

 
LambdaCalculus and Combinators: An Introduction
 J. Roger Hindley
 Combinatory logic and lambdacalculus, originally devised in the 1920 s, have since developed into linguistic tools, especially useful in programming languages. The authors previous book served as the main reference for introductory courses on lambdacalculus for over 20 years: this longawaited new version is thoroughly revised and offers a fully uptodate account of the subject, with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambdacalculus are discussed, followed by an introduction to typetheory. Typed and untyped versions of the systems, and their differences, are covered. Lambdacalculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as nontechnical 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.



