Ranking-based Argumentation Semantics Applied to Logical Argumentation

Ranking-based Argumentation Semantics Applied to Logical Argumentation

Jesse Heyninck, Badran Raddaoui, Christian Straßer

Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence
Main Track. Pages 3268-3276. https://doi.org/10.24963/ijcai.2023/364

In formal argumentation, a distinction can be made between extension-based semantics, where sets of arguments are either (jointly) accepted or not, and ranking-based semantics, where grades of accept- ability are assigned to arguments. Another important distinction is that between abstract approaches, that abstract away from the content of arguments, and structured approaches, that specify a method of constructing argument graphs on the basis of a knowledge base. While ranking-based semantics have been extensively applied to abstract argumentation, few work has been done on ranking-based semantics for structured argumentation. In this paper, we make a systematic investigation into the be- haviour of ranking-based semantics applied to existing formalisms for structured argumentation. We show that a wide class of ranking-based semantics gives rise to so-called culpability measures, and are relatively robust to specific choices in argument construction methods.
Keywords:
Knowledge Representation and Reasoning: KRR: Argumentation