---
title: "math-lex — Mova code model"
description: "Mova code model of math/src/lex.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/math/src/lex.rs.groupant/"
---
Elamur: [Mova](https://md.mova.elamur.ai/free/en/) · [Dictionary](https://md.dictionary.elamur.ai/free/en/) · [Research](https://md.research.elamur.ai/free/en/) · **Groupants**

This page as HTML: <https://groupants.elamur.ai/free/en/mova/math/src/lex.rs.groupant/>

# math-lex

The groupant beside math/src/lex.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

- **kind:** groupant
- **status:** partial source bound model
- **source:** [`math/src/lex.rs`](https://github.com/ElamurAI/mova-free/blob/main/math/src/lex.rs)
- **source SHA-256:** `6a1e155f726c65b8…`
- **repository folder:** [`math/src/lex.rs.groupant`](https://github.com/ElamurAI/mova-free/tree/main/math/src/lex.rs.groupant)
- **repository commit:** `48f2e6f74146`

> **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 | [approximant](#approximant) |
| **ast** | partial | `syntax.json` |
| **composition** | partial | [composition](#composition) |
| **descriptant** | present | [descriptant](#descriptant) |
| **invariant** | partial | [invariant](#invariant) |
| **tests** | executed bounded checks | [tests](#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 |
|---|---|---|---|
| `behavior_complement` | behavior_complement | partial source derived model | [behavior_complement](#behavior-complement) |
| `reverse_reconstruction` | reverse_reconstruction | partial source derived model | [reverse_reconstruction](#reverse-reconstruction) |
| `unit_transport` | unit_transport | partial source derived model | [unit_transport](#unit-transport) |
| `build_boundary` | build_boundary | partial source derived model | [build_boundary](#build-boundary) |
| `case_boundary` | case_boundary | partial source derived model | [case_boundary](#case-boundary) |
| `category_partition` | category_partition | partial source derived model | [category_partition](#category-partition) |

## Model text


### descriptant

#### math-lex

Exact mathematical lexical enums and UnitW transport.

Epoch 2026-10-31: source-derived partial model; prospective hypotheses retained before changes. Existing behavior unchanged except test helper path extraction. New bounded fixtures avoid annotated text/model/corpus/teacher paths. Child scopes use the parent syntax projection; lexical AST has no macro expansion or semantic resolution. Numeric thresholds and adapter differences are observations, not mathematical correctness proofs.

### approximant

#### Forward relation

Scalar UnitW variants map Mono::of; Kmh/Mph/Ms map distance per time. Generated lookup exact; understand::lx performs lowercase normalization.

##### Domain

Enum mapping preserves scale/dimension; OUT_DIR include is not expanded in lexical AST. No runtime I/O.

##### Executable approximant gap

No useful measured percentage surrogate is supplied for these categorical parse/search/effect observations. Supported future caps are 1%, 2%, 5%, 10% only, requiring an explicit metric and reference comparison. No speed or accuracy guarantee follows.

### invariant

#### Invariants and cost

Enum mapping preserves scale/dimension; OUT_DIR include is not expanded in lexical AST. No runtime I/O.

##### Cost

Constant enum dispatch; generated match byte comparisons/compiler strategy and Mono construction costs unmeasured.

Allocation failure, deep recursion, malformed public structures and universal numerical bounds are not verified.

### composition

#### Scoped composition

Exact mathematical lexical enums and UnitW transport.

Scalar UnitW variants map Mono::of; Kmh/Mph/Ms map distance per time. Generated lookup exact; understand::lx performs lowercase normalization.

build.rs generates lookup from lexicon data; understand::lx lowercases then read_number/read_unit consumes enum distinctions; UnitW::mono delegates dimensional scale representation.

### models

## Typed relations

### behavior_complement

Unknown exact lookup returns None; tested MILES differs from miles, not a universal claim about uppercase keys.

### reverse_reconstruction

Lex preimage consists of generated synonyms; inverse Mono requires restricting to enum table, cannot recover spelling.

### unit_transport

Kmh=km/h,Mph=mi/h,Ms=m/s; remaining variants singleton Mono.

### build_boundary

lookup generated in OUT_DIR at build, AST does not macro-expand it.

### case_boundary

understand lowercases, direct lookup does not.

### category_partition

Num,Frac,Times,Unit,Scale,Pct,Op,Fn,Kw separate roles; classification is not evaluation.

### tests

#### Source execution evidence

Safe command: cargo test -p math --lib wave28 -- --test-threads=1

Named outcomes (twice debug, twice release; sorted names equal; exits0):

```text
test lex::wave28::exact_lookup_and_speed_dimensions ... ok
```

One compiled assertion control for this source: compilation0, false expectation test101, exact byte restore, focused positive rerun0. These are actual source assertions, not copied implementations or semantic proof. Controls ran before rustfmt-only test-block formatting.

Selected lookup spellings and speed/scalar mappings only; generated lookup not exhaustively enumerated.

Strict math lib Clippy reports113 pre-existing production lints. No executable percentage surrogate, speed claim, model/corpus/teacher/GPU/full-school or held-out execution.