Lambda Calculus with Types (Hardcover)

Henk Barendregt

ISBN 10: 0521766141 / ISBN 13: 9780521766142

Published by Cambridge University Press, Cambridge, 2013

Hardcover. 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. 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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521766142

Synopsis:

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

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

Wil Dekkers is an Associate Professor in the Institute of Information and Computing Sciences at Radboud University, Nijmegen, The Netherlands.

Richard Statman is a Professor of Mathematics at Carnegie Mellon University, Pittsburgh, USA.

Bibliographic Details

Title: Lambda Calculus with Types (Hardcover)
Publisher: Cambridge University Press, Cambridge
Publication Date: 2013
Binding: Hardcover
Condition: new