https://github.com/lazear/types-and-programming-languages

Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!
https://github.com/lazear/types-and-programming-languages

lambda-calculus programming-languages tapl type-theory types types-and-programming-languages

Last synced: 6 days ago
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Exercises from Benjamin Pierce's "Types and Programming Languages" textbook + extras!

• Host: GitHub
• URL: https://github.com/lazear/types-and-programming-languages
• Owner: lazear
• License: mit
• Created: 2019-04-20T01:17:46.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2020-07-26T23:17:31.000Z (over 4 years ago)
• Last Synced: 2024-05-22T21:35:21.591Z (6 months ago)
• Topics: lambda-calculus, programming-languages, tapl, type-theory, types, types-and-programming-languages
• Language: Rust
• Homepage:
• Size: 567 KB
• Stars: 182
• Watchers: 3
• Forks: 8
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Awesome Lists containing this project

• awesome-rust-formalized-reasoning - types-and-programming-languages - Exercises from Benjamin Pierce's TAPL textbook + extras! (Books code / Libraries)

README

        
# types-and-programming-languages

![](https://github.com/lazear/types-and-programming-languages/workflows/Rust/badge.svg)

Several Rust implementations of exercises from Benjamin Pierce's "Types and Programming Languages" are organized into different folders, as described below:

- `arith` is an implementation of the untyped lambda calculus extended with simple numeric operations

- `lambda` is an implementation of the untyped lambda calculus as presented in chapter 5, 6, and 7.

- `typedarith` is the `arith` project extended with simple types: `Nat` and `Bool`

- `stlc` is an implementation of the simply typed lambda calculus, as discussed in chapters 9 and 10 of TAPL. This simply typed calculus has the types, `Unit`, `Nat`, `Bool`, `T -> T` (arrow), and `Record` types.

- `recon` contains several implementations of Hindley-Milner based type reconstruction from the untyped lambda calculus to System F, with let-polymorphism. Both Algorithm W (the more common) and Algorithm J (the more efficient) are presented. For Alg. W, both a naive equality constraint solver, and a faster union-find (with path compression) solver are provided. Algorithm J makes use shared mutable references to promote type sharing instead.

- `system_f` contains a parser, typechecker, and evaluator for the simply typed lambda calculus with parametric polymorphism (System F). The implementation of System F is the most complete so far, and I've tried to write a parser, typechecker and diagnostic system that can given meaningful messages

- `system_fw` contains a parser for a high-level, Standard ML like source language that is desugared into an HIR, and then System F-omega. This extends `system_f` with type operators and higher-kinded types. This is where most of the ongoing work is located, as I'd like to make this the basis of a toy (but powerful, and useable) programming language. Ideally we will have some form of bidirectional type inference. Work on this has accidentally turned into a full fledged [SML compiler](https://github.com/SomewhatML/sml-compiler), so it's likely that I will roll back the work on the system_fw project to just type checking

- `bidir` is is an implementation of the bidirectional typechecker from 'Complete and Easy Bidirectional Typechecking', extended with booleans, product, and sum types. I make no claims on the correctness of the implementation for the extended features not present in the paper.

- `dependent` is WIP, implementing a simple, dependently typed lambda calculus as discussed in ATAPL.