Undecidability of a weak version of MSO+U

We prove the undecidability of MSO on $\omega$-words extended with the second-order predicate $U_1(X)$ which says that the distance between consecutive positions in a set $X \subseteq \mathbb{N}$ is unbounded. This is achieved by showing that adding $U_1$ to MSO gives a logic with the same expressiv...

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Bibliographic Details
Main Authors: Mikołaj Bojańczyk, Laure Daviaud, Bruno Guillon, Vincent Penelle, A. V. Sreejith
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2020-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/5059/pdf