> It's like they can't step back from the problem and realise that they need to simplify to make it work better. Nope, just keep hammering more code/proofs against the problem and eventually you'll hit the goal.
There is nothing wrong with that approach if it accomplishes the goal faster, i.e. you can work at the speed of an AI.
> There is nothing wrong with that approach if it accomplishes the goal faster, i.e. you can work at the speed of an AI.
Sure, and god knows I've done the same myself when under time pressure (so similar to an AI in RL training, just get the goal).
The part that's lacking (that humans are much better at right now) is the meta-cognition around this works, but it's far more complicated than it needs to be.
Potentially because LLMs have larger "working memory" than humans, they can avoid this for a while, but once it blows up the context they fail in much worse ways than a human would.
Hmmm, this feels like a good metaphor, I need to write about this at some point.
>I think it's not just to check - it's to interpret, simplify, apply taste, basically get these proofs into a form that humans can grok and build on.
Sure, but we are approaching a time at which we will have to answer a "why" here. I.e. anything beyond checking and validation becomes of mostly artistic value at some point. And there is nothing wrong with that.
IMHO it's groking that allows higher level metaphors and eventually more powerful theories to be built. If all you are doing is proving everything reachable by construction, you aren't really learning, as this process won't be drawn to the more compressed expressions by necessity but only as a "please" from the humans.
I’d say the artistic value is the main value in general —- if you know mathematicians they will often refer to a ‘beautiful’ proof, aesthetics is a critical part of math.
An early (easy to understand) proof that fits the bill for me is proof that the sqrt(2) is irrational: a very natural thing to think about —- for a unit square, what is the measure of the diagonal? And people were killed in ancient Greece over the proof, but it’s comprehensible with basic algebra.
Seems kinds dramatic. Legal holds are common in my industry, not really a big deal. Most of my senior colleagues have been deposed or testified. Stressful but shouldn't be scary unless you did something criminal
It's not scary. I received one of these letters for the DOJ vs Microsoft trial while working at Netscape and it was less scary opening it than the email from my cube mate titled "you won't believe it."
The lawyers told us ahead of time we'd be getting the letters. They told us what we needed to preserve and what we could comfortably trash. There was never any follow-up or specific requests for what I had on my machines. That was that.
The idea that getting a legal request is scary is silly. We were employees getting employee guidance from our employer on what to do at every step of the way. We weren't individuals fending for ourselves, wondering about getting something wrong, being taken in for questioning. We were doing what we always do, work hard and listen to the company lawyers if they have something to say.
I guess Alex Pretti and Renee Good didn't get much say in whether they should be killed by the US federal government.
Let me remind you that none of their killers wearing US federal agency uniforms have been charged. I thought their rights were covered by their constitution, that was a mistake.
Platformio is not simple by any means. That few .ini files generate a whole bunch of python, and this again relies on scons as build system.
That's a nice experience as long as you stay within predefined, simple abstractions that somebody else provided. But it is very much a scripted build system, you just don't see it for trivial cases.
For customizations, let alone a new platform, you will end up writing python scripts, and digging through the 200 pages documentation when things go wrong.
There is ongoing AI assisted work on this, and precisely the problematic gap in the theory (around Corollary 3.12).
As of now, a required step appears to definitely be missing, but it's not clear if this is a genuine / unrepairable defect.
https://zen.ac.jp/news/zmcpostevent0331e
https://github.com/lana-agents/iut
https://github.com/LANA-Project/genl