Abstract
Real-time systems play an important role in many safety-critical systems. Hence it is essential to have a formal basis for the development of real-time software. In this chapter we present a predicative semantics for a real-time, wide-spectrum language. The semantics includes a special variable representing the current time, and uses timed traces to represent the values of external input and outputs over time so that reactive control systems can be handled. Because a real-time control system may be a nonterminating process, we allow the specification of nonterminating programs and the development of nonterminating repetitions. We present a set of refinement laws covering the constructs in the language. The laws make use of a relational style similar to that of Cliff Jones, although they have been generalised to handle nonterminating constructs.
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Hayes, I. (2003). A predicative semantics for real-time refinement. In: McIver, A., Morgan, C. (eds) Programming Methodology. Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21798-7_6
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DOI: https://doi.org/10.1007/978-0-387-21798-7_6
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