Type-theory in color

@article{Bernardy2013TypetheoryIC,
  title={Type-theory in color},
  author={Jean-Philippe Bernardy and Guilhem Moulin},
  journal={Proceedings of the 18th ACM SIGPLAN international conference on Functional programming},
  year={2013}
}
Dependent type-theory aims to become the standard way to formalize mathematics at the same time as displacing traditional platforms for high-assurance programming. However, current implementations of type theory are still lacking, in the sense that some obvious truths require explicit proofs, making type-theory awkward to use for many applications, both in formalization and programming. In particular, notions of erasure are poorly supported. In this paper we propose an extension of type-theory… 
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