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Coq is a proof assistant based on the calculus of constructions. It is used to formalize proofs in a variety of fields, including mathematics and programming languages. Cocorico is the Coq wiki.
:warning: Note: this wiki has been converted in October 2017 from an earlier wiki based on MoinMoin. Some help on this Wiki. More about this migration.
Coq installation
You need to install Coq and an appropriate IDE. Currently supported IDE's are CoqIDE (recommended for beginners), Proof General (major mode for Emacs users), Visual Studio with the VSCoq extension, and Coqtail for Vim.
For most users, it is easiest to install the Coq platform which comes with a broad selection of stable packages tested for interoperability.
- Installation of the Coq system:
- Configuration of CoqIDE
- Configuration of Proof General (to be completed)
- Configuration of coq-lsp for VScode
Coq official resources
- Reference Manual
- Documentation of the Standard Library
- Discourse Forum (see also Discourse wiki page)
- Zulip Chat
- Coq-Club mailing list
- Bug tracker
- FAQ
- Twitter account
Coq informal resources
- IRC channel:
irc://irc.libera.chat/#coq - Sub-reddit
- Stack Overflow tag
Coq books and tutorials
- Software Foundations
- Volume 1: Logical Foundations (by Benjamin C. Pierce et al.)
- Volume 2: Programming Language Foundations (by Benjamin C. Pierce et al.)
- Volume 3: Verified Functional Algorithms (by Andrew W. Appel)
- Volume 4: QuickChick (by Leonidas Lampropoulos and Benjamin C. Pierce)
- Certified Programming with Dependent Types, by Adam Chlipala
- Coq'Art, by Yves Bertot and Pierre Castéran
- Mathematical Components book, by Assia Mahboubi and Enrico Tassi
- Formal Reasoning About Programs, by Adam Chlipala
- Programs and Proofs, by Ilya Sergey
- Computer Arithmetic and Formal Proofs, by Sylvie Boldo and Guillaume Melquiond
- Program Logics for Certified Compilers, by Andrew W. Appel et al.
- Teaching Coq and teaching with Coq
- Hydras & Co., accompanying textbook here.
Coq development
- The Contributing Guide
- Coq weekly Calls
- Coq Working Groups
- The next Coq Working Group
- Ideas for the Google Summer of Code 2016
- Wishes for Coq (and a specific page of wishes for unification)
- Wishes for Graphical User Interfaces (and a specific page for CoqIDE wishes)
- Basic architecture of Coq User Interfaces
- A development tutorial
- Development frequently asked questions
- List of maintainers
- Archive of discussions
- Setting up your development environment
- State of the continuous integration infrastructure
Coq community
Coq Users and Developers Workshops
Pointers to existing projects involving Coq.
Coq libraries
A non-exhaustive list of Coq libraries that are being used by other people than the developers.
- Coq Platform - A Coq installation for Windows, Linux, and MacOS together with a large family of libraries chosen for stability and tested for interoperability. For Coq 8.16 the precise list is here
- Coq Community - a repository containing numerous and diverse Coq packages collectively maintained by the Coq community.
- Mathematical Components: formalization of mathematical theories, focusing in particular on group theory.
- Flocq: formalization of floating-point computations.
- TLC: a non-constructive alternative to Coq's standard library.
- ExtLib: a collection of theories and plugins that may be useful in other Coq developments.
- CoLoR: a library on rewriting theory, lambda-calculus and termination, with sub-libraries on common data structures extending the Coq standard library (especially on vectors)
- Coq-std++: an extended "Standard Library" for Coq
- Alternative “Standard” Libraries: list and descriptions of alternative standard libraries
(to be completed)
Coq plugins and tools
(section to be updated)
Coq's logic
Coq Wiki
- Some help on this Wiki.
- More content
- List of recent changes (compare two revisions by selecting them then clicking on "Compare Revisions")