Possibilistic Logic Underlies Abstract Dialectical Frameworks

J.L.A. Heyninck, Gabriele Kern-Isberner, Tjitze Rienstra, Kenneth Skiba, Matthias Thimm

Research output: Contribution to conferencePaperAcademic

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. 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.
Original languageEnglish
Pages2655-2666
DOIs
Publication statusPublished - 2022
Event31st International Joint Conference on Artificial Intelligence - Messe WIen, Vienna, Austria
Duration: 23 Jul 202229 Jul 2022
Conference number: 31
https://ijcai-22.org/

Conference

Conference31st International Joint Conference on Artificial Intelligence
Abbreviated titleIJCAI-ECAI 2022
Country/TerritoryAustria
CityVienna
Period23/07/2229/07/22
Internet address

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