Update Procedures and the 1-Consistency of Arithmetic

Mathematical Logic Quarterly 48 (1):3-13 (2002)
The 1-consistency of arithmetic is shown to be equivalent to the existence of fixed points of a certain type of update procedure, which is implicit in the epsilon-substitution method
Keywords Peano arithmetic  functionals  epsi on substitution  combinatorial independence
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DOI 10.1002/1521-3870(200201)48:1<3::AID-MALQ3>3.0.CO;2-6
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Georg Moser (2006). Ackermann's Substitution Method (Remixed). Annals of Pure and Applied Logic 142 (1):1-18.

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