What you're describing is a language that can effectively take a high-level design doc (limited to a formal language representing a pseudo-English-subset) and compile to almost arbitrarily complex, formally verifiable systems. I say systems because you're also implying these could essentially orchestrate distributed systems.
Which, if that were really possible, would be pretty good evidence of AGI. Or, at least, the end of 6-7 figure software engineer salaries. Conversely, I think it's a pipe dream. Writing a compiler that actually works well across such a broad range of hugely complex behaviors would itself be absurdly complex.
You don't really need compilers anymore. LLM's can write programs over any AST and provide an equivalence proof provided you have good semantics for the source and target.
Also you would probably want to cache the compiler's output in git because running that compiler would take a long time, and you probably want the compiler's output to still be inspectable to human inspection. In the end that compiled artifact would look a lot like source code.
I think Rust's success in the AI space shows how useful formal proofs are, as Rust provides something very similar to that. Both because it helps with the understanding of LLMs, as well as with trusting the LLMs are not violating any basic properties (like please no nasal demons if the user sends a buffer larger than the allowed amount).
Check Inform7 for text adevntures. No AGI nor AI needed. On Inform6, it's a dumb simple OOP language where the structure it's almost self-evident. Classes, in-game objects with real-life attributes (enterable, a container for other objects, non-movable/pickable scenery and so on).
PD: inform7 can run on an RaspPi B+ or 25 year old PC's like nothing, and i6 down to 30 year old ones. The ZMachine adventures themselves, from any 16 bit computer and up.
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AGI will accelerate it, but way before agentic development I learned this was the future when I worked at Amazon. I no longer have access to the internal talks about it (amazing to watch) but here is a public link worth reading:
https://aws.amazon.com/blogs/storage/how-automated-reasoning...