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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The Provably Terminating Operations of the Subsystem of Explicit Mathematics.Dieter Probst - 2011 - Annals of Pure and Applied Logic 162 (11):934-947.
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