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Formulas and Properties, Their Links and Characteristics

Author

Listed:
  • Sergey V. Sudoplatov

    (Sobolev Institute of Mathematics, Academician Koptyug Ave., 4, 630090 Novosibirsk, Russia
    Novosibirsk State Technical University, Chair of Algebra and Mathematical Logic, K.Marx Ave., 20, 630073 Novosibirsk, Russia)

Abstract

In this work, we study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to the given properties are described. Characteristics of generic sentences and generic theories with respect to these properties are described and characterized.

Suggested Citation

  • Sergey V. Sudoplatov, 2021. "Formulas and Properties, Their Links and Characteristics," Mathematics, MDPI, vol. 9(12), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1391-:d:575401
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