Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
Mark Stefan Kaminski, Sigurd Schneider, Gert Smolka · Logical Methods in Computer Science · 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.