Revisiting Vacuous Reduct Semantics for Abstract Argumentation (Extended Version)
<|reference_start|>Revisiting Vacuous Reduct Semantics for Abstract Argumentation (Extended Version): We consider the notion of a vacuous reduct semantics for abstract argumentation frameworks, which, given two abstract argumentation semantics {\sigma} and {\tau}, refines {\sigma} (base condition) by accepting only those {\sigma}-extensions that have no non-empty {\tau}-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.<|reference_end|>
@article{blümel2024revisiting,
    title={Revisiting Vacuous Reduct Semantics for Abstract Argumentation (Extended
  Version)},
    author={Lydia Bl"umel and Matthias Thimm},
    journal={arXiv preprint arXiv:2408.14069},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.14069},
    primaryClass={cs.AI}
}