Infinite spectra in the first order theory of graphs

Abstract

The psectrum Spec(A) of a sentenceA is, roughly, the set of those a for whichA has a threshold function at or nearp=n a. Examples are given ofA with infinite spectra and with spectra of order typeΩ i for arbitraryi.

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References

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Spencer, J. Infinite spectra in the first order theory of graphs. Combinatorica 10, 95–102 (1990). https://doi.org/10.1007/BF02122699

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AMS subject classification (1980)

  • 05 C 35