2008
DOI: 10.1613/jair.2372
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Conjunctive Query Answering for the Description Logic SHIQ

Abstract: Conjunctive queries play an important role as an expressive query language for Description Logics (DLs). Although modern DLs usually provide for transitive roles, conjunctive query answering over DL knowledge bases is only poorly understood if transitive roles are admitted in the query. In this paper, we consider unions of conjunctive queries over knowledge bases formulated in the prominent DL SHIQ and allow transitive roles in both the query and the knowledge base. We show decidability of query answering in t… Show more

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Cited by 153 publications
(182 citation statements)
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“…In particular, the above theorem and the results on CQ/UCQ containment in DLs presented in [20,7,15,25] imply the following property: for all the DLs studied in this paper, NM-satisfiability (as well as FOL-satisfiability) of weakly DL-safe r-hybrid KBs is decidable.…”
Section: Results For Weakly Dl-safe Rulesmentioning
confidence: 60%
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“…In particular, the above theorem and the results on CQ/UCQ containment in DLs presented in [20,7,15,25] imply the following property: for all the DLs studied in this paper, NM-satisfiability (as well as FOL-satisfiability) of weakly DL-safe r-hybrid KBs is decidable.…”
Section: Results For Weakly Dl-safe Rulesmentioning
confidence: 60%
“…-the results for NR-Datalog programs follow from Theorem 1 and from the results in [6,13]; -the well-known translation of arbitrary first-order queries in NR-Datalog ¬ allows for reducing satisfiability of first-order sentences to satisfiability of r-hybrid KBs with NR-Datalog ¬ programs for any choice of the DL language, which immediately implies undecidability of reasoning in this class of r-hybrid KBs.…”
Section: Theorem 5 Let H = (K P) Be a R-hybrid Kb Such That P Is A mentioning
confidence: 89%
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“…We use the term query in the remainder for such BGPs. W.l.o.g., we assume that queries are connected [2]. Let q = {at 1 , .…”
Section: Preliminariesmentioning
confidence: 99%
“…Unfortunately, query answering over OWL 2 DL ontologies is of very high computational complexity [3,4] and even after modern optimisations and intense implementation efforts [5] OWL 2 DL systems are still not able to cope with datasets containing billions of data.…”
Section: Introductionmentioning
confidence: 99%