Computability in Europe 2006
Logical Approaches to Computational Barriers

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Regular Talk:
Relativized Degree Spectra

Speaker: Alexandra Soskova
Presentation: aas.pdf
Slot: Sat, 17:00-17:20, Faraday B (col. 1)

Abstract

A relativized  version of the notion of  Degree spectrum of
a
structure with respect to finitely many abstract structures is
presented, inspired by the notion of relatively alpha-intrinsic
sets. The connection with the notion of Joint spectrum is studied.
Some properties like Minimal Pair type theorem and the existence
of Quasi-Minimal degree with respect to the relative spectrum are
shown. 


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