Syntactic approach to constructions of generic models

• Autores: S.V. Sudoplatov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 46, Nº. 2, 2007, págs. 134-146
• Idioma: inglés
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• Resumen

  • 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.