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This article is cited in 15 scientific papers (total in 15 papers)
Syntactic approach to constructions of generic models
S. V. Sudoplatov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
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.
Received: 24.09.2005
Citation:
S. V. Sudoplatov, “Syntactic approach to constructions of generic models”, Algebra Logika, 46:2 (2007), 244–268; Algebra and Logic, 46:2 (2007), 134–146
Linking options:
https://www.mathnet.ru/eng/al4 https://www.mathnet.ru/eng/al/v46/i2/p244
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Abstract page: | 493 | Full-text PDF : | 111 | References: | 65 | First page: | 4 |
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