Wellordering proofs for metapredicative mahlo

Journal of Symbolic Logic 67 (1):260-278 (2002)
In this article we provide wellordering proofs for metapredicative systems of explicit mathematics and admissible set theory featuring suitable axioms about the Mahloness of the underlying universe of discourse. In particular, it is shown that in the corresponding theories EMA of explicit mathematics and KPm 0 of admissible set theory, transfinite induction along initial segments of the ordinal φω00, for φ being a ternary Veblen function, is derivable. This reveals that the upper bounds given for these two systems in the paper Jager and Strahm [11] are indeed sharp
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DOI 10.2178/jsl/1190150043
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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.
Universes in Explicit Mathematics.Gerhard Jäger, Reinhard Kahle & Thomas Studer - 2001 - Annals of Pure and Applied Logic 109 (3):141-162.
Fixed Point Theories and Dependent Choice.Gerhard Jäger & Thomas Strahm - 2000 - Archive for Mathematical Logic 39 (7):493-508.

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Citations of this work BETA
Reflections on Reflections in Explicit Mathematics.Gerhard Jäger & Thomas Strahm - 2005 - Annals of Pure and Applied Logic 136 (1-2):116-133.
The Proof-Theoretic Analysis of Σ11 Transfinite Dependent Choice.Christian Rüede - 2003 - Annals of Pure and Applied Logic 122 (1-3):195-234.

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