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arXiv · 2403.04254

Finite final segments of the d.c.e. Turing degrees

Steffen Lempp·Yiqun Liu·Yong Liu·Keng Meng Ng·Cheng Peng·Guohua Wu
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Abstract

We prove that every finite distributive lattice is isomorphic to a final segment of the d.c.e. Turing degrees (i.e., the degrees of differences of computably enumerable sets). As a corollary, we are able to infer the undecidability of the EAE-theory of the d.c.e. degrees in the language of partial ordering.

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Steffen Lempp, Yiqun Liu, Yong Liu, Keng Meng Ng, Cheng Peng, Guohua Wu. 2024-03-21. Finite final segments of the d.c.e. Turing degrees. https://arxiv.org/abs/2403.04254

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