Higher Order Proof Engineering: Proof Collaboration, Transformation, Checking and Retrieval

International audienceHigher Order Logic has been used in formal mathematics, software verification and hardware verification over the past decades. Recent developments of interactive theorem made sharing proofs between some theorem provers possible. This paper first gives an introduction and an overview of related recent advances, followed by the proof checking benchmarks of a proof sharing repository, namely OpenTheory (after proof transformation by the upgraded Holide). Finally, we introduce ProofCloud, the first proof retrieval engine for higher order proofs