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Richard Johnson
Coq Language and Proof Development
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7586753Coq Language and Proof Developmenthttps://www.gandhi.com.mx/coq-language-and-proof-development-6610000874897/phttps://gandhi.vtexassets.com/arquivos/ids/7212268/image.jpg?v=638896782067200000187187MXNGandhiInStock/Ebooks/<p>"Coq Language and Proof Development"</p><p>"Coq Language and Proof Development" is a definitive guide to the theory, practice, and application of Coq, a leading interactive theorem prover and functional programming language. The book begins with a rigorous exploration of the foundational principles of Coq and its roots in modern type theory, offering the reader a thorough grounding in dependent types, the Curry-Howard correspondence, and the logical framework underlying the system. It methodically traverses topics such as universe polymorphism, logical consistency, and the expressivity that sets Coq apart as a tool for both formal mathematics and software verification.</p><p>The heart of the text is a detailed treatment of Gallina, Coqs specification and programming language, covering its syntax, semantics, and complex features such as inductive and coinductive types, higher-order functions, pattern matching, and powerful abstraction mechanisms. Readers are expertly guided through disciplined proof development methodologies, including structuring large formalizations, leveraging proof automation with custom tactics in Ltac, and systematically reasoning about inductive and coinductive data. The book further addresses automation and meta-programming, drawing comparisons with alternative approaches and providing practical guidance for building large, maintainable proof developments.</p><p>Spanning a wide range of domains, the book demonstrates the use of Coq for formalizing mathematicsfrom foundational number systems to advanced topics in category theory and homotopy type theoryas well as for end-to-end software verification, including certified program extraction and integration with industrial workflows. It closes by equipping readers with best practices, extensibility techniques, and insights into the active Coq community, making it an indispensable resource for learners and experts eager to master formal reasoning in both theoretical and applied contexts.</p>...7199094Coq Language and Proof Development187187https://www.gandhi.com.mx/coq-language-and-proof-development-6610000874897/phttps://gandhi.vtexassets.com/arquivos/ids/7212268/image.jpg?v=638896782067200000InStockMXN99999DIEbook20256610000874897_W3siaWQiOiI2NTdhMzMyZS1kYWJhLTQ3MTgtODY0Yy0yZmJiZWZmZTNlNTYiLCJsaXN0UHJpY2UiOjE4NywiZGlzY291bnQiOjAsInNlbGxpbmdQcmljZSI6MTg3LCJpbmNsdWRlc1RheCI6dHJ1ZSwicHJpY2VUeXBlIjoiSXBwIiwiY3VycmVuY3kiOiJNWE4iLCJmcm9tIjoiMjAyNS0wOC0wMVQxODowMDowMFoiLCJyZWdpb24iOiJNWCIsImlzUHJlb3JkZXIiOmZhbHNlfV0=6610000874897_<p>"Coq Language and Proof Development"</p><p>"Coq Language and Proof Development" is a definitive guide to the theory, practice, and application of Coq, a leading interactive theorem prover and functional programming language. The book begins with a rigorous exploration of the foundational principles of Coq and its roots in modern type theory, offering the reader a thorough grounding in dependent types, the Curry-Howard correspondence, and the logical framework underlying the system. It methodically traverses topics such as universe polymorphism, logical consistency, and the expressivity that sets Coq apart as a tool for both formal mathematics and software verification.</p><p>The heart of the text is a detailed treatment of Gallina, Coqs specification and programming language, covering its syntax, semantics, and complex features such as inductive and coinductive types, higher-order functions, pattern matching, and powerful abstraction mechanisms. Readers are expertly guided through disciplined proof development methodologies, including structuring large formalizations, leveraging proof automation with custom tactics in Ltac, and systematically reasoning about inductive and coinductive data. The book further addresses automation and meta-programming, drawing comparisons with alternative approaches and providing practical guidance for building large, maintainable proof developments.</p><p>Spanning a wide range of domains, the book demonstrates the use of Coq for formalizing mathematicsfrom foundational number systems to advanced topics in category theory and homotopy type theoryas well as for end-to-end software verification, including certified program extraction and integration with industrial workflows. It closes by equipping readers with best practices, extensibility techniques, and insights into the active Coq community, making it an indispensable resource for learners and experts eager to master formal reasoning in both theoretical and applied contexts.</p>...6610000874897_HiTeX Presslibro_electonico_6610000874897_6610000874897Richard JohnsonInglésMéxicohttps://getbook.kobo.com/koboid-prod-public/content2connect_drm-epub-7be73a67-0efe-4c59-9933-99dd93bc68d3.epub2025-06-14T00:00:00+00:00HiTeX Press