Logical relations for fine-grained concurrency

Abstract

Fine-grained concurrent data structures (or FCDs) reduce the granularity of critical sections in both time and space, thus making it possible for clients to access different parts of a mutable data structure in parallel. However, the tradeoff is that the implementations of FCDs are very subtle and tricky to reason about directly. Consequently, they are carefully designed to be contextual refinements of their coarse-grained counterparts, meaning that their clients can reason about them as if all access to them were sequentialized.