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

October 22, 2020 ยท The Ethereal ยท ๐Ÿ› International Conference on Principles of Knowledge Representation and Reasoning

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Pierre Bourhis, Carsten Lutz arXiv ID 2010.11842 Category cs.LO: Logic in CS Cross-listed cs.AI Citations 21 Venue International Conference on Principles of Knowledge Representation and Reasoning Last Checked 2 months ago
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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