Abstract

Linear relation analysis [CH78, Hal79] has been proposed a long time ago as an abstract interpretation which permits to discover linear relations invariantly satisfied by the variables of a program. Here, we propose to apply this general method to variables used to count delays in synchronous programs. The “regular” behavior of these counters makes the results of the analysis especially precise. These results can be applied to code optimization and to the verification of real-time properties of programs.

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