Universität Karlsruhe
Formal Verification of Dead Code Elimination in Isabelle/HOL
  author={Jan Olaf Blech and Lars Gesellensetter and Sabine Glesner},
  title=\{Formal Verification of Dead Code Elimination in Isabelle/HOL},
  booktitle=\{Proceedings of the 3rd IEEE International Conference on Software Engineering and Formal Methods},
  publisher=\{IEEE Computer Society Press},
  abstract=\{Correct compilers are a vital precondition to ensure software correctness. Optimizations are the most error-prone phases in compilers. In this paper, we formally verify dead code elimination (DCE) within the theorem prover Isabelle/ HOL. DCE is a popular optimization in compilers which
is typically performed on the intermediate representation. In our work, we reformulate the algorithm for DCE so that it is applicable to static single assignment (SSA) form which
is a state of the art intermediate representation in modern compilers, thereby showing that DCE is significantly simpler on SSA form than on classical intermediate representations.
Moreover, we formally prove our algorithm correct
within the theorem prover Isabelle/HOL. Our program equivalence criterion used in this proof is based on bisimulation and, hence, captures also the case of non-termination adequately.
Finally we report on our implementation of this verified DCE algorithm in the industrial-strength Scale compiler system.},