Peter Dybjer - Intuitionistic Type Theory

Peter Dybjer - Intuitionistic Type Theory

Hausdorff Center for Mathematics via YouTube Direct link

Intro

1 of 17

1 of 17

Intro

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Peter Dybjer - Intuitionistic Type Theory

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  1. 1 Intro
  2. 2 Plan of lectures on Intuitionistic Type Theory
  3. 3 The LF version of Intuitionistic Type Theory 1986
  4. 4 Rules for natural numbers in Agda
  5. 5 Rules for the identity set in Agda
  6. 6 Intuitionistic Type Theory 1986 have decidable judgments
  7. 7 Intuitionistic Type Theory as a Theory of Inductive Definitions
  8. 8 Iterated inductive definitions in predicate logic
  9. 9 Inductive families
  10. 10 Generalized Inductive definitions
  11. 11 Examples of inductive-recursive definitions in type theory
  12. 12 General schema for inductive-recursive types
  13. 13 Finite axiomatization of Inductive types
  14. 14 Some codes
  15. 15 Finite axiomatization of Inductive-recursive types
  16. 16 Code for universe closed under
  17. 17 Three views of Intuitionistic Type Theory

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