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arXiv · 2006.16869

On Finite Entailment of Non-Local Queries in Description Logics

Tomasz Gogacz·Víctor Gutiérrez-Basulto·Albert Gutowski·Yazmín Ibáñez-García·Filip Murlak
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Abstract

We study the problem of finite entailment of ontology-mediated queries. Going beyond local queries, we allow transitive closure over roles. We focus on ontologies formulated in the description logics ALCOI and ALCOQ, extended with transitive closure. For both logics, we show 2EXPTIME upper bounds for finite entailment of unions of conjunctive queries with transitive closure. We also provide a matching lower bound by showing that finite entailment of conjunctive queries with transitive closure in ALC is 2EXPTIME-hard.

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Tomasz Gogacz, Víctor Gutiérrez-Basulto, Albert Gutowski, Yazmín Ibáñez-García, Filip Murlak. 2020-06-30. On Finite Entailment of Non-Local Queries in Description Logics. https://arxiv.org/abs/2006.16869

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