Lambda Calculus with Types (Hardcover) (ISBN-13: 9780521766142)

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: Henk Barendregt, Wil Dekkers, Richard Statman
ISBN-10: 0521766141
ISBN-13: 9780521766142
Publisher: Cambridge University Press
Language: English
Published: 06/20/2013
Pages: 856
Format: Hardcover
Weight: 3.70lbs
Size: 9.80h x 7.10w x 1.90d

Review Citation(s):
Choice 05/01/2014