You are absolutely right that relying purely on statistical pattern matching is a losing battle when it comes to deterministic correctness. A pure LLM will always just be guessing the next token, which is exactly why RLHF fundamentally fails as a permanent security perimeter.
I can't spill the beans on the internal architecture to specifically answer your question about whether the reasoning process itself is grounded neurosymbolically or if the determinism is strictly enforced at the constraint level.
What I will say is that the constraints in Kairos are not a simple traditional output filter or a basic regex blacklist playing whack-a-mole with bad words after the fact
You make a totally fair point about edge cases that is the classic, fatal flaw of most constraint layers. My claim is that by structuring the execution physics the way I have, I've eradicated the semantic surface area where those edge cases usually live. there is certainly a possibility that I might have missed an edge case somewhere in the architecture that the constraints don't cover. However, the major architectural advantage of building a structural constraint layer rather than relying on alignment is agility. If a determined attacker does invent a perfect zero day, I can instantly hotfix the architecture on the fly. There is absolutely no model retraining, fine tuning, or probabilistic hoping required to patch a vulnerability.
If someone finds a hole, I plug it. Immediately