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Epsilon substitution for \(\textit{ID}_1\) via cut-elimination

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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 \(\textit{ID}_1\) using a variant of the cut-elimination formalism introduced by Mints.

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104-6395, USA

    Henry Towsner

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  1. Henry Towsner
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Correspondence to Henry Towsner.

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Henry Towsner in memory of Grigori Mints

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Towsner, H. Epsilon substitution for \(\textit{ID}_1\) via cut-elimination. Arch. Math. Logic 57, 497–531 (2018). https://doi.org/10.1007/s00153-017-0590-3

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