Reflections on reflections in explicit mathematics

  title={Reflections on reflections in explicit mathematics},
  author={Gerhard J{\"a}ger and Thomas Strahm},
  journal={Ann. Pure Appl. Logic},
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the relevant systems of explicit mathematics is couched in terms of suitable extensions of KripkePlatek set theory. 

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