A Quick Introduction to Functional Verification of Array-Intensive Programs

Abstract: Array-intensive programs are often amenable to parallelization across many cores on a single machine as well as scaling across multiple machines and hence are well explored, especially in the domain of high-performance computing. These programs typically undergo loop transformations and arithmetic transformations in addition to parallelizing transformations. Although a lot of effort has been invested in improving parallelizing compilers, experienced programmers still resort to hand-optimized transformations which is typically followed by careful tuning of the transformed program to finally obtain the optimized program. Therefore, it is critical to verify that the functional correctness of an original sequential program is not sacrificed during the process of optimization. In this paper, we cover important literature on functional verification of array-intensive programs which we believe can be a good starting point for one interested in this field.