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Computer Science > Logic in Computer Science

arXiv:2208.14381 (cs)
[Submitted on 30 Aug 2022]

Title:Explaining Ontology-Mediated Query Answers using Proofs over Universal Models (Technical Report)

Authors:Christian Alrabbaa, Stefan Borgwardt, Patrick Koopmann, Alisa Kovtunova
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Abstract:In ontology-mediated query answering, access to incomplete data sources is mediated by a conceptual layer constituted by an ontology, which can be formulated in a description logic (DL) or using existential rules. In the literature, there exists a multitude of complex techniques for incorporating ontological knowledge into queries. However, few of these approaches were designed for explainability of the query answers. We tackle this challenge by adapting an existing proof framework toward conjunctive query answering, based on the notion of universal models. We investigate the data and combined complexity of determining the existence of a proof below a given quality threshold, which can be measured in different ways. By distinguishing various parameters such as the shape of the query, we obtain an overview of the complexity of this problem for several Horn DLs.
Comments: Extended version of a paper accepted at 6th International Joint Conference on Rules and Reasoning (RuleML+RR 2022). arXiv admin note: substantial text overlap with arXiv:2206.09758
Subjects: Logic in Computer Science (cs.LO); Databases (cs.DB)
MSC classes: 68-06
ACM classes: F.4.1; I.2.4
Cite as: arXiv:2208.14381 [cs.LO]
  (or arXiv:2208.14381v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.2208.14381

Submission history

From: Alisa Kovtunova [view email]
[v1] Tue, 30 Aug 2022 16:47:15 UTC (80 KB)
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