On Σ1-Structural Differences Among Finite Levels of the Ershov Hierarchy-Reference-Cited by-同舟云学术

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On Σ1-Structural Differences Among Finite Levels of the Ershov Hierarchy

Published:2006-12 Issue:4 Volume:71 Page:1223-1236
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Yang Yue,Yu Liang

Abstract

AbstractWe show that the structure of recursively enumerable degrees is not a Σ1-elementary substructure of , where (n > 1) is the structure of n-r.e. degrees in the Ershov hierarchy.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference15 articles.

1. Slaman Theodore A. , The recursively enumerable degrees as a substructure of the Δ2 0, hand-written notes, 1983.

2. A certain hierarchy of sets;Ershov;III, Algebra i Logika,1970

3. Recursively Enumerable Sets and Degrees

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3. Weak Density and Nondensity among Transfinite Levels of the Ershov Hierarchy;Notre Dame Journal of Formal Logic;2020-11-01

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