Marco Benini, Federico Gobbo, and Jean Wagemans published The logic of the arguer: Representing natural argumentative in Adpositional Argumentation in the Journal of Applied Logics. The paper is the most comprehensive work on Adpositional Argumentation (AdArg) so far, covering a wide range of linguistic and pragmatic levels of abstraction (from utterance and voice to argument types and argumentation structures).
Reference
Gobbo, F., Benini, M., & Wagemans, J.H.M. (2023). The logic of the arguer: Representing natural argumentative discourse in Adpositional Argumentation. Journal of Applied Logics, 10(3), 451-483.
Abstract
In this paper, we show how to represent natural argumentative discourse through Adpositional Argumentation, a uniform framework for expressing linguistic and pragmatic aspects of such discourse on various levels of abstraction. Starting from representing the utterer and the utterance, we expand to claims and minimal arguments, finally focusing on complex argumentation in three different structures: convergent (many premises), divergent (many conclusions), and serial (an argument whose premise is the conclusion of another argument). An innovative feature of the framework is that it enables the analyst to provide a granular description of natural argumentative discourse, thus letting the logic of the arguer dynamically unfold while the discourse is presented without enforcing any particular interpretation.
LANCAR 