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Spectra of Monadic Second-Order Formulas with One Unary Function

Yuri Gurevich·Saharon Shelah
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Abstract

We establish the eventual periodicity of the spectrum of any monadic second-order formula where: (i) all relation symbols, except equality, are unary, and (ii) there is only one function symbol and that symbol is unary.

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Yuri Gurevich, Saharon Shelah. 2004-04-07. Spectra of Monadic Second-Order Formulas with One Unary Function. https://arxiv.org/abs/math/0404150

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