Bridges, D. & Reeves, S. (1999). Constructive Mathematics in Theory and Programming Practice. Philosophia Mathematica, 7(3), 65-104.
Permanent Research Commons link: http://hdl.handle.net/10289/1471
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 focuses on the relation between constructive mathematics and programming, with emphasis on Martin-Lof’s theory of types as a formal system for BISH.
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