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Towards Universal Languages for Tractable Ontology Mediated Query Answering

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arxiv 1911.11359 v2 pith:3NRQU4N2 submitted 2019-11-26 cs.AI cs.DBcs.LO

Towards Universal Languages for Tractable Ontology Mediated Query Answering

classification cs.AI cs.DBcs.LO
keywords languagesqueryuniversalansweringconjunctivefamilylanguageomqa-languages
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An ontology language for ontology mediated query answering (OMQA-language) is universal for a family of OMQA-languages if it is the most expressive one among this family. In this paper, we focus on three families of tractable OMQA-languages, including first-order rewritable languages and languages whose data complexity of the query answering is in AC0 or PTIME. On the negative side, we prove that there is, in general, no universal language for each of these families of languages. On the positive side, we propose a novel property, the locality, to approximate the first-order rewritability, and show that there exists a language of disjunctive embedded dependencies that is universal for the family of OMQA-languages with locality. All of these results apply to OMQA with query languages such as conjunctive queries, unions of conjunctive queries and acyclic conjunctive queries.

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