# Qualitative uncertainty and dynamics of argumentation through dynamic logic

arXiv: https://arxiv.org/abs/2302.03305 · HTML: https://mlsanity.com/paper/2302.03305/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 7 Feb 2023.

## Built on by (most cited first, 2 of 2)

- [Comparative Expressivity for Structured Argumentation Frameworks with Uncertain Rules and Premises](https://mlsanity.com/paper/2510.18631/) (2025)
- [Some Results about the Expressivity of Preference-Incomplete Structured Argumentation Frameworks](https://mlsanity.com/paper/2606.23055/) (2026)

## Abstract (arXiv)

Dynamics and uncertainty are essential features of real-life argumentation, and many recent studies have focused on integrating both aspects into Dung's well-known abstract Argumentation Frameworks (AFs). This paper proposes a combination of the two lines of research through a well-behaved logical tool: Dynamic Logic of Propositional Assignments (DL-PA). Our results show that the main reasoning tasks of virtually all existing formalisms qualitatively representing uncertainty about AFs are encodable in DL-PA. Moreover, the same tool is also useful for capturing dynamic structures, such as control argumentation frameworks, as well as for developing more refined forms of argumentative communication under uncertainty.