments; restricting these conditions naturally allows for so-called support-free ADFs. The aim of the paper
is to shed light on the relation between these two different approaches. To this end, we investigate and compare the expressiveness of SETAFs and support-free ADFs under the lens of 3-valued semantics. Our results show that it is only the presence of unsatisfiable acceptance conditions in support-free ADFs that discriminate the two approaches.
Originele taal-2English
TitelIOSS Press
StatusSubmitted - 2020

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