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About:
Theories of iterated inductive definitions
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https://gist.github.com/AndrasKovacs/8d445c8457ea0967e807c726b2ce5a3a
https://www.sciencedirect.com/science/article/abs/pii/S0049237X08707699
https://www.sciencedirect.com/science/article/abs/pii/S0049237X08708474
https://www.springer.com/gp/book/9783540111702
http://citeseerx.ist.psu.edu/viewdoc/download%3Fdoi=10.1.1.573.420&rep=rep1&type=pdf
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