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MR2566574 03B30 (03F30 03F35 03H15 05D10)
Chong, C. T.; Lempp, Steffen; Yang, Yue On the role of the collection principle for $\Sigma^0_2$-formulas in second-order reverse mathematics. Proc. Amer. Math. Soc. 138 (2010), no. 3, 1093–1100.
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