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Author:   Giovanni Sambin (Professor of Mathematical Logic, Professor of Mathematical Logic, University of Padua, Italy) ,  Jan M. Smith (Professor, Department of Computing Science, Professor, Department of Computing Science, Chalmers University of Technology, Sweden)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Volume:   36
Dimensions:   Width: 16.10cm , Height: 2.00cm , Length: 24.20cm
Weight:   0.588kg
ISBN:  

9780198501275

ISBN 10:   0198501277
Pages:   292
Publication Date:   15 October 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

1: Yet another constructivization of classical logic 2: Extension of Martin-Loef's type theory with record types 3: Type-theoretical checking and philosophy of mathematics 4: The Hahn-Banach theorem in type theory 5: A realizability interpretation of Martin-Loef's type theory 6: The groupoid interpretation of type theory 7: An intuitionistic theory of types 8: Analytic program derivation in type theory 9: About storage operators 10: On universes in type theory 11: How to believe a machine-checked proof 12: Building up a toolbox for Martin-Loef's type theory: subset theory 13: An introduction to well-ordering proofs in Martin-Loef's type theory 14: Variable-free formalization of the Curry-Howard theory 15: The forget-restore principle: a paradigmatic example

Reviews

`The book presents a good survey of the current state of the subject.' EMS Newsletter

<br> This is a fine collection of essays about and around Per Martin Ld of's intuitionistic theory. This book is certainly a testimony to the vitality and fruitfulness of Martin-Ld of's ideas in the foundations of mathematics and theoretical computer science. -- Yvon Gauthier, Modern Logic, Vol 8, No1/2 (Jan 98 - Apr 2000) 2000<p><br> This work has made an important contribution to the fields of logic and the foundations of mathematics and is also of broader philosophical significance. Its depth and relevance can be seen by its increasing application to a variety of fields from computing science to linguistics. -- athematical<br>Reviews<p><br>

<br> This is a fine collection of essays about and around Per Martin Ld of's intuitionistic theory. This book is certainly a testimony to the vitality and fruitfulness of Martin-Ld of's ideas in the foundations of mathematics and theoretical computer science. -- Yvon Gauthier, Modern Logic, Vol 8, No 1/2 (Jan 98 - Apr 2000) 2000<br> This work has made an important contribution to the fields of logic and the foundations of mathematics and is also of broader philosophical significance. Its depth and relevance can be seen by its increasing application to a variety of fields from computing science to linguistics. -- athematical<br>Reviews<br>

This is a fine collection of essays about and around Per Martin Ld of's intuitionistic theory. This book is certainly a testimony to the vitality and fruitfulness of Martin-Ld of's ideas in the foundations of mathematics and theoretical computer science. -- Yvon Gauthier, Modern Logic, Vol 8, No 1/2 (Jan 98 - Apr 2000) 2000<br> This work has made an important contribution to the fields of logic and the foundations of mathematics and is also of broader philosophical significance. Its depth and relevance can be seen by its increasing application to a variety of fields from computing science to linguistics. --<br>athematical <br>Reviews<br>

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