[greyface-]

GP was asking for a guarantee against emitting false decidable statements. We agree that this is impossible. You can slap layers upon layers of heuristics on top, yes, but you will not eliminate all hallucinations because Church and Turing proved it fundamentally impossible nearly a century ago.

[perching_aix]

I might be slow today but I'm pretty sure that the Church-Turing thesis is about undecidable statements, not false decidable statements. If a decidable statement is false... then that's it, it is just false, that's how we can decide so in the first place.