Approximations of Acyclic Graphs

Autor: N.D. Markhabatov
Jazyk: English<br />Russian
Rok vydání: 2022
Předmět:
Zdroj: Известия Иркутского государственного университета: Серия "Математика", Vol 40, Iss 1, Pp 104-111 (2022)
Druh dokumentu: article
ISSN: 1997-7670
2541-8785
DOI: 10.26516/1997-7670.2022.40.104
Popis: 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.
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