Constructive mathematics in theory and programming practice

Philosophia Mathematica 7 (1):65-104 (1999)
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-L6f 's theory of types as a formal system for BISH.
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DOI 10.1093/philmat/7.1.65
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