Dedukti is a logical framework based on the lambda-Pi-calculus modulo
rewriting, which extends the lambda-Pi-calculus with rewrite rules. In this
paper, we show how to translate the proofs of a family of HOL proof assistants
to Dedukti. The translation preserves binding, typing, and reduction. We
implemented this translation in an automated tool and used it to successfully
translate the OpenTheory standard library.Comment: In Proceedings PxTP 2015, arXiv:1507.0837