Twenty Five Years of Constructive Type Theory

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Clarendon Press, Oct 15, 1998 - Mathematics - 292 pages
Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.
 

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Contents

I
1
II
21
III
41
IV
57
V
73
VI
83
VII
113
VIII
173
IX
191
X
205
XI
221
XII
245
XIII
265
XIV
275
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Page ii - Weitkamp: Recursive aspects of descriptive set theory 12. JL Bell: Boolean-valued models and independence proofs in set theory (2nd edition) 13. Melvin Fitting: Computability theory: semantics and logic programming 14. JL Bell: Toposes and local set theories: an introduction 15.
Page 2 - The outline of the paper is as follows. In section 2, we introduce the method and its implementation.

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