Type Theory and Formal Proof: An Introduction - Hardcover

Nederpelt, Rob; Geuvers, Herman

Hardcover

ISBN 10: 110703650X ISBN 13: 9781107036505

Verlag: Cambridge University Press, 2014

Inhaltsangabe

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This book provides a gentle step-by-step introduction in the art of formalizing mathematics on the basis of type theory. It is suitable for a broad audience, ranging from undergraduate students to researchers.

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Reseña del editor

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.

Biografía del autor

Rob Nederpelt was Lecturer in Logic for Computer Science until his retirement. Currently he is a guest researcher in the Faculty of Mathematics and Computer Science at Eindhoven University of Technology, The Netherlands.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2014
• ISBN 10: 110703650X
• ISBN 13: 9781107036505
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 466