Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
arXiv:1012.0746 · doi:10.2168/LMCS-7(1:5)2011
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 implementation, the pattern-based approach gives us a NExpTime complexity bound for the decision procedure.