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95 lines
1.9 KiB
Markdown
95 lines
1.9 KiB
Markdown
Kind2
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=====
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Kind2 is a pure functional, lazy, non-garbage-collected, general-purpose,
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dependently typed programming language focusing on performance and usability. It
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features a blazingly fast type-checker based on **optimal
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[normalization-by-evaluation](https://en.wikipedia.org/wiki/Normalisation_by_evaluation)**. It can also
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compile programs to [HVM](https://github.com/kindelia/hvm) and [Kindelia](https://github.com/kindelia/kindelia),
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and can be used to prove and verify mathematical theorems.
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Example
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-------
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Kind2 functions can be defined using an equational notation that is highly
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inspired by Haskell, Idris and Agda:
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```c
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List.map <a: Type> <b: Type> (x: (List a)) (f: (x: a) b) : (List b)
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List.map a b (Nil t) f = (Nil b)
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List.map a b (Cons t x xs) f = (Cons b (f x) (List.map xs f))
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```
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But they can also be defined in a conventional notation that is highly inspired
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by Rust and TypeScript:
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```c
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// Note: syntax on development
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// Prints the double of many numbers
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Main : (IO (Result () String)) {
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ask limit = (IO.prompt "Enter limit:");
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for x in (List.range limit) {
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(IO.print "{} * 2 = {}" x (Nat.double x));
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}
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return (Ok ());
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}
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```
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Mathematical proofs are present as well:
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```c
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// For every number `a` and `b`, `a + b == b + a`
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Nat.commutes (a: Nat) (b: Nat) : (Nat.add a b) == (Nat.add b a)
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Nat.commutes Zero b = (Nat.comm.a b)
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Nat.commutes (Succ a) b =
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let e0 = (Equal.apply @x(Succ x) (Nat.commutes a b))
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let e1 = (Equal.mirror (Nat.commutes.b b a))
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(Equal.chain e0 e1)
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```
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For more examples, check the [Wikind](https://github.com/kindelia/wikind).
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Usage
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-----
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1. Install:
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```
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cargo install --path .
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```
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2. Check a Kind2 file:
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```
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kind2 check example.kind2
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```
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3. Eval the Main term:
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```
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kind2 eval example.kind2
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```
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4. Compile to HVM:
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```
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kind2 to-hvm example.kind2
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```
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5. Compile to Kindelia:
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```
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kind2 to-kdl example.kind2
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```
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Benchmarks
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----------
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### Type-Checker
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TODO
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### Runtime
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TODO
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