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Bounding minimal degrees by computably enumerable degrees

Published online by Cambridge University Press:  12 March 2014

Angsheng Li  and
Dongping Yang
Angsheng Li
Affiliation:
Institute of Software, Academia Sinica, 100080. Beijing, China. E-mail:liang@ox.ios.ac.cn
Dongping Yang
Affiliation:
Institute of Software, Academia Sinica, 100080, Beijing, China. E-mail:ydp@ox.ios.ac.cn
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Abstract

In this paper, we prove that there exist computably enumerable degrees a and b such that a > b and for any degree x, if x ≤ a and x is a minimal degree, then x < b.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 63 , Issue 4 , December 1998 , pp. 1319 - 1347
Copyright
Copyright © Association for Symbolic Logic 1998

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