Omitting Types in Fragments and Extensions of First Order Logic

Fix \(2 < n < \omega\). Let \(L_n\) denote first order logic restricted to the first n variables. Using the machinery of algebraic logic, positive and negative results on omitting types are obtained for \(L_n\) and for infinitary variants and extensions of \(L_{\omega, \omega}\).

Bibliographic Details
Main Author: Tarek Sayed Ahmed
Format: Article
Language:English
Published: Lodz University Press 2021-09-01
Series:Bulletin of the Section of Logic
Subjects:
Online Access:https://czasopisma.uni.lodz.pl/bulletin/article/view/9884