Nikolai Durov’s 132-page technical document on Telegram Open Network uses type theory notation in some paragraphs on the currently developing Telegram’s version of ’5-th generation’ blockchain technology, and claims to use in fact the Martin-Loef’s type theory. In the update I also included the link to the ’whitepaper’ and the technical document.

I also gave a link to the first of a series of 3 papers of Durov to appear in Algebra i analiz, though only the abstract, the first page and the references seem to be downloadable at the moment. There seem to be no arXiv or other public version and the official site of the St. Petersburg Journal of Mathematics is 3 issues backwards till the actual appearance there. Their title is *Homotopy theory of normed sets*. Its contents generalize part of the formalism from

- Paugam F.,
*Overconvergent global analytic geometry*, 2015, arXiv:1410.7971v2

Nikolai Durov’s 132-page technical document on Telegram Open Network uses type theory notation in some paragraphs on the currently developing Telegram’s version of ’5-th generation’ blockchain technology, and claims to use in fact the Martin-Loef’s type theory. In the update I also included the link to the ’whitepaper’ and the technical document.

I also gave a link to the first of a series of 3 papers of Durov to appear in Algebra i analiz, though only the abstract, the first page and the references seem to be downloadable at the moment. There seem to be no arXiv or other public version and the official site of the St. Petersburg Journal of Mathematics is 3 issues backwards till the actual appearance there. Their title is *Homotopy theory of normed sets*. Its contents generalize part of the formalism from

- Paugam F.,
*Overconvergent global analytic geometry*, 2015, arXiv:1410.7971v2