Using Lightweight Theorem Proving in an Asynchronous Systems Context

As part of the development of a new real-time operating system, an asynchronous communication mechanism, for use between applications, has been implemented in a programming language with an advanced static type system. This mechanism is designed to provide desired properties of asynchronicity, coherency and freshness. We used the features of the type system, including linear and dependent types, to represent and partially prove that the implementation safely upheld coherency and freshness. We believe that the resulting program code forms a good example of how easily linear and dependent types can be applied in practice to prove useful properties of low-level concurrent systems programming, while leaving no traces of runtime overhead.