Basic Simple Type Theory

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Paperback | 25 March 2008

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200 Pages

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22.86 x 15.24 x 1.17

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Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.

Industry Reviews

"This is an excellent introduction to type theory. It doesn't bog the reader down in any of the messy details of the proofs and yet it provides many of the most interesting results in the field...Overall, it is a great book for someone who wants to get his feet wet in type theory, but doesn't want to get in over his head." Sigact News "...the book makes useful and stimulating reading and it will be an essential tool for computer scientists working in type theory and related areas." Mathematical Reviews The proofs in this book are given in great detail, and still the author succeeds in writing the book in a clear but not too technical style. It is easy and pleasurable to read this book." Journal of Symbolic Logic

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Programming & Software Development Programming & Scripting Languages Computer Science Mathematical Theory of Computation Mathematics Mathematical Foundation Mathematical Logic Software Engineering

Other Editions and Formats

Hardcover

Published: 29th September 1997

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Introduction
The type-free -calculus
Assigning types to terms
The principal-type algorithm
Type assignment with equality
A version using typed terms
The correspondence with implication
The converse principal-type algorithm
Counting a type's inhabitants
Technical details
Answers to starred exercises
Bibliography
Table of principal types
Index
Table of Contents provided by Publisher. All Rights Reserved.

Basic Simple Type Theory

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Hardcover

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