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Languages from "Types and Programming Languages" implemented in Haskell.

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TaPL-Haskell

TaPL-Haskell is an implementation of the various programming languages and type systems studied throughout the book Types and Programming Languages by Benjamin C. Pierce in Haskell.

Every language implementation will be completed by a parser and a REPL (Read-Eval-Print-Loop) to toy with the given language.

At the moment I've implemented:

  • the simplest language, called Arith because it only supports a handful of arithmetic operations;
  • the pure untyped lambda calculus, called Untyped;
  • the full untyped lambda calculus, called FullUntyped;
  • a typed implementation of the Arith language, called TyArith;
  • a typed implementation of the Simply Typed Lambda Calculus, called SimplyTyped.

Installation and usage

To try out the interpreters, first of all install stack from the package manager of your distribution (if you're on Windows you're on your own). For example if you're on Arch/Manjaro I suggest you should install stack-static from the AUR with any AUR helper (I'm using yay) to avoid the dynamic-linking-hell.

Then clone this repository into your computer and move into the directory. To use a particular language you first need to build the stack project, so issue the commands

stack update
stack build

At that point you can use the REPL of one of the languages by doing

stack exec <executable-name>

(The name of the executables are in the table below.)

To open the documentation for the given language you can use the command

stack haddock --open <executable-name>

More details inside each folder!

Implemented languages

The following table summarises the implemented languages, the executable names, the TaPL chapter in which the implementation is described and which features the language does or does not implement.

Language name Executable name TaPL chapter Nats Bools Functions Types
Arith arith 4
Untyped untyped 7
FullUntyped full-untyped 4 + 7
TyArith typed-arith 8
SimplyTyped simply-typed 10

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