Huge reflection

Annals of Pure and Applied Logic 174 (1):103171 (2023)
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C(n)-cardinals.Joan Bagaria - 2012 - Archive for Mathematical Logic 51 (3-4):213-240.
Small embedding characterizations for large cardinals.Peter Holy, Philipp Lücke & Ana Njegomir - 2019 - Annals of Pure and Applied Logic 170 (2):251-271.

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