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An interpretation of \(S_2^1\) in \(\Sigma_1^b\)-NIA - MaRDI portal

An interpretation of \(S_2^1\) in \(\Sigma_1^b\)-NIA (Q2642795)

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An interpretation of \(S_2^1\) in \(\Sigma_1^b\)-NIA
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    An interpretation of \(S_2^1\) in \(\Sigma_1^b\)-NIA (English)
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    5 September 2007
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    It is shown in the paper that Buss's theory \(S^{1}_{2}\) is interpretable in the Ferreira's theory \(\Sigma^{b}_{1}\)-NIA (originally denoted by \(\Sigma^{b}_{1}\)-PIND). The proof of this fact is for the first time carried out formally.
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