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Binary Formulas in Countably Categorical Weakly Circularly Minimal Structures

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Algebra and Logic Aims and scope

Countably categorical weakly circularly minimal structures that are not 1-transitive are studied. We give a characterization of the behavior of binary formulas acting on a set of realizations of a nonalgebraic 1-type, and based on it, we present a complete description of countably categorical non-1-transitive weakly circularly minimal n-convex (n > 1) almost binary theories of convexity rank 1.

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Authors and Affiliations

  1. International Information Technologies University, Manas str. 34A/Zhandosov str. 8A, Alma-Ata, 050040, Kazakhstan

    B. Sh. Kulpeshov

  2. Institute of Informatics and Control, ul. Pushkina 125, Alma-Ata, 050010, Kazakhstan

    A. B. Altaeva

Authors
  1. B. Sh. Kulpeshov
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  2. A. B. Altaeva
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Corresponding author

Correspondence to B. Sh. Kulpeshov.

Additional information

Supported by KN MON RK, project No. 0830/GF4.

Translated from Algebra i Logika, Vol. 55, No. 3, pp. 341-365, May-June, 2016.

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Kulpeshov, B.S., Altaeva, A.B. Binary Formulas in Countably Categorical Weakly Circularly Minimal Structures. Algebra Logic 55, 226–241 (2016). https://doi.org/10.1007/s10469-016-9391-8

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  • DOI: https://doi.org/10.1007/s10469-016-9391-8

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