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One of the major difficulties of explicit parallel programming for a shared memory machine model is detecting the potential for nondeterminacy and identifying its causes. There will often be shared variables in a parallel program, and the tasks comprising the program may need to be synchronized when accessing these variables. This paper discusses this problem and presents a method for automatically detecting non-determinacy in parallel programs that utilize event style synchronization instructions, using the Post, Wait, and Clear primitives. With event style synchronization, especially when there are many references to the same event, the difficulty lies in computing the execution order that is guaranteed given the synchronization instructions and the sequential components of the program. The main result in this paper is an algorithm that computes such an execution order and yields a Task Graph upon which a nondeterminacy detection algorithm can be applied. We have focused on events because they are a frequently used synchronization mechanism in parallel versions of Fortran, including Cray [Cray87], IBM [IBM88], Cedar [GPHL88], and PCF Fortran [PCF88].