Type-directed concurrency

Abstract

We introduce a novel way to integrate functional and concurrent programming based on intuitionistic linear logic. The functional core arises from interpreting proof reduction as computation. The concurrent core arises from interpreting proof search as computation. The two are tightly integrated via a monad that permits both sides to share the same logical meaning for the linear connectives while preserving their different computational paradigms. For example, concurrent computation synthesizes proofs which can be evaluated as functional programs. We illustrate our design with some small examples, including an encoding of the pi-calculus. © Springer-Verlag Berlin Heidelberg 2005.