The Strength of Martin-ll of Type Theory with a Superuniverse. Part

  title={The Strength of Martin-ll of Type Theory with a Superuniverse. Part},
  author={Michael Rathjen},
Universes of types were introduced into constructive type theory by Martin-LL of 3]. The idea of forming universes in type theory is to introduce a universe as a set closed under a certain speciied ensemble of set constructors, say C. The universe then \reeects" C. This is the second part of a paper which addresses the exact logical strength of a particular such universe construction, the so-called superuniverse due to Palmgren (cf. 4, 5, 6]). It is proved that Martin-LL of type theory with a… CONTINUE READING

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