We map the space of soundness criteria for secure compilation based on the
preservation of hyperproperties in arbitrary adversarial contexts, which we
call robust hyperproperty preservation. For this, we study the preservation of
several classes of hyperproperties and for each class we propose an equivalent
"property-free" characterization of secure compilation that is generally better
tailored for proofs. Even the strongest of our soundness criteria, the robust
preservation of all hyperproperties, seems achievable for simple
transformations and provable using context back-translation techniques
previously developed for showing fully abstract compilation. While proving the
robust preservation of hyperproperties that are not safety requires such
powerful context back-translation techniques, for preserving safety
hyperproperties robustly, translating each finite trace prefix back to a source
context seems to suffice.Comment: PriSC'18 final versio
