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Talks and Poster Presentations (with Proceedings-Entry):

W. Dvorak, S. Woltran, J. Fandinno:
"On the Expressive Power of Collective Attacks";
Talk: 7th International Conference on Computational Models of Argument, Warschau; 2018-09-11 - 2018-09-14; in: "7th International Conference on Computational Models of Argument", IOS Press, 305 (2018), ISBN: 978-1-61499-905-8; 1 - 27.



English abstract:
In this paper, we consider SETAFs due to Nielsen and Parsons, an extension of Dung´s abstract argumentation frameworks that allow for collective attacks. We first pro-vide a comprehensive analysis of the expressiveness of SETAFs under conflict-free, naive, stable, complete, admissible and preferred semantics. Our analysis shows that SETAFs are strictly more expressive than Dung AFs. Towards a uniform characterization of SETAFs and Dung AFs we provide general results on expressiveness which take the maximum de-gree of the collective attacks into account. Our results show that, for each k > 0, SETAFs that allow for collective attacks of k + 1 arguments are more expressive than SETAFs that only allow for collective attacks of at most k arguments.

German abstract:
In this paper, we consider SETAFs due to Nielsen and Parsons, an extension of Dung´s abstract argumentation frameworks that allow for collective attacks. We first pro-vide a comprehensive analysis of the expressiveness of SETAFs under conflict-free, naive, stable, complete, admissible and preferred semantics. Our analysis shows that SETAFs are strictly more expressive than Dung AFs. Towards a uniform characterization of SETAFs and Dung AFs we provide general results on expressiveness which take the maximum de-gree of the collective attacks into account. Our results show that, for each k > 0, SETAFs that allow for collective attacks of k + 1 arguments are more expressive than SETAFs that only allow for collective attacks of at most k arguments.

Keywords:
Expressive; Power; Collective Attacks


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.3233/978-1-61499-906-5-49

Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_272939.pdf



Related Projects:
Project Head Stefan Woltran:
Neue Werkzeuge für graphenbasierte formale Argumentation


Created from the Publication Database of the Vienna University of Technology.