Epsilon substitution for first- and second-order predicate logic

Annals of Pure and Applied Logic 164 (6):733-739 (2013)

Abstract
The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.
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DOI http://dx.doi.org/10.1016/j.apal.2012.05.004
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References found in this work BETA

Ideas and Results in Proof Theory.Dag Prawitz & J. E. Fenstad - 1975 - Journal of Symbolic Logic 40 (2):232-234.
Epsilon Substitution Method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
Mathematical Logic.Georg Kreisel - 1967 - Journal of Symbolic Logic 32 (3):419-420.

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Citations of this work BETA

In memoriam: Grigori E. Mints 1939–2014.Solomon Feferman & Vladimir Lifschitz - 2015 - Bulletin of Symbolic Logic 21 (1):31-33.

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