That’s not how LLMs work at the moment as far as I understand. LLM would not hallucinate any new logical transformation, rather just predict a transformation from its training data.

I understand that there can be many different combinations for all the logical transformations in the training data. But still the number of combinations are finite and I would assume that large number of those combinations would not result in any meaningful outcome.

Best outcome is that it just predicts a new pattern we haven’t discovered (LLM randomly connected the correct dots) one example is protein folding.