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Diversity of Extensions in Abstract Argumentation
Johannes K. Fichte, Markus Hecher, Yasir Mahmood +1
Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (A…
Structure-Aware Encodings of Argumentation Properties for Clique-width
Yasir Mahmood, Markus Hecher, Johanna Groven +1
Structural measures of graphs, such as treewidth, are central tools in computational complexity resulting in efficient algorithms when exploiting the parameter. It is even known th…
Facets in Argumentation: A Formal Approach to Argument Significance
Johannes Fichte, Nicolas Fröhlich, Markus Hecher +4
Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by…
Rejection in Abstract Argumentation: Harder Than Acceptance?
Johannes K. Fichte, Markus Hecher, Yasir Mahmood +1
Abstract argumentation is a popular toolkit for modeling, evaluating, and comparing arguments. Relationships between arguments are specified in argumentation frameworks (AFs), and…
Parameterized Complexity of Logic-Based Argumentation in Schaefer's Framework
Yasir Mahmood, Arne Meier, Johannes Schmidt
Logic-based argumentation is a well-established formalism modelling nonmonotonic reasoning. It has been playing a major role in AI for decades, now. Informally, a set of formulas i…