The Computational Content of Arithmetical Proofs
Notre Dame Journal of Formal Logic 53 (3):289-296 (2012)
| Abstract | For any extension $T$ of $I\Sigma_{1}$ having a cut-elimination property extending that of $I\Sigma_{1}$ , the number of different proofs that can be obtained by cut elimination from a single $T$ -proof cannot be bound by a function which is provably total in $T$ | |||||||||
| Keywords | computational content cut elimination first-order arithmetic | |||||||||
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Gilles Dowek & Olivier Hermant (2012). A Simple Proof That Super-Consistency Implies Cut Elimination. Notre Dame Journal of Formal Logic 53 (4):439-456.
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