Abstract

The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

"This book is (almost) an encyclopedia of type-free lambda calculus... The reviewer is surprised by the author's success in getting in such an amount of material with motivations and complete proofs..." --Zentralblatt für Mathematik

"It brings together virtually all of the current knowledge on the subject and will be indispensable for serious students of the lambda calculus..." --Journal of Symbolic Logic

"There must have been an exceptional amount of effort to ensure the high quality of text and printing..." --Journal of Symbolic Logic