Reflections on reflections in explicit mathematics

@article{Jger2005ReflectionsOR,
  title={Reflections on reflections in explicit mathematics},
  author={Gerhard J{\"a}ger and Thomas Strahm},
  journal={Ann. Pure Appl. Logic},
  year={2005},
  volume={136},
  pages={116-133}
}
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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Showing 1-10 of 24 references

Uniform limit in explicit mathematics with universes, Tech. Report IAM-97-002

  • Reinhard Kahle
  • Institut für Informatik und angewandte…
  • 1997
Highly Influential
8 Excerpts

An intuitionistic theory of types: predicative part, Logic Colloquium ’73

  • Per Martin-Löf
  • (Harvey E. Rose and John Sheperdson,
  • 1975
Highly Influential
5 Excerpts

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