G.: Terminating tableaux for graded hybrid logic with global modalities and role hierarchies

Abstract. 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 implemen-tation, the pattern-based approach gives us a NExpTime complexity bound for the decision procedure.