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Epsilon Substitution for $ID_1$ via Cut-Elimination

Published 1 Sep 2015 in math.LO | (1509.00390v1)

Abstract: The $\epsilon$-substitution method is a technique for giving consistency proofs for theories of arithmetic. We use this technique to give a proof of the consistency of the impredicative theory $ID_1$ using a variant of the cut-elimination formalism introduced by Mints.

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