Higher Order Quotients and their Implementation in Isabelle HOL

@inproceedings{Slotosch1997HigherOQ,
  title={Higher Order Quotients and their Implementation in Isabelle HOL},
  author={Oscar Slotosch},
  booktitle={TPHOLs},
  year={1997}
}
This paper describes the concept of higher order quotients and an implementation in Isabelle Higher order quotients are a gen eralization of quotients They use partial equivalence relations PERs instead of equivalence relations to group together di erent elements This makes them applicable to arbitrary function spaces Higher order quo tients are conservatively implemented in the Isabelle logic HOL with a type constructor and a type class for PERs Ordinary quotients are a special case of higher… CONTINUE READING