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The \(\mu\) quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals

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Abstract.

This paper is about two topics: 1. systems of explicit mathematics with universes and a non-constructive quantification operator $\mu$; 2. iterated fixed point theories with ordinals. We give a proof-theoretic treatment of both families of theories; in particular, ordinal theories are used to get upper bounds for explicit theories with finitely many universes.

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Authors and Affiliations

  1. Institut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10, CH-3012 Bern, Switzerland (e-mail: {marzetta,strahm}@iam.unibe.ch) , , , , , , CH

    Markus Marzetta & Thomas Strahm

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  1. Markus Marzetta
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  2. Thomas Strahm
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Received February 2, 1996

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Marzetta, M., Strahm, T. The \(\mu\) quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals. Arch Math Logic 37, 391–413 (1998). https://doi.org/10.1007/s001530050105

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  • DOI: https://doi.org/10.1007/s001530050105

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