Multi-Dimensional Modal Logic as a Framework for Spatio-Temporal Reasoning
Applied Intelligence
Using Temporal Logic for Spatial Reasoning: Spatial Propositional Neighborhood Logic
TIME '06 Proceedings of the Thirteenth International Symposium on Temporal Representation and Reasoning
An optimal Tableau-based decision algorithm for propositional neighborhood logic
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
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In this paper we develop a new modal logic for spatial reasoning called Temporalized Propositional Neighborhood Logic, which is the result of the application of a known technique called temporalization to a known temporal logic for spatial reasoning (PNL). We will show that our logic is expressive enough to formalize interesting spatial statements and that it is decidable in NEXPTIME.