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Consequently, standard uniform guarantees fail to distinguish between the understanding of critical bottlenecks and irrelevant failures. We first formalize this limitation by proving that general agents are not universal, rendering standard worst-case analysis uninformative. To overcome this, we introduce structural certification, a transition-local framework that maps bounded goal-conditioned performance to entry-wise guarantees on the agent's internal world model. Our main contribution is constructive. We provide algorithms that filter specific transitions using deep compositional goals and prove that a general agent on these goals has a structural world model with a $\\mathcal{O}(1/n) + \\mathcal{O}(\\delta)$ error bound. Conversely, this bound is tight in the small-$\\delta$ regime, whose existence is ","title":"World Models in Pieces: Structural Certification for General Agents","url":"https://arxiv.org/abs/2606.24842","vendor":"arxiv_cs_ai"},"summary":"arXiv:2606.24842v1 Announce Type: new \nAbstract: In the big-world regime, agents cannot be universally capable and their ability is inevitably specialized across a world model in pieces. Consequently, standard uniform guarantees fail to distinguish between the understanding of critical bottlenecks and irrelevant failures. We first formalize this limitation by proving that general agents are not universal, rendering standard worst-case analysis uninformative. To overcome this, we introduce structural certification, a transition-local framework that maps bounded goal-conditioned performance to entry-wise guarantees on the agent's internal world model. Our main contribution is constructive. We provide algorithms that filter specific transitions using deep compositional goals and prove that a general agent on these goals has a structural world model with a $\\mathcal{O}(1/n) + \\mathcal{O}(\\delta)$ error bound. 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