A Mechanized Translation from Higher-Order Logic to Set Theory

@inproceedings{Krauss2010AMT,
  title={A Mechanized Translation from Higher-Order Logic to Set Theory},
  author={Alexander Krauss and Andreas Schropp},
  booktitle={ITP},
  year={2010}
}
In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This covers all fundamental primitives, particularly type classes. The translation produces LCF-style theorems that are checked by Isabelle’s inference kernel. Type checking is replaced by explicit reasoning about set membership. 
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