Proof optimization for partial redundancy elimination
Ando Saabas, Tarmo Uustalu · 2008
Partial redundancy elimination is a subtle optimization which performs common subexpression elimination and expression motion at the same time. In this paper, we use it as an example to promote and demonstrate the scalability of the technology of proof optimization. By this we mean automatic transformation of a given program's Hoare logic proof of functional correctness or resource usage into one of the optimized program, guided by a type-derivation representation of the result of the underlying dataflow analyses. A proof optimizer is a useful tool for the producer's side in a natural proof-carrying code scenario where programs are proved correct prior to optimizing compilation before transmission to the consumer.