The Hol Logic Extended with Quantiication over Type Variables

@inproceedings{Melham1993TheHL,
  title={The Hol Logic Extended with Quantiication over Type Variables},
  author={Thomas F. Melham},
  year={1993}
}
The HOL system is an LCF-style mechanized proof-assistant for conducting proofs in higher order logic. This paper discusses a proposal to extend the primitive basis of the logic underlying the HOL system with a very simple form of quantiication over types. It is shown how certain practical problems with using the deenitional mechanisms of HOL would be solved by the additional expressive power gained by making this extension.