type theory (changes)

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This page lists some of the type theories and variations that have been used or proposed for doing homotopy type theory.

- The system
~~presented~~known~~in~~asBook HoTT presented in the HoTT book, chapter 1 and appendix A. - Martin-Löf Intensional Type Theory: the original.
- The Calculus Of Constructions?: the basis of the Coq proof assistant.
- Agda: based on Martin-Löf type theory, extended by a flexible scheme for specifying inductive definitions.
- Homotopy Type System: a proposal by Vladimir Voevodsky.
- Two-level type theory?
- cubical type theory? (which has various forms)

‘Type theory’ on the nLab wiki.

category: type theory

Last revised on May 27, 2020 at 14:39:54. See the history of this page for a list of all contributions to it.