A Nonstandard Counterpart of WWKL

Notre Dame Journal of Formal Logic 52 (3):229-243 (2011)

Abstract
In this paper, we introduce a system of nonstandard second-order arithmetic $\mathsf{ns}$-$\mathsf{WWKL_0}$ which consists of $\mathsf{ns}$-$\mathsf{BASIC}$ plus Loeb measure property. Then we show that $\mathsf{ns}$-$\mathsf{WWKL_0}$ is a conservative extension of $\mathsf{WWKL_0}$ and we do Reverse Mathematics for this system
Keywords second-order arithmetic   nonstandard analysis   reverse mathematics   weak weak Koeonig's lemma   Martin-Loef random
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DOI 10.1215/00294527-1435429
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