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Recursive in a generic real

Published online by Cambridge University Press:  12 March 2014

Juichi Shinoda  and
Theodore A. Slaman
Juichi Shinoda
Affiliation:
Graduate School of Human Informatics, Nagoya University, Nagoya 464-01Japan, E-mail: shinoda@math.human.nagoya-u.ac.jp
Theodore A. Slaman
Affiliation:
Department of Mathematics, University of California, Berkeley, CA94720, E-mail: slaman@math.berkeley.edu
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Abstract

There is a comeager set contained in the set of 1-generic reals and a first order structure such that for any real number X. there is an element of which is recursive in X if and only if there is a presentation of which is recursive in X.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 164 - 172
Copyright
Copyright © Association for Symbolic Logic 2000

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References

REFERENCES

[1]Slaman, T. A., Relative to any nonrecursive set, Preprint, 1996.Google Scholar
[2]Wehner, S., Enumerations, countable structures and degrees, Preprint, 1996.Google Scholar