Separating Data Examples by Description Logic Concepts with Restricted Signatures

Jung, Jean Christoph, Lutz, Carsten, Pulcini, Hadrien and Wolter, Frank
(2021) Separating Data Examples by Description Logic Concepts with Restricted Signatures. In: International Conference on Principles of Knowledge Representation and Reasoning.

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We study the separation of positive and negative data examples in terms of description logic concepts in the presence of an ontology. In contrast to previous work, we add a signature that specifies a subset of the symbols that can be used for separation, and we admit individual names in that signature. We consider weak and strong versions of the resulting problem that differ in how the negative examples are treated and we distinguish between separation with and without helper symbols. Within this framework, we compare the separating power of different languages and investigate the complexity of deciding separability. While weak separability is shown to be closely related to conservative extensions, strongly separating concepts coincide with Craig interpolants, for suitably defined encodings of the data and ontology. This enables us to transfer known results from those fields to separability. Conversely, we obtain original results on separability that can be transferred backward. For example, rather surprisingly, conservative extensions and weak separability in ALCO are both 3ExpTime-complete.

Item Type: Conference or Workshop Item (Unspecified)
Additional Information: A short version of this paper has been accepted for publication in the Proceedings of KR 2021
Uncontrolled Keywords: cs.LO, cs.LO, 03B70
Divisions: Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User: Symplectic Admin
Date Deposited: 11 Oct 2021 08:00
Last Modified: 18 Jan 2023 21:27
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