Ringo Baumann

On Conflict-free Labellings – Realizability, Construction and Patterns of Redundancy

2023

The paper deals with the topic of realizability in abstract argumentation. More precisely, we consider the most basic kind of labellings, so-called conflict-free labellings. The understanding of these labellings is essential as any mature labelling-based …

Bipolar Abstract Dialectical Frameworks Are Covered by Kleene’s Three-valued Logic

2023

Abstract dialectical frameworks (ADFs) are one of the most powerful generalizations of classical Dung-style argumentation frameworks (AFs). The additional expressive power comes with an increase in computational complexity, namely one level up in the polynomial …