AAAI 2022technical2 citations

Conditional Abstract Dialectical Frameworks

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

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.

BibTeX
@inproceedings{aaai2022_conditionalabstr,
  title = {Conditional Abstract Dialectical Frameworks},
  author = {Jesse Heyninck and Matthias Thimm and Gabriele Kern-Isberner and Tjitze Rienstra and Kenneth Skiba},
  booktitle = {AAAI 2022},
  year = {2022}
}