A representation of relations and sets determines the amount of instructions and the form of loops in generated parallel code with using the Omega Calculator [1,2]. An unsimplified set of iterations may cause unnecessary instructions in parallel code and longer time of code execution. Algorithms of the simplification of relations and sets by means of the operation are presented. Under experiments, code of generated loops along with execution time is examined. The algorithms can be used also to reduce amount of one-conjunct relations and sets.
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