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JSYML
2010
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13 years 7 months ago
Formalizing non-standard arguments in second-order arithmetic
In this paper, we introduce the systems ns-ACA0 and ns-WKL0 of non-standard second-order arithmetic in which we can formalize non-standard arguments in ACA0 and WKL0, respectively...
Keita Yokoyama
MLQ
2007
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13 years 12 months ago
Non-standard analysis in ACA0 and Riemann mapping theorem
Abstract. This research is motivated by the program of Reverse Mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second order arithmetic...
Keita Yokoyama