Geodesic
Countably categorical theories
Algebra i logika, Tome 51 (2012) no. 3, pp. 358-384

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A series of countably categorical theories are constructed based on the Fraisse method. In particular, an example of a decidable countably categorical theory of finite signature is given for which no decidable model has an infinite computable set of order-indiscernible elements. Such a theory is used to refute Ershov's conjecture on the representability of models of $c$-simple theories over linear orders.
Keywords: countably categorical theory, decidable theory, decidable model, linear order.
Mots-clés : Fraisse method 
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     author = {V. G. Puzarenko},
     title = {Countably categorical theories},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_3_a4/}
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V. G. Puzarenko. Countably categorical theories. Algebra i logika, Tome 51 (2012) no. 3, pp. 358-384. http://geodesic.mathdoc.fr/item/AL_2012_51_3_a4/