Coq'Art Home page

Coq'Art is the familiar name for the first book on the Coq proof assistant and its underlying theory the Calculus of Inductive Constructions , written by Yves Bertot and Pierre Castéran.
Interactive Theorem Proving and Program Development
Coq'Art: The Calculus of Inductive Constructions
Series: Texts in Theoretical Computer Science. An EATCS Series
Bertot, Yves, Castéran, Pierre
2004, XXV, 469 p., Hardcover 
ISBN: 3-540-20854-2
Look at Springer site .

Some chapters from the book

French Version

A french version of the book is available here.

Drawing "Oiseau de feu" by courtesy of Michel Mendès France

Sources and exercises from the book

We give the source of all examples and the solution of 170 over 200 exercises from the book.
For each exercise, we give a solution as a Coq file, together with some comments if the exercise is difficult, or if the solution presents some methodological interest. Comments are welcome.

The tarballs for versions 8.9 and later are now on Github, at this address.
For older versions of Coq, please look at the following table:
Please inform us of any problem.

All the examples and solutions of the exercises are under licence Cecill-B .

Participation is welcome

Thank you in advance for any comment, alternate solution, or any way to improve this site.


Some typos where found after the printing of the book. They are reported chapter by chapter, after the sources and exercises (look at this index ).
Many thanks to Stefan Karrmann and Pierre Lescanne for all the remarks they sent to us.

All (for 8.2) in a single tar file (gunzipped) All the examples and exercises on this site are copyright Yves Bertot and Pierre Castéran.

Tutorial on [Co]-inductive types in Coq (V8.1 beta)

Slides for Tsinghua University Coq Summer School

Click here

The Teaser (draft)

A set of contributions for teaching Coq (in preparation)

To download Coq

Coq site here
Mail : first