Church–Rosser Theorem

The Church–Rosser Theorem is a fundamental result in mathematical logic and computer science that deals with the process of simplifying expressions or calculations. It states that if a complex problem can be simplified in different ways, all paths of simplification will eventually lead to a common, consistent result, assuming the rewriting rules are applied correctly. This means the process is reliable: no matter how you choose to simplify a problem, you'll arrive at the same final answer, ensuring consistency and predictability in formal systems and calculations.