Journal of Logic and Computation Advance Access published online on July 16, 2007
Journal of Logic and Computation, doi:10.1093/logcom/exm043
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Original papers |
Relativized Degree Spectra
Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria.
E-mail: asoskova{at}fmi.uni-sofia.bg
Received 19 October 2006.
| Abstract |
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We present a relativized version of the notion of a degree spectrum of a structure with respect to finitely many abstract structures. We study the connection to the notion of joint spectrum. We prove that some properties of the degree spectrum as a minimal pair theorem and the existence of quasi-minimal degrees are true for the relative spectrum.
Keywords: Enumeration degrees; forcing; degree spectra; recursive
+k formulae