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On power set in explicit mathematics

Published online by Cambridge University Press:  12 March 2014

Thomas Glass
Thomas Glass*
Affiliation:
Siemens AG, Zentralabteilung Forschung und Entwicklung, D-81730 München, Germany
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Abstract

This paper is concerned with the determination of the proof-strength of the power set axiom relative to axiom systems for Feferman's explicit mathematics. As conjectured by Feferman, we obtain that the presence of the power set axiom does not increase proof-strength.

Results are achieved by reducing the systems including the power set axiom to subsystems of classical analysis. In those cases where only the induction axiom is available, we make use of the technique of asymmetrical interpretations.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 2 , June 1996 , pp. 468 - 489
Copyright
Copyright © Association for Symbolic Logic 1996

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References

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