# Revisiting Vacuous Reduct Semantics for Abstract Argumentation (Extended Version)

arXiv: https://arxiv.org/abs/2408.14069 · HTML: https://mlsanity.com/paper/2408.14069/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 23 references that are in the map.
- First posted on arXiv 26 Aug 2024.

## Builds on (most cited first, 3 of 3)

- [A Comparative Study of Ranking-based Semantics for Abstract Argumentation](https://mlsanity.com/paper/1602.01059/) (2016)
- [SCF2 -- an Argumentation Semantics for Rational Human Judgments on Argument Acceptability: Technical Report](https://mlsanity.com/paper/1908.08406/) (2019)
- [Weakly Complete Semantics Based on Undecidedness Blocking](https://mlsanity.com/paper/2103.10701/) (2021)

## Abstract (arXiv)

We consider the notion of a vacuous reduct semantics for abstract argumentation frameworks, which, given two abstract argumentation semantics σ and τ, refines σ (base condition) by accepting only those σ-extensions that have no non-empty τ-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.