The programmer skill is how to abstract the specs from all the examples. And then to formalize it. Actual coding is merely translation. And only beginners tend to focus on that.
No. AI sucks at formal languages and implications.
Lossy decompression probably won’t ever be really good at this. If it’s missing from the data, then it won’t be there.
The AI math proofs were probably already out there in tiny pieces and nobody got all of the pieces together. That is valuable. It’s different from making a piece that is missing. And the AI will just hallucinate.