correctness preserving transformations

Correctness-preserving transformations are methods used in algorithms and programs to change or optimize their structure without altering their intended behavior or results. Think of it like reorganizing a recipe—changing the order of steps or simplifying instructions—so long as the final dish remains the same. These transformations ensure that the program still produces correct outputs and functions as expected, even after modifications. This concept helps improve efficiency, readability, or maintainability while guaranteeing that the original correctness of the program is preserved throughout the transformation process.