Abstract
We propose a first-order dynamic logic for reasoning about hybrid systems. As a uniform model for discrete and continuous evolutions in hybrid systems, we introduce hybrid programs with differential actions. Our logic can be used to specify and verify correctness statements about hybrid programs, which are suitable for symbolic processing by calculus rules. Using first-order variables, our logic supports systems with symbolic parameters. With dynamic modalities, it is prepared to handle multiple system components.
This research was supported by a fellowship of the German Academic Exchange Service (DAAD) and by the German Research Council (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR 14 AVACS, see www.avacs.org)
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Platzer, A. (2007). Differential Logic for Reasoning About Hybrid Systems. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_75
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DOI: https://doi.org/10.1007/978-3-540-71493-4_75
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71492-7
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