A Fully Abstract Game Semantics for Parallelism with Non-Blocking Synchronization on Shared Variables

Abstract

We present a fully abstract game semantics for an Algol-like parallel language with non-blocking synchronization primitive. Elaborating on Harmer\u27s game model for nondeterminism, we develop a game framework appropriate for modeling parallelism. The game is a sophistication of the wait-notify game proposed in a previous work, which makes the signals for thread scheduling explicit with a certain set of extra moves. The extra moves induce a Kleisli category of games, on which we develop a game semantics of the Algol-like parallel language and establish the full abstraction result with a significant use of the non-blocking synchronization operation