Translating HOL to Dedukti

Abstract : Dedukti is a logical framework based on the λΠ-calculus modulo rewriting, which extends the λΠ-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.
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Ali Assaf, Guillaume Burel. Translating HOL to Dedukti. Fourth Workshop on Proof eXchange for Theorem Proving, PxTP'15, Aug 2015, Berlin, Germany. pp.74-88, ⟨10.4204/EPTCS.186.8⟩. ⟨hal-01097412v2⟩

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