Lambda-calculus and combinators, an introduction [E-Book] / J. Roger Hindley, Jonathan P. Seldin.
Hindley, J. Roger, (author)
Seldin, J. P., (author)
Second edition.
Cambridge : Cambridge University Press, 2008
1 online resource (xi, 345 pages)
Full Text
Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.