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2017
DOI: 10.1007/978-3-319-58068-5_32
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Lean Kernels in Description Logics

Abstract: Lean kernels (LKs) are an effective optimization for deriving the causes of unsatisfiability of a propositional formula. Interestingly, no analogous notion exists for explaining consequences of description logic (DL) ontologies. We introduce LKs for DLs using a general notion of consequence-based methods, and provide an algorithm for computing them which incurs in only a linear time overhead. As an example, we instantiate our framework to the DL ALC. We prove formally and empirically that LKs provide a tighter… Show more

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Cited by 12 publications
(14 citation statements)
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References 29 publications
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“…In essence, these modules are sub-ontologies that contain the union of all justifications. Different techniques balancing the computation time and the quality of the approximation have been proposed [12,13,25,28], but in general the methods based on a syntactic analysis of the ontology tend to behave better.…”
Section: Iar Repairsmentioning
confidence: 99%
“…In essence, these modules are sub-ontologies that contain the union of all justifications. Different techniques balancing the computation time and the quality of the approximation have been proposed [12,13,25,28], but in general the methods based on a syntactic analysis of the ontology tend to behave better.…”
Section: Iar Repairsmentioning
confidence: 99%
“…Our approach is based on the construction of a Horn formula encoding the completion-based procedure for atomic subsumption. The methods proposed generalize to any ontology language with consequence-based reasoning algorithms (Peñaloza et al, 2017). Once the propositional formula is obtained, all optimizations apply.…”
Section: Experimental Evaluationmentioning
confidence: 99%
“…The set of axioms dependent on ¬ψ is in general a superset of the reduced uniform interpolant V * and is referred to as V * app , i.e., an approximation of V * . In this paper, dependency tracing is achieved by using annotations, similar to (Kazakov and Skocovský 2017;Koopmann and Chen 2017;Penaloza et al 2017). These take the form of fresh concept names that do not occur in the signature of the ontology nor the observation.…”
Section: Practical Realisationmentioning
confidence: 99%