Abstract
We present a notion of a degree spectrum of a structure with respect to countably many sets, based on the notion of ω-enumeration reducibility. We prove that some properties of the degree spectrum such as the minimal pair theorem and the existence of quasi-minimal degree are true for the ω-degree spectrum.
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Soskova, A.A. (2008). ω-Degree Spectra. In: Beckmann, A., Dimitracopoulos, C., Löwe, B. (eds) Logic and Theory of Algorithms. CiE 2008. Lecture Notes in Computer Science, vol 5028. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69407-6_58
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DOI: https://doi.org/10.1007/978-3-540-69407-6_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69405-2
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