The claim

Fix an interface: the agent’s actions, the environment’s observations, and a horizon T. Let agent A maintain an explicit predictive model of its environment and act on it; its policy, marginalized over its internal state, is a kernel π_A(a | h) from histories to actions. Let agent B hold no model, only the table π_B(a | h) = π_A(a | h) for every history h of length below T. Then for any environment the probability of every interaction history h₀:T is the same for A and B, by the chain rule, since each step’s action law and the environment’s response law are the same. No experiment confined to that interface and horizon can tell them apart (A20 §1).

So competence on the interface is not sufficient to establish that a world model is present, or to identify one. That is not to say it is no evidence: under relevant priors and resource assumptions, competence can still favour a model-based architecture, as the compression point below says. “World model” ascribes an organization that explains the behaviour, as “the self” ascribes an owner to it (CLAIM-355). That is the owner’s U20 point. Brooks’s robots are the standing example that competent action can run on the world as “its own best model” (THEORY-689).

Two things must be kept apart:

policy identifies predictive structure ⇏ a particular internal component realizes it.

Richens et al.’s result belongs on the left (CLAIM-513). Mechanistic identification belongs on the right. The evidence for each differs.

  • Compression. A table grows with the number of histories, and a model can be exponentially smaller. Where resources are bounded, as in every physical agent, matched competence under a resource bound can favour a model-based explanation (THEORY-624 casts this as model comparison relative to a prior). It favours that explanation over a particular table. It does not identify the architecture: many compact controllers are not explicit generative world models.
  • Generalization beyond what the implementation was built to cover. A model can serve new objectives or new horizons without relearning, and a table cannot go beyond its domain. This too supports comparing architectures, and no more. A table whose domain already includes the goals generalizes across them, so generalization within the covered family does not discriminate.
  • Evidence that discriminates implementations. Establishing an internal mechanism needs observations that candidate implementations, matched in behaviour, predict differently. Targeted interventions on internals are the main source: alter a component and find the behaviour change as a predictive model’s would, and not as the rivals’ would. Matched trajectories conceal differences that intervention exposes (CLAIM-414).

What it does not say

  • That no agent has a world model. Some do, and an intervention can show it.
  • That the table encodes nothing. Functionally, B’s table determines every prediction A’s model would make that the interface can reveal. Whether that counts as “containing” a model is the question Richens et al. (LIT-1891) answer yes, for goal-conditioned agents competent across a family of composite goals. On that functional reading their theorem holds and is filed as the counter CLAIM-513. On the explicit-component reading, the claim stands.
  • That causal model, wanting and efficacy go together. They are separable (CLAIM-447); this claim is about the first only.

Note of 2026-11-01: a precedent in cognitive modelling

Bechtel and Abrahamsen (LIT-1936, NOTE-1492, THEORY-1290) make this claim’s methodological point about cognitive models in general. Such models are proposed de novo and checked only by fit, and “Empirical evidence can rule out specific models, but usually cannot decide between competing architectures” (p. 332). Their example is the past-tense debate, “irresolvable” without constraint from identified parts (p. 330). Their footnote 5 (p. 329) bears on the claim’s two readings of “contains a model”. A model whose variables track a mechanism describes it and does not perform its operations. A system whose behaviour a predictive model describes need not contain a component that performs prediction. Their remedy is anchoring variables to parts found by experiment. That is the claim’s “evidence that discriminates candidate implementations”.

No status, title or warrant changes.