Abstract
We introduce Timed Multi-Lane Spatial Logic (TMLSL), a logic to express spatial and timing properties in highway traffic. For this purpose, we combine State-Clock Logic (SCL) and Multi-Lane Spatial Logic with Scopes (MLSLS), using MLSLS formulae as the propositions from which SCL formulae are built. SCL enables one to state through which phases a car has to pass when performing manoeuvres, like changing lanes. The phases themselves are described in the spatial logic MLSLS. Additionally, it is possible to express explicit timing constraints regarding the change of phases. Alongside the logic itself, we give a procedure to semi–decide whether there exists a run for a given traffic situation that satisfies a specification given in TMLSL.
This research was partially supported by the German Research Council (DFG) in the Research Training Group GRK 1765 SCARE.
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Bischopink, C., Olderog, ER. (2022). Spatial and Timing Properties in Highway Traffic. In: Seidl, H., Liu, Z., Pasareanu, C.S. (eds) Theoretical Aspects of Computing – ICTAC 2022. ICTAC 2022. Lecture Notes in Computer Science, vol 13572. Springer, Cham. https://doi.org/10.1007/978-3-031-17715-6_9
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