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![banner]
[![crates.io][crates.io-badge]][crates.io]
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**Kind** is a **pure functional programming language** and **proof assistant** .
[Getting started ](#getting-started ) •
[Examples ](#examples ) •
[Installation ](#installation )
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# Getting started
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It is a complete rewrite of [Kind1 ](https://github.com/kindelia/kind-legacy ), based on
[HVM ](https://github.com/kindelia/hvm ), a **lazy** , **non-garbage-collected** and **massively parallel** virtual
machine. In [our benchmarks ](https://github.com/kindelia/functional-benchmarks ), its type-checker outperforms every
alternative proof assistant by a far margin, and its programs can offer exponential speedups over Haskell's GHC. Kind2
unleashes the [inherent parallelism of the Lambda
Calculus](https://github.com/VictorTaelin/Symmetric-Interaction-Calculus) to become the ultimate programming language of
the next century.
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< div align = "center" > < b > Welcome to the inevitable parallel, functional future of computers! < / b > < / div >
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## Examples
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Pure functions are defined via equations, as in [Haskell ](https://www.haskell.org/ ):
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```javascript
// Applies a function to every element of a list
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Map < a > < b > (list: List a) (f: a -> b) : List b
Map a b Nil f = Nil
Map a b (Cons head tail) f = Cons (f head) (Map tail f)
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```
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Theorems can be proved inductively, as in [Agda ](https://wiki.portal.chalmers.se/agda/pmwiki.php ) and [Idris ](https://www.idris-lang.org/ ):
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```javascript
// Black Friday Theorem. Proof that, for every Nat n: n * 2 / 2 == n.
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BlackFridayTheorem (n: Nat) : Equal Nat (Nat.half (Nat.double n)) n
BlackFridayTheorem Nat.zero = Equal.refl
BlackFridayTheorem (Nat.succ n) = Equal.apply (x => Nat.succ x) (BlackFridayTheorem n)
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```
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For more examples, check the [Kindex ](https://github.com/HigherOrderCO/Kindex ).
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# Installation
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First, install [Rust ](https://www.rust-lang.org/tools/install ) first, then enter:
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```
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cargo +nightly install kind2
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```
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Then, use any of the commands below:
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Command | Usage | Note
---------- | ------------------------- | --------------------------------------------------------------
Check | `kind2 check file.kind2` | Checks all definitions.
Eval | `kind2 eval file.kind2` | Runs using the type-checker's evaluator.
Run | `kind2 run file.kind2` | Runs using HVM's evaluator, on Rust-mode.
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To-HVM | `kind2 to-hvm file.kind2` | Generates a [.hvm ](https://github.com/higherorderco/hvm ) file. Can then be compiled to a rust crate using HVM.
To-KDL | `kind2 to-kdl file.kind2` | Generates a [.kdl ](https://github.com/higherorderco/kindelia ) file. Can then be deployed to [Kindelia ](https://github.com/higherorderco/kindelia ).
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The rust crate can be generated via HVM:
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```
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kind2 to-hvm file.kind2 > file.hvm
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hvm compile file.hvm
```
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---
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- If you need support related to Kind, email [support.kind@kindelia.org ](mailto:support.kind@kindelia.org )
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- For Feedbacks, email [kind@kindelia.org ](mailto:kind@kindelia.org )
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- To ask questions and join our community, check our [Discord Server ](https://discord.gg/kindelia ).
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[banner]: ./img/banner.png
[crates.io-badge]: https://img.shields.io/crates/v/kind2?style=flat-square
[crates.io]: https://crates.io/crates/zoxide
[discord.badge]: https://img.shields.io/discord/912426566838013994?style=flat-square
[discord.invite]: https://discord.gg/kindelia
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[build.badge]: https://img.shields.io/github/actions/workflow/status/kindelia/kind/ci.yml?style=flat-square