Towards Ranking-based Semantics for Abstract Argumentation using Conditional Logic Semantics

TL;DR

This paper introduces a new ranking-based semantics for abstract argumentation frameworks using conditional logic, enabling more nuanced argument evaluation with desirable properties.

Contribution

It presents a novel approach that translates argumentation frameworks into conditional logics to generate argument rankings, a new method in the field.

Findings

Successfully generates argument rankings using conditional logic

Satisfies several desirable properties for argument rankings

Provides an intuitive translation method for argumentation frameworks

Abstract

We propose a novel ranking-based semantics for Dung-style argumentation frameworks with the help of conditional logics. Using an intuitive translation for an argumentation framework to generate conditionals, we can apply nonmonotonic inference systems to generate a ranking on possible worlds. With this ranking we construct a ranking for our arguments. With a small extension to this ranking-based semantics we already satisfy some desirable properties for a ranking over arguments.