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An approach to specification of requirements and verification of design for real-time systems is presented, A system is defined by a conventional mathematical model for a dynamic system where application specific state variables denote total functions of real time. Specifications are formulas in a real-time interval logic, where predicates define durations(More)
Based on the diierential action introduced in 12] we extend the action system framework into a hybrid action system framework. Hybrid action systems are to be used in modelling and analysing hybrid systems. The meaning of a hybrid action system is given as an ordinary action system. We also extended the deenition of a parallel composition for action systems(More)
We present an approach to prove safety (collision freedom) of multi-lane motorway traffic with lane-change manoeuvres. This is ultimately a hybrid verification problem due to the continuous dynamics of the cars. We abstract from the dynamics by introducing a new spatial interval logic based on the view of each car. To guarantee safety, we present two(More)
The goal of the Provably Correct Systems project (ProCoS) is to develop a mathematical basis for development of embedded, real-time, computer systems. This survey paper introduces the speciication languages and veriication techniques for four levels of development: Requirements deenition and control design; Transformation to a systems architecture with(More)