Degree Spectra of Prime Models

Journal of Symbolic Logic 69 (2):430 - 442 (2004)
Abstract
We consider the Turing degrees of prime models of complete decidable theories. In particular we show that every complete decidable atomic theory has a prime model whose elementary diagram is low. We combine the construction used in the proof with other constructions to show that complete decidable atomic theories have low prime models with added properties. If we have a complete decidable atomic theory with all types of the theory computable, we show that for every degree d with 0 0, T has a d-decidable model omitting the nonprincipal types listed by L
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1082418536
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,191
Through your library
References found in this work BETA
Foundations of Recursive Model Theory.Terrence S. Millar - 1978 - Annals of Mathematical Logic 13 (1):45-72.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Bounding Prime Models.Barbara F. Csima, Denis R. Hirschfeldt, Julia F. Knight & Robert I. Soare - 2004 - Journal of Symbolic Logic 69 (4):1117 - 1142.
A Complete, Decidable Theory with Two Decidable Models.Terrence S. Millar - 1979 - Journal of Symbolic Logic 44 (3):307-312.
The Completeness of S.Harry Deutsch - 1979 - Studia Logica 38 (2):137 - 147.
Complexity, Decidability and Completeness.Douglas Cenzer & Jeffrey B. Remmel - 2006 - Journal of Symbolic Logic 71 (2):399 - 424.
On the Number of Minimal Models.Saharon Shelah - 1978 - Journal of Symbolic Logic 43 (3):475-480.
Categoricity and U-Rank in Excellent Classes.Olivier Lessmann - 2003 - Journal of Symbolic Logic 68 (4):1317-1336.
Definability of Types, and Pairs of o-Minimal Structures.Anand Pillay - 1994 - Journal of Symbolic Logic 59 (4):1400-1409.
Prime Numbers and Factorization in IE1 and Weaker Systems.Stuart T. Smith - 1992 - Journal of Symbolic Logic 57 (3):1057 - 1085.
On Dedekind Complete o-Minimal Structures.Anand Pillay & Charles Steinhorn - 1987 - Journal of Symbolic Logic 52 (1):156-164.
On Uniqueness of Prime Models.Saharon Shelah - 1979 - Journal of Symbolic Logic 44 (2):215-220.
Theories of Arithmetics in Finite Models.M. Krynicki & K. Zdanowski - 2005 - Journal of Symbolic Logic 70 (1):1-28.

Monthly downloads

Added to index

2010-08-24

Total downloads

13 ( #355,454 of 2,172,602 )

Recent downloads (6 months)

1 ( #325,029 of 2,172,602 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums