A computer verified, monadic, functional implementation of the integral

Computer Science – Logic in Computer Science

Scientific paper

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Scientific paper

10.1016/j.tcs.2010.05.031

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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