Constructive mathematics in theory and programming practice

Philosophia Mathematica 7 (1):65-104 (1999)

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-L6f 's theory of types as a formal system for BISH.

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References found in this work

Intuitionism an Introduction.Arend Heyting - 1956 - Amsterdam, Netherlands: North-Holland.
Varieties of Constructive Mathematics.D. S. Bridges - 1987 - Cambridge University Press.
Constructive Set Theory.John Myhill - 1975 - Journal of Symbolic Logic 40 (3):347-382.

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