Subsumption in KL-ONE is undecidable
Proceedings of the first international conference on Principles of knowledge representation and reasoning
A guide to completeness and complexity for modal logics of knowledge and belief
Artificial Intelligence
The Description Logic Handbook
The Description Logic Handbook
A Tableau Decision Procedure for $\mathcal{SHOIQ}$
Journal of Automated Reasoning
Web Semantics: Science, Services and Agents on the World Wide Web
Representing ontologies using description logics, description graphs, and rules
Artificial Intelligence
Decidability of SHIQ with complex role inclusion axioms
Artificial Intelligence
Hypertableau reasoning for description logics
Journal of Artificial Intelligence Research
Ontological product modeling for collaborative design
Advanced Engineering Informatics
An extension of complex role inclusion axioms in the description logic SROIQ
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
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We design a decidable extension of the description logic SROIQ underlying the Web Ontology Language OWL2. The new logic, called SR+OIQ, supports a controlled use of role axioms whose right-hand side may contain role chains or role unions. We give a tableau algorithm for checking concept satisfiability with respect to SR+OIQ ontologies and prove its soundness, completeness and termination.