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Coq'Art: The Calculus of Inductive Constructions

Book's cover
The cover of “Interactive Theorem Proving and Program Development” - Open Library.

"Interactive Theorem Proving and Program Development" was published by Springer Berlin Heidelberg in 2004 - Berlin, Heidelberg, it has 472 pages and the language of the book is English.


“Interactive Theorem Proving and Program Development” Metadata:

  • Title: ➤  Interactive Theorem Proving and Program Development
  • Author:
  • Language: English
  • Number of Pages: 472
  • Publisher: Springer Berlin Heidelberg
  • Publish Date:
  • Publish Location: Berlin, Heidelberg

“Interactive Theorem Proving and Program Development” Subjects and Themes:

Edition Specifications:

  • Format: [electronic resource] :
  • Pagination: ➤  1 online resource (xxv, 472 p.)

Edition Identifiers:

AI-generated Review of “Interactive Theorem Proving and Program Development”:


"Interactive Theorem Proving and Program Development" Table Of Contents:

  • 1- A Brief Overview
  • 2- Types and Expressions
  • 3- Propositions and Proofs
  • 4- Dependent Products
  • 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
  • 17- Appendix
  • 18- Index.

"Interactive Theorem Proving and Program Development" Description:

The Open Library:

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.

Open Data:

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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