Ein Wohlordnungsbeweis mit $$ \Delta^{1}_{2} $$ -Komprehension und Bar-Induktion

Kurt Schütte
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Kurt Schütte: Mathematisches Institut, LMU

Chapter Chapter 22 in The Legacy of Kurt Schütte, 2020, pp 445-459 from Springer

Abstract: Abstract In this paper from 1990, Schutte shows that the ordinal representation system T(I) developed in [2] furnishes a lower bound for the proof-theoretic ordinal of the subsystem of second order arithmetic based on $$ \Delta^{1}_{2} $$ -comprehension and bar induction. More precisely, it is shown that for every ordinal $$

Date: 2020
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DOI: 10.1007/978-3-030-49424-7_22

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