Strong normalization

Strong normalization is a property in mathematical logic and computer science that ensures every sequence of steps in a process—like simplifying an expression—eventually reaches a complete, final form without going into infinite loops. It guarantees that no matter how you choose to perform the steps, you'll always end up with a well-defined, stable result. This concept is crucial for verifying that systems such as programming languages or proofs are consistent and reliable, because it confirms that all processes will conclude in finite time, ensuring predictability and correctness.