Abstract
We incorporate time into an interleaving model of concurrency. In timed transition systems, the qualitative fairness requirements of traditional transition system are replaced (and superseded) by quantitative lower-bound and upperbound timing constraints on transitions. The purpose of this paper is to explore the scope of applicability for the abstract model of timed transition systems. We demonstrate that the model can represent a wide variety of phenomena that routinely occur in conjunction with the timed execution of concurrent processes. Our treatment covers both processes that are executed in parallel on separate processors and communicate either through shared variables or by message passing, and processes that time-share a limited number of processors under a given scheduling policy. Often it is this scheduling policy that determines if a system meets its real-time requirements. Thus we explicitly address such questions as time-outs, interrupts, static and dynamic priorities.
This research was supported in part by an IBM graduate fellowship, by the National Science Foundation grants CCR-89-11512 and CCR-89-13641, by the Defense Advanced Research Projects Agency under contract N00039-84-C-0211, by the United States Air Force Office of Scientific Research under contract AFOSR-90-0057, and by the European Community ESPRIT Basic Research Action project 3096 (SPEC).
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Henzinger, T.A., Manna, Z., Pnueli, A. (1992). Timed transition systems. In: de Bakker, J.W., Huizing, C., de Roever, W.P., Rozenberg, G. (eds) Real-Time: Theory in Practice. REX 1991. Lecture Notes in Computer Science, vol 600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031995
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DOI: https://doi.org/10.1007/BFb0031995
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