Preliminary study on reinstatement labelling for weighted argumentation frameworks

Argumentation Theory allows for reasoning with uncertain and controversial information, and provides tools for deciding which arguments (for instance, of a debate) can be accepted together. The strength of an argument and its attacks can be expressed through weighted argumentation frameworks; in this case, the selection criteria, called semantics, used to identify the sets of acceptable arguments, need to take into account the information given by the weights. In this paper, we conduct an initial study on a novel labelling semantics for weighted argumentation frameworks, extending and generalising the crisp one.