Non-splittings of speedable sets

Ellen Chih

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arXiv · 1410.1986

Non-splittings of speedable sets

Ellen Chih

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Abstract

An r.e. set $A$ is speedable if for every recursive function, there exists a program enumerating membership in $A$ faster, by the desired recursive factor, on infinitely many integers. We construct a speedable set that cannot be split into speedable sets. This solves a question of Bäuerle and Remmel.

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BibTeX RIS

Ellen Chih. 2014-10-08. Non-splittings of speedable sets. https://arxiv.org/abs/1410.1986

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