---
title: "modelcheck-syntax-node-coordinates — Mova code model"
description: "Mova code model of tools/modelcheck/src/syntax.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/tools/modelcheck/src/syntax.rs.groupant/artifact-integrity.groupant/node-coordinates.groupant/"
---
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# modelcheck-syntax-node-coordinates

The groupant beside tools/modelcheck/src/syntax.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:** [`tools/modelcheck/src/syntax.rs`](https://github.com/ElamurAI/mova-free/blob/main/tools/modelcheck/src/syntax.rs)
- **source SHA-256:** `35c315cc9b581bea…`
- **covers:** Node coordinate and label admission (bytes 17620–18297)
- **part of:** [modelcheck-syntax-artifact-integrity](https://md.groupants.elamur.ai/free/en/mova/tools/modelcheck/src/syntax.rs.groupant/artifact-integrity.groupant/)
- **repository folder:** [`tools/modelcheck/src/syntax.rs.groupant/artifact-integrity.groupant/node-coordinates.groupant`](https://github.com/ElamurAI/mova-free/tree/main/tools/modelcheck/src/syntax.rs.groupant/artifact-integrity.groupant/node-coordinates.groupant)
- **repository commit:** `855da7bd4a7b`

> **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](#forward) |
| **ast** | partial | `../../syntax.json` |
| **cost** | partial | [Cost](#cost) |
| **descriptant** | partial | [Descriptant](#descriptant) |
| **invariant** | partial | [Invariant](#invariant) |
| **tests** | partial | [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 relational specification | [behavior_complement](#behavior-complement) |
| `reverse_reconstruction` | reverse_reconstruction | partial relational specification | [reverse_reconstruction](#reverse-reconstruction) |
| `empty_span_partition` | empty_span_partition | partial relational specification | [empty_span_partition](#empty-span-partition) |
| `coordinate_width` | coordinate_width | partial relational specification | [coordinate_width](#coordinate-width) |
| `label_opacity_projection` | label_opacity_projection | partial relational specification | [label_opacity_projection](#label-opacity-projection) |
| `endpoint_failure_priority` | endpoint_failure_priority | partial relational specification | [endpoint_failure_priority](#endpoint-failure-priority) |

## Model text


Subject: current manifest source SHA and exact UTF-8 range [17620,18297). The observation is one completed scoped call with adequate resources; source-derived relations are partial specifications. Filesystem checks describe sequential reads, not an atomic snapshot.

### Forward

Convert unsigned start/end to usize; require ordered endpoints and a valid UTF-8 source slice; then require nonempty category/variant strings and Boolean opaque. Root/parent checks are later and separate.

### Invariant

Zero-width syntax nodes are allowed, unlike nonempty fragment ranges. Endpoints inside a multibyte scalar reject. Labels need only be nonblank; category semantics remain unchecked.

### Cost

Constant field access and endpoint checks per node plus label trimming; O(sum label bytes) over the projection. UTF-8 get checks bounds without rescanning the whole source slice.

### Descriptant

Wave34, 2026-10-31: deeper scope retained under its existing parent without replacing historical views. Decode reuse was proposed before edits and checked against actual reference decoding; behavioral controls and repeated native receipts remain finite evidence. No numerical surrogate is justified for categorical validation outcomes; no percentage accuracy or complete semantic proof is claimed.

### Tests

Exact native test: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Parent tests additionally exercise integration and failure order. Current evidence is in ../../wave34-evidence.md; old evidence remains explicitly historical in wave33-evidence.md at the source root.

### behavior_complement

Exclude passage with negative/noninteger/unrepresentable offsets, start>end, offsets beyond text, split UTF-8 boundaries, blank category/variant or nonboolean opacity.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.

### reverse_reconstruction

Given admitted [a,b), compatible source texts have scalar boundaries at a and b and length at least b. Empty spans and arbitrary slice contents remain possible; admitted labels do not recover Rust syntax.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.

### empty_span_partition

start=end is admitted when the point is a UTF-8 boundary. This differs from fragment coverage a<b and must remain distinct when composing syntax and fragment checks.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.

### coordinate_width

On a platform with narrower usize, u64 coordinates must convert successfully before indexing. The relation explicitly includes platform width, not an assumed 64-bit cast.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.

### label_opacity_projection

The accepted label space is all nonblank strings with an independent Boolean opacity. Unknown categories are therefore structurally admissible and semantic source matching remains omitted.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.

### endpoint_failure_priority

Start conversion precedes end conversion; interval admission precedes labels. Multiple malformed fields expose this order through their first diagnostic.

Assurance: source-derived partial relation; fixed source revision and stated scope. Oracle: syntax::artifact_tests::declared_projection_rejects_stale_wrong_source_and_bad_ranges. Finite observations do not establish universal completeness.
