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On Σ₁-Structural Differences among Finite Levels of the Ershov Hierarchy
Journal of Symbolic Logic 71 (4):1223 - 1236 (2006)
Abstract
We show that the structure R of recursively enumerable degrees is not a Σ₁-elementary substructure of Dn, where Dn (n > 1) is the structure of n-r.e. degrees in the Ershov hierarchyAuthor Profiles
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Citations of this work
Weak Density and Nondensity among Transfinite Levels of the Ershov Hierarchy.Yong Liu & Cheng Peng - 2020 - Notre Dame Journal of Formal Logic 61 (4):521-536.
The n-r.E. Degrees: Undecidability and σ1 substructures.Mingzhong Cai, Richard A. Shore & Theodore A. Slaman - 2012 - Journal of Mathematical Logic 12 (1):1250005.
References found in this work
The d.r.e. degrees are not dense.S. Cooper, Leo Harrington, Alistair Lachlan, Steffen Lempp & Robert Soare - 1991 - Annals of Pure and Applied Logic 55 (2):125-151.
Intervals and sublattices of the R.E. weak truth table degrees, part I: Density.R. G. Downey - 1989 - Annals of Pure and Applied Logic 41 (1):1-26.
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