On the correspondence between abstract dialectical frameworks and nonmonotonic conditional logics
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Date
2021-07-06
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Abstract
The exact relationship between formal argumentation and nonmonotonic logics is a research topic that keeps on eluding researchers despite recent intensified efforts. We contribute to a deeper understanding of this relation by investigating characterizations of abstract dialectical frameworks in conditional logics for nonmonotonic reasoning. We first show that in general, there is a gap between argumentation and conditional semantics when applying several intuitive translations, but then prove that this gap can be closed when focusing on specific classes of translations.
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Keywords
Abstract argumentation, Abstract dialectical frameworks, Non-monotonic logics, Non-monotonic conditionals, Conditional logics, Non-monotonic reasoning, Defeasible reasoning