Differential logic for reasoning about hybrid systems

Authors:
André Platzer
Affiliations:
Carnegie Mellon University, Computer Science Department, Pittsburgh, PA and University of Oldenburg, Department of Computing Science, Germany
Venue:
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Year:
2007

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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.