@inproceedings{LehtonenWJ:AAAI2019,
author = {Tuomo Lehtonen and Johannes P. Wallner and Matti J\"arvisalo},
title = {Reasoning over Assumption-Based Argumentation Frameworks via
         Direct Answer Set Programming Encodings},
booktitle = {Proceedings of the 33rd AAAI Conference on Artificial Intelligence (AAAI 2019)},
pages = {2938--2945},
publisher = {AAAI Press},
year = {2019},
}

Abstract:

Focusing on assumption-based argumentation (ABA) as a central structured
formalism to AI argumentation, we propose a new approach to reasoning in
ABA with and without preferences. While previous approaches apply either
specialized algorithms or translate ABA reasoning to reasoning over
abstract argumentation frameworks, we develop a direct approach by
encoding ABA reasoning tasks in answer set programming. This
significantly improves on the empirical performance of current ABA
reasoning systems. We also give new complexity results for reasoning in
ABA+, suggesting that the integration of preferential information into
ABA results in increased problem complexity for several central
argumentation semantics.