Admissible sets of arguments in a timed context

Abstract

Timed abstract frameworks (TAFs) are a novel formalism for argumentation where arguments are valid only during specific intervals of time, called availability intervals. Attacks between arguments are relevant only when both the attacker and the attacked arguments are available. Thus, the outcome of the framework may vary in time. Previous formalization of TAFs are based on discrete time, with single-interval argument validity. In this work we study argument admissibility notions in a timed abstract framework with intermittent arguments under a dense time representation.