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THE LAMBDA CALCULUS, 103
The Lambda Calculus, 103Its Syntax and Semantics
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Second Edition

By
H.P. Barendregt

Included in series
Studies in Logic and the Foundations of Mathematics, 103

Description
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.

Contents


Towards the Theory.
Introduction. Conversion. Reduction. Theories. Models.

Conversion.
Classical Lambda Calculus. The Theory of Combinators. Classical Lambda Calculus (Continued). The Lambda-Calculus. Böhm Trees.

Reduction.
Fundamental Theorems. Strongly Equivalent Reductions. Reduction Strategies. Labelled Reduction. Other Notions of Reduction.

Theories.
Sensible Theories. Other Lambda Theories.

Models.
Construction of Models. Local Structure of Models. Global Structure of Models. Combinatory Groups. Appendices: Typed Lambda Calculus. Illative Combinatory Logic. Variables. References.

Bibliographic details
Paperback, 654 pages, publication date: OCT-1984
ISBN-13: 978-0-444-87508-2
ISBN-10: 0-444-87508-5
Imprint: NORTH-HOLLAND

Price and Ordering
Price:
GBP 69.99
EUR 104
USD 124
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Last update: 26 Sep 2008
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