Two-variable logics with some betweenness relations: Expressiveness, satisfiability and membership

We study two extensions of FO2[<], first-order logic interpreted in finite words, in which formulas are restricted to use only two variables. We adjoin to this language two-variable atomic formulas that say, "the letter $a$ appears between positions $x$ and $y$" and "the factor $u$...

Full description

Bibliographic Details
Main Authors: Andreas Krebs, Kamal Lodaya, Paritosh K. Pandya, Howard Straubing
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2020-09-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/5206/pdf