Loïc Pujet

I am an associate professor (maître de conférences) in the ICube laboratory of the University of Strasbourg. My research interests lie mainly in type theory, proof assistants, homotopy theory and constructive mathematics. Here is a picture of me.

You can contact me at .l?o+i8ch@^pdurrj*egt2.zf6r! .

News
03/02/2026 – I uploaded a preprint about accessibility and definitional proof-irrelevance, written in collaboration with Thiago Felicissimo, Yann Leray, Nicolas Tabareau, Éric Tanter and Théo Winterhalter.
26/01/2026 – I am co-chair of HoTT/UF 2026, which will take place in Aarhus, Denmark. Please consider submitting a 2-page abstract!
01/09/2025 – I started working as a maître de conférences in the ICube laboratory of the University of Strasbourg.
15/07/2025 – Our paper "Type Theory in Type Theory using a Strictified Syntax", in collaboration with Ambrus Kaposi, has been accepted to ICFP 2025. The paper can be found here, along with the accompanying formalisation.
02/07/2025 – I am co-chair of the Rocqshop 2025 (formerly the Coq Workshop), co-located with ITP 2025 in Reykjavik. Please consider submitting a 2-page abstract!
13/06/2025 – The slides of my TYPES 2025 presentation are available here.

Research

Publications and Preprints

Definitional Proof Irrelevance Made Accessible Preprint

Thiago Felicissimo, Yann Leray, Loïc Pujet, Nicolas Tabareau, Éric Tanter, Théo Winterhalter

Preprint

Cellular Methods in Homotopy Type Theory Preprint

Axel Ljungström, Loïc Pujet

Preprint

Type Theory in Type Teory Using a Strictified Syntax PDF Formalisation

Ambrus Kaposi, Loïc Pujet

ICFP 2025

Martin-Löf à la Coq HAL Formalisation

Arthur Adjedj, Meven Lennon-Bertrand, Kenji Maillard, Pierre-Marie Pédrot, Loïc Pujet

CPP 2024 (distinguished paper)

Observational Equality: Now For Good HAL slides Formalisation

Loïc Pujet, Nicolas Tabareau

POPL 2022 (distinguished paper)

Cubical Synthetic Homotopy Theory HAL slides

Anders Mörtberg, Loïc Pujet

CPP 2020

PhD thesis

Computing with Extensionality Principles in Type Theory Github slides

PhD thesis, Nantes University, 2022

The version on Github is the finished product, I am waiting for the university to put it on a more official-looking platform...

Talks

Strictifying Categories with Families slides

On joint work with Ambrus Kaposi

SCALP 2024

A Constructive Cellular Approximation Theorem slides abstract

On joint work with Axel Ljungström

TYPES 2024

Choice Principles in Observational Type Theory slides

Stockholm-Gothenburg joint seminar (2023)

Engineering Logical Relations for MLTT in Coq abstract

Talk by Kenji Maillard on j.w.w Arthur Adjedj, Meven Lennon-Bertrand and Kenji Maillard

TYPES 2023

Mechanising Reducibility Proofs in Coq slides

Invited talk

Europroofnet Working Group 6, 24 April 2023

Observational Type Theory meets CIC slides video

Joint work with Nicolas Tabareau

HoTTEST Seminar, 23 February 2023

Extensionality in Intensional Type Theory slides

Joint work with Nicolas Tabareau

Rencontres Chocola, 10 March 2022

Computing with Univalence in Coq using Intensional Presheaves abstract slides

Joint work with Maxime Lucas, Pierre-Marie Pédrot, and Nicolas Tabareau

ICMS 2020

Synthetic homotopy theory in cubical type theory and the Hopf fibration

CMU HoTT seminar, 28 February 2019

Beyond the probability of coprimality slides

UTokyo, JFLI Internship Day, 20 July 2017

Notes and drafts

An inductive universe for setoids PDF Formalisation

Extended abstract presented at TYPES 2025

A semantic account of the presheaf translation PDF

Last update: 02/12/2020

Software

Observational Coq Github

Fork of Coq/Rocq with a modified kernel that supports OTT