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- W2014802624 abstract "The goal of this paper is to announce there is a single orbit of the c.e. sets with inclusion, $E$, such that the question of membership in this orbit is $Sigma^1_1$-complete. This result and proof have a number of nice corollaries: the Scott rank of $E$ is $wock +1$; not all orbits are elementarily definable; there is no arithmetic description of all orbits of $E$; for all finite $alpha geq 9$, there is a properly $Delta^0_alpha$ orbit (from the proof). A few small corrections made in this version" @default.
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- W2014802624 date "2008-04-17" @default.
- W2014802624 modified "2023-09-25" @default.
- W2014802624 title "On the orbits of computably enumerable sets" @default.
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- W2014802624 doi "https://doi.org/10.1090/s0894-0347-08-00604-8" @default.
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