mirror of
https://github.com/HigherOrderCO/Kind.git
synced 2024-08-16 16:10:27 +03:00
106 lines
2.5 KiB
Markdown
106 lines
2.5 KiB
Markdown
# Kind2: a parallel proof & programming language
|
|
|
|
Kind2 is a general-purpose programming language made from scratch to harness
|
|
[HVM](https://github.com/HigherOrderCO/HVM)'s **massive parallelism** and
|
|
computational advantages (no garbage collection, optimal β-reduction). Its type
|
|
system is a minimal core based on the Calculus of Constructions, making it
|
|
inherently secure. Essentially, Kind2 aims to be:
|
|
|
|
- As *friendly* as **Python**
|
|
|
|
- As *efficient* as **Rust**
|
|
|
|
- As *high-level* as **Haskell**
|
|
|
|
- As *parallel* as **CUDA**
|
|
|
|
- As *formal* as **Lean**
|
|
|
|
And it seeks to accomplish that goal by relying on the solid foundations of [Interaction Combinators](https://www.semanticscholar.org/paper/Interaction-Combinators-Lafont/6cfe09aa6e5da6ce98077b7a048cb1badd78cc76).
|
|
|
|
> NOTE: THIS REPOSITORY IS A WIP. OFFICIAL RELEASE COMING SOON!
|
|
|
|
## Usage
|
|
|
|
1. Install [Rust](https://www.rust-lang.org/) and (optionally) [Haskell](https://www.haskell.org/) in your system.
|
|
|
|
2. Clone this repository and install it:
|
|
|
|
```
|
|
git clone https://github.com/HigherOrderCO/Kind2
|
|
cargo install --path .
|
|
```
|
|
|
|
3. Type-check a Kind2 definition:
|
|
|
|
```
|
|
kind2 check name_here
|
|
```
|
|
|
|
4. Test it with the interpreter:
|
|
|
|
```
|
|
kind2 run name
|
|
```
|
|
|
|
5. Compile and run in parallel, powered by HVM!
|
|
|
|
```
|
|
kind2 compile name
|
|
./name
|
|
```
|
|
|
|
## Syntax
|
|
|
|
Kind2's syntax aims to be as friendly as Python's, while still exposing the
|
|
high-level functional idioms that result in fast, parallel HVM binaries.
|
|
Function application (`(f x y z ...)`) follows a Lisp-like style and
|
|
pattern-matching `(match x { ctr: .. })` feels like Haskell; but control-flow is
|
|
more Python-like. In short, it can be seen as *"Haskell inside, Python
|
|
outside"*: a friendly syntax on top of a powerful functional core.
|
|
|
|
### Functions:
|
|
|
|
```javascript
|
|
// The Fibonacci function
|
|
fib (n: U60) : U60 =
|
|
switch n {
|
|
0: 0
|
|
1: 1
|
|
_: (+ (fib (- n 1)) (fib (- n 2)))
|
|
}
|
|
```
|
|
|
|
### Datatypes (ADTs):
|
|
|
|
```javascript
|
|
// Polymorphic Lists
|
|
data List T
|
|
| cons (head: T) (tail: (List T))
|
|
| nil
|
|
|
|
// Applies a function to all elements of a list
|
|
map <A> <B> (xs: (List A)) (f: A -> B) : (List B) =
|
|
fold xs {
|
|
++: (f xs.head) ++ xs.tail
|
|
[]: []
|
|
}
|
|
```
|
|
|
|
### Theorems and Proofs:
|
|
|
|
```javascript
|
|
use Nat/{succ,zero,half,double}
|
|
|
|
// Proof that `∀n. n*2/2 = n`
|
|
bft (n: Nat) : (half (double n)) == n =
|
|
match n {
|
|
succ: (Equal/apply succ (bft n.pred))
|
|
zero: {=}
|
|
}
|
|
```
|
|
|
|
### More Examples:
|
|
|
|
There are countless examples on the [`Book/`](book) directory. Check it!
|