Paper accepted at IJCAI 2022[06.05.2022]
The paper "Possibilistic Logic Underlies Abstract Dialectical Frameworks." was accepted at the 31st International Joint Conference on Artificial Intelligence (IJCAI'22), Vienna, Austria.
Abstract of the paper
Possibilistic Logic Underlies Abstract Dialectical Frameworks
by Jesse Heyninck, Gabriele Kern-Isberner, Tjitze Rienstra, Kenneth Skiba, Matthias Thimm
Abstract: Abstract dialectical frameworks (in short, ADFs) are one of the most general and unifying approaches to formal argumentation. As the semantics of ADFs are based on three-valued interpretations, we ask which monotonic three-valued logic allows to capture the main semantic concepts underlying ADFs. We show that possibilistic logic is the unique logic that can faithfully encode all other semantical concepts for ADFs. Based on this result, we also characterise strong equivalence and introduce possibilistic ADFs.