Certified Programming with Dependent Types: A Pragmatic Introduction to the Coq Proof Assistant

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Adam Chlipala (Assistant Professor, Massachusetts Institute of Technology)

Certified Programming with Dependent Types

A Pragmatic Introduction to the Coq Proof Assistant

Adam Chlipala (Assistant Professor, Massachusetts Institute of Technology)

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English

MIT Press
07 June 2022

PDA & Handheld programming

A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus.

A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus.

The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time.

Two topics, rarely discussed elsewhere, are covered in detail- effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.

By: Adam Chlipala (Assistant Professor Massachusetts Institute of Technology)
Imprint: MIT Press
Country of Publication: United States
Dimensions: Height: 229mm, Width: 178mm,
Weight: 369g
ISBN: 9780262545747
ISBN 10: 0262545748
Pages: 440
Publication Date: 07 June 2022
Recommended Age: From 18 years
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Adam Chlipala is Assistant Professor of Electrical Engineering and Computer Science and Douglas T. Ross (1954) Career Development Professor of Software Technology at MIT.