On the computational content of the Loeb measure

Sam Sanders

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arXiv · 1609.01945

On the computational content of the Loeb measure

Sam Sanders

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Abstract

The Loeb measure is one of the cornerstones of Nonstandard Analysis. The traditional development of the Loeb measure makes use of saturation and external sets. Inspired by [13], we give meaning to special cases of the Loeb measure in the weak fragment $\textsf{P}$ of Nelson's internal set theory from [1]. Perhaps surprisingly, our definition of the Loeb measure has computational content in the sense of the `term extraction' framework from [1].

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Sam Sanders. 2016-09-07. On the computational content of the Loeb measure. https://arxiv.org/abs/1609.01945

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