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First order theories for nonmonotone inductive definitions: recursively inaccessible and Mahlo

Published online by Cambridge University Press:  12 March 2014

Gerhard Jäger
Gerhard Jäger*
Affiliation:
Nstitut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10 CH-3012 Bern, Switzerland, E-mail: jaeger@iam.unibe.ch
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Abstract

In this paper first order theories for nonmonotone inductive definitions are introduced, and a proof-theoretic analysis for such theories based on combined operator forms à la Richter with recursively inaccessible and Mahlo closure ordinals is given.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 3 , September 2001 , pp. 1073 - 1089
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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