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arXiv · 1102.2232

Decidable Expansions of Labelled Linear Orderings

Alexis Bes·Alexander Rabinovich
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Abstract

Consider a linear ordering equipped with a finite sequence of monadic predicates. If the ordering contains an interval of order type ωor -ω, and the monadic second-order theory of the combined structure is decidable, there exists a non-trivial expansion by a further monadic predicate that is still decidable.

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Alexis Bes, Alexander Rabinovich. 2011-05-04. Decidable Expansions of Labelled Linear Orderings. https://doi.org/10.2168/lmcs-7(2%3A5)2011

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