Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation.

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

Authors

  • Johannes Klaus 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 publicationProceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023
EditorsEdith Elkind
Pages3212-3220
Number of pages9
ISBN (electronic)9781956792034
Publication statusPublished - 2023

Publication series

NameIJCAI International Joint Conference on Artificial Intelligence
Volume2023-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.

Cite this

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. ed. / Edith Elkind. 2023. p. 3212-3220 (IJCAI International Joint Conference on Artificial Intelligence; Vol. 2023-August).

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

Fichte, JK, Hecher, M, Mahmood, Y & Meier, A 2023, Quantitative Reasoning and Structural Complexity for Claim-Centric Argumentation. in E Elkind (ed.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. IJCAI International Joint Conference on Artificial Intelligence, vol. 2023-August, pp. 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 (Ed.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023 (pp. 3212-3220). (IJCAI International Joint Conference on Artificial Intelligence; Vol. 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, editor, Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. 2023. p. 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. editor / Edith Elkind. 2023. pp. 3212-3220 (IJCAI International Joint Conference on Artificial Intelligence).
Download
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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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