> hallucination is defined as inconsistencies between a computable LLM and a computable ground truth function. With this definition, you can trivially prove the titular sentence - "hallucination is inevitable" - is untrue. Let your LLM have a fixed input context length of one byte. Continue training the LLM until such a time as it replies to the input "A" with "yes" and all other inputs with "no". Define your computa…
This isn’t induction. You’ve only done the base case, not the induction hypothesis or induction step. Maybe you’ve done those steps in your head but that’s not really a trivial proof as you claim.