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math-solver-orchestration-memory-fallback

The groupant beside math/src/solve.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.

Facts

Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.

Components

componentlabelwhere
approximantpartialapproximant
astpartial../syntax.json
compositionpartialcomposition
descriptantpresentdescriptant
invariantpartialinvariant
testspartial bounded evidencetests

Obernants

The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.

idtypelabelwhere
behavior_complementbehavior_complementpartial source derived modelbehavior_complement
reverse_reconstructionreverse_reconstructionpartial source derived modelreverse_reconstruction
failure_precedencefailure_precedencepartial source derived modelfailure_precedence
representation_transportrepresentation_transportpartial source derived modelrepresentation_transport
resource_boundaryresource_boundarypartial source derived modelresource_boundary
domain_boundarydomain_boundarypartial source derived modeldomain_boundary

Model text

descriptant

Source-bound description

Memos filter verified B then join Problem by id. C trains10epochs, filters same method/count/template/not own id, ranks skeleton and tries<=3. Multiple-choice requires unique computed numeric option. Verified candidate wins, else copy selected B fields with by_slm false.

Epoch 2026-10-31: prospective model before bounded synthetic tests; production behavior unchanged. Source scope bytes[9085,13850). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.

approximant

Forward relation

Memos filter verified B then join Problem by id. C trains10epochs, filters same method/count/template/not own id, ranks skeleton and tries<=3. Multiple-choice requires unique computed numeric option. Verified candidate wins, else copy selected B fields with by_slm false.

Domain: Synthetic bounded records and templates; finite similarity/margins. Equal similarity preserves memo order.

Executable Rust approximant unsupported: categorical/effect observations have no useful percentage metric yet. Future caps1/2/5/10% only; no automatic substitution.

invariant

Invariant and cost

Missing Problem id excludes memo. Empty memory excludes by_slm success. No held split filter here; caller must enforce.

Ordering: Config/verified→id lookup→template; C margin→candidates→instantiate→option selection→gate→fallback.

Cost: Perceptron train+per-problem memory feature/skeleton work and<=3 plan runs (2 each with options). O(candidate list+records+weights).

composition

Composition and epoch memory

Correct flag copied for reporting but does not control memo admission; internal gate distinct from grade.

Source scope bytes[9085,13850). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.

Partial syntax and finite tests do not establish all caller assumptions.

models

behavior_complement

Missing Problem id excludes memo. Empty memory excludes by_slm success. No held split filter here; caller must enforce.

reverse_reconstruction

Memo can derive from verified incorrect record. C fallback cannot reconstruct omitted history/trace/error; template success records donor id but not entire training sequence.

failure_precedence

Config/verified→id lookup→template; C margin→candidates→instantiate→option selection→gate→fallback.

representation_transport

Correct flag copied for reporting but does not control memo admission; internal gate distinct from grade.

resource_boundary

Perceptron train+per-problem memory feature/skeleton work and<=3 plan runs (2 each with options). O(candidate list+records+weights).

domain_boundary

Synthetic bounded records and templates; finite similarity/margins. Equal similarity preserves memo order.

tests

Evidence, 2026-10-31

Selected actual-source checks: cargo test -p math --lib solve::wave28. Exact commands, numeric statuses, normalized outcomes, compiled assertion controls and restoration receipts are in the external wave28 mathcontrol run.

Source scope bytes[9085,13850). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.

No live teacher/API, trained model, corpus/held-out, GPU, DB or expensive benchmark run. Parent syntax generated twice identically. Scope remains partial.

This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/math/src/solve.rs.groupant/memory-fallback.groupant/