Abstract
We prove that in theories without the tree property of the second kind (which include dependent and simple theories) forking and dividing over models are the same, and in fact over any extension base. As an application we show that dependence is equivalent to bounded non-forking assuming NTP₂.
Citation
Artem Chernikov. Itay Kaplan. "Forking and dividing in NTP₂ theories." J. Symbolic Logic 77 (1) 1 - 20, March 2012. https://doi.org/10.2178/jsl/1327068688
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