  Compiler optimizations, usually expressed as rewrites on program graphs, are
a core part of all modern compilers. However, even production compilers have
bugs, and these bugs are difficult to detect and resolve. The problem only
becomes more complex when compiling parallel programs; from the choice of graph
representation to the possibility of race conditions, optimization designers
have a range of factors to consider that do not appear when dealing with
single-threaded programs. In this paper we present PTRANS, a domain-specific
language for formal specification of compiler transformations, and describe its
executable semantics. The fundamental approach of PTRANS is to describe program
transformations as rewrites on control flow graphs with temporal logic side
conditions. The syntax of PTRANS allows cleaner, more comprehensible
specification of program optimizations; its executable semantics allows these
specifications to act as prototypes for the optimizations themselves, so that
candidate optimizations can be tested and refined before going on to include
them in a compiler. We demonstrate the use of PTRANS to state, test, and refine
the specification of a redundant store elimination optimization on parallel
programs.
