Strong Admissibility for Abstract Dialectical Frameworks

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Abstract dialectical frameworks (ADFs) have been introduced as a formalism for modeling and evaluating argumentation allowing general logical satisfaction conditions. Different criteria used to settle the acceptance of arguments are called semantics. Semantics of ADFs have so far mainly been defined based on the concept of admissibility. However, the notion of strongly admissible semantics studied for abstract argumentation frameworks has not yet been introduced for ADFs. In the current work we present the concept of strong admissibility of interpretations for ADFs. Further, we show that strongly admissible interpretations of ADFs form a lattice with the grounded interpretation as top element.
Original languageEnglish
Title of host publicationSAC ’21, March 22–26, 2021, Virtual Event, Republic of Korea
PublisherACM Press
Number of pages10
ISBN (Print)978-1-4503-8104-8
Publication statusSubmitted - 10-Dec-2020
EventSAC ’21, March 22–26, 2021: Virtual Event, Republic of Korea - , Korea, Republic of
Duration: 22-Mar-202126-Mar-2021


ConferenceSAC ’21, March 22–26, 2021
Country/TerritoryKorea, Republic of


  • cs.AI

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