Elamur Groupantsnumber-correction
The groupant beside world/src/numbers.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
| component | label | where |
|---|---|---|
| approximant | partial | Forward |
| ast | partial | ../syntax.json |
| composition | partial | Composition |
| cost | symbolic unmeasured | Cost |
| descriptant | present | model.md |
| invariant | partial | Invariant |
| tests | bounded evidence | tests |
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.
| id | type | label | where |
|---|---|---|---|
nonbehavior | behavior_complement | partial source derived model | nonbehavior |
antecedents | reverse_reconstruction | partial source derived model | antecedents |
transposition-weight | weighted_metric | partial source derived model | transposition-weight |
tie-stability | selection_order | partial source derived model | tie-stability |
Model text
descriptant
number-correction
Forward
Weighted OSA ranks vocabulary by distance then integer Dice then fixed order; exact input string memoizes result.
Invariant
Exact words/dozen return None; under-three-byte or non-ASCII-letter strings reject.
Cost
O(m*n) distance time and matrix space per candidate; unbounded distinct-key cache.
Composition
Trigram sets supply secondary score; caller normalize separately gates contextual application.
Epoch memory
2026-10-29: source-derived initial model, source hash 41e5c848b76cd85ba99f84746d76099707d968957fb1b8774e8a35def2b23ec6. Scope envelope [4010,6542) is anchored to selected partial syntax nodes, not semantic proof or full coverage. Runtime source unchanged. AST omits macros expansion, name resolution, inferred types and cfg evaluation. Generated dictionary/global tables are fixed dependencies not bound by this file hash. Catalog false-formula controls and boundary observations refine claims without modifying production.
catalog
number-correction typed models
Epoch 2026-10-29; subject numbers.rs, SHA-256 41e5c848b76cd85ba99f84746d76099707d968957fb1b8774e8a35def2b23ec6. Domain is the bounded calls/traces stated below; observation horizon is one invocation unless explicitly a trace. Fixed compiled global/dictionary tables, successful allocation, unpoisoned locks and nonoverflowing arithmetic are assumptions. Every relation is a partial source-derived specification; Rust correspondence beyond recorded checks remains open. Behavior complements target U minus R and restrictions are candidate inner bounds, not proven complements. Reverse relations preserve all compatible antecedents. Hash traversal is an explicit hidden input for values.
nonbehavior
Type: behavior_complement. Domain, observation and operator: U=strings x Option vocabulary; R=correct. Candidate inner bound U minus R includes Some for exact words, short strings or non-ASCII input, or winners above candidate threshold.
Evidence/falsification: Probe rejection literals. See root evidence.md for executed cases; proposed checks remain unexecuted. Status: partial source-derived model with bounded evidence only.
antecedents
Type: reverse_reconstruction. Domain, observation and operator: Some(v) fiber is every admitted string with eligible lexicographically best v; None combines admission rejection and no eligible candidate. Cache state remains ambiguous.
Evidence/falsification: Finite alphabet oracle proposed. See root evidence.md for executed cases; proposed checks remain unexecuted. Status: partial source-derived model with bounded evidence only.
transposition-weight
Type: weighted_metric. Domain, observation and operator: Insertion/deletion/substitution cost2; adjacent transposition cost1 via d[i-2][j-2]. This is optimal-string-alignment, not unrestricted Damerau distance.
Evidence/falsification: Probe ab/ba and false weight2 formula. See root evidence.md for executed cases; proposed checks remain unexecuted. Status: partial source-derived model with bounded evidence only.
tie-stability
Type: selection_order. Domain, observation and operator: Equal-distance candidate replaces incumbent only for strictly greater integer Dice; exact ties retain cardinal/ordinal/dozen vocabulary order. Integer division can coalesce distinct rational scores.
Evidence/falsification: Equal-score enumeration proposed. See root evidence.md for executed cases; proposed checks remain unexecuted. Status: partial source-derived model with bounded evidence only.
tests
Checks
Root evidence.md records direct real-source Rust tests and bounded probes, including false-formula rejection. Catalog checks marked proposed remain unexecuted. Syntax/manifest validation checks identity and structure only. No GPU, live teacher, full application run or general proof.
This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/world/src/numbers.rs.groupant/correction.groupant/