We describe a compilation system for the concurrent programming language Program Composition Notation (PCN). This notation provides a single-assignment programming model that permits concurrent-programming concerns such as decomposition, communication, synchronization, mapping, granularity, and load balancing to be addressed separately in a design. PCN is also extensible with programmer-defined operators, allowing common abstractions to be encapsulated and reused in different contexts. The compilation system incorporates a concurrent-transformation system that allows abstractions to be defined through concurrent source-to-source transformations; these convert programmer-defined operators into a core notation. Run-time techniques allow t...