Lambda Calculus with Types

Name: Lambda Calculus with Types
SKU: 10394771
Price: 245.99 AUD
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Hardback

Series:

Perspectives in Logic

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Description

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.

Author Biography:

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.

Release date Australia

June 20th, 2013

Author

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises; 2 Halftones, unspecified; 50 Line drawings, unspecified

Pages

856

Series

Perspectives in Logic

Dimensions

170x244x44

ISBN-13

9780521766142

Product ID

10394771

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