Optimal Fixed-Premise Repairs of 𝓔𝓛 TBoxes (Extended Version)

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Reasoners can be used to derive implicit consequences from an ontology. Sometimes unwanted consequences are revealed, indicating errors or privacy-sensitive information, and the ontology needs to be appropriately repaired. The classical approach is to remove just enough axioms such that the unwanted consequences vanish. However, this is often too rough since mere axiom deletion also erases many other consequences that might actually be desired. The goal should not be to remove a minimal number of axioms but to modify the ontology such that only a minimal number of consequences is removed, including the unwanted ones. Specifically, a repair should rather be logically entailed by the input ontology, instead of being a subset. To this end, we introduce a framework for computing fixed-premise repairs of 𝓔𝓛 TBoxes. In the first variant the conclusions must be generalizations of those in the input TBox, while in the second variant no such restriction is imposed. In both variants, every repair is entailed by an optimal one and, up to equivalence, the set of all optimal repairs can be computed in exponential time. A prototypical implementation is provided. In addition, we show new complexity results regarding gentle repairs.


Original languageEnglish
Publication statusPublished - 19 Sept 2022


Title45th German Conference on Artificial Intelligence
Abbreviated titleKI 2022
Conference number45
Duration19 - 23 September 2022
Degree of recognitionInternational event

External IDs

unpaywall 10.25368/2022.321
ORCID /0000-0003-0219-0330/work/153109418