Here is another example using GADTs:

https://groups.google.com/forum/#!msg/ats-lang-users/tfEnAR2vIOA/0LyuBqMaBAAJ;context-place=topic/ats-lang-users/MK-VrrpthCU


On Friday, January 12, 2018 at 5:14:15 PM UTC-5, gmhwxi wrote:
>
> For the GADT part, please see
>
> https://gist.github.com/doublec/a3cc8f3431cabe9a319c8e7ba27e7890
>
> The printf stuff is supported in ATS1. If parsing the format string is not
> of the concern, then you can readily do it following the above GADT 
> example.
>
> I used to use the name GRDT for GADT. Please see:
>
> http://www.ats-lang.org/Papers.html#GRDT-popl2003
>
> On Friday, January 12, 2018 at 4:50:35 PM UTC-5, Max Hayden Chiz wrote:
>>
>> I found out about ATS through wikipedia when I was trying to learn about 
>> dependent typing and looking for dependently typed programming languages to 
>> try.
>>
>> I read the documentation and now I'm trying to do various things to 
>> familiarize myself with the language. That said, there are a lot of new 
>> concepts and the language isn't exactly ergonomic, so I'm having a hard 
>> time of it. But I really like the ideas and want to be more familiar with 
>> them so I'll stick with it. If anyone has advice for speeding up my 
>> learning of the language and the standard libraries, I'd appreciate the 
>> pointers.
>>
>> Right now there are two things I haven't figured out how to do in ATS.
>>
>> 1) How do you do the equivalent of OCaml's GADTs? The website mentions 
>> that this is doable, but I don't see how. Can someone provide me with an 
>> example?
>>
>> 2) In Brady's Idris book he shows how you can use dependent typing to 
>> make a type-safe printf function. It works like this:
>>
>> toFormat turns a String into a "Format" datatype. A type-level function, 
>> "PrintfType" turns a Format into a Type. And a Printf helper function takes 
>> an argument called "fmt" which is a Format and returns a "PrintfType fmt" 
>> type which is a (closure) function that takes the right number and types of 
>> inputs and returns a string.
>>
>> So printf "%c %f" is of type "Char -> Double -> String"
>>
>> Is there a way to do something like this in ATS or does the separation of 
>> statics and dynamics mean that this doesn't work in ATS? (Or is there some 
>> other limitation in the language that prevents this in practice but not in 
>> principle?) Even if you can't do it at the level of dynamic printf strings, 
>> could you do it at the static level so that as long as the format string 
>> was compiled into the code, the type checker would be able to verify 
>> correctness?
>>
>> Thanks for any help you can provide.
>>
>

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