genType VS Idris2

I don't really use ts-belt to be certain, but by looking at the source, it seems that it's using genType, which can generate TS types from ReScript values, and that makes interop work really well.

They discuss this in their docs.

https://rescript-lang.org/docs/manual/latest/introduction#di...

Seems like a type system for Javascript, built with a differing set of opinions than Typescript.

Looks like they also offer some form of TS interop:

https://rescript-lang.org/docs/gentype/latest/introduction

TS Belt has been built with ReScript (and its Belt stdlib). ReScript generates highly performant JavaScript code, and with genType it also automatically generates TypeScript types. Moreover, I've added a few codemods to the building process to provide even more code optimizations and cleaner TypeScript signatures.

To interoperate with TypeScript with proper type information you’ll use third-party genType. Add it as a devDependency and annotate the module export you want to generate with @genType (in previous versions you’d surround annotations with square brackets).

Have you looked into Idris2 at all. While looking into these theorum provers, it always felt like they had an impedance mismatch with normal programming.

Idris2 portends to a general purpose language that also has a more advanced type system for the theorum proving.

https://github.com/idris-lang/Idris2

The original paper also does plain STLC first in section 2, and then adds dependent types in section 3. (And finally it adds the naturals in section 4.)

In the Idris2 github repository, Guillaume Allais goes a step further and shows a well-named version. There the types of terms and values are indexed by the list of names in the environment and the compiler checks that the manipulation of deBruin levels and indices is correct:

https://github.com/idris-lang/Idris2/blob/main/libs/papers/L...

Most of the proof assistants out there: Lean, Coq, Dafny, Isabelle, F*, Idris 2, and Agda. And the main concepts are dependent types, Homotopy Type Theory AKA HoTT, and Category Theory. Warning: HoTT and Category Theory are really dense, you're going to really need to research them.

Idris2 has a great syntax for this, see e.g. node018:

I asked because it just baffles me any time I see a dependently typed language using unary numbers. I think to myself, "are these people even educated? Do they know about number systems?" I mean, cavemen were the last group using unary number system as their mainstay, and that was during the Paleolithic. Then they have issues open like this when they discuss optimizing those damn unaries. But this shouldn't even have been a problem for anyone even remotely related to programming! It's giving a terrible impression of dependently-typed languages. Getting rid of those should be the first step of popularizing them.

addOne : Int -> EitherT String IO Int addOne x = pure $ x + 1 add : Int -> Int -> EitherT String IO Int add x y = pure $ x + y main : IO () main = do exportFn `{add} the (IO ()) $ exportFn `{addOne} -- `the (IO ())` is needed due to issue https://github.com/idris-lang/Idris2/issues/2851

The idea of world state is an attraction of the state that side effects change. I got the idea from Idris internals: https://github.com/idris-lang/Idris2/blob/main/libs/prelude/PrimIO.idr