Modeling and Verification of Spatio-Temporal Intelligent Transportation Systems

Describing spatio-temporal behaviors of cyber-physical systems attracts more and more attention in the filed of intelligent transportation systems and biological systems. The major problem is expressiveness and verifiability for modeling and analysis of spatio-temporal behaviors. In order to verify spatial and spatio-temporal behaviors, in this paper, we propose a methodology to model the evolution of spatial scene snapshots and verify the spatio-temporal models. Firstly, we define a novel Topograph through inducing Bigraph in topological space to characterize cyber-physical systems and verify the model against patterns specified with S4u formulas. Secondly, for spatio-temporal verification, we extend Topograph in dense time, named Temporal Topograph, to describe the evolution of spatial objects, which are verified against spatio-temporal specification language. We evaluate the applicability of the approach on CBTC-based intelligent transportation systems.