The proof of the Independence Theorem for Kim-independence in positive thick NSOP 1 theories from [DK22] contains a gap.The theorem is still true, and in this corrigendum we give a different proof.Convention 2.1.We establish some basic conventions.(i) We will drop "positive" everywhere, so "formula", "type" and "theory" always mean "positive (existential) formula", "positive (existential) type" and "positive theory" (or "h-inductive theory") respectively.
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Dobrowolski et al. (2024) studied this question.
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