Alexis Bes ; Alexander Rabinovich - Decidable Expansions of Labelled Linear Orderings

lmcs:746 - Logical Methods in Computer Science, May 7, 2011, Volume 7, Issue 2 - https://doi.org/10.2168/LMCS-7(2:5)2011
Decidable Expansions of Labelled Linear OrderingsArticle

Authors: Alexis Bes ; Alexander Rabinovich ORCID

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.

Comment: 18 pages


Volume: Volume 7, Issue 2
Published on: May 7, 2011
Imported on: August 7, 2010
Keywords: Computer Science - Logic in Computer Science, Mathematics - Logic, math.LO

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