Conditional Abstract Dialectical Frameworks

Jesse Heyninck, Matthias Thimm, Gabriele Kern-Isberner, Tjitze Rienstra, Kenneth Skiba

[AAAI-22] Main Track

Keywords
Poster Session 3 @ Blue 5, Poster Session 7 @ Blue 5, Oral Session 7 @ Blue 5, Poster Session 3, Poster Session 7, Oral Session 7

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Abstract: Abstract dialectical frameworks (in short, ADFs) are a unifying model of formal argumentation, where argumentative relations between arguments are represented by assigning acceptance conditions to atomic arguments. This idea is generalized by letting acceptance conditions being assigned to complex formulas, resulting in conditional abstract dialectical frameworks (in short, cADFs). We define the semantics of cADFs in terms of a non-truth-functional four-valued logic, and study the semantics in-depth, by showing existence results and proving that all semantics are generalizations of the corresponding semantics for ADFs.

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Sessions where this paper appears

  • Poster Session 3

    Blue 5

  • Poster Session 7

    Blue 5

  • Oral Session 7

    Blue 5