A Study of Argument Acceptability Dynamics Through Core and Remainder Sets

MARTIN MOGUILLANSKY

Foundations of Information and Knowledge Systems

Springer

Año: 2016; p. 3 - 23

We analyze the acceptability dynamics of arguments through the proposal of two different kinds of minimal sets of arguments, core and remainder sets which are somehow responsible for the acceptability/rejection of a given argument. We develop a study of the consequences of breaking the construction of such sets towards the acceptance, and/or rejection, of an analyzed argument. This brings about the proposal of novel change operations for abstract argumentation first, and for logic-based argumentation, afterwards. The analysis upon logic-based argumentation shows some problems regarding the applicability of the standard semantics. In consequence, a reformulation of the notion of admissibility arises for accommodating the standard semantics upon logic-based argumentation. Finally, the proposed model is formalized in the light of the theory of belief revision by characterizing the corresponding operations through rationality postulates and representation theorems.