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The proof-theoretic analysis of transfinitely iterated fixed point theories

Published online by Cambridge University Press:  12 March 2014

Gerhard JÄger ,
Reinhard Kahle ,
Anton Setzer  and
Thomas Strahm
Gerhard JÄger
Affiliation:
Institut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10, Ch-3012 Bern, Switzerland E-mail: [email protected]
Reinhard Kahle
Affiliation:
Universitüt Tübingen, Wsi, Sand 13, D-72076 Tübingen, Germany E-mail: [email protected]
Anton Setzer
Affiliation:
Department of Mathematics, Uppsala University, P.O. Box 480, S-751 06 Uppsala., Sweden E-mail: [email protected]
Thomas Strahm
Affiliation:
Institut Für Informatik und Angewandte Mathematik, Universitüt Bern, Neubrückstrasse 10, Ch-3012 Bern, Switzerland E-mail: [email protected]
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Abstract

This article provides the proof-theoretic analysis of the transfinitely iterated fixed point theories and ; the exact proof-theoretic ordinals of these systems are presented.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 53 - 67
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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