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Expressive Completeness of Existential Rule Languages for Ontology-Based Query Answering

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Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence. Pages 1330-1336.

Abstract

Existential rules, also known as data dependencies in Databases, have been recently rediscovered as a promising family of languages for Ontology-based Query Answering. In this paper, we prove that disjunctive embedded dependencies exactly capture the class of recursively enumerable ontologies in Ontology-based Conjunctive Query Answering (OCQA). Our expressive completeness result does not rely on any built-in linear order on the database. To establish the expressive completeness, we introduce a novel semantic definition for OCQA ontologies. We also show that neither the class of disjunctive tuple-generating dependencies nor the class of embedded dependencies is expressively complete for recursively enumerable OCQA ontologies.

Heng Zhang, Yan Zhang, and Jia-Huai You. 2016. Expressive Completeness of Existential Rule Languages for Ontology-Based Query Answering. In Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-16. IJCAI, 1330–1336. https://ijcai.org/proceedings/2016/192
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