- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
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's Profile
Other Versions
No versions found
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
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.
On Transfinite Levels of the Ershov Hierarchy.Cheng Peng - 2021 - Bulletin of Symbolic Logic 27 (2):220-221.
Normalizing notations in the Ershov hierarchy.Cheng Peng - 2021 - Mathematical Logic Quarterly 67 (4):506-513.
Classifying equivalence relations in the Ershov hierarchy.Nikolay Bazhenov, Manat Mustafa, Luca San Mauro, Andrea Sorbi & Mars Yamaleev - 2020 - Archive for Mathematical Logic 59 (7-8):835-864.
Index sets in the arithmetical Hierarchy.Ulrike Brandt - 1988 - Annals of Pure and Applied Logic 37 (2):101-110.
Generalized nonsplitting in the recursively enumerable degrees.Steven Leonhardi - 1997 - Journal of Symbolic Logic 62 (2):397-437.
An almost-universal cupping degree.Jiang Liu & Guohua Wu - 2011 - Journal of Symbolic Logic 76 (4):1137-1152.
Generalized cohesiveness.Tamara Hummel & Carl Jockusch - 1999 - Journal of Symbolic Logic 64 (2):489-516.
Analytics
Added to PP
2010-08-24
Downloads
41 (#527,608)
6 months
10 (#367,827)
2010-08-24
Downloads
41 (#527,608)
6 months
10 (#367,827)
Historical graph of downloads
Author's Profile
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. Barry Cooper, Leo Harrington, Alistair H. Lachlan, Steffen Lempp & Robert I. 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.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7f8ff5d46-qj788 uwo