Explore the words cloud of the CoqHoTT project. It provides you a very rough idea of what is the project "CoqHoTT" about.
The following table provides information about the project.
Coordinator |
INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE
Organization address contact info |
Coordinator Country | France [FR] |
Project website | http://coqhott.gforge.inria.fr/ |
Total cost | 1˙498˙290 € |
EC max contribution | 1˙498˙290 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2014-STG |
Funding Scheme | ERC-STG |
Starting year | 2015 |
Duration (year-month-day) | from 2015-06-01 to 2020-05-31 |
Take a look of project's partnership.
# | ||||
---|---|---|---|---|
1 | INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE | FR (LE CHESNAY CEDEX) | coordinator | 1˙498˙290.00 |
Every year, software bugs cost hundreds of millions of euros to companies and administrations. Hence, software quality is a prevalent notion and interactive theorem provers based on type theory have shown their efficiency to prove correctness of important pieces of software like the C compiler of the CompCert project. One main interest of such theorem provers is the ability to extract directly the code from the proof. Unfortunately, their democratization suffers from a major drawback, the mismatch between equality in mathematics and in type theory. Thus, significant Coq developments have only been done by virtuosos playing with advanced concepts of computer science and mathematics. Recently, an extension of type theory with homotopical concepts such as univalence is gaining traction because it allows for the first time to marry together expected principles of equality. But the univalence principle has been treated so far as a new axiom which breaks one fundamental property of mechanized proofs: the ability to compute with programs that make use of this axiom. The main goal of the CoqHoTT project is to provide a new generation of proof assistants with a computational version of univalence and use them as a base to implement effective logical model transformation so that the power of the internal logic of the proof assistant needed to prove the correctness of a program can be decided and changed at compile time—according to a trade-off between efficiency and logical expressivity. Our approach is based on a radically new compilation phase technique into a core type theory to modularize the difficulty of finding a decidable type checking algorithm for homotopy type theory. The impact of the CoqHoTT project will be very strong. Even if Coq is already a success, this project will promote it as a major proof assistant, for both computer scientists and mathematicians. CoqHoTT will become an essential tool for program certification and formalization of mathematics.
year | authors and title | journal | last update |
---|---|---|---|
2019 |
Benedikt Ahrens, Ralph Matthes, Anders Mörtberg From Signatures to Monads in UniMath published pages: 285-318, ISSN: 0168-7433, DOI: 10.1007/s10817-018-9474-4 |
Journal of Automated Reasoning 63/2 | 2020-04-23 |
2018 |
M. Anel, G. Biedermann, E. Finster, A. Joyal Goodwillie\'s calculus of functors and higher topos theory published pages: 1100-1132, ISSN: 1753-8416, DOI: 10.1112/topo.12082 |
Journal of Topology 11/4 | 2020-04-23 |
2019 |
Pierre-Marie Pédrot, Nicolas Tabareau, Hans Jacob Fehrmann, Éric Tanter A reasonably exceptional type theory published pages: 1-29, ISSN: 2475-1421, DOI: 10.1145/3341712 |
Proceedings of the ACM on Programming Languages 3/ICFP | 2020-04-23 |
2018 |
Nicolas Tabareau, Éric Tanter, Matthieu Sozeau Equivalences for free: univalent parametricity for effective transport published pages: 1-29, ISSN: 2475-1421, DOI: 10.1145/3236787 |
Proceedings of the ACM on Programming Languages 2/ICFP | 2020-04-23 |
2018 |
Martin Elsman, Troels Henriksen, Danil Annenkov, Cosmin E. Oancea Static interpretation of higher-order modules in Futhark: functional GPU programming in the large published pages: 1-30, ISSN: 2475-1421, DOI: 10.1145/3236792 |
Proceedings of the ACM on Programming Languages 2/ICFP | 2020-04-23 |
2020 |
Benedikt Ahrens, André Hirschowitz, Ambroise Lafont, Marco Maggesi Reduction monads and their signatures published pages: 1-29, ISSN: 2475-1421, DOI: 10.1145/3371099 |
Proceedings of the ACM on Programming Languages 4/POPL | 2020-04-23 |
2019 |
Gaëtan Gilbert, Jesper Cockx, Matthieu Sozeau, Nicolas Tabareau Definitional proof-irrelevance without K published pages: 1-28, ISSN: 2475-1421, DOI: 10.1145/3290316 |
Proceedings of the ACM on Programming Languages 3/POPL | 2020-04-23 |
2019 |
Matthieu Sozeau, Cyprien Mangin Equations reloaded: high-level dependently-typed functional programming and proving in Coq published pages: 1-29, ISSN: 2475-1421, DOI: 10.1145/3341690 |
Proceedings of the ACM on Programming Languages 3/ICFP | 2020-04-23 |
2016 |
Kevin Quirin and Nicolas Tabareau Lawvere-Tierney sheafification in Homotopy Type Theory published pages: , ISSN: 1972-5787, DOI: 10.6092/issn.1972-5787/6232 |
Journal of Formalized Reasoning | 2020-04-23 |
2017 |
Ahrens, Benedikt; Lumsdaine, Peter LeFanu Displayed Categories published pages: , ISSN: , DOI: 10.4230/LIPIcs.FSCD.2017.5 |
https://hal.inria.fr/hal-01584770 7 | 2020-04-23 |
2017 |
Ahrens, Benedikt; Lumsdaine, Peter LeFanu; Voevodsky, Vladimir Categorical Structures for Type Theory in Univalent Foundations published pages: , ISSN: , DOI: 10.4230/LIPIcs.CSL.2017.8 |
26th EACSL Annual Conference on Computer Science Logic (CSL 2017) 6 | 2020-04-23 |
2018 |
PIERRE-ÉVARISTE DAGAND, NICOLAS TABAREAU, ÉRIC TANTER Foundations of dependent interoperability published pages: , ISSN: 0956-7968, DOI: 10.1017/S0956796818000011 |
Journal of Functional Programming 28 | 2020-04-23 |
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The information about "COQHOTT" are provided by the European Opendata Portal: CORDIS opendata.
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