*Coq Coq Correct! Verifying Typechecking and Erasure for Coq, in Coq*. Matthieu Sozeau, Simon Boulier, Yannick Forster, Nicolas Tabareau & Théo Winterhalter

*Proceedings of the ACM on Programming Languages*4 (POPL), January 2020.

News

You are on Matthieu Sozeau's website, that's me on the right.
I'm a researcher at Inria in the Gallinette team
in Nantes, and the current coordinator of
the Coq project. Commits are worth a thousand words on my github.

- I will be giving lectures at the DeepSpec Summer School in July 2020
- I will be coorganizing the EPIT 2020 Spring School with Nicolas Tabareau on Homotopy Type Theory, at Oléron, May 25-29 2020

- I moved to the Gallinette team in Nantes, a team of Inria Bretagne-Atlantique.
- Gave a Tutorial on Equations at CoqPL'20.
- Taught Coq + Equations at the Coq Andes Summer School (CASS) 2020 in Santuario del Río, San José del Maipo, Chile, Jan 6-10 2020.

- Visited Bas Spitters' group in Aarhus and gave a guest lecture on Equations for dependently-typed programming in Coq.
- October: paper "Coq Coq Correct!" [1], on the verification of typechecking and erasure for Coq in Coq was accepted at POPL'20.
- September-December: teaching MPRI 2-7-2 lecture on proof assistatnts.
- September: Yannick Forster presented Coq Coq Codet! [2] at the 10th Coq Workshop colocated with ITP19.
- August: submitted a followup paper on Equivalences for Free, mixing Univalence and Parametricity [3], joint work with Nicolas Tabareau and Éric Tanter.
- August: presented Equations Reloaded [4] at ICFP 2019.
- August: talked about Equations for HoTT [5] at the Homotopy Type Theory 2019 conference.
- June-July: Visiting Benjamin Pierce's group at the University of Pennsylvania
- June: Equations Reloaded [6] was accepted for publication at ICFP'19.
- May: Coq 8.10beta1 (with SProp!) and Equations 1.2 were released.
- May: I gave a seminar on MetaCoq and CertiCoq [7] at Nomadic Labs.
- April: submitted an extended version of our ITP'18 paper on The MetaCoq Project [8] to JAR.
- February: I gave an introductory lecture on certified programming and proof assistants [9] for the Master 1 of Computer Science at Paris 7.
- January: I gave a seminar on Definitional Proof-Irrelevance without K [10] at the Deducteam seminar.
- January: Equations 1.2beta was released.
- January: Coq 8.9.0 was released.
- January: Attended POPL'19.

- December: I gave a seminar on programming with Coq [11] attached to Xavier Leroy's lectures on Curry-Howard Today at the Collège de France.
- November: I gave a talk on our universe of strict propositions [12] and Eric Finster gave one on higher universal algebra in type theory at the PPS days.
- October: I gave a talk on the MetaCoq Project [13] at the VALS seminar.
- October: Definitional Proof-Irrelevance without K [14] has been accepted at POPL'19. We present a version of definitionally strict propositions compatible with univalent models. Soon to be found in Coq!
- September-November: MPRI 2.7.2 lecture on proof assistants.
- September: we got the distinguished paper award for our paper "Equivalences for Free!" [15] at ICFP'18.
- September: I am part of the LSFA 2018 program comittee, which will happen in Fortaleza, Brazil in September 2018.
- September: I am part of the TyDe 2018 program comittee colocated with ICFP 2018 in St. Louis, MI.
- August: introductory lecture on Dependent Type Theory at the EUTYPES summer school 2018.
- July: I was part of the ITP 2018 program comittee, and co-organizing the Coq Workshop at FLoC 2018.
- June: I gave an invited talk [16] at the TYPES 2018 conference in Braga, Portugal, June 18-21.
- April: I was an examiner of Amin Timany's PhD, who defended successfully his thesis in KU Leuven, Belgium.
- April 26th: I gave a guest lecture [17] on dependent pattern-matching and Equations at the University of Saarland.
- April 10-11th: participated in the pi.r2 days in Fontainebleau and gave a general talk on Coq as "An Environment for Programming with Dependent Types, take II". Our team is a quite interesting mix!
- April: our paper on Cumulative Inductive Types [18] was accepted at FSCD'18.
- April: our paper on Certified Meta-Programming with Typed Template Coq [19] was accepted at ITP'18.
- March: submitted papers on Equations, an effective ETT to ITT translation [20] and Equivalences for Free! to ICFP.
- January: I attended the EUTypes meeting in Nijmegen where I gave a short talk on handling of recursion in Equations [21].
- January: I attended POPL 2018, PEPM, CPP and CoqPL as well. Giving a presentation + poster at PEPM 2018 on Equations [22], a talk on Typed Template Coq [23] at CoqPL'18, along with the traditional Coq developer session [24].

