Solovay reducibility implies S2a-reducibility

Ivan Titov

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arXiv · 2408.04074

Solovay reducibility implies S2a-reducibility

Ivan Titov

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Abstract

The original notion of Solovay reducibility was introduced by Robert M. Solovay (unpublished notes) in 1975 as a measure of relative randomness. The S2a-reducibility introduced by Xizhong Zheng and Robert Rettinger (DOI:10.1007/978-3-540-27798-9_39) in 2004 is a modification of Solovay reducibility suitable for computably approximable (c.a.) reals. We demonstrate that Solovay reducibility implies S2a-reducibility on the set of c.a. reals, even with the same constant, but not vice versa.

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BibTeX RIS

Ivan Titov. 2024-08-07. Solovay reducibility implies S2a-reducibility. https://arxiv.org/abs/2408.04074

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