Verified Linear Session-Typed Concurrent Programming

We present a system of linear session types that integrates several features aimed at verification of different properties of concurrent programs, specifically types indexed with arithmetic expressions, linear constraints and quantification. We prove the standard type safety properties of session fidelity and deadlock freedom. In order to control the verbosity of programs we introduce implicit syntax and an algorithm for reconstruction, which is complete under some mild assumptions on the structure of types. We then illustrate the expressive power of our language (called Rast) with a variety of examples, including normalization for the linear λ-calculus, balanced ternary arithmetic, binary counters and tries.