Upper Bounds for metapredicative mahlo in explicit mathematics and admissible set theory

Journal of Symbolic Logic 66 (2):935-958 (2001)

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
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DOI 10.2307/2695054
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References found in this work BETA

Proof-Theoretic Analysis of KPM.Michael Rathjen - 1991 - Archive for Mathematical Logic 30 (5-6):377-403.
On Feferman’s Operational Set Theory OST.Gerhard Jäger - 2007 - Annals of Pure and Applied Logic 150 (1-3):19-39.
Extending Martin-Löf Type Theory by One Mahlo-Universe.Anton Setzer - 2000 - Archive for Mathematical Logic 39 (3):155-181.

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The Provably Terminating Operations of the Subsystem of Explicit Mathematics.Dieter Probst - 2011 - Annals of Pure and Applied Logic 162 (11):934-947.
Universes in Explicit Mathematics.Gerhard Jäger, Reinhard Kahle & Thomas Studer - 2001 - Annals of Pure and Applied Logic 109 (3):141-162.

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