Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11856-010-0064-3
Title: The theory of the α degrees is undecidable
Authors: Chong, C.T. 
Slaman, T.A.
Issue Date: 2010
Citation: Chong, C.T., Slaman, T.A. (2010). The theory of the α degrees is undecidable. Israel Journal of Mathematics 178 (1) : 229-252. ScholarBank@NUS Repository. https://doi.org/10.1007/s11856-010-0064-3
Abstract: Let α be an arbitrary Σ1-admissible ordinal. For each n, there is a formula φn(x→, y→) such that for any relation R on a finite set F with n elements, there are α-degrees p→ such that the relation defined by φn(x→, p→) is isomorphic to R. Consequently, the theory of α-degrees is undecidable. © 2010 Hebrew University Magnes Press.
Source Title: Israel Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/104366
ISSN: 00212172
DOI: 10.1007/s11856-010-0064-3
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

103
checked on Jun 23, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.