I'm not sure, but it would be an interesting exercise. I know that other languages have produced their interpreters or compilers in their language. For example, there is a Python interpreter written in Python. There are Basic interpreters written in Basic. There's a Rust compiler written in Rust. And of course, there are C compilers written in C. But I guess, the whole point is to prove that it CAN BE done, and it would be an interesting exercise. And I think, if we look at languages, the more popular a language is, the more likely that there will be many such seemingly "pointless" exercises written in that language, because people want to spend time coding in that language. So, they'll write all sorts of things, even things that don't make any sense. So, this would be one of those projects.
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