On Independence and SCC-Recursiveness in Assumption-Based Argumentation
Abstract
We introduce a notion of conditional independence in (flat) assumption-based argumentation (ABA), where independence between (sets of) assumptions amounts to the presence of information about one set of assumptions not impacting the acceptability of another. We study general properties, computational complexity, and the relation to independence in abstract argumentation. In light of the high computational complexity of deciding independence, we introduce sound methods for checking independence in polynomial time via two different routes: the first utilizes the strongly connected components (SCCs) of the instantiated abstract argumentation framework; the second exploits the structure of the ABA framework directly. Along the way, we introduce the notion of SCC-recursiveness for ABA.
Cite
Text
Blümel et al. "On Independence and SCC-Recursiveness in Assumption-Based Argumentation." International Joint Conference on Artificial Intelligence, 2025. doi:10.24963/IJCAI.2025/488Markdown
[Blümel et al. "On Independence and SCC-Recursiveness in Assumption-Based Argumentation." International Joint Conference on Artificial Intelligence, 2025.](https://mlanthology.org/ijcai/2025/blumel2025ijcai-independence/) doi:10.24963/IJCAI.2025/488BibTeX
@inproceedings{blumel2025ijcai-independence,
title = {{On Independence and SCC-Recursiveness in Assumption-Based Argumentation}},
author = {Blümel, Lydia and Rapberger, Anna and Thimm, Matthias and Toni, Francesca},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2025},
pages = {4382-4390},
doi = {10.24963/IJCAI.2025/488},
url = {https://mlanthology.org/ijcai/2025/blumel2025ijcai-independence/}
}