TPAP: an Algebra of Preemptive Processes for Verifying Real-Time Systems with Shared Resources

This paper describes a timed process algebra called TPAP. The aim of this algebra is to allow the modelisation of real time embedded processes sharing common resources, and which are sensitive to communication delays and scheduling strategies. Timed broadcasting and process preemption by interruption events are the two main fundamental notions of the algebra. They allow description of schedulers and asynchronous communication mediums, thus which can be taken into account when verifying the real time behaviour of the global system. We first present the process algebra and discuss its properties. A case study from the avionics area is then developed using TPAP, and formally verified by translation into the UPPAAL model checker.