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
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 42,236
Through your library

References found in this work BETA

Foundations of Recursive Model Theory.Terrence S. Millar - 1978 - Annals of Pure and Applied Logic 13 (1):45.

Add more references

Citations of this work BETA

A Characterization of the 0 -Basis Homogeneous Bounding Degrees.Karen Lange - 2010 - Journal of Symbolic Logic 75 (3):971-995.
The Degree Spectra of Homogeneous Models.Karen Lange - 2008 - Journal of Symbolic Logic 73 (3):1009-1028.

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.
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.Michał Krynicki & Konrad Zdanowski - 2005 - Journal of Symbolic Logic 70 (1):1-28.

Analytics

Added to PP index
2010-08-24

Total views
17 ( #482,583 of 2,253,879 )

Recent downloads (6 months)
1 ( #1,021,187 of 2,253,879 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature