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EMSO(FO$^2$) 0-1 Law Fails for All Dense Random Graphs

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Publication:5096587
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DOI10.1137/21M1429655zbMath1496.05174arXiv2106.13968OpenAlexW3174673542WikidataQ114847118 ScholiaQ114847118MaRDI QIDQ5096587

M. E. Zhukovskii, Margarita Akhmejanova

Publication date: 18 August 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13968

zbMATH Keywords

random graphs0-1 lawsconvergence lawsexistential monadic second order logic


Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Classical first-order logic (03B10) Second- and higher-order model theory (03C85) Density (toughness, etc.) (05C42)




Cites Work

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  • Elements of finite model theory.
  • On random models of finite power and monadic logic
  • The 0-1 law fails for monadic existential second-order logic on undirected graphs
  • Existential monadic second order logic of undirected graphs: the Le Bars conjecture is false
  • Probabilities on finite models
  • The strange logic of random graphs
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