# Some Results about the Expressivity of Preference-Incomplete Structured Argumentation Frameworks

arXiv: https://arxiv.org/abs/2606.23055 · HTML: https://mlsanity.com/paper/2606.23055/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 20 references that are in the map.
- First posted on arXiv 22 Jun 2026.

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

- [A General Account of Argumentation with Preferences](https://mlsanity.com/paper/1804.06763/) (2018)
- [Qualitative uncertainty and dynamics of argumentation through dynamic logic](https://mlsanity.com/paper/2302.03305/) (2023)
- [Comparative Expressivity for Structured Argumentation Frameworks with Uncertain Rules and Premises](https://mlsanity.com/paper/2510.18631/) (2025)

## Abstract (arXiv)

This paper studies the expressive power of ASPIC^+ argumentation frameworks with uncertain preference profiles by comparing them with several abstract formalisms with uncertain defeats. Most of our results are negative (and some of them are theoretically unexpected). We also conjecture a positive, non-trivial threshold for the expressivity of uncertain preferences, and prove some essential preliminary steps toward the confirmation of this conjecture.