Geodesic
Binary formulas in countably categorical weakly circularly minimal structures
Algebra i logika, Tome 55 (2016) no. 3, pp. 341-365

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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 $1$.
Keywords: circularly ordered structure, weak circular minimality, countable categoricity, convexity rank. 
@article{AL_2016_55_3_a3,
     author = {B. Sh. Kulpeshov and A. B. Altaeva},
     title = {Binary formulas in countably categorical weakly circularly minimal structures},
     journal = {Algebra i logika},
     pages = {341--365},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_3_a3/}
}
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B. Sh. Kulpeshov; A. B. Altaeva. Binary formulas in countably categorical weakly circularly minimal structures. Algebra i logika, Tome 55 (2016) no. 3, pp. 341-365. http://geodesic.mathdoc.fr/item/AL_2016_55_3_a3/