The metamathematics of random graphs

Annals of Pure and Applied Logic 143 (1-3):20-28 (2006)
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Abstract

We explain and summarize the use of logic to provide a uniform perspective for studying limit laws on finite probability spaces. This work connects developments in stability theory, finite model theory, abstract model theory, and probability. We conclude by linking this context with work on the Urysohn space

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Citations of this work

Simple structures axiomatized by almost sure theories.Ove Ahlman - 2016 - Annals of Pure and Applied Logic 167 (5):435-456.

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References found in this work

Probabilities on finite models.Ronald Fagin - 1976 - Journal of Symbolic Logic 41 (1):50-58.
Paires de structures Stables.Bruno Poizat - 1983 - Journal of Symbolic Logic 48 (2):239-249.
Ultraproducts which are not saturated.H. Jerome Keisler - 1967 - Journal of Symbolic Logic 32 (1):23-46.
On Model-Completeness.Per Lindström - 1964 - Theoria 30 (3):183-196.

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