The Description Logic Handbook
The Description Logic Handbook
Semantic forgetting in answer set programming
Artificial Intelligence
The Logical Difference Problem for Description Logic Terminologies
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Knowledge forgetting: Properties and applications
Artificial Intelligence
Propositional independence: formula-variable independence and forgetting
Journal of Artificial Intelligence Research
Forgetting and uniform interpolation in large-scale description logic terminologies
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Concept and Role Forgetting in ${\mathcal {ALC}}$ Ontologies
ISWC '09 Proceedings of the 8th International Semantic Web Conference
Forgetting concepts in DL-lite
ESWC'08 Proceedings of the 5th European semantic web conference on The semantic web: research and applications
FaCT++ description logic reasoner: system description
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Foundations for uniform interpolation and forgetting in expressive description logics
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
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The notion of uniform interpolation for description logic $\mathcal{ALC}$ has been introduced in [9]. In this paper, we reformulate the uniform interpolation for $\mathcal{ALC}$ from the angle of forgetting and show that it satisfies all desired properties of forgetting. Then we introduce an algorithm for computing the result of forgetting in concept descriptions. We present a detailed proof for the correctness of our algorithm using the Tableau for $\mathcal{ALC}$. Our results have been used to compute forgetting for $\mathcal{ALC}$ knowledge bases.