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Introduced by the Swedish mathematician and philosopher Per Martin-Löf in 1972 as a constructive foundation of mathematics in the tradition of intuitionism, intuitionistic type theory is at the same time a mathematical language and a programming language. Its central idea is the identification of propositions and types.

A number of computer proof systems have been based on intuitionistic type theory: NuPRL , LEGO , COQ and others.

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Topics: Intuitionistic Type Theory, Intuitionistic Logic...

Intuitionistic logicLogic Logic in computer science Mathematical logic Intuitionistic logic or constructivist logic is the logic used in mathematical intuitionism and other forms of mathematical constructivism. Roughly speaking, "intuitionism" holds that logic and mathematic

Intuitionistic type theoryIntroduced by the Swedish mathematician and philosopher Per Martin-Lof in 1972 as a constructive foundation of mathematics in the tradition of intuitionism, intuitionistic type theory is at the same time a mathematical language and a programming language.

Intuitionistic linear logicA variant of linear logic that allows a single, or no more than one, conclusion. Continues in discussion.

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