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Elementary differences between the (2p)-C. E. and the (2p +1)-c. e. enumeration degrees

Published online by Cambridge University Press:  12 March 2014

I. S. Kalimullin
I. S. Kalimullin*
Affiliation:
N.G. Chebotarev Research Institute of Mechanics and, Mathematics Kazan State University, Universitetskaya St. 17, Kazan. 420008, Russia. E-mail: Iskander.Kalimullin@hsu.ru
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Abstract

It is proved that the (2p)-c. e. e-degrees are not elementarily equivalent to the (2p + 1)-c. e. e-degrees for each nonzero p ∈ ω. It follows that m-c. e. e-degrees are not elementarily equivalent to the n-c e. e-degrees if 1 <m < n.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 1 , March 2007 , pp. 277 - 284
Copyright
Copyright © Association for Symbolic Logic 2007

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References

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