> assuming you get to do gradient descent AND the context is fixed+known AND you have unlimited compute? sure; is it a realistic setup?

Clearly nothing so complicated is required, given the prompt in the very article you are commenting on.

> the exact same argument applies to any (sufficiently complex) piece of software, with exactly the same conclusion

Yeah and the halting problem is hard too, but there's levels to this shit.

> also technically I'd argue that we do know the input/output space (set of all token strings of length <= N/token), and know the mapping (the model is a ~pure function in terms of the api, which is about as good of a representation as it gets for a non-invertible mapping); at least it's much closer than with something like linux

I would argue we don't even know the desired output for most inputs for an LLM and they certainly aren't trained on every possible input state. But I think Linux and LLMs are sufficient different that they aren't really directly comparable like this. After all, Linux is not a pure function and has lots of side effects.

But just to establish an order of magnitude: the input space for ChatGPT 3.0 was 2,048 tokens long. There were 50,257 tokens in the vocabulary. The input space thus has 50,257^(2048) unique states, which is approximately equal to 1.12 × 10^9628. That's an awful big input space for a single function.

> Ok in the SQL example imagine if you had a SQL engine that issued commands encoded in ASCII in the high byte of 16 bit characters, and all non-command data as ASCII in the low byte of 16 bit characters.

> If user input can only be in the low byte, it cannot influence the command structure.

> A similar thing could be done with embeddings, a provenance embedding that cannot be set by user input could serve a similar role.

A similar thing cannot be done with embeddings. You are lacking a fundamental understanding of the issue. The only reason that you can separate user and command data in SQL queries is because the command data is used to command a deterministic machine which then uses the user data as inputs to carefully constructed operations like comparisons.

This is not how LLMs operate. There is no deterministic machinery executing a system prompt against user data, there is only a single array of tensors which get fed into a giant block of linear algebra and multiplied together.

> You can train a model to not mix things, many models are trained to separate things.

That is not applicable to this, because segmentation models are not the same thing as LLMs. They have different architectures.

> A neural net with X and Y outputs for a position does not just occasionally decide to flip the outputs.

Not even close to the same thing, to the point where this is irrelevant.

Feel free to prove me wrong, github links welcome below.

> This argument makes no sense. Data coming to your network adapter is also "stitched together and fed".

Try reading it from start to end, it will make more sense if you think about it.

By the way, if your OS is taking untrusted data from the network, inserting it into an executable code page, and loading it into the CPU then you have some SERIOUS security issues.