The Curry-Howard correspondence is a deep connection between logic and computer science, specifically between formal proofs and programming languages. It states that every logical proposition corresponds to a type in a programming language, while a proof of that proposition corresponds to a program of that type. This means that proving a statement is akin to writing a function that adheres to a specific type. This correspondence allows for a better understanding of both fields. For example, in the context of lambda calculus, a foundational concept in computer science, functions can be seen as proofs, and their types as the logical statements they validate. This relationship enhances the development of type systems in programming languages, making them more robust and reliable.