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arXiv · 1012.0746

Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies

Mark Kaminski·Sigurd Schneider·Gert Smolka
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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.

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Mark Kaminski, Sigurd Schneider, Gert Smolka. 2010-12-03. Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies. https://doi.org/10.2168/lmcs-7(1:5)2011

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