Syntactic approach to constructions of generic models

被引：10
|
作者：
Sudoplatov, S. V. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Math, Novosibirsk, Russia
来源：
ALGEBRA AND LOGIC | 2007年 / 46卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
generic model; generic theory; STABLE STRUCTURES; FIELDS; EQUALITY; OMEGA; RANK;
D O I：
10.1007/s10469-007-0012-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：134 / 146
页数：13
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