Representing Abstract Dialectical Frameworks with Binary Decision Diagrams

Stefan EllmauthalerStefan Ellmauthaler, Sarah Alice GagglSarah Alice Gaggl, Dominik RusovacDominik Rusovac, Johannes P. WallnerJohannes P. Wallner

ISBN: 978-3-031-15707-3
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Stefan Ellmauthaler, Sarah Alice Gaggl, Dominik Rusovac, Johannes P. Wallner
Representing Abstract Dialectical Frameworks with Binary Decision Diagrams
In G. Gottlob, D Inclezan, M. Maratea, eds., Proceedings of the 16th International Conference on Logic Programming and Non-monotonic Reasoning (LPNMR 2022), volume 13416 of Lecture Notes in Computer Science, 177-198, 2022. Springer

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KurzfassungAbstract
Abstract dialectical frameworks (ADFs) are a well-studied generalisation of the prominent argumentation frameworks due to Phan Minh Dung. In this paper we propose to use reduced ordered binary decision diagrams (roBDDs) as a suitable representation of the acceptance conditions of arguments within ADFs. We first show that computational complexity of reasoning on ADFs represented by roBDDs is milder than in the general case, with a drop of one level in the polynomial hierarchy. Furthermore, we present a framework to systematically define heuristics for search space exploitation, based on easily retrievable properties of roBDDs and the recently proposed approach of weighted faceted navigation for answer set programming. Finally, we present preliminary experiments of an implementation of our approach showing promise both when compared to state-of-the-art solvers and when developing heuristics for reasoning.
Weitere Informationen unter:Further Information: Link
Projekt:Project: CPEC, NAVAS, ScaDS.AI
Verknüpfte Tools:Related Tools: adf-bdd
Forschungsgruppe:Research Group: Logische Programmierung und ArgumentationLogic Programming and Argumentation, Wissensbasierte SystemeKnowledge-Based Systems

The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-031-15707-3_14.

@inproceedings{EGRW2022,
  author    = {Stefan Ellmauthaler and Sarah Alice Gaggl and Dominik Rusovac and
               Johannes P. Wallner},
  title     = {Representing Abstract Dialectical Frameworks with Binary Decision
               Diagrams},
  editor    = {G. Gottlob and D Inclezan and M. Maratea},
  booktitle = {Proceedings of the 16th International Conference on Logic
               Programming and Non-monotonic Reasoning (LPNMR 2022)},
  series    = {Lecture Notes in Computer Science},
  volume    = {13416},
  publisher = {Springer},
  year      = {2022},
  pages     = {177-198},
  doi       = {10.1007/978-3-031-15707-3_14}
}