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98 lines
3.6 KiB
Markdown
98 lines
3.6 KiB
Markdown
<div align="center">
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![banner]
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[![crates.io][crates.io-badge]][crates.io]
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[![discord.invite][discord.badge]][discord.invite]
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![build.badge]
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**Kind** is a **pure functional programming language** and **proof assistant**.
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[Getting started](#getting-started) •
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[Examples](#examples) •
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[Installation](#installation)
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</div>
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# Getting started
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It is a complete rewrite of [Kind1](https://github.com/HigherOrderCO/Kind-Legacy), based on
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[HVM](https://github.com/HigherOrderCO/HVM), a **lazy**, **non-garbage-collected** and **massively parallel** virtual
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machine. In [our benchmarks](https://github.com/HigherOrderCO/Functional-Benchmarks), its type-checker outperforms every
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alternative proof assistant by a far margin, and its programs can offer exponential speedups over Haskell's GHC. Kind2
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unleashes the [inherent parallelism of the Lambda
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Calculus](https://github.com/VictorTaelin/Interaction-Calculus) to become the ultimate programming language of
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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
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// Applies a function to every element of a list
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Map <a> <b> (list: List a) (f: a -> b) : List b
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Map a b Nil f = Nil
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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
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// 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
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BlackFridayTheorem Nat.zero = Equal.refl
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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
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---------- | ------------------------- | --------------------------------------------------------------
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Check | `kind2 check file.kind2` | Checks all definitions.
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Eval | `kind2 eval file.kind2` | Runs using the type-checker's evaluator.
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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.
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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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---
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- If you need support related to Kind, email [support.kind@higherorderco.com](mailto:support.kind@higherorderco.com)
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- For Feedbacks, email [kind@higherorderco.com](mailto:kind@higherorderco.com)
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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
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[crates.io-badge]: https://img.shields.io/crates/v/kind2?style=flat-square
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[crates.io]: https://crates.io/crates/zoxide
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[discord.badge]: https://img.shields.io/discord/912426566838013994?style=flat-square
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[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
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