Monthly Archives: March 2012

A direct proof of Hedberg’s theorem

In his article published 1998, Michael Hedberg has shown that a type with decidable equality also features the uniqueness of identity proofs property. Reading through Nils Anders Danielsson’s Agda formalization, I noticed that the statement “A has decidable equality”, i.e. … Continue reading

Posted in Code | 5 Comments

Modeling Univalence in Inverse Diagrams

I have just posted the following preprint, which presents new set-theoretic models of univalence in categories of simplicial diagrams over inverse categories (or, more generally, diagrams over inverse categories starting from any existing model of univalence). The univalence axiom for … Continue reading

Posted in Models, Paper, Univalence | 5 Comments