Homotopy Type Theory
type theories (Rev #3, changes)

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This page is lists a some list of the type theories and their variations that have been used or proposed for doing homotopy type theory theory. / univalent foundations.

  • The system presented in the HoTT book, chapter 1 and appendix A.
  • Martin-Löf Intensional Type Theory: the original.
  • The Calculus Of Constructions? : the basis of Coq. the Coq proof assistant.
  • The type theory of Agda : apparently based has on no Martin-Löf formal type definition theory, other extended than by the a Agda flexible source scheme code. for specifying inductive definitions.
  • Vladimir Voevodsky’s Homotopy Type System: work in progress based on a proposal by Vladimir Voevodsky.

Revision on May 9, 2014 at 00:41:23 by Steve Awodey. See the history of this page for a list of all contributions to it.