{"type":"ScholarlyArticle","title":"When Incompleteness Does Not Matter: The Case of Incomplete Abstract Argumentation Framework (Under the Possible Perspective)","authors":[{"name":"Bettina Fazzinga","slug":"bettina-fazzinga","given":"Bettina","family":"Fazzinga","affiliation":""},{"name":"Sergio Flesca","slug":"sergio-flesca","given":"Sergio","family":"Flesca","affiliation":""},{"name":"Filippo Furfaro","slug":"filippo-furfaro","given":"Filippo","family":"Furfaro","affiliation":""}],"abstract":"Incomplete Abstract Argumentation Frameworks (iAAFs) extend Abstract Argumentation Frameworks (AAFs) by allowing arguments and attacks to be specified as uncertain, enabling a compact representation of alternative argumentation scenarios. \r\nDespite extensive work on reasoning with iAAFs, their expressive power relative to standard AAFs is still unclear. \r\nWe address this question by studying whether the reasoning based on possible-extensions in iAAFs can be reduced to classical reasoning \r\non AAFs. \r\nOur analysis relates iAAFs and AAFs via two comparison notions:\r\nequivalence, where an AAF yields as extensions exactly the possible extensions of an iAAF, \r\nand projection-equivalence, where such extensions are obtained by projecting away auxiliary arguments.\r\nWe characterize the semantics under which these relationships hold, and, in these cases,  provide constructive transformations from iAAFs to AAFs, thus also enabling classical argumentation tools to be applied to qualitative-uncertainty reasoning.","doi":"10.24963/ijcai.2026/426","url":"https://ijcai.org/proceedings/2026/426","pdf":"https://ijcai.org/proceedings/2026/0426.pdf","markdown":"https://ijcai.org/proceedings/2026/426.md","bibtex":"https://ijcai.org/proceedings/2026/bibtex/426","volume":{"slug":"2026","title":"Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2026","url":"https://ijcai.org/proceedings/2026/","year":2026,"location":"Bremen, Germany","dates":"15-21 August 2026","editors":"Diego Calvanese","isbn":"978-1-956792-09-6","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2026"},"section":"Knowledge Representation and Reasoning","track":"Main Track","number":426,"pages":{"first":3829,"last":3836},"keywords":["Uncertainty in AI: Uncertainty representations","Knowledge Representation and Reasoning: Argumentation"],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}