{"publication":"arXiv:2505.10982","user_id":"99353","external_id":{"arxiv":["2505.10982"]},"year":"2025","_id":"61066","title":"Facets in Argumentation: A Formal Approach to Argument Significance","citation":{"ama":"Fichte J, Fröhlich N, Hecher M, et al. Facets in Argumentation: A Formal Approach to Argument Significance. arXiv:250510982. Published online 2025.","apa":"Fichte, J., Fröhlich, N., Hecher, M., Lagerkvist, V., Mahmood, Y., Meier, A., & Persson, J. (2025). Facets in Argumentation: A Formal Approach to Argument Significance. In arXiv:2505.10982.","chicago":"Fichte, Johannes, Nicolas Fröhlich, Markus Hecher, Victor Lagerkvist, Yasir Mahmood, Arne Meier, and Jonathan Persson. “Facets in Argumentation: A Formal Approach to Argument Significance.” ArXiv:2505.10982, 2025.","short":"J. Fichte, N. Fröhlich, M. Hecher, V. Lagerkvist, Y. Mahmood, A. Meier, J. Persson, ArXiv:2505.10982 (2025).","bibtex":"@article{Fichte_Fröhlich_Hecher_Lagerkvist_Mahmood_Meier_Persson_2025, title={Facets in Argumentation: A Formal Approach to Argument Significance}, journal={arXiv:2505.10982}, author={Fichte, Johannes and Fröhlich, Nicolas and Hecher, Markus and Lagerkvist, Victor and Mahmood, Yasir and Meier, Arne and Persson, Jonathan}, year={2025} }","ieee":"J. Fichte et al., “Facets in Argumentation: A Formal Approach to Argument Significance,” arXiv:2505.10982. 2025.","mla":"Fichte, Johannes, et al. “Facets in Argumentation: A Formal Approach to Argument Significance.” ArXiv:2505.10982, 2025."},"type":"preprint","date_created":"2025-08-29T08:07:43Z","date_updated":"2025-08-29T08:25:16Z","language":[{"iso":"eng"}],"abstract":[{"text":"Argumentation is a central subarea of Artificial Intelligence (AI) for\r\nmodeling and reasoning about arguments. The semantics of abstract argumentation\r\nframeworks (AFs) is given by sets of arguments (extensions) and conditions on\r\nthe relationship between them, such as stable or admissible. Today's solvers\r\nimplement tasks such as finding extensions, deciding credulous or skeptical\r\nacceptance, counting, or enumerating extensions. While these tasks are well\r\ncharted, the area between decision, counting/enumeration and fine-grained\r\nreasoning requires expensive reasoning so far. We introduce a novel concept\r\n(facets) for reasoning between decision and enumeration. Facets are arguments\r\nthat belong to some extensions (credulous) but not to all extensions\r\n(skeptical). They are most natural when a user aims to navigate, filter, or\r\ncomprehend the significance of specific arguments, according to their needs. We\r\nstudy the complexity and show that tasks involving facets are much easier than\r\ncounting extensions. Finally, we provide an implementation, and conduct\r\nexperiments to demonstrate feasibility.","lang":"eng"}],"department":[{"_id":"574"}],"author":[{"full_name":"Fichte, Johannes","last_name":"Fichte","first_name":"Johannes"},{"first_name":"Nicolas","last_name":"Fröhlich","full_name":"Fröhlich, Nicolas"},{"full_name":"Hecher, Markus","last_name":"Hecher","first_name":"Markus"},{"first_name":"Victor","last_name":"Lagerkvist","full_name":"Lagerkvist, Victor"},{"full_name":"Mahmood, Yasir","last_name":"Mahmood","id":"99353","first_name":"Yasir"},{"first_name":"Arne","full_name":"Meier, Arne","last_name":"Meier"},{"full_name":"Persson, Jonathan","last_name":"Persson","first_name":"Jonathan"}],"status":"public"}