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  1. Conservativity of ultrafilters over subsystems of second order arithmetic.Antonio Montalbán & Richard A. Shore - 2018 - Journal of Symbolic Logic 83 (2):740-765.
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  • Transfinite recursion in higher reverse mathematics.Noah Schweber - 2015 - Journal of Symbolic Logic 80 (3):940-969.
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  • Ultrafilters in reverse mathematics.Henry Towsner - 2014 - Journal of Mathematical Logic 14 (1):1450001.
    We extend theories of reverse mathematics by a non-principal ultrafilter, and show that these are conservative extensions of the usual theories ACA0, ATR0, and [Formula: see text].
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  • On idempotent ultrafilters in higher-order reverse mathematics.Alexander P. Kreuzer - 2015 - Journal of Symbolic Logic 80 (1):179-193.
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