Practical Reasoning for Description Logics with Functional Restrictions, Inverse and Transitive Roles, and Role Hierarchies

Ian HorrocksIan Horrocks, Ulrike SattlerUlrike Sattler, Stephan TobiesStephan Tobies

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Ian Horrocks, Ulrike Sattler, Stephan Tobies
Practical Reasoning for Description Logics with Functional Restrictions, Inverse and Transitive Roles, and Role Hierarchies
Proceedings of the 1999 Workshop Methods for Modalities (M4M-1), 1999

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KurzfassungAbstract
Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can be computationally problematical.
We present an algorithm that decides satisfiability of the DL ALC extended with transitive and inverse roles, role hierarchies, and functional restrictions; early experiments indicate that this algorithm is well-suited for implementation. Additionally, we show that ALC extended with just transitive and inverse roles is still in PSPACE.
Finally, we investigate the limits of decidability for this family of DLs, showing that relaxing the constraints placed on the kinds of roles used in number restrictions leads to the undecidability of all inference problems.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{ HorrocksSattlerTobies-M4M-99,
  address = {Amsterdam},
  author = {Ian {Horrocks} and Ulrike {Sattler} and Stephan {Tobies}},
  booktitle = {Proceedings of the 1999 Workshop Methods for Modalities (M4M-1)},
  title = {Practical Reasoning for Description Logics with Functional Restrictions, Inverse and Transitive Roles, and Role Hierarchies},
  year = {1999},
}