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arXiv · 0809.1552

A computer verified, monadic, functional implementation of the integral

Russell O'Connor·Bas Spitters
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Abstract

We provide a computer verified exact monadic functional implementation of the Riemann integral in type theory. Together with previous work by O'Connor, this may be seen as the beginning of the realization of Bishop's vision to use constructive mathematics as a programming language for exact analysis.

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Russell O'Connor, Bas Spitters. 2010-06-03. A computer verified, monadic, functional implementation of the integral. https://doi.org/10.1016/j.tcs.2010.05.031

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