The structural reflection characterization conjecture for large cardinals

Structural Reflection Principles (SRPs) include forms such as $Pi_n$-SR, SR$^{-}$, Product SR, Generic SR, Weak SR, and Exact SR, each of which is associated with different regions of the large-cardinal hierarchy. A large cardinal notion is a property characterizing a large cardinal, and an SRP is a Structural Reflection Principle.

Structural reflection characterization conjecture. Every known large cardinal notion is equivalent to some form of SRP.

This conjecture proposes that the known equivalences between particular reflection principles and large-cardinal notions are instances of a single general reflection principle. The source gives no resolution status.