Approximations of Acyclic Graphs

被引：1
|
作者：
Markhabatov, Nurlan D. [1 ]
机构：
[1] Novosibirsk State Tech Univ, Novosibirsk 630073, Russia
来源：
BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2022年 / 40卷
关键词：
approximation of theory; tree; acyclic graph; pseudofinite theory;
D O I：
10.26516/1997-7670.2022.40.104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, approximations of acyclic graphs are studied. It is proved that any theory of an acyclic graph (tree) of finite diameter is pseudofinite with respect to acyclic graphs (trees), that is, any such theory is approximated by theories of finite structures (acyclic graphs, trees). It is also proved that an acyclic graph of infinite diameter with infinite number of rays is pseudofinite.
引用
收藏
页码：104 / 111
页数：8
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