In Gödel's constructible universe L, a regular cardinal reflects γ-stationary sets exactly when it is Π^1_γ-indescribable, and new square sequences witness the failure when it is not.
134, Suomalainen Tiedeakatemia, 2003
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Generalisations of Stationarity, Closed and Unboundedness, and of Jensen's $\Box$
In Gödel's constructible universe L, a regular cardinal reflects γ-stationary sets exactly when it is Π^1_γ-indescribable, and new square sequences witness the failure when it is not.