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Rejection in Abstract Argumentation: Harder Than Acceptance?

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Authors

  • Johannes K. Fichte
  • Markus Hecher
  • Yasir Mahmood
  • Arne Meier

External Research Organisations

  • Linkoping University
  • Massachusetts Institute of Technology
  • Paderborn University
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Details

Original languageEnglish
Title of host publicationECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings
EditorsUlle Endriss, Francisco S. Melo, Kerstin Bach, Alberto Bugarin-Diz, Jose M. Alonso-Moral, Senen Barro, Fredrik Heintz
Pages3212-3219
Number of pages8
ISBN (electronic)9781643685489
Publication statusPublished - 16 Oct 2024
Event27th European Conference on Artificial Intelligence, ECAI 2024 - Santiago de Compostela, Spain
Duration: 19 Oct 202424 Oct 2024

Publication series

NameFrontiers in Artificial Intelligence and Applications
Volume392
ISSN (Print)0922-6389
ISSN (electronic)1879-8314

Abstract

Abstract argumentation is a popular toolkit for modeling, evaluating, and comparing arguments. Relationships between arguments are specified in argumentation frameworks (AFs), and conditions are placed on sets (extensions) of arguments that allow AFs to be evaluated. For more expressiveness, AFs are augmented with acceptance conditions on directly interacting arguments or a constraint on the admissible sets of arguments, resulting in dialectic frameworks or constrained argumentation frameworks. In this paper, we consider flexible conditions for rejecting an argument from an extension, which we call rejection conditions (RCs). On the technical level, we associate each argument with a specific logic program. We analyze the resulting complexity, including the structural parameter treewidth. Rejection AFs are highly expressive, giving rise to natural problems on higher levels of the polynomial hierarchy.

ASJC Scopus subject areas

Cite this

Rejection in Abstract Argumentation: Harder Than Acceptance? / Fichte, Johannes K.; Hecher, Markus; Mahmood, Yasir et al.
ECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings. ed. / Ulle Endriss; Francisco S. Melo; Kerstin Bach; Alberto Bugarin-Diz; Jose M. Alonso-Moral; Senen Barro; Fredrik Heintz. 2024. p. 3212-3219 (Frontiers in Artificial Intelligence and Applications; Vol. 392).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Fichte, JK, Hecher, M, Mahmood, Y & Meier, A 2024, Rejection in Abstract Argumentation: Harder Than Acceptance? in U Endriss, FS Melo, K Bach, A Bugarin-Diz, JM Alonso-Moral, S Barro & F Heintz (eds), ECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings. Frontiers in Artificial Intelligence and Applications, vol. 392, pp. 3212-3219, 27th European Conference on Artificial Intelligence, ECAI 2024, Santiago de Compostela, Spain, 19 Oct 2024. https://doi.org/10.48550/arXiv.2408.10683, https://doi.org/10.3233/FAIA240867
Fichte, J. K., Hecher, M., Mahmood, Y., & Meier, A. (2024). Rejection in Abstract Argumentation: Harder Than Acceptance? In U. Endriss, F. S. Melo, K. Bach, A. Bugarin-Diz, J. M. Alonso-Moral, S. Barro, & F. Heintz (Eds.), ECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings (pp. 3212-3219). (Frontiers in Artificial Intelligence and Applications; Vol. 392). https://doi.org/10.48550/arXiv.2408.10683, https://doi.org/10.3233/FAIA240867
Fichte JK, Hecher M, Mahmood Y, Meier A. Rejection in Abstract Argumentation: Harder Than Acceptance? In Endriss U, Melo FS, Bach K, Bugarin-Diz A, Alonso-Moral JM, Barro S, Heintz F, editors, ECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings. 2024. p. 3212-3219. (Frontiers in Artificial Intelligence and Applications). doi: 10.48550/arXiv.2408.10683, 10.3233/FAIA240867
Fichte, Johannes K. ; Hecher, Markus ; Mahmood, Yasir et al. / Rejection in Abstract Argumentation : Harder Than Acceptance?. ECAI 2024 - 27th European Conference on Artificial Intelligence, Including 13th Conference on Prestigious Applications of Intelligent Systems, PAIS 2024, Proceedings. editor / Ulle Endriss ; Francisco S. Melo ; Kerstin Bach ; Alberto Bugarin-Diz ; Jose M. Alonso-Moral ; Senen Barro ; Fredrik Heintz. 2024. pp. 3212-3219 (Frontiers in Artificial Intelligence and Applications).
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title = "Rejection in Abstract Argumentation: Harder Than Acceptance?",
abstract = "Abstract argumentation is a popular toolkit for modeling, evaluating, and comparing arguments. Relationships between arguments are specified in argumentation frameworks (AFs), and conditions are placed on sets (extensions) of arguments that allow AFs to be evaluated. For more expressiveness, AFs are augmented with acceptance conditions on directly interacting arguments or a constraint on the admissible sets of arguments, resulting in dialectic frameworks or constrained argumentation frameworks. In this paper, we consider flexible conditions for rejecting an argument from an extension, which we call rejection conditions (RCs). On the technical level, we associate each argument with a specific logic program. We analyze the resulting complexity, including the structural parameter treewidth. Rejection AFs are highly expressive, giving rise to natural problems on higher levels of the polynomial hierarchy.",
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AU - Fichte, Johannes K.

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AU - Mahmood, Yasir

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AB - Abstract argumentation is a popular toolkit for modeling, evaluating, and comparing arguments. Relationships between arguments are specified in argumentation frameworks (AFs), and conditions are placed on sets (extensions) of arguments that allow AFs to be evaluated. For more expressiveness, AFs are augmented with acceptance conditions on directly interacting arguments or a constraint on the admissible sets of arguments, resulting in dialectic frameworks or constrained argumentation frameworks. In this paper, we consider flexible conditions for rejecting an argument from an extension, which we call rejection conditions (RCs). On the technical level, we associate each argument with a specific logic program. We analyze the resulting complexity, including the structural parameter treewidth. Rejection AFs are highly expressive, giving rise to natural problems on higher levels of the polynomial hierarchy.

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