| # Composing operations with obligations inherited from the route |
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| How can a small model compose large programs by navigating compatible operations? |
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| A small model is proposed to select prepared operations by intent, entering local subspaces that inherit compatibility requirements from the route used to reach them. Extending simple-code experiments to more general reasoning remains open. |
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| Status: open problem. Formulation and comparisons: reconstruction. Development: active. |
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| ## Alternative representations |
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| ### Prepared operations with named interfaces |
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| Affords: Reduces repeated code construction. |
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| Limits or losses: A name does not establish compatibility or reveal all effects. |
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| ### A context carrying inherited constraints |
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| Affords: Makes route-dependent obligations explicit. |
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| Limits or losses: Compatible local steps may still produce a globally invalid program. |
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| ## Tension |
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| Standardized composition may reduce effort while producing bulky code and needing revision when standards change. |
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| ## Challenge |
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| How does the interface know which obligations from earlier operations still apply? |
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| This challenge is an editorial prompt, not a claim that the evidence already resolved it. |
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| ## Proposed next move |
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| Compare two identical local calls reached through different contexts and test whether incompatible continuations are rejected. |
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| Status: new model-proposed experiment or extension; not a reported result. |
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| ## Related problems |
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| - [Becoming neighbors through a change of representation](changing-neighborhoods.md) — is recalled in a concrete design (corpus_evidence). The compatible-operation proposal explicitly returns to location-dependent topology and neighborhoods. |
| - [Navigation as an action language](navigation-as-language.md) — specifies inherited constraints (retrospective_connection). The later compatible-operation proposal makes route history relevant to the available next actions. |
| - [Constituents, order, and path identity](order-sensitive-path-encoding.md) — makes route identity operational (retrospective_connection). Inherited compatibility can depend on the route; the right equivalence relation must preserve relevant obligations. |
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| ## Evidence anchors |
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| - basis-path-dependent-composition: The proposal has a small model choose prepared functions through simple controls instead of reading or writing their code. Entering a subspace is said to inherit compatibility with the route already taken. Simple-code experiments are reported as successful, followed by a question about extending the approach to more general reasoning. [Editorial paraphrase; presence of a proposal does not verify its truth.] |
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| Root evidence and private recovery mappings are not part of this public release. |
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| [Open in the reader](../index.html#node=path-dependent-composition) · [All problems](../CATALOG.md) |
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| ## Research editions |
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| - [Memory, Tokens, and Learning Geometry](../documents/memory-tokens-and-learning-geometry.md) (reconstruction). |
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