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Perhaps you might be interested in Definition 3.1 in sciencedirect.com/science/article/pii/S0168007216300276 a(link); a free version is available from math.cmu.edu/~rami/canon-forking_03_03_2016here.pdf
Perhaps you might be interested in Definition 3.1 in sciencedirect.com/science/article/pii/S0168007216300276 a free version available from math.cmu.edu/~rami/canon-forking_03_03_2016.pdf
Perhaps you might be interested in Definition 3.1 in sciencedirect.com/science/article/pii/S0168007216300276 (link); a free version is available from here.
Perhaps you might be interested in Definition 3.1 in sciencedirect.com/science/article/pii/S0168007216300276 a free version available from math.cmu.edu/~rami/canon-forking_03_03_2016.pdf