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On Finite Entailment of Non-Local Queries in Description Logics

2020-06-30 14:57:12
Tomasz Gogacz, Víctor Gutiérrez-Basulto, Albert Gutowski, Yazmín Ibáñez-García, Filip Murlak
arXiv_AI
     
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.

Abstract (translated)

URL

https://arxiv.org/abs/2006.16869

PDF

https://arxiv.org/pdf/2006.16869.pdf

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