A Program Logic for Concurrent Objects under Fair Scheduling Hongjin Liang Xinyu Feng School of Computer Science and Technology & Suzhou Institute for Advanced Study University of Science and Technology of China
[email protected] [email protected] Abstract In addition to linearizability, a safety property, object imple- mentations are expected to also satisfy progress properties. The Existing work on verifying concurrent objects is mostly concerned non-blocking progress properties, such as wait-freedom and lock- with safety only, e.g., partial correctness or linearizability. Although freedom which have been studied a lot (e.g., [5, 10, 16, 24]), guar- there has been recent work verifying lock-freedom of non-blocking antee the termination of the method calls independently of how the objects, much less efforts are focused on deadlock-freedom and threads are scheduled. Unfortunately these properties are too strong starvation-freedom, progress properties of blocking objects. These to be satisfied by algorithms with blocking synchronization. For properties are more challenging to verify than lock-freedom because clients using lock-based objects, a delay of a thread holding a lock they allow the progress of one thread to depend on the progress of will block other threads requesting the lock. Thus their progress another, assuming fair scheduling. relies on the assumption that every thread holding the lock will We propose LiLi, a new rely-guarantee style program logic for eventually be scheduled to release it. This assumption requires fair together verifying linearizability and progress for concurrent objects scheduling, i.e., every thread gets eventually executed. As summa- under fair scheduling.