Web Reference: If one abstracts on the peculiarities of either formalism, the following generalization arises: a proof is a program, and the formula it proves is the type for the program. According to the Curry-Howard correspondence, the notions of programs correspond to proofs, and a program proves its type according to the typing rules of the programming language. Types and propositions Logical propositions can be read as program types, and vice versa ... False and negation also possible; see slides at end
YouTube Excerpt: The Curry-Howard correspondence is a deep relationship between logic, computation, and type theory. It views
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