Web Reference: At the time of Curry, and also at the time of Howard, the proofs-as-programs correspondence concerned only intuitionistic logic, i.e. a logic in which, in particular, Peirce's law was not deducible. 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. Thanks to the Curry-Howard correspondence, we’ve just translated our proof into a working program! Not only do we know this is possible, we can see exactly how the change is made for any given value.
YouTube Excerpt: Programs are proofs
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Programs Are Proofs The Curry - Latest Information & Updates 2026 Information & Biography

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