I like "stabilization". I've also been exerting to incremental constructions as "scaffolding", from ethics. Both of these seem to describe parts of what's going on when a model "talks it out".

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I think scaffolding is a better term for LLMs because stabilization happens over time and eventually becomes a black box—something fixed and unquestioned. Scaffolding, on the other hand, is a step-by-step process where each part builds on the last. LLMs don’t produce fixed truths; they refine responses based on input, making scaffolding a better way to describe how they "think" in real time.