Unverified50% confidenceFactExact time
The core principle of interactive theorem provers is built on the Curry–Howard correspondence, whereby propositions correspond to types and proofs correspond to programs that satisfy those types.
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Long-term
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8/30/2026
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Related Claims
UnverifiedThe Curry-Howard correspondence refers to the deep relationship between mathematical proofs and computer programs: a proposition corresponds to a type, and a proof corresponds to a program that satisfies that type.78% similarUnverifiedThe Lean formal proof assistant operates on the basis of type theory and the Curry–Howard correspondence, and every proof step must be verified by the kernel's type checker77% similarUnverifiedThe core principle of formal verification tools is type theory or higher-order logic, which transforms mathematical correctness into a mechanically checkable computational problem.76% similarUnverifiedFormal proof systems (such as Lean, Coq, and Isabelle) require every reasoning step to conform to a predefined axiomatic system and be mechanically verified by computer75% similarUnverifiedFormal verification reduces proof checking to a fully mechanized type-checking process through the Curry-Howard correspondence.72% similar
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