Abstract
We study the expressive power of open formulas of dependence logic introduced in Väänänen [Dependence logic (Vol. 70 of London Mathematical Society Student Texts), 2007]. In particular, we answer a question raised by Wilfrid Hodges: how to characterize the sets of teams definable by means of identity only in dependence logic, or equivalently in independence friendly logic.
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An erratum to this article can be found online at http://dx.doi.org/10.1007/s10849-010-9125-6.
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Kontinen, J., Väänänen, J. On Definability in Dependence Logic. J of Log Lang and Inf 18, 317–332 (2009). https://doi.org/10.1007/s10849-009-9082-0
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DOI: https://doi.org/10.1007/s10849-009-9082-0