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)

• 1 A Brief Overview.- 2 Types and Expressions.- 3 Propositions and Proofs.- 4 Dependent Products, or Pandora’s Box.- 5 Everyday Logic.- 6 Inductive Data Types.- 7 Tactics and Automation.- 8 Inductive Predicates.- 9* Functions and Their Specifications.- 10 * Extraction and Imperative Programming.- 11 * A Case Study.- 12 * The Module System.- 13 ** Infinite Objects and Proofs.- 14 ** Foundations of Inductive Types.- 15 * General Recursion.- 16 * Proof by Reflection.- Insertion Sort.- References.- Coq and Its Libraries.- Examples from the Book.

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)

• 1 A Brief Overview.- 2 Types and Expressions.- 3 Propositions and Proofs.- 4 Dependent Products, or Pandora’s Box.- 5 Everyday Logic.- 6 Inductive Data Types.- 7 Tactics and Automation.- 8 Inductive Predicates.- 9* Functions and Their Specifications.- 10 * Extraction and Imperative Programming.- 11 * A Case Study.- 12 * The Module System.- 13 ** Infinite Objects and Proofs.- 14 ** Foundations of Inductive Types.- 15 * General Recursion.- 16 * Proof by Reflection.- Insertion Sort.- References.- Coq and Its Libraries.- Examples from the Book.