Reach assessment
Type: kb/types/definition.md · Tags: foundations, computational-model, self-improving-systems
Reach assessment is the capability of a system's evaluation process to judge whether a candidate commitment's claimed reach — that the pattern it names holds beyond the evidence that produced it — is genuine, rather than adaptive fit dressed up as an explanation. This is a judgment about the content of a claim, not a check on its form. For example: a coding agent that retains "route prompts under 500 tokens to a cheaper model" after early tasks succeed has an adaptive-fit-shaped claim until something checks whether token count is actually why those tasks were easy, or just what they happened to share.
Reflectivity does not supply this for free. A reflective system can represent a commitment's stated applicability condition, read it, and rewrite it — rejecting or rescoping a prior commitment is a structural operation reflection makes available. None of that requires judging whether the commitment's stated boundary is honest. A process can mechanically compare a new case against a stated condition and act on the match — without ever assessing whether the underlying explanation captures an invariant, or is dressed-up curve-fitting that happened to generalize once. A boundary-matching process checks only whether the new prompt is under 500 tokens and swaps in the cheap model, and misapplies the commitment the first time a short prompt encodes a hard multi-step task — token count was never the mechanism, only something that happened to correlate with it in the cases that produced the commitment.
Scope
- Reach assessment operates on the content of a candidate commitment — its causal or explanatory structure — not on metadata about it. Checking that a new case satisfies a stated condition clause is boundary-matching, the discriminator memory formation already uses; reach assessment is what would be needed to judge whether that stated condition is itself trustworthy.
- What it would need to do is apply something like the four-part negative test — can a load-bearing premise be varied and the conclusion predictably change; does the claim reach into an untested domain; can it be criticized in a specific way; does it survive contact with observed fit — to a system's own candidate commitments, inside its own improvement loop, not to a human author's KB note. Applied to the routing commitment: does varying task complexity while holding length fixed change the outcome predictably; does the claim reach to prompt types not yet tried; can a specific failure case be named in advance; does it hold up against the tasks that actually produced it.
- Which route is available depends on the candidate commitment's representational form. In this KB's artifact vocabulary, reach assessment can be mediated by all three retained forms: prose artifacts need semantic judgment such as the first-principles reach test; symbolic artifacts can use explicit causal or proof obligations; distributed-parametric artifacts can use learned predictive world models. Mixed artifacts can compose those routes, but the route must match the form that actually carries the commitment.
- The symbolic route has two forms. Causal theories: a system has reach assessment for a proposed mechanism when its acceptance process tests that mechanism against interventions, counterfactuals, or cross-environment invariance, rather than merely fitting observed correlations. Proof, which can wrap the causal route when causal inference itself is axiomatized: where a commitment can be expressed as a typed claim, formally specified invariant, or target theorem, proof search can establish that it holds across its stated domain — the Gödel machine's proof-gated self-rewrite acceptance is the worked case. See Formal symbolic systems assess reach only through causal and proof obligations for the developed argument, mechanics, and source grounding.
- A learned predictive world model is the canonical distributed-parametric route: reach assessment means testing whether a learned predictor's action-conditioned predictions remain valid across the interventions or environment shifts a commitment claims to cover. See World models assess reach through action-conditioned prediction for the developed argument and LeCun/JEPA grounding.
- Where a commitment is still in prose — a natural-language explanation not yet reduced to a checkable formal claim — no comparable formal apparatus exists yet. There, reach assessment is observed only in LLM-mediated evaluation: an agent asked to judge whether a proposed lesson generalizes correctly appears able to do so with some reliability, and Commonplace has no theory for why. See Provenance and departures.
Exclusions
- Reach assessment is not reflectivity. Reflective system's five requirements — boundary, represented aspects, self-representation, processes, causal connection — are purely structural. A reflective system built entirely on exact- or fuzzy-string matching against a stated condition clause has every one of those five properties and no reach assessment at all.
- Reach assessment is not causal vocabulary. A retained sentence that uses words like "cause," "mechanism," or "intervention" has no reach assessment unless the system's evaluator can test, identify, or otherwise warrant the causal structure it is relying on.
- Reach assessment is not empirical testing alone. A test suite that passes on every case it checks establishes that a candidate holds on those cases, not that it holds beyond them — the reach question stays unanswered by passing tests. Observational causal discovery is the important exception only because the observations are interpreted through causal assumptions and discovery criteria, not because observation by itself contains causality. A proof oracle is a different matter: proving a claim within an axiomatized model does establish that it holds across the model's stated domain, a genuine, non-semantic route to reach assessment (see Scope) — but only as far as the axiomatization reaches, which is what warranted autonomy is bounded by.
