Decidable Expansions of Labelled Linear OrderingsArticle
Authors: Alexis Bes ; Alexander Rabinovich
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Alexis Bes;Alexander Rabinovich
Consider a linear ordering equipped with a finite sequence of monadic
predicates. If the ordering contains an interval of order type \omega or
-\omega, 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.
Alexis Bés;Alexander Rabinovich, 2012, On countable chains having decidable monadic theory, Journal of Symbolic Logic, 77, 2, pp. 593-608, 10.2178/jsl/1333566639.