Abstract
The Multi-Lane Spatial Logic MLSL introduced by Hilscher et al. in [4] is a two-dimensional spatial logic geared towards modelling and analysis of traffic situations, where the two dimensions are interpreted as the lanes of a road and the distance travelled down that road, respectively. The intended use of MLSL is for capturing (and reasoning about) guards and invariants in decision-making schemes for highly automated driving [12]. Unfortunately, the logic turns out to be undecidable [7, 8, 11], rendering implementability and thus the actual use of such guard conditions in real-time decision making questionable in general.
We here show that under a reasonable model of technical observation of the traffic situation, the actual decidability and implementability issues take a much more pleasing form: given that an actual autonomous car can only sample state information of a finite set of environmental cars in real-time, we show that it is decidable whether truth of an arbitrary MLSL formula can be safely determined on a given sample size. For such feasible formulas, we furthermore state a procedure for determining their truth values based on such a sample.
M. Fränzle—Work of the author was partially supported by Deutsche Forschungsgemeinschaft within the Transregional Collaborative Research Center SFB/TR 14 AVACS.
M.R. Hansen—Work of the author was partially supported by the Danish Research Foundation for Basic Research within the IDEA4CPS project.
H. Ody—Work of the author was partially supported by Deutsche Forschungsgemeinschaft within the Research Training Group DFG GRK 1765 SCARE.
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Fränzle, M., Hansen, M.R., Ody, H. (2015). No Need Knowing Numerous Neighbours. In: Meyer, R., Platzer, A., Wehrheim, H. (eds) Correct System Design. Lecture Notes in Computer Science(), vol 9360. Springer, Cham. https://doi.org/10.1007/978-3-319-23506-6_11
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DOI: https://doi.org/10.1007/978-3-319-23506-6_11
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