OXFORD UNIVERSITY COMPUTING LABORATORY

Role Conjunctions in Expressive Description Logics

Birte Glimm and Yevgeny Kazakov

abstract

We show that adding role conjunctions to the Description Logics (DLs) SHI and SHOIF causes a jump in the computational complexity of the standard reasoning tasks from ExpTime-complete to 2ExpTime-complete and from NExpTime-complete to N2ExpTime-hard respectively. We further show that this increase is due to a subtle interaction between inverse roles, role hierarchies, and role transitivity in the presence of role conjunctions and that for the DL SHQ a jump in the computational complexity cannot be observed.

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LPAR 2008, To appear

year

2008

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