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

Pierre Bourhis; Carsten Lutz

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arXiv · 2010.11842

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

Pierre Bourhis·Carsten Lutz

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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.

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Pierre Bourhis, Carsten Lutz. 2020-10-22. Containment in Monadic Disjunctive Datalog, MMSNP, and Expressive Description Logics. https://arxiv.org/abs/2010.11842

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