THE COMPLEMENTS OF LOWER CONES OF DEGREES AND THE DEGREE SPECTRA OF STRUCTURES

Author:

ANDREWS URI,CAI MINGZHONG,KALIMULLIN ISKANDER SH.,LEMPP STEFFEN,MILLER JOSEPH S.,MONTALBÁN ANTONIO

Abstract

AbstractWe study Turing degrees a for which there is a countable structure ${\cal A}$ whose degree spectrum is the collection {x : xa}. In particular, for degrees a from the interval [0′, 0″], such a structure exists if a′ = 0″, and there are no such structures if a″ > 0‴.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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