On the Semantic Equivalence of a Program and Any of its Intermediate Representations

The central goal of this thesis is to develop a practical approach to validating the correctness of SSA forms. Since achieving this goal is very involved for a general program, we restrict our attention to simple programs. In particular, the programs we consider are loop-free and are comprised of simple assignments to scalar variables, as well as input and output statements. Even for such a simple program, a full formal treatment would be very involved, extending beyond the scope of an undergraduate honors thesis.