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arXiv · 2206.04996

Randomness below complete theories of arithmetic

George Barmpalias·Wei Wang
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Abstract

We show that degrees containing a complete extensions of arithmetic have the random join property: they are the supremum of any random real they compute, with another random real. The same is true for the truth-table and weak truth-table reducibilities.

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George Barmpalias, Wei Wang. 2022-06-10. Randomness below complete theories of arithmetic. https://arxiv.org/abs/2206.04996

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