The Curry-Howard-Lambek correspondence is a profound relationship between logic, computation, and category theory that highlights the connections between propositions, types, and morphisms. It reveals how logical propositions correspond to types in programming languages, while the proofs of those propositions relate to programs, and the category-theoretic structures capture these relationships through adjunctions and equivalences. This correspondence is significant in demonstrating how the foundations of mathematics and computer science can be unified under a categorical framework.
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