Creative Commons Attribution 4.0 International license
The Web Ontology Language (OWL), grounded in description logics, enables reasoning systems to infer implicit knowledge in a transparent manner. However, the expressivity of description logics and the complexity of large ontologies often results in reasoning outcomes that are hard to understand without additional tool support. Explanations of these outcomes are essential for users to understand ontology content, communicate its structure and behavior effectively, and debug undesired or missing inferences. This chapter provides an overview of the central explanation techniques that have been developed for explaining reasoning with description logic ontologies. Here, we consider both explanations for positive entailments (explaining why something can be deduced), as well as negative entailments (why something cannot be deduced). More specifically, we discuss justifications, proofs and interpolation as a means to explain positive entailments, and abduction for explaining negative entailments, where we also have a closer look at practical algorithms as well as practical and theoretical challenges.
@InProceedings{koopmann:OASIcs.RW.2024/2025.6,
author = {Koopmann, Patrick},
title = {{Explaining Reasoning Results for Description Logic Ontologies}},
booktitle = {Joint Proceedings of the 20th and 21st Reasoning Web Summer Schools (RW 2024 \& RW 2025)},
pages = {6:1--6:29},
series = {Open Access Series in Informatics (OASIcs)},
ISBN = {978-3-95977-405-5},
ISSN = {2190-6807},
year = {2025},
volume = {138},
editor = {Artale, Alessandro and Bienvenu, Meghyn and Garc{\'\i}a, Yazm{\'\i}n Ib\'{a}\~{n}ez and Murlak, Filip},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.RW.2024/2025.6},
URN = {urn:nbn:de:0030-drops-250514},
doi = {10.4230/OASIcs.RW.2024/2025.6},
annote = {Keywords: Explanations, Justifications, Proofs, Craig Interpolation, Contrastive Explanations}
}