On the definable ideal generated by nonbounding c.e. degrees

Author:

Yu Liang,Yang Yue

Abstract

AbstractLet [NB]1 denote the ideal generated by nonbounding c.e. degrees and NCup the ideal of noncuppable c.e. degrees. We show that both [NB]1 ∩ NCup and the ideal generated by nonbounding and noncuppable degrees are new, in the sense that they are different from M, [NB]1 and NCup—the only three known definable ideals so far.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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