Abstract
The Duration Calculi are calculi for designing real-time software embedded systems. The Calculi overviewed in the paper include the Duration Calculus, the Extended Duration Calculus, the Mean Value Calculus and the Probabilistic Duration Calculus. They are extensions of an Interval Temporal Logic, and can accommodate some concepts of mathematical analysis such as integrals, mean values, piecewise continuity and differentiability of functions over continuous time. The Calculi can be used to capture and refine real-time requirements for hybrid systems, to define real-time behaviour/semantics of computing systems, and to calculate system dependability in terms of requirement satisfaction probability.
On leave of absence from the Software Institute, the Chinese Academy of Sciences, Beijing, China.
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References
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Chaochen, Z. (1993). Duration Calculi: An overview. In: Bjørner, D., Broy, M., Pottosin, I.V. (eds) Formal Methods in Programming and Their Applications. Lecture Notes in Computer Science, vol 735. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039713
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DOI: https://doi.org/10.1007/BFb0039713
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