A Formally-Verified Framework for Fair Synchronization in Kotlin Coroutines

Abstract

Writing concurrent code that is both correct and efficient is notoriously difficult: thus, programmers often prefer to use synchronization abstractions, which render code simpler and easier to reason about. Despite a wealth of work on this topic, there is still a gap between the rich semantics provided by synchronization abstractions in modern programming languages-specifically, fair FIFO ordering of synchronization requests and support for abortable operations-and frameworks for implementing such semantics correctly and efficiently. Supporting such semantics is critical given the rising popularity of constructs for asynchronous programming, such as coroutines, which abort frequently, and should be cheaper to suspend and resume compared to native threads. We introduce a new framework called the CancellableQueueSynchronizer (CQS), which enables efficient fair and abortable implementations of fundamental synchronization primitives such as mutexes, semaphores, barriers, count-down-latches, and blocking pools. Our first contribution is algorithmic, as implementing both fairness and abortability efficiently at this level of generality is non-trivial. Importantly, all our algorithms come with formal proofs in the Iris framework for Coq. These proofs are modular, so it is easy to prove correctness for new primitives implemented on top of CQS. To validate practical impact, we integrated CQS into the Kotlin Coroutines library. Compared against Java's AbstractQueuedSynchronizer, the only practical abstraction to provide similar semantics, CQS shows significant improvements across all benchmarks, of up to two orders of magnitude. In sum, CQS is the first framework to combine expressiveness with formal guarantees and strong practical performance, and should be extensible to other languages and other families of synchronization primitives.