Overview

The book develops a type theory, studies its properties, and explains its uses in applications to computer science. In particular, it shows how the study of type theory may offer a powerful and uniform language for programming, program specification and development, and logical reasoning.The type theory developed here reflects a conceptual distinction between logical propositions and computational data types. Starting from introducing the basic concepts, the author explains intuitively the meaning and use of the type-theoretic language with proof-theoretic justifications, and discusses various issues in the study of type theory. The pragmatic use of the language is illustrated by developing an approach to specification and data refinement in type theory, which supports modular development of spcdifications, programs and proofs.

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9780198538356

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Reviews

The best logic of our time is to be found in computer science departments....Computer scientists (many of whom are former logicians) are developing the logic that really matters, the one that really meets the challenges of today's demands for automated reasoning. This book is a prime example of such triumph of useful logic. --The Bulletin of Mathematics Books<br>

<br> The best logic of our time is to be found in computer science departments....Computer scientists (many of whom are former logicians) are developing the logic that really matters, the one that really meets the challenges of today's demands for automated reasoning. This book is a prime example of such triumph of useful logic. --The Bulletin of Mathematics Books<br>

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