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math.LO2023★ 1 cited
A New Kim's Lemma
Alex Kruckman, Nicholas Ramsey
Kim's Lemma is a key ingredient in the theory of forking independence in simple theories. It asserts that if a formula divides, then it divides along every Morley sequence in type…
math.LO2023
Generic Stability Independence and Treeless theories
Itay Kaplan, Nicholas Ramsey, Pierre Simon
We initiate a systematic study of \emph{generic stability independence} and introduce the class of \emph{treeless theories} in which this notion of independence is particularly wel…