A Tutorial Implementation of a Dependently Typed Lambda Calculus Andres Löh, Conor McBride and Wouter Swierstra We present the type rules for a dependently-typed core calculus together with a straightforward implementation in Haskell. We explicitly highlight the changes necessary to shift from a simply-typed lambda calculus to the dependently-typed lambda calculus. We also describe how to extend our core language with data types and write several small example programs. The paper is accompanied by an executable interpreter and example code that allows immediate experimentation with the system we describe. Download Draft Paper (submitted to FI) Haskell source code (executable Haskell file containing all the code from the paper plus the interpreter; automatically generated from the paper sources) prelude.lp (prelude for the LambdaPi interpreter, containing several example programs) Instructions (how to get started with the LambdaPi interpreter)
This article is part three in a series on introductory Haskell programming. In the first article, we wrote a small program to recursively scan file-system directories and print their contents as ASCII-art trees. In the second article, we refactored the program to make its logic more reusable by separating the directory-scanning logic from the tree-printing logic. In this article, we will address a shortcoming of the refactored version: It must scan directory hierarchies completely before printing their trees, i.e., it must scan and then print, when doing both simultaneously is both more efficient and more user friendly. Recall from the previous article that our directory-printing program is factored into three pieces of logic: