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

Kavli Affiliate: Cheng Peng

| First 5 Authors: Steffen Lempp, Yiqun Liu, Yong Liu, Keng Meng Ng, Cheng Peng

| Summary:

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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