We would like to use the Coq proof assistant to mechanically verify
properties of Haskell programs. To that end, we present a tool, named
hs-to-coq, that translates total Haskell programs into Coq programs via a
shallow embedding. We apply our tool in three case studies -- a lawful Monad
instance, "Hutton's razor", and an existing data structure library -- and prove
their correctness. These examples show that this approach is viable: both that
hs-to-coq applies to existing Haskell code, and that the output it produces is
amenable to verification.Comment: 13 pages plus references. Published at CPP'18, In Proceedings of 7th
ACM SIGPLAN International Conference on Certified Programs and Proofs
(CPP'18). ACM, New York, NY, USA, 201