Effect and session type systems are two expressive behavioural type systems. The former is usually developed in the context of the lambda-calculus and its variants, the latter for the π-calculus. In this paper we explore their relative expressive power. Firstly, we give an embedding from PCF, augmented with a parameterised effect system, into a session-typed π-calculus (session calculus), showing that session types are powerful enough to express effects. Secondly, we give a reverse embedding, from the session calculus back into PCF, by instantiating PCF with concurrency primitives and its effect system with a session-like effect algebra; effect systems are powerful enough to express sessions. The embedding of session types into an effect system is leveraged to give a new implementation of session types in Haskell, via an effect system encoding. The correctness of this implementation follows from the second embedding result. We also discuss various extensions to our embeddings.
Thu 21 Jan Times are displayed in time zone: (GMT-05:00) Guadalajara, Mexico City, Monterrey change
|16:30 - 16:55|
|Pre-print Media Attached|
|16:55 - 17:20|
Limin JiaCarnegie Mellon University, Hannah GommerstadtCarnegie Mellon University, Frank PfenningCarnegie Mellon UniversityMedia Attached File Attached
|17:20 - 17:45|