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- Intuitionistic_type_theory abstract "Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory) is a type theory and an alternative foundation of mathematics based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per Martin-Löf, a Swedish mathematician and philosopher, in 1972. Martin-Löf has modified his proposal a few times; his 1971 impredicative formulation was inconsistent as demonstrated by Girard's paradox. Later formulations were predicative. He proposed both intensional and extensional variants of the theory.Intuitionistic type theory is based on a certain analogy or isomorphism between propositions and types: a proposition is identified with the type of its proofs. This identification is usually called the Curry–Howard isomorphism, which was originally formulated for intuitionistic logic and simply typed lambda calculus. Type theory extends this identification to predicate logic by introducing dependent types, that is types which contain values.Type theory internalizes the interpretation of intuitionistic logic proposed by Brouwer, Heyting and Kolmogorov, the so-called BHK interpretation. The types in type theory play a similar role to sets in set theory but functions definable in type theory are always computable.".
- Intuitionistic_type_theory wikiPageExternalLink martin-lof-tt.pdf.
- Intuitionistic_type_theory wikiPageExternalLink ncat.def.html.
- Intuitionistic_type_theory wikiPageExternalLink tutorials.html.
- Intuitionistic_type_theory wikiPageExternalLink book.
- Intuitionistic_type_theory wikiPageExternalLink TTFP.
- Intuitionistic_type_theory wikiPageExternalLink 978-94-007-1735-0.
- Intuitionistic_type_theory wikiPageID "345023".
- Intuitionistic_type_theory wikiPageRevisionID "605288565".
- Intuitionistic_type_theory hasPhotoCollection Intuitionistic_type_theory.
- Intuitionistic_type_theory subject Category:Constructivism_(mathematics).
- Intuitionistic_type_theory subject Category:Dependently_typed_programming.
- Intuitionistic_type_theory subject Category:Intuitionism.
- Intuitionistic_type_theory subject Category:Logic_in_computer_science.
- Intuitionistic_type_theory subject Category:Type_theory.
- Intuitionistic_type_theory comment "Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory) is a type theory and an alternative foundation of mathematics based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per Martin-Löf, a Swedish mathematician and philosopher, in 1972. Martin-Löf has modified his proposal a few times; his 1971 impredicative formulation was inconsistent as demonstrated by Girard's paradox.".
- Intuitionistic_type_theory label "Intuitionistic type theory".
- Intuitionistic_type_theory label "Teoria dos tipos intuicionista".
- Intuitionistic_type_theory label "直觉类型论".
- Intuitionistic_type_theory sameAs Teoria_dos_tipos_intuicionista.
- Intuitionistic_type_theory sameAs m.01yly1.
- Intuitionistic_type_theory sameAs Q6059147.
- Intuitionistic_type_theory sameAs Q6059147.
- Intuitionistic_type_theory wasDerivedFrom Intuitionistic_type_theory?oldid=605288565.
- Intuitionistic_type_theory isPrimaryTopicOf Intuitionistic_type_theory.