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Intuitionistic type theory

Introduced by the Swedish 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. Central 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.

Referenced By

Intuitionism | Intuitionism (philosophy of mathematics) | MathematicalIntuitionism | Mathematical intuitionism | Neointuitionism

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Intuitionistic type theory".

 

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