More on monadic logic. C: Monadically interpreting in stable unsuperstable \(\mathcal T\) and the monadic theory of \(^{\omega}\lambda\)

DOI10.1007/BF02801469zbMath0704.03016OpenAlexW2086841212MaRDI QIDQ916645

Saharon Shelah

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02801469

zbMATH Keywords

treesquantifierfirst order theorymonadic logicpressing down functions

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)

Cites Work

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• Monadic logic and Löwenheim numbers
• The monadic theory and the next world
• Second-order quantifiers and the complexity of theories
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Notes on monadic logic. A: Monadic theory of the real line
• The monadic theory of order
• Classification theory and the number of non-isomorphic models
• More on monadic logic. Part D: A note on addition of theories
• The monadic theory of ω₂
• Interpreting second-order logic in the monadic theory of order
• On the strength of the interpretation method
• Monadic theory of order and topology in ZFC
• The decision problem for branching time logic
• Modest theory of short chains. II

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