Subset Coercions in Coq

@inproceedings{Sozeau2006SubsetCI,
  title={Subset Coercions in Coq},
  author={Matthieu Sozeau},
  booktitle={TYPES},
  year={2006}
}
We propose a new language for writing programs with dependent types which can be elaborated into partial Coq terms. This language permits to establish a phase distinction between writing and proving algorithms in the Coq environment. Concretely, this means allowing to write algorithms as easily as in a practical functional programming language whilst giving them as rich a specification as desired and proving that the code meets the specification using the whole Coq proof apparatus. This is… CONTINUE READING
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