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Upper bounds for metapredicative Mahlo in explicit mathematics and admissible set theory

Published online by Cambridge University Press:  12 March 2014

Gerhard Jäger
Affiliation:
Institut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10, CH-3012 Bern, Switzerland, E-mail: {jaeger,strahm}@iam.unibe.ch
Thomas Strahm
Affiliation:
Institut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10, CH-3012 Bern, Switzerland, E-mail: {jaeger,strahm}@iam.unibe.ch

Abstract

In this article we introduce systems for metapredicative Mahlo in explicit mathematics and admissible set theory. The exact upper proof-theoretic bounds of these systems are established.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2001

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