Steps towards Verified Implementations of HOL Light

@inproceedings{Myreen2013StepsTV,
  title={Steps towards Verified Implementations of HOL Light},
  author={Magnus O. Myreen and Scott Owens and Ramana Kumar},
  booktitle={ITP},
  year={2013}
}
This short paper describes our plans and progress towards construction of verified ML implementations of HOL Light: the first formally proved soundness result for an LCF-style prover. Building on Harrison’s formalisation of the HOL Light logic and our previous work on proof-producing synthesis of ML, we have produced verified implementations of each of HOL Light’s kernel functions. What remains is extending Harrison’s soundness proof and proving that ML’s module system provides the required… CONTINUE READING
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