Revisiting Vacuous Reduct Semantics for Abstract Argumentation (Extended Version)
arXiv:2408.14069
Abstract
We consider the notion of a vacuous reduct semantics for abstract argumentation frameworks, which, given two abstract argumentation semantics Ï and Ï, refines Ï (base condition) by accepting only those Ï-extensions that have no non-empty Ï-extension in their reduct (vacuity condition). We give a systematic overview on vacuous reduct semantics resulting from combining different admissibility-based and conflict-free semantics and present a principle-based analysis of vacuous reduct semantics in general. We provide criteria for the inheritance of principle satisfaction by a vacuous reduct semantics from its base and vacuity condition for established as well as recently introduced principles in the context of weak argumentation semantics. We also conduct a principle-based analysis for the special case of undisputed semantics.
The paper has been accepted at ECAI 2024, this is an extended version including proofs of technical results