Universes in explicit mathematics

نویسندگان

  • Gerhard Jäger
  • Reinhard Kahle
  • Thomas Studer
چکیده

This paper deals with universes in explicit mathematics. After introducing some basic definitions, the limit axiom and possible ordering principles for universes are discussed. Later, we turn to least universes, strictness and name induction. Special emphasis is put on theories for explicit mathematics with universes which are proof-theoretically equivalent to Feferman’s T0.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 109  شماره 

صفحات  -

تاریخ انتشار 2001