- Reach assessment is not a learned world model by itself. A latent predictor has reach-assessment value only when its action-conditioned predictions are tested against the intervention or shift class at issue; otherwise it may be another adaptive fit artifact.
- Reach assessment is not confidence. A system reporting high confidence in a rescoped commitment is not evidence the rescoping was reach-assessed; confidence and correctness come apart exactly where reach assessment would matter most — a fluent, wrong generalization is the failure mode this capability exists to catch.
Misuse Cases
- Assuming any reflective pathway automatically has reach assessment because it can represent and rewrite a commitment's scope — the operation being available says nothing about whether it is exercised well.
- Treating a match between a stated condition clause and a new case as evidence that the underlying commitment has genuine reach — that is boundary-matching, which presupposes the stated boundary is honest rather than testing it.
- Treating a system as having reach assessment merely because it stores causal-shaped theories. The assessment enters through the causal learning or evaluation process: selecting mechanisms that survive the relevant intervention, counterfactual, or environment-shift tests.
- Treating a learned world model as having reach assessment merely because it predicts next states. The assessment enters when action-conditioned predictions are evaluated over the intended interventions or shifts.
- Treating observational causal discovery as assumption-free induction. It can infer causal theories from observations under discovery assumptions; it does not make causal reach available from raw correlations alone.
- Treating the Gödel machine as evidence that proof search can assess the reach of arbitrary prose explanations, or as evidence for causal discovery without causal axioms in the system. It supports the formal case: commitments expressible as target theorems under the machine's axioms.
- Citing this note to claim reach assessment is unique to LLMs. It is not: causal inference, do-calculus, and proof search are traditional, formal routes to reach assessment for symbolic claims, and predate LLMs by decades. What is genuinely unexplained is narrower — semantic judgment of a claim still in prose, where LLM-mediated evaluation is the only route currently observed.
Provenance and departures
This is Commonplace's own concept, without a single inherited definition to depart from, but its routes have different provenance.
The causal route — structural causal models, intervention semantics, do-calculus, invariant prediction, and causal discovery from observational or interventional data — is established science, not Commonplace's own. Commonplace's terminology only names the role that machinery plays when it evaluates whether a retained mechanism really reaches beyond its fitting cases.
The proof route is also external. The Gödel machine is the worked self-modification case already in this cluster, grounded in Schmidhuber's target-theorem construction rather than in Commonplace's vocabulary.
The learned-world-model route comes from predictive representation-learning work such as LeCun's JEPA line, where a latent predictor supports planning by anticipating how the world changes under candidate actions.
Commonplace's own gap is the prose route. The four-part negative test it builds on is adapted from Deutsch by first-principles-reasoning-selects-for-explanatory-reach-over.md, and the observation that stating a boundary is itself a judgment — not a mechanical derivation — is already made by abstract-an-experience-only-when-you-can-state-the-boundary.md. That leaves who or what can reliably make that judgment, for a claim still in prose, as an open problem: this note names the missing capability, it does not close the open problem, and why LLM-mediated evaluators appear capable of it is not theorized here.
Relevant Notes:
- Reflective system — contrasts: supplies the structural capacity to represent and rewrite scope; this note is the judgment reflectivity does not supply
- Representational form — grounds: the prose, symbolic, and distributed-parametric forms that decide which reach-assessment route is available
- Formal symbolic systems assess reach only through causal and proof obligations — extends: develops the symbolic causal and proof routes, including the conditional Gödel-machine placement
- World models assess reach through action-conditioned prediction — extends: develops the distributed-parametric route through learned predictive artifacts
- Reflection may improve sample efficiency under structured shifts — evidence: links reusable causal mechanisms to transfer under structured shifts
- Gödel machines are a proof-governed case of reflective self-modification — evidence: the worked case of proof search assessing a symbolic self-rewrite utility claim
- Schmidhuber, Gödel Machines — evidence: primary-literature grounding for the target theorem, global-optimality claim, and unprovable-improvement limitation
- First-principles reasoning selects for explanatory reach over adaptive fit — grounds: the four-part negative test this note asks a system's own evaluator to apply, not only a human author
- Abstract an experience into a lesson only when you can state where the lesson stops — grounds: names stating a boundary as itself a judgment and leaves who can make it open; this note names the missing capability
- Reflection buys addressability — extends: addressability makes a bad change findable; reach assessment is what would make finding it as bad reliable
- Reflection makes retained lessons second-order: a lesson can reject or rescope a prior commitment — extends: rejection and rescoping are structural operations reflection enables; reach assessment is what would make exercising them reliable
Derived into:
- Formal symbolic systems assess reach only through causal and proof obligations — the causal and proof routes worked out from this definition's representational-form split
- World models assess reach through action-conditioned prediction — the distributed-parametric route worked out from this definition's representational-form split