A labelling framework for probabilistic argumentation

The combination of argumentation and probability paves the way to new accounts
of qualitative and quantitative uncertainty, thereby offering new theoretical and applicative
opportunities. Due to a variety of interests, probabilistic argumentation is approached in the
literature with different frameworks, pertaining to structured and abstract argumentation,
and with respect to diverse types of uncertainty, in particular the uncertainty on the credibility
of the premises, the uncertainty about which arguments to consider, and the uncertainty
on the acceptance status of arguments or statements. Towards a general framework for probabilistic
argumentation, we investigate a labelling-oriented framework encompassing a basic setting for rule-based argumentation and its (semi-) abstract account, along with diverse types of uncertainty. Our framework provides a systematic treatment of various kinds of uncertainty and of their relationships and allows us to back or question assertions from the literature.