From 36f21b4173a0e3a144e544dbdac3ce75e5d0a432 Mon Sep 17 00:00:00 2001 From: Noam Zeilberger <noam.zeilberger@gmail.com> Date: Fri, 21 Mar 2025 16:39:23 +0100 Subject: [PATCH] niyousha --- _data/seminar.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/seminar.yml b/_data/seminar.yml index 3a6e971..dc2a145 100644 --- a/_data/seminar.yml +++ b/_data/seminar.yml @@ -26,7 +26,7 @@ speaker: Niyousha Najmaei picture: https://niyoushanajmaei.github.io/images/nioosha.png website: https://niyoushanajmaei.github.io/ - lab: IRIF + lab: LIX title: A Type Theory for Comprehension Categories with Applications to Subtyping abstract: | We develop a type theory that we show is an internal language for comprehension categories. This type theory is closely related to Martin-Löf type theory (MLTT). Indeed, semantics of MLTT are often given in comprehension categories, albeit usually only in discrete or full ones. As we explain, requiring a comprehension category to be full or discrete can be understood as removing one “dimension” of morphisms. Thus, in our syntax, we recover this extra dimension. We show that this extra dimension can be used to encode subtyping in a natural way. Important instances of non-full comprehension categories include ones used for constructive or univalent intensional models of MLTT and directed type theory, and so our syntax is a more faithful internal language for these than is MLTT. -- GitLab