Certified Programming with Dependent Types

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...

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Autor principal: Chlipala, Adam
Format: Online
Idioma:anglès
Publicat: The MIT Press 2022
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Accés en línia:ONIX_20220221_9780262317870_43
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author Chlipala, Adam
author_browse Chlipala, Adam
author_facet Chlipala, Adam
author_sort Chlipala, Adam
collection Directory of Open Access Books
description 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.
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spelling doab-20.500.12854ir-785232024-04-14T10:27:41Z Certified Programming with Dependent Types Chlipala, Adam Computer programming / software engineering thema EDItEUR::U Computing and Information Technology::UM Computer programming / software engineering::UMS Mobile and handheld device programming / Apps programming 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. 2022-02-21T15:10:37Z 2022-02-21T15:10:37Z 2013 book ONIX_20220221_9780262317870_43 9780262317870 9780262026659 https://directory.doabooks.org/handle/20.500.12854/78523 eng The MIT Press image/jpeg n/a https://doi.org/10.7551/mitpress/9153.001.0001 The MIT Press The MIT Press 10.7551/mitpress/9153.001.0001 10.7551/mitpress/9153.001.0001 ae0cf962-f685-4933-93d1-916defa5123d 9780262317870 9780262026659 The MIT Press 440 Cambridge open access
spellingShingle Computer programming / software engineering
thema EDItEUR::U Computing and Information Technology::UM Computer programming / software engineering::UMS Mobile and handheld device programming / Apps programming
Chlipala, Adam
Certified Programming with Dependent Types
title Certified Programming with Dependent Types
title_full Certified Programming with Dependent Types
title_fullStr Certified Programming with Dependent Types
title_full_unstemmed Certified Programming with Dependent Types
title_short Certified Programming with Dependent Types
title_sort certified programming with dependent types
topic Computer programming / software engineering
thema EDItEUR::U Computing and Information Technology::UM Computer programming / software engineering::UMS Mobile and handheld device programming / Apps programming
topic_facet Computer programming / software engineering
thema EDItEUR::U Computing and Information Technology::UM Computer programming / software engineering::UMS Mobile and handheld device programming / Apps programming
url ONIX_20220221_9780262317870_43
work_keys_str_mv AT chlipalaadam certifiedprogrammingwithdependenttypes