Non-Maximal Decidable Structures

Abstract : Given any infinite structure M with a decidable first-order theory, we give a sufficient condition in terms of the Gaifman graph of M, which ensures that M can be expanded with some non-definable predicate in such a way that the first-order theory of the expansion is still decidable.
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Submitted on : Sunday, June 17, 2007 - 9:02:14 AM
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Alexis Bès, Patrick Cégielski. Non-Maximal Decidable Structures. 2007. ⟨hal-00155282⟩

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