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Containment in Monadic Disjunctive Datalog, MMSNP, and Expressive Description Logics

2020-10-22 16:25:00
Pierre Bourhis, Carsten Lutz
arXiv_AI
     
Abstract

We study query containment in three closely related formalisms: monadic disjunctive Datalog (MDDLog), MMSNP (a logical generalization of constraint satisfaction problems), and ontology-mediated queries (OMQs) based on expressive description logics and unions of conjunctive queries. Containment in MMSNP was known to be decidable due to a result by Feder and Vardi, but its exact complexity has remained open. We prove 2NEXPTIME-completeness and extend this result to monadic disjunctive Datalog and to OMQs.

Abstract (translated)

URL

https://arxiv.org/abs/2010.11842

PDF

https://arxiv.org/pdf/2010.11842.pdf

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