Intrisically-Typed Small-Step Semantics for a Functional Language with Session Types

This repository contains the Agda implementation. It compiles with Agda 2.5.4.2 and works with the standard library version 0.13. The development is structured in several modules and may be read in the following order.

• Typing.agda types, session types, equivalence, subtyping, duality, along with some lemmas
• Syntax.agda typed expressions (A normal form), some auxiliary lemmas
• Global.agda session contexts, splitting, inactive, (very technical) splitting lemmas
• Channel.agda valid channel references, several versions of vcr-match for different rendezvous
• Values.agda values, environments, and auxiliary lemmas
• Session.agda continuations, commands, interpreter for expressions run, lifting, thread pools, several matchWait functions
• Schedule.agda step function and interpreter for thread pools schedule, main entry point start

Furthermore, there are some auxiliary modules.

• DSyntax.agda syntax in direct style
• ANF.agda transformer from direct style DSyntax to Syntax
• Examples.agda several example programs exercising progressively difficult features
• Run.agda running a couple of examples (very inefficient)
• ProcessSyntax.agda typed syntax for process terms
• ProcessRun.agda definitions to run a process term + many auxiliary lemmas
• Async.agda definitions for asynchronous session types and operations thereon
• Aexample.agda examples using asynchronous channels