On logical hierarchies within FO^2-definable languages

We consider the class of languages defined in the 2-variable fragment of the first-order logic of the linear order. Many interesting characterizations of this class are known, as well as the fact that restricting the number of quantifier alternations yields an infinite hierarchy whose levels are var...

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Bibliographic Details
Main Authors: Manfred Kufleitner, Pascal Weil
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2012-08-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1212/pdf