Decidable Expansions of Labelled Linear Orderings

Computer Science – Logic in Computer Science

Scientific paper

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18 pages

Scientific paper

10.2168/LMCS-7(2:5)2011

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.

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