Combining Existential Rules and Description Logics

Abstract :

Query answering under existential rules — implications with existential quantifiers in the head — is known to be decidable when imposing restrictions on the rule bodies such as frontier-guardedness [Baget et al., 2010; Baget et al., 2011a]. Query answering is also decidable for description logics [Baader, 2003], which further allow disjunction and functionality constraints (assert that certain relations are functions); however, they are focused on ER-type schemas, where relations have arity two. This work investigates how to get the best of both worlds: having decidable existential rules on arbitrary arity relations, while allowing rich description logics, including functionality constraints, on arity-two relations. We first show negative results on combining such decidable languages. Second, we introduce an expressive set of existential rules (frontier-one rules with a certain restriction) which can be combined with powerful constraints on arity-two relations (e.g. GC2, ALCQIb) while retaining decidable query answering. Further, we provide conditions to add functionality constraints on the higher-arity relations.

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Conference papers
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https://hal-imt.archives-ouvertes.fr/hal-01190601
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Submitted on : Tuesday, September 1, 2015 - 2:24:02 PM
Last modification on : Friday, June 7, 2019 - 11:08:28 AM

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  • HAL Id : hal-01190601, version 1

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Antoine Amarilli, Michael Benedikt. Combining Existential Rules and Description Logics. IJCAI 2015, Jul 2015, Buenos Aires, Argentina. pp.2691-2697. ⟨hal-01190601⟩

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