Geodesic
Syntactic approach to constructions of generic models
Algebra i logika, Tome 46 (2007) no. 2, pp. 244-268

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A syntactic approach is described to constructing generic models which generalizes the known semantic one. A sufficient condition of a generic model being homogeneous is specified. It is shown that, within the syntactic approach, any countable homogeneous model is generic. Criteria and a sufficient condition are given for the generic models created in syntactic constructions to be saturated.
Keywords: generic model, generic theory. 
@article{AL_2007_46_2_a3,
     author = {S. V. Sudoplatov},
     title = {Syntactic approach to constructions of generic models},
     journal = {Algebra i logika},
     pages = {244--268},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2007_46_2_a3/}
}
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S. V. Sudoplatov. Syntactic approach to constructions of generic models. Algebra i logika, Tome 46 (2007) no. 2, pp. 244-268. http://geodesic.mathdoc.fr/item/AL_2007_46_2_a3/