Conjunctive query answering for the description logic SHIQ

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 pape...

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Hauptverfasser: Glimm, B, Horrocks, I, Luts, C, Sattler, U
Format: Journal article
Sprache:English
Veröffentlicht: 2008
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author Glimm, B
Horrocks, I
Luts, C
Sattler, U
author_facet Glimm, B
Horrocks, I
Luts, C
Sattler, U
author_sort Glimm, B
collection OXFORD
description 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 this setting and establish two tight complexity bounds: regarding combined complexity, we prove that there is a deterministic algorithm for query answering that needs time single exponential in the size of the KB and double exponential in the size of the query, which is optimal. Regarding data complexity, we prove containment in co-NP. ©2008 AI Access Foundation. All rights reserved.
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spelling oxford-uuid:e8209e56-c550-4bd2-a9f3-d9c266f676b82022-03-27T10:44:20ZConjunctive query answering for the description logic SHIQJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e8209e56-c550-4bd2-a9f3-d9c266f676b8EnglishSymplectic Elements at Oxford2008Glimm, BHorrocks, ILuts, CSattler, UConjunctive 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 this setting and establish two tight complexity bounds: regarding combined complexity, we prove that there is a deterministic algorithm for query answering that needs time single exponential in the size of the KB and double exponential in the size of the query, which is optimal. Regarding data complexity, we prove containment in co-NP. ©2008 AI Access Foundation. All rights reserved.
spellingShingle Glimm, B
Horrocks, I
Luts, C
Sattler, U
Conjunctive query answering for the description logic SHIQ
title Conjunctive query answering for the description logic SHIQ
title_full Conjunctive query answering for the description logic SHIQ
title_fullStr Conjunctive query answering for the description logic SHIQ
title_full_unstemmed Conjunctive query answering for the description logic SHIQ
title_short Conjunctive query answering for the description logic SHIQ
title_sort conjunctive query answering for the description logic shiq
work_keys_str_mv AT glimmb conjunctivequeryansweringforthedescriptionlogicshiq
AT horrocksi conjunctivequeryansweringforthedescriptionlogicshiq
AT lutsc conjunctivequeryansweringforthedescriptionlogicshiq
AT sattleru conjunctivequeryansweringforthedescriptionlogicshiq