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Simple types in discretely ordered structures

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Abstract

We introduce a notion of simplicity for types in discretely ordered first order structures. We prove that all the structure on the locus of a simple type is induced exclusively by the ordering relation. As an application we determine all possible expansions of (ω, <) satisfying CB(x = x) = 1.

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Authors and Affiliations

  1. Faculty of Transport and Traffic Engineering, University of Belgrade, Belgrade, Serbia

    Dejan Ilić

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  1. Dejan Ilić
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Correspondence to Dejan Ilić.

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Ilić, D. Simple types in discretely ordered structures. Arch. Math. Logic 53, 929–947 (2014). https://doi.org/10.1007/s00153-014-0396-5

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  • DOI: https://doi.org/10.1007/s00153-014-0396-5

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