Monads and "do" notation in the Wolfram Language

Abstract: This paper describes a categorical interpretation of the Wolfram Language and introduces a simple implementation of monadic types and the "do" notation. The monadic style of programming combined with the many built in functions of the Wolfram Language has potential to be a powerful tool in writing Wolfram Language code. Additionally, using pure functions and the "do" notation can result in programs that are very predictable and easy to parallelize.