Is anyone aware of a thorough (mathematical) treatment/analysis of the concept of Kant's "Bedingungen der Möglichkeit" of something (conditions of possibility)?

I thought about it in the following context:

Which conditions must the rules of a cellular automaton fulfill such that phenomenon X can arise/emerge (from some initial conditions)?

(Phenomenon X = e.g. the existence of autopoietic systems)

But that's a very restricted context. I am looking for a general treatment.

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