Notre Dame Journal of Formal Logic 54 (3-4):311-363 (2013)
| Abstract |
We study the Vapnik–Chervonenkis density of definable families in certain stable first-order theories. In particular, we obtain uniform bounds on the VC density of definable families in finite $\mathrm {U}$-rank theories without the finite cover property, and we characterize those abelian groups for which there exist uniform bounds on the VC density of definable families
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| Keywords | theories without the independence property Vapnik–Chervonenkis density finite cover property modules abelian groups |
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| DOI | 10.1215/00294527-2143862 |
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References found in this work BETA
Ω-Categorical, Ω-Stable Structures.G. Cherlin, L. Harrington & A. H. Lachlan - 1985 - Annals of Pure and Applied Logic 28 (2):103-135.
Dp-Minimality: Basic Facts and Examples.Alfred Dolich, John Goodrick & David Lippel - 2011 - Notre Dame Journal of Formal Logic 52 (3):267-288.
On Dp-Minimality, Strong Dependence and Weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
Quasi-o-Minimal Structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
View all 14 references / Add more references
Citations of this work BETA
Dp-Minimal Valued Fields.Franziska Jahnke, Pierre Simon & Erik Walsberg - 2017 - Journal of Symbolic Logic 82 (1):151-165.
A New Dp-Minimal Expansion of the Integers.Eran Alouf & Christian D’elbée - 2019 - Journal of Symbolic Logic 84 (2):632-663.
There Are No Intermediate Structures Between the Group of Integers and Presburger Arithmetic.Gabriel Conant - 2018 - Journal of Symbolic Logic 83 (1):187-207.
On Expansions Of.Quentin Lambotte & Françoise Point - 2020 - Annals of Pure and Applied Logic 171 (8):102809.
On VC-Minimal Fields and Dp-Smallness.Vincent Guingona - 2014 - Archive for Mathematical Logic 53 (5-6):503-517.
View all 10 citations / Add more citations
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