Type Theory and Formal Proof

An Introduction

Nonfiction, Science & Nature, Mathematics, Computers, Programming, Programming Languages, General Computing
Cover of the book Type Theory and Formal Proof by Rob Nederpelt, Herman Geuvers, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Rob Nederpelt, Herman Geuvers ISBN: 9781316053980
Publisher: Cambridge University Press Publication: November 6, 2014
Imprint: Cambridge University Press Language: English
Author: Rob Nederpelt, Herman Geuvers
ISBN: 9781316053980
Publisher: Cambridge University Press
Publication: November 6, 2014
Imprint: Cambridge University Press
Language: English

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.

More books from Cambridge University Press

Cover of the book Jews and Leftist Politics by Rob Nederpelt, Herman Geuvers
Cover of the book Auxiliary Polynomials in Number Theory by Rob Nederpelt, Herman Geuvers
Cover of the book Advances in Economics and Econometrics: Volume 3, Econometrics by Rob Nederpelt, Herman Geuvers
Cover of the book Becoming a Teacher of Language and Literacy by Rob Nederpelt, Herman Geuvers
Cover of the book The Changing Organization by Rob Nederpelt, Herman Geuvers
Cover of the book Case Studies in Neuropalliative Care by Rob Nederpelt, Herman Geuvers
Cover of the book Exact Space-Times in Einstein's General Relativity by Rob Nederpelt, Herman Geuvers
Cover of the book Print Culture in Early Modern France by Rob Nederpelt, Herman Geuvers
Cover of the book Early Childhood Curriculum by Rob Nederpelt, Herman Geuvers
Cover of the book The Rights of Others by Rob Nederpelt, Herman Geuvers
Cover of the book The Verb Phrase in English by Rob Nederpelt, Herman Geuvers
Cover of the book Obstetric Care by Rob Nederpelt, Herman Geuvers
Cover of the book Wetland Ecology by Rob Nederpelt, Herman Geuvers
Cover of the book New Perspectives on Human Development by Rob Nederpelt, Herman Geuvers
Cover of the book Analysing Variation in English by Rob Nederpelt, Herman Geuvers
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy