Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Johannes Klaus Fichte
  • Markus Hecher
  • Yasir Mahmood
  • Arne Meier

Externe Organisationen

  • Linkoping University
  • Massachusetts Institute of Technology (MIT)
  • Universität Paderborn
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksProceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023
Herausgeber/-innenEdith Elkind
Seiten3212-3220
Seitenumfang9
ISBN (elektronisch)9781956792034
PublikationsstatusVeröffentlicht - 2023

Publikationsreihe

NameIJCAI International Joint Conference on Artificial Intelligence
Band2023-August
ISSN (Print)1045-0823

Abstract

Argumentation is a well-established formalism for nonmonotonic reasoning and a vibrant area of research in AI. Claim-augmented argumentation frameworks (CAFs) have been introduced to deploy a conclusion-oriented perspective. CAFs expand argumentation frameworks by an additional step which involves retaining claims for an accepted set of arguments. We introduce a novel concept of a justification status for claims, a quantitative measure of extensions supporting a particular claim. The well-studied problems of credulous and skeptical reasoning can then be seen as simply the two endpoints of the spectrum when considered as a justification level of a claim. Furthermore, we explore the parameterized complexity of various reasoning problems for CAFs, including the quantitative reasoning for claim assertions. We begin by presenting a suitable graph representation that includes arguments and their associated claims. Our analysis includes the parameter treewidth, and we present decomposition-guided reductions between reasoning problems in CAF and the validity problem for QBF.

Zitieren

Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. / Fichte, Johannes Klaus; Hecher, Markus; Mahmood, Yasir et al.
Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. Hrsg. / Edith Elkind. 2023. S. 3212-3220 (IJCAI International Joint Conference on Artificial Intelligence; Band 2023-August).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Fichte, JK, Hecher, M, Mahmood, Y & Meier, A 2023, Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. in E Elkind (Hrsg.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. IJCAI International Joint Conference on Artificial Intelligence, Bd. 2023-August, S. 3212-3220. https://doi.org/10.24963/ijcai.2023/358
Fichte, J. K., Hecher, M., Mahmood, Y., & Meier, A. (2023). Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. In E. Elkind (Hrsg.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023 (S. 3212-3220). (IJCAI International Joint Conference on Artificial Intelligence; Band 2023-August). https://doi.org/10.24963/ijcai.2023/358
Fichte JK, Hecher M, Mahmood Y, Meier A. Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. in Elkind E, Hrsg., Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. 2023. S. 3212-3220. (IJCAI International Joint Conference on Artificial Intelligence). doi: 10.24963/ijcai.2023/358
Fichte, Johannes Klaus ; Hecher, Markus ; Mahmood, Yasir et al. / Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. Hrsg. / Edith Elkind. 2023. S. 3212-3220 (IJCAI International Joint Conference on Artificial Intelligence).
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title = "Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation.",
abstract = "Argumentation is a well-established formalism for nonmonotonic reasoning and a vibrant area of research in AI. Claim-augmented argumentation frameworks (CAFs) have been introduced to deploy a conclusion-oriented perspective. CAFs expand argumentation frameworks by an additional step which involves retaining claims for an accepted set of arguments. We introduce a novel concept of a justification status for claims, a quantitative measure of extensions supporting a particular claim. The well-studied problems of credulous and skeptical reasoning can then be seen as simply the two endpoints of the spectrum when considered as a justification level of a claim. Furthermore, we explore the parameterized complexity of various reasoning problems for CAFs, including the quantitative reasoning for claim assertions. We begin by presenting a suitable graph representation that includes arguments and their associated claims. Our analysis includes the parameter treewidth, and we present decomposition-guided reductions between reasoning problems in CAF and the validity problem for QBF.",
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