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Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies

We present a terminating tableau calculus for graded hybrid logic with global modalities, reflexivity, transitivity and role hierarchies. Termination of the system is achieved through pattern-based blocking. Previous approaches to related logics all rely on chain-based blocking. Besides being conceptually simple and suitable for efficient implementation, the pattern-based approach gives us a NExpTime complexity bound for the decision procedure.

preprint2011arXivOpen access
Mark KaminskiSigurd SchneiderGert Smolka
Logic in Computer Science
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Open access3 authors1 topic
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Mark KaminskiSigurd SchneiderGert Smolka

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