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The existential theory of the poset of R.E. degrees with a predicate for single jump reducibility

Published online by Cambridge University Press:  12 March 2014

Steffen Lempp  and
Manuel Lerman
Steffen Lempp
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, E-mail: lempp@math.wisc.edu
Manuel Lerman
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269, E-mail: mlerman@uconnvm.bitnet
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Abstract

We show the decidability of the existential theory of the recursively enumerable degrees in the language of Turing reducibility, Turing reducibility of the Turing jumps, and least and greatest element.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 3 , September 1992 , pp. 1120 - 1130
Copyright
Copyright © Association for Symbolic Logic 1992

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References

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