On the decidability of monadic second-order logic with arithmetic predicates

We investigate the decidability of the monadic second-order (MSO) theory of the structure ❬N; <, P1, … , Pk❭, for various unary predicates P1, …, Pk ⊆ N. We focus in particular on ‘arithmetic’ predicates arising in the study of linear recurrence sequences, such as fixed-base powers Powk = {kn : n...

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Bibliographic Details
Main Authors: Berthé, V, Karimov, T, Nieuwveld, J, Ouaknine, J, Vahanwala, M, Worrell, J
Format: Conference item
Language:English
Published: 2024