AI achieves silver-medal standard solving International Mathematical 
Olympiad problems - Google DeepMind 
<https://deepmind.google/discover/blog/ai-solves-imo-problems-at-silver-medal-level/>

Recently, Google had announced the result that their AI model, AlphaProof 
and AlphaGeometry can silver medal in IMO problems. Their system is hybrid 
of symbolic models, and uses proof assistant Lean as backend, which 
guarantees that the proof can be verified automatically. 
ChatGPT had many problems that it can hallucinate the steps of proof, and 
keep human verifying their result, as well as understaing the steps, so 
expressing proof as formal proof statements is a gain.

I think that the research reinforces that solve or simplify, or integral is 
losing competition. Because a lot of them are written with heuristics that 
won't win with AI, and we also have concerns about code around them are 
getting messy.

I think that if we want to avoid the losing competition, and make AI 
systems work collaborative, symbolic computation should be focused to solve 
only a few 'formal' problems in 100% precision and speed. 

I already notice that there is research to connect Wu's method to 
AlphaGeometry
[2404.06405] Wu's Method can Boost Symbolic AI to Rival Silver Medalists 
and AlphaGeometry to Outperform Gold Medalists at IMO Geometry (arxiv.org) 
<https://arxiv.org/abs/2404.06405>
Although symbolic system would no longer competitive solution to general 
math problems, the 'formal' symbolic systems can still be valued. (I also 
hear that AlphaGeometry2 is using Wu's method, but I'm trying to verify the 
sources)

I also think that such advances in AI systems can raise concerns about 
software engineering careers, or educational system, which may be 
interesting for some readers in the forum.

For example, math exams can be pointless in the future, even to identify 
and train good science or engineers in the future, because trained AI 
models can beat IMO. I think that in AI age, the education should change, 
such that it is not bearing through boring and repetitive systems, which 
does not even reflect the capability of future engineers or scientists.

Also, I notice that software engineering is changing, because AI models can 
complete a lot of code, and precision is improving, or people are improving 
the skills of prompting. 
It also seems to be deprecating code sharing efforts for open source 
communities, because code can be generated rather than shared.

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