[ulbu]

Does it have an understanding of the strict rules that govern the problem and that it needs to produce a result that is in total accordance to them? (In accordance which is not 100%, but boolean) i.e., can it apply a function over a sentence?

I don’t know, that’s why I ask.

[ThunderSizzle]

The answer is sometimes. Typically it'll forget rules you've given it by the time it might be useful because of the memory limit of LLMs. Either way, you basically need to know it's hallucinating to you so you can keep applying more rules.