Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
Logic in Computer Science
2015-07-01 v3
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.
Keywords
Cite
@article{arxiv.1012.0746,
title = {Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies},
author = {Mark Kaminski and Sigurd Schneider and Gert Smolka},
journal= {arXiv preprint arXiv:1012.0746},
year = {2015}
}