> The internal model of a LLM is statistical text. Which is linear and fixed. Not great other than generating text similar to what was ingested.

The internal model of a CPU is linear and fixed. Yet, a CPU can still generate an output which is very different from the input. It is not a simple lookup table, instead it executes complex algorithms.

An LLM has large amounts of input processing power. It has a large internal state. It executes "cycle by cycle", processing the inputs and internal state to generate output data and a new internal state.

So why shouldn't LLMs be capable of executing complex algorithms?

It probably can, but how will those algorithms be created? And the representation of both input and output. If it’s text, the most efficient way is to construct a formal system. Or a statistical model if ambiguous and incorrect result are ok in the grand scheme of things.

The issue is always inout consumption, and output correctness. In a CPU, we take great care with data representation and protocol definition, then we do formal verification on the algorithms, and we can be pretty sure that the output are correct. So the issue is that the internal model (for a given task) of LLMs are not consistent enough and the referential window (keeping track of each item in the system) is always too small.