Strong Termination for the Epsilon Substitution Method

Journal of Symbolic Logic 61 (3):1193-1205 (1996)
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Abstract

Ackermann proved termination for a special order of reductions in Hilbert's epsilon substitution method for the first order arithmetic. We establish termination for arbitrary order of reductions.

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Update Procedures and the 1-Consistency of Arithmetic.Jeremy Avigad - 2002 - Mathematical Logic Quarterly 48 (1):3-13.

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