A Preliminary Report on Probabilistic Attack Normal Form for Constellation Semantics

TL;DR

This paper introduces a normal form for constellation probabilistic abstract argumentation frameworks and demonstrates its equivalence in representation power to the general form, aiding in the analysis of complex argumentation models.

Contribution

It presents a novel normal form for constellation probabilistic frameworks and a transformation method from general frameworks to this normal form.

Findings

Normal form has equal representation power as the general framework.

Transformation from general to normal form is feasible and preserves semantics.

Simplifies analysis of probabilistic argumentation frameworks.

Abstract

After Dung's founding work in Abstract Argumentation Frameworks there has been a growing interest in extending the Dung's semantics in order to describe more complex or real life situations. Several of these approaches take the direction of weighted or probabilistic extensions. One of the most prominent probabilistic approaches is that of constellation Probabilistic Abstract Argumentation Frameworks from Li~et~al. In this paper, we present a normal form for constellation probabilistic abstract argumentation frameworks. Furthermore, we present a transformation from general constellation probabilistic abstract argumentation frameworks to the presented normal form. In this way we illustrate that the simpler normal form has equal representation power with the general one.