The Complexity of Finite Model Reasoning in Description Logics

Carsten Lutz, Ulrike Sattler, Lidia Tendera

Research output: Book/ReportCommissioned report

Abstract

We analyze the complexity of finite model reasoning in the description logic ALCQI, i.e. ALC augmented with qualifying number restrictions, inverse roles, and general TBoxes. It turns out that all relevant reasoning tasks such as concept satisfiability and ABox consistency are EXPTIME-complete, regardless of whether the numbers in number restrictions are coded unarily or binarily. Thus, finite model reasoning with ALCQI is not harder than standard reasoning with ALCQI.
Original languageEnglish
Place of PublicationDresden
PublisherTechnische Universität Dresden
Number of pages33
DOIs
Publication statusPublished - 2002

Publication series

NameLTCS Report
PublisherTechnische Universität Dresden
No.05
Volume02

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