Emergent Mind
Decidable Expansions of Labelled Linear Orderings
(1102.2232)
Published Feb 10, 2011
in
cs.LO
and
math.LO
Abstract
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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