The core argument in this paper it seems to me from scanning it is that because P != NP therefore LLMs will hallucinate answers to NP-complete problems. I think this is a clever point and an interesting philosophical question (about math, computer science, and language), but I think people are mostly trying to apply this using our commonsense notions of "LLM hallucination" rather than the formal notion they use in th…
The only way to reduce hallucinations in both humans and LLMs is to increase their general intelligence and their knowledge of the world.
Making LLMs more knowledgeable is great (more data, bigger models, yay!), but there are other avenues of plausible attack as well. Enabling LLMs to know when they have veered off distribution might work. That is, the LLM doesn't have to know more of the world, it just has to know what it knows and stay there. A person who says "I don't know" is a lot more valuable than an overzealous one who spouts nonsense confidently. Encouraging an LLM to say that there is a disagreement about a topic rather than picking one lane is also a valuable way forward.