We give a translation suitable for compilation of modern module calculi supporting sealing, generativity, translucent signatures, applicative functors, higher-order functors and/or first-class modules. Ours is the first module-compilation translation with a dynamic correctness theorem. The theorem states that the translation produces target terms that are contextually equivalent to the source, in an appropriate sense. A corollary of the theorem is that the translation is fully abstract. Consequently, the translation preserves all abstraction present in the source. In passing, we also show that modules are a definitional extension of the underlying core language. All of our proofs are formalized in Coq.

@article{paperbot686,
  title = {Fully abstract module compilation},
  author = {Karl Crary},
  journal = {Proceedings of the ACM on Programming Languages},
  volume = {3},
  number = {POPL},
  year = {2019},
  doi = {10.1145/3290323}
}