rezonans-problem-space / problems /path-dependent-composition.md
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Composing operations with obligations inherited from the route

How can a small model compose large programs by navigating compatible operations?

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.

Status: open problem. Formulation and comparisons: reconstruction. Development: active.

Alternative representations

Prepared operations with named interfaces

Affords: Reduces repeated code construction.

Limits or losses: A name does not establish compatibility or reveal all effects.

A context carrying inherited constraints

Affords: Makes route-dependent obligations explicit.

Limits or losses: Compatible local steps may still produce a globally invalid program.

Tension

Standardized composition may reduce effort while producing bulky code and needing revision when standards change.

Challenge

How does the interface know which obligations from earlier operations still apply?

This challenge is an editorial prompt, not a claim that the evidence already resolved it.

Proposed next move

Compare two identical local calls reached through different contexts and test whether incompatible continuations are rejected.

Status: new model-proposed experiment or extension; not a reported result.

Related problems

  • Becoming neighbors through a change of representation — 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 — specifies inherited constraints (retrospective_connection). The later compatible-operation proposal makes route history relevant to the available next actions.
  • Constituents, order, and path identity — makes route identity operational (retrospective_connection). Inherited compatibility can depend on the route; the right equivalence relation must preserve relevant obligations.

Evidence anchors

  • 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.]

Root evidence and private recovery mappings are not part of this public release.

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