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Run-time checks and compile-time assertions

By projecting a problem onto the variables corresponding to symbolic constants that can not be determined at compile-time, Omega test can produces a predicate that would allow it to determine at run-time if a particular dependence or dependence direction exits. Omega test is used to obtain an accurate summary of the locations of an array that might be affected by a single assignment statement. Omega test can be used to determine appropriate loop bounds when interchanging loops [1,3].


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