A denotational account of C11-style memory

We introduce a denotational semantic framework for shared-memory concurrent programs in a C11-style memory model. This denotational approach is an alternative to techniques based on "execution graphs" and axiomatizations, and it allows for compositional reasoning. Our semantics generalizes from traces (sequences of actions) to pomsets (partial orders of actions): instead of traces and interleaving, we embrace "true" concurrency. We build on techniques from our prior work that gives a denotational semantics to SPARC TSO. We add support for C11's wider range of memory orderings, e.g., acquire-release and relaxed, and support for local variables and various synchronization primitives, while eliminating significant amounts of technical bookkeeping. Our approach features two main components. We first give programs a syntax-directed denotation in terms of sets of pomsets of memory actions. We then give a race-detecting executional interpretation of pomsets using footprints and a local view of state.