---
title: "latex-test-gate-stage0 — Mova code model"
description: "Mova code model of latex/tests/gate.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/stage0.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**

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# latex-test-gate-stage0

The groupant beside latex/tests/gate.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_fragment
- **status:** partial source bound model
- **source:** [`latex/tests/gate.rs`](https://github.com/ElamurAI/mova-free/blob/main/latex/tests/gate.rs)
- **source SHA-256:** `710172ffe064b1fe…`
- **covers:** SUITE iterates fixed formula literals; ok requires parse success. For each tree, unknowns must be empty, gate::check must return Ok, and to_latex(parse(to_latex(tree))) must equal first print. Failures accumulate then one assert requires an empty list. (bytes 558–5303)
- **part of:** [latex-test-gate](https://md.groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/)
- **repository folder:** [`latex/tests/gate.rs.groupant/stage0.groupant`](https://github.com/ElamurAI/mova-free/tree/main/latex/tests/gate.rs.groupant/stage0.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) |
| `quotient_oracle` | quotient_oracle | partial source derived model | [quotient_oracle](#quotient-oracle) |
| `finite_conjunction` | finite_conjunction | partial source derived model | [finite_conjunction](#finite-conjunction) |

## Model text


### descriptant

#### latex-test-gate-stage0

SUITE iterates fixed formula literals; ok requires parse success. For each tree, unknowns must be empty, gate::check must return Ok, and to_latex(parse(to_latex(tree))) must equal first print. Failures accumulate then one assert requires an empty list.

Epoch 2026-10-31: replaced stage topic lists with concrete transitions, exclusions and compatible antecedents. Four meaningful typed views replace the previous six-view bookkeeping catalog. Shared syntax and source byte bounds are unchanged.

### approximant

#### Scoped forward relation

SUITE iterates fixed formula literals; ok requires parse success. For each tree, unknowns must be empty, gate::check must return Ok, and to_latex(parse(to_latex(tree))) must equal first print. Failures accumulate then one assert requires an empty list.

This is an exact source-derived partial model, not an executable approximate replacement.

### invariant

#### Scoped invariants

The selected test cannot pass if any listed fixture fails parsing, retains unknowns, fails structural gate or changes canonical bytes on the second print. It does not reject a fault confined to unlisted inputs.

gate compares Node equality, which erases Span coordinates. The additional fixed-point assertion constrains printer stability but still does not validate original coordinates.

Success is conjunction over the fixed SUITE, not a random-sampling confidence interval or full TeX completeness theorem. No denominator beyond this suite is justified.

### composition

#### Scoped interaction

Fixture test joins parse, unknown traversal, canonical printer and gate. It runs independently of the skipped random-token and document tests.

The manifest binds this stage to the unchanged parent syntax projection and exact source byte range. Parent cost remains an upper accounting context; no independent whole-file invocation or execution count is assigned to this fragment.

### models

### behavior_complement

The selected test cannot pass if any listed fixture fails parsing, retains unknowns, fails structural gate or changes canonical bytes on the second print. It does not reject a fault confined to unlisted inputs.

### reverse_reconstruction

A passing transcript admits all implementations agreeing on this finite suite, including ones with arbitrary differences elsewhere. Span-only changes can pass structural gate; canonical-byte agreement does not reconstruct fixture whitespace/alias choices.

### quotient_oracle

gate compares Node equality, which erases Span coordinates. The additional fixed-point assertion constrains printer stability but still does not validate original coordinates.

### finite_conjunction

Success is conjunction over the fixed SUITE, not a random-sampling confidence interval or full TeX completeness theorem. No denominator beyond this suite is justified.

### tests

#### Evidence — 2026-10-31

7 integration tests via --test gate with document and soup skipped

Selected library filters ast:: lex:: macros:: parse:: print:: table:: and integration gate excluding document_extraction_with_preamble_macros and random_token_soup_never_panics_and_roundtrips. Direct rustc --test latex/build.rs exercises private helpers. All selected tests twice debug/release with identical sorted names. Four compiled mutants at build/AST/parser/printer boundaries fail assertions then exact restoration passes. These do not individually cover every source. Build-main failure effects, allocation failures and universal roundtrip are unproved. Strict Clippy reports existing lints. No corpus/live VMM/API/GPU/full-school/held-out tests.