Comparing Weak Admissibility Semantics to their Dung-style Counterparts (Extended Abstract)

Baumann, Ringo; Brewka, Gerhard; Ulbricht, Markus

doi:10.24963/ijcai.2021/642

Comparing Weak Admissibility Semantics to their Dung-style Counterparts (Extended Abstract)

Ringo Baumann, Gerhard Brewka, Markus Ulbricht

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Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence. Sister Conferences Best Papers. Pages 4740-4744.

https://doi.org/10.24963/ijcai.2021/642

Keywords

Knowledge Representation and Reasoning: Non-monotonic Reasoning
Knowledge Representation and Reasoning: Computational Models of Argument

Abstract

Semantics based on weak admissibility were recently introduced to overcome a problem with self-defeating arguments that has not been solved for more than 25 years. The recursive definition of weak admissibility mainly relies on the notion of a reduct regarding a set E which only contains arguments which are neither in E, nor attacked by E. At first glance the reduct seems to be tailored for the weaker versions of Dung-style semantics only. In this paper we show that standard Dung semantics can be naturally reformulated using the reduct revealing that this concept is already implicit. We further identify a new abstract principle for semantics, so-called modularization describing how to obtain further extensions given an initial one. Its importance for the study of abstract argumentation semantics is shown by its ability to alternatively characterize classical and non-classical semantics.

Ringo Baumann, Gerhard Brewka, and Markus Ulbricht. 2021. Comparing Weak Admissibility Semantics to their Dung-style Counterparts (Extended Abstract). In Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence, IJCAI-21. IJCAI, 4740–4744. https://doi.org/10.24963/ijcai.2021/642

@inproceedings{ijcai2021p642,
  title     = {Comparing Weak Admissibility Semantics to their Dung-style Counterparts (Extended Abstract)},
  author    = {Baumann, Ringo and Brewka, Gerhard and Ulbricht, Markus},
  booktitle = {Proceedings of the Thirtieth International Joint Conference on
               Artificial Intelligence, {IJCAI-21}},
  publisher = {International Joint Conferences on Artificial Intelligence Organization},
  editor    = {Prof. Zhi-Hua Zhou},
  pages     = {4740--4744},
  year      = {2021},
  month     = {8},
  note      = {Sister Conferences Best Papers},
  doi       = {10.24963/ijcai.2021/642},
  url       = {https://doi.org/10.24963/ijcai.2021/642},
}

TY  - CPAPER
TI  - Comparing Weak Admissibility Semantics to their Dung-style Counterparts (Extended Abstract)
AU  - Baumann, Ringo
AU  - Brewka, Gerhard
AU  - Ulbricht, Markus
T2  - Proceedings of the Thirtieth International Joint Conference on Artificial Intelligence, IJCAI-21
PB  - International Joint Conferences on Artificial Intelligence Organization
PY  - 2021
SP  - 4740
EP  - 4744
DO  - 10.24963/ijcai.2021/642
UR  - https://doi.org/10.24963/ijcai.2021/642
ER  -