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Saarland University Computer Science

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

Mark Kaminski, Sigurd Schneider, Gert Smolka

Logical Methods in Computer Science 7(1:5), March 2011

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.

Available at the LMCS web page or at arXiv (arXiv:1012.0746).

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