Verified Validation of Program Slicing

Program slicing is a well-known program transformation which simplifies a program wrt a given criterion while preserving its semantics. Since the seminal paper published by Weiser in 1981, program slicing is still widely used in various application domains. State of the art program slicers operate over program dependence graphs (PDG), a sophisticated data structure combining data and control dependences. In this paper, we follow the a posteriori validation approach to formally verify (in Coq) a general program slicer. Our validator for program slicing is efficient and validates the results of a run of an unverified program slicer. Program slicing is interesting for a posteriori validation because the correctness proof of program slicing requires to compute new supplementary information from the PDG, thus decoupling the slicing algorithm from its proof. Our semantics-preserving program slicer is integrated into the CompCert formally verified compiler. It operates over an intermediate language of the compiler having the same expressiveness as C. Our experiments show that our formally verified validator scales on large realistic programs.