Model-theoretic properties of the \(n\)-c.e. degrees
type: Item
instance of: scholarly article
zbMATH Open document ID: 1254.03079
publication date: 2012-09-05T00:00:00Z
Mathematics Subject Classification ID: 03D28
Mathematics Subject Classification ID: 03D30
Mathematics Subject Classification ID: 03D55
zbMATH DE Number: 6078040
zbMATH Keywords: survey paper
zbMATH Keywords: \(n\)-c.e. sets
zbMATH Keywords: \(n\)-c.e. degrees
zbMATH Keywords: difference hierarchy
zbMATH Keywords: Ershov hierarchy
zbMATH Keywords: Turing reducibility
zbMATH Keywords: \(\Sigma ^{0}_{1}\)-substructures
zbMATH Keywords: definability
zbMATH Keywords: embeddability
zbMATH Keywords: elementary equivalence
zbMATH Keywords: countable categoricity
author: M. M. Arslanov
MaRDI profile type: Publication
full work available at URL: exq034
OpenAlex ID: W1979016908
Wikidata QID: Q128145816
DOI: 10.1093/LOGCOM/EXQ034
Recommended article: Model theory of the computably enumerable many-one degrees
Recommended article: The degrees of categorical theories with recursive models
Recommended article: Degrees of Recursively Saturated Models
Recommended article: Q4732450
Recommended article: Two theorems on degrees of models of true arithmetic
Recommended article: Some model theory of Th(N,·)$\operatorname{Th}(\mathbb {N},\cdot )$
Recommended article: Q4851333
Recommended article: The number of the models of complete Horn theories of finite depth
Recommended article: Degrees of Indiscernibles in Decidable Models
Recommended article: Model theory for \(\mathsf{C}_{\mathsf{p}}\)-theorists
title: Model-theoretic properties of the \(n\)-c.e. degrees
published in: Journal of Logic and Computation
review text: This survey article discusses \(n\)-c.e. degrees from a model-theoretic perspective, presenting results and open questions related to such issues as definability, embeddability, elementary equivalence, and countable categoricity.
reviewed by: Leon Harkleroad
description: scientific article; zbMATH DE number 6078040