Stratified Labelings for Abstract Argumentation

TL;DR

This paper introduces stratified labelings for abstract argumentation, offering a more nuanced ranking-based assessment of argument controversiality and relating it to conditional logic and System Z.

Contribution

It presents a novel stratified labeling approach that refines argument evaluation beyond traditional labels, connecting it to established logical ranking systems.

Findings

Stratified labelings provide a more detailed controversiality ranking.

The framework relates to conditional logic and System Z.

Enhanced argument assessment precision.

Abstract

We introduce stratified labelings as a novel semantical approach to abstract argumentation frameworks. Compared to standard labelings, stratified labelings provide a more fine-grained assessment of the controversiality of arguments using ranks instead of the usual labels in, out, and undecided. We relate the framework of stratified labelings to conditional logic and, in particular, to the System Z ranking functions.