Lambda Calculus with Types (Perspectives in Logic) - Hardcover

Barendregt, Henk; Dekkers, Wil; Statman, Richard

Hardcover

ISBN 10: 0521766141 ISBN 13: 9780521766142

Publisher: Cambridge University Press, 2013

Synopsis

This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.

About this title

Book Description

Typed lambda calculus is used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), which are used to design and verify IT products and mathematical proofs. This book reveals unexpected mathematical beauty in three classes of typing: simple types, recursive types and intersection types. Numerous exercises are provided.

About the Author

Henk Barendregt holds the chair on the Foundations of Mathematics and Computer Science at Radboud University, Nijmegen, The Netherlands.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2013
• ISBN 10: 0521766141
• ISBN 13: 9780521766142
• Binding: Hardcover
• Language: English
• Number of pages: 856