A Formal Calculus for the Compositional Pattern-Based Design of Correct Real-Time Systems∗

The trend towards more complex software within today’s technical systems results in an increasing demand for dependable high quality software for realtime systems. In this report the foundations for the compositional pattern-based design of correct high level designs and architectures for real-time systems are presented. A formal calculus including a notion of discrete-time automata, a deadlock preserving refinement notion, and a class of supported compositional constraints is developed. It permits to design the required complex cooperation between the system components using verified patterns and includes support to derived the related correct component behavior in a systematic manner, such that the components itself do not invalidate the verified cooperation patterns. keywords: Real-Time Systems, Compositional Verification, Model Checking, Behavior Synthesis ∗This work was developed in the course of the Special Research Initiative 614 – Self-optimizing Concepts and Structures in Mechanical Engineering – University of Paderborn, and was published on its behalf and funded by the Deutsche Forschungsgemeinschaft.

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