Constructive Mathematics, in Theory and Programming Practice (1997)
by
Douglas Bridges
,
Steve Reeves
| Citations: | 6 - 2 self |
BibTeX
@MISC{Bridges97constructivemathematics,,
author = {Douglas Bridges and Steve Reeves},
title = {Constructive Mathematics, in Theory and Programming Practice},
year = {1997}
}
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Abstract
The first part of the paper introduces the varieties of modern constructive mathematics, concentrating on Bishop's constructive mathematics (BISH). It gives a sketch of both Myhill's axiomatic system for BISH and a constructive axiomatic development of the real line R. The second part of the paper focusses on the relation between constructive mathematics and programming, with emphasis on Martin-Lof's theory of types as a formal system for BISH.
