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Interactive Theorem Proving and Program Development

Coq’Art: The Calculus of Inductive Constructions

  • Textbook
  • © 2004

Overview

  • First book providing the theoretical foundations
  • A broad spectrum of applications of the theorem proving system Coq
  • Includes supplementary material: sn.pub/extras

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About this book

Coq is an interactive proof assistant for the development of mathematical theories and formally certified software. It is based on a theory called the calculus of inductive constructions, a variant of type theory.

This book provides a pragmatic introduction to the development of proofs and certified programs using Coq. With its large collection of examples and exercises it is an invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

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Table of contents (16 chapters)

Reviews

From the reviews of the first edition:

"This book serves as a Coq user manual, supporting both beginners and experts in the use of Coq and its underlying theory. … Numerous exercises further enhance the utility as a learning aid. A supporting website provides downloadable source for all the examples and solutions to the exercises. As an introduction to Coq the book is self-contained … . The book is also comprehensive … . In summary, the book is an essential companion for every Coq user … ." (Valentin F. Goranko, Zentralblatt MATH, Vol. 1069, 2005)

Authors and Affiliations

  • Inria Sophia Antipolis, Sophia Antipolis Cedex, France

    Yves Bertot

  • LaBRI and Inria Futurs LabRI, Université Bordeaux I, Talence Cedex, France

    Pierre Castéran

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