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  1.  1
    The Determined Property of Baire in Reverse Math.Eric P. Astor, Damir Dzhafarov, Antonio Montalbán, Reed Solomon & Linda Brown Westrick - 2020 - Journal of Symbolic Logic 85 (1):166-198.
    We define the notion of a completely determined Borel code in reverse mathematics, and consider the principle $CD - PB$, which states that every completely determined Borel set has the property of Baire. We show that this principle is strictly weaker than $AT{R_0}$. Any ω-model of $CD - PB$ must be closed under hyperarithmetic reduction, but $CD - PB$ is not a theory of hyperarithmetic analysis. We show that whenever $M \subseteq {2^\omega }$ is the second-order part of an ω-model (...)
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  2.  7
    The Computational Content of Intrinsic Density.Eric P. Astor - 2018 - Journal of Symbolic Logic 83 (2):817-828.
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  3.  11
    The Uniform Content of Partial and Linear Orders.Eric P. Astor, Damir D. Dzhafarov, Reed Solomon & Jacob Suggs - 2017 - Annals of Pure and Applied Logic 168 (6):1153-1171.