- November: participated to the Géocal-LAC days in Nantes, and gave a talk on cumulative inductives types [25].
- October: Coq 8.7 was released, including cumulative inductive types. With Amin Timany, we proved the consistency [26] of this extension using a set-theoretic model.
- October: released Equations version 1.0beta with a handful of examples, and submitted an article on the new version, joint work with Cyprien Mangin.
- October: new article on deriving Equivalences for free with Nicolas Tabareau and Eric Tanter.
- October: with Amin Timany, we proved the soundness of our extension of Coq with Cumulative Inductive Types.
- September: Théo Winterhalter started his PhD in the CoqHoTT team, co-supervised with Nicolas Tabareau.
- June: branching version 8.7 of Coq, which includes cumulative inductive types and integrates the ssreflect plugin.
- June: gave a lecture at EJCP'17 on Type Theory and Interactive Theorem Proving in Coq [27]
- June: at the 3rd Coq's Implementors Workshop in Carnac, Britany.
- May: at TYPES 2017, for our work on cumulative inductive types [28].
- March-April: working on Cumulative Inductive Types with Amin Timany, adding a cumulativity rule to inductives, simulating template polymorphism.
- January-March: MPRI lecture on proof assistants.
- January: Attended CPP 2017, POPL 2017 and CoqPL'17, and had a blast! Greg and Andrew presented our work on CertiCoq [29] there.

- November: we released Coq version 8.6beta1: A Better, Faster, Stronger Rooster!
- November: our paper [30] on the HoTT library got accepted at CPP 2017!.
- November: our presentation on CertiCoq was accepted at CoqPL'17!
- October: the extended version of our paper on was accepted at JFP.
- August: at the ITP 2016 conference and Coq Workshop 2016 in Nancy, where Hugo Herbelin passed me the Coq development coordinator hat [31].
- July: at the Categorical Logic & Univalent Foundations workshop in Leeds, talking about forcing [32]
- July: at ICMS'16, gave a talk on Coq for HoTT [33]
- June: at the DeepSpec kickoff meeting in Princeton, NJ, gave a talk on Coq 8.6 [34] and enjoyed a lot of Coq-related talks!
- May: at the second Coq implementors workshop in Nice, gave a talk on Universes [35] for ML hackers.
- April: our paper [36] on a new call-by-name forcing translation in Type Theory got accepted at LICS.
- March: at the Dagstuhl seminar on "Language Based Verification Tools for Functional Programs", giving a short talk on Equations [37]
- January: Gave a talk [38] at the CoqPL workshop on Coq 8.5
- January: (finally!) released Coq 8.5, including my work on universe polymorphism and primitive projections.

- December-March: Coq lecture at MPRI
- September 1st: Gave a talk [39] on our work on unification with Beta Ziliani at ICFP'15.
- August 1st: at the LFMTP'15 workshop, where Cyprien presented our work on Equations and Predicative System F.
- June 27th-July 3rd: Gave a lecture [40] at the HoTT/UF workshop and attending TLCA'15 in Warsaw.
- June 22-26: first successful Coq coding sprint in lovely Nice, followed by the Coq Workshop
- June 1st: ERC CoqHoTT started!
- May 26th: Gave a lecture [41] on Coq for proving functional programs at the "École de Printemps d'Informatique Théorique" in Fréjus.
- May 8th: Paper on Equations [42] and Predicative System F, joint work with Cyprien Mangin accepted at LFMTP'15.
- May: Paper [43] on a new unification algorithm for Coq, joint work with Beta Ziliani, accepted at ICFP'15. The Coq plugin is here.
- April 29th: Gave a seminar [44] at MIT on our new unification algorithm.
- April 22nd: Released Coq 8.5 beta 2.
- March: Submitted a new version of our work with Nicolas on Internalizing Intensional Type Theory [45].
- January: at POPL'15 in Mumbai, for the first CoqPL workshop, we released Coq 8.5 beta [46].
- December-March 2015: Lecturing on proof assistants at the MPRI.

Copyright © 2006-2015 Matthieu Sozeau