Normalization Theorem

The Normalization Theorem states that, in certain formal systems like typed lambda calculus, every valid expression (or proof) can be simplified to a standard form called a "normal form." This means that no matter how complex an expression begins, it can be consistently reduced or simplified step-by-step to a more straightforward, canonical version without losing its meaning. This property ensures consistency, predictability, and the possibility of checking proofs or expressions reliably, forming a fundamental foundation for the correctness and structure of logical systems and programming languages.