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# agda2hs

Agda2hs is a tool for producing verified and readable Haskell code by
extracting it from a (lightly annotated) Agda program. For example,
the following Agda program encodes well-formed binary search trees:

```agda
open import Haskell.Prelude

_≤_ : {{Ord a}} → a → a → Set
x ≤ y = (x <= y) ≡ True

data BST (a : Set) {{@0 _ : Ord a}} (@0 lower upper : a) : Set where
  Leaf : (@0 pf : lower ≤ upper) → BST a lower upper
  Node : (x : a) (l : BST a lower x) (r : BST a x upper) → BST a lower upper

{-# COMPILE AGDA2HS BST #-}
```

agda2hs translates this to the following Haskell datatype:

```haskell
module BST where

data BST a = Leaf
           | Node a (BST a) (BST a)
```

## Objective

The goal of this project is *not* to translate arbitrary Agda code to Haskell.
Rather it is to carve out a common sublanguage between Agda and Haskell,
with a straightforward translation from the Agda side to the Haskell side.
This lets you write your program in the Agda fragment, using full Agda
to prove properties about it, and then translate it to nice looking readable
Haskell code that you can show your Haskell colleagues without shame.

## Documentation

Documentation can be viewed at https://agda.github.io/agda2hs. You can also find
examples in the `test` directory of this repository, in particular the file
[Test.agda](https://github.com/agda/agda2hs/blob/master/test/Test.agda). The
documentation is a work in progress, so if you have been using agda2hs and want
to contribute in some way, adding documentation or examples would be very
welcome.

agda2hs was introduced in the Haskell Symposium '22 paper [Reasonable Agda is
Correct Haskell: Writing Verified Haskell using
agda2hs](https://jesper.sikanda.be/files/reasonable-agda-is-correct-haskell.pdf).

## Future work

Currently agda2hs is under active development, please take a look at
the [issue tracker](https://github.com/agda/agda2hs/issues). If you
have a suggestion for a new feature that is not yet on the issue
tracker, you are welcome to create a new issue or a PR. Feature
requests should be of the form "Add support for Haskell feature X",
*not* "Add support for Agda feature Y" (see "Objective" above). If you
want to compile arbitrary Agda code to Haskell, you are advised to use
Agda's built-in GHC backend instead.