Systems of Explicit Mathematics with Non-Constructive µ-Operator and Join

@article{Gla1996SystemsOE,
  title={Systems of Explicit Mathematics with Non-Constructive µ-Operator and Join},
  author={Thomas Gla\ss and Thomas Strahm},
  journal={Ann. Pure Appl. Logic},
  year={1996},
  volume={82},
  pages={193-219}
}
The aim of this article is to give the proof-theoretic analysis of various subsystems of Feferman's theory T 1 for explicit mathematics which contain the non-constructive-operator and join. We make use of standard proof-theoretic techniques such as cut-elimination of appropriate semi-formal systems and asymmetrical interpretations in standard structures for explicit mathematics.