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.

• Type: Conference
• Year: 2009
• Where: TABLEAUX
• Authors: Mark Kaminski, Sigurd Schneider, Gert Smolka
• Keywords: Artificial Intelligence, NExpTime Complexity Bound, Pattern-based Blocking, TABLEAUX 2009, Terminating Tableau Calculus