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ConceptCurry-Howard Correspondence / 程序即证明

Curry-Howard同构

数学逻辑与计算机程序之间的深刻对应关系,揭示命题对应类型、证明对应程序、证明化简对应程序执行,是现代依赖类型语言和形式化验证系统的理论基石

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Aug 30

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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Aug 30

The 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.

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