Compositional Reasoning for Explicit Resource Management in Channel-Based Concurrency

We define a pi-calculus variant with a costed semantics where channels are treated as resources that must explicitly be allocated before they are used and can be deallocated when no longer required. We use a substructural type system tracking permission transfer to construct coinductive proof techniques for comparing behaviour and resource usage efficiency of concurrent processes. We establish full abstraction results between our coinductive definitions and a contextual behavioural preorder describing a notion of process efficiency w.r.t. its management of resources. We also justify these definitions and respective proof techniques through numerous examples and a case study comparing two concurrent implementations of an extensible buffer.Comment: 51 pages, 7 figure

Reasoning about explicit resource management

We investigate the behaviour and efficiency of concurrent processes with explicit resource management. Our study is based on a π-calculus variant called Rπ [4] where the only resources available are channels, which must be explicitly allocated before they can be used and can be deallocated when no longer required. A substructural type system guarantees the safe allocation and deallocation of channels, as well as safe channel reuse through strong updates. In this paper we use this type system to give compositional proof techniques for reasoning about the behaviour and efficiency of Rπ processes.peer-reviewe