---
title: "algorithm-two-way-matching-tests — Mova code model"
description: "Mova code model of algorithms/src/two_way_matching/tests.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/algorithms/src/two_way_matching/tests.rs.groupant/"
---
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# algorithm-two-way-matching-tests

The groupant beside algorithms/src/two_way_matching/tests.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 derived instance
- **source:** [`algorithms/src/two_way_matching/tests.rs`](https://github.com/ElamurAI/mova-free/blob/main/algorithms/src/two_way_matching/tests.rs)
- **source SHA-256:** `27dee1b3a1fe5646…`
- **repository folder:** [`algorithms/src/two_way_matching/tests.rs.groupant`](https://github.com/ElamurAI/mova-free/tree/main/algorithms/src/two_way_matching/tests.rs.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** | bounded checked | [Forward](#forward) |
| **ast** | partial | `syntax.json` |
| **cost** | symbolic unmeasured | [Cost](#cost) |
| **descriptant** | present | [descriptant](#descriptant) |
| **invariant** | source derived | [Invariant](#invariant) |
| **tests** | bounded executed | [evidence](#evidence) |

## 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 | [nonbehavior](#nonbehavior) |
| `preimages` | reverse_reconstruction | partial source derived | [preimages](#preimages) |
| `oracle-independence` | refinement_relation | partial source derived | [oracle-independence](#oracle-independence) |
| `mutation-sensitivity` | counterfactual_relation | partial source derived | [mutation-sensitivity](#mutation-sensitivity) |
| `repeatability` | metamorphic_relation | partial source derived | [repeatability](#repeatability) |

## Model text


### descriptant

#### algorithm-two-way-matching-tests

Prospective model saved before implementation in $MOVA_DATA/runs/octopus-wave18-strings-2026-10-30/prospective.md.

Run bounded independent oracle fixtures, edge witnesses, and executable reconstruction invariants; assertions certify only the exercised inputs.

All oracle cases are generated deterministically; comparison or reconstruction must assert, not merely execute.

Observed 2026-10-30: Binary pairs: 511 texts through length 8 times 127 patterns through length 6 = 64,897 independent window comparisons. Long periodic and nonperiodic cases, overlaps, empty boundaries and every byte. Mutation adds one to returned offsets; exhaustive_offsets fails.

Partial Rust syntax projection excludes macro expansion and semantic resolution. Finite tests do not prove general correctness or linear cost. No executable approximation profile: outputs are discrete exact objects and no useful certified surrogate metric is proposed.

### model

## algorithm-two-way-matching-tests

### Forward

Run bounded independent oracle fixtures, edge witnesses, and executable reconstruction invariants; assertions certify only the exercised inputs.

### Invariant

All oracle cases are generated deterministically; comparison or reconstruction must assert, not merely execute.

### Cost

Finite exponential small-input oracle enumeration is intentional; production cost is modeled separately. Test allocation is ordinary and unbudgeted.

### nonbehavior

Passing fixtures do not establish universal correctness, asymptotic complexity, allocator exhaustion behavior or Unicode semantics. A compiler failure does not count as a killed mutation.

Domain: finite byte inputs and stated successful-allocation/representability premises. Observation: public call or named internal state. Status: source-derived exact target relation with bounded evidence, not a general proof.

### preimages

A named assertion failure identifies a violated fixture relation but may have many implementation causes. Passing observations retain all implementations agreeing on the enumerated finite domain.

Domain: finite byte inputs and stated successful-allocation/representability premises. Observation: public call or named internal state. Status: source-derived exact target relation with bounded evidence, not a general proof.

### oracle-independence

Binary pairs: 511 texts through length 8 times 127 patterns through length 6 = 64,897 independent window comparisons. Long periodic and nonperiodic cases, overlaps, empty boundaries and every byte. Mutation adds one to returned offsets; exhaustive_offsets fails.

Domain: finite byte inputs and stated successful-allocation/representability premises. Observation: public call or named internal state. Status: source-derived exact target relation with bounded evidence, not a general proof.

### mutation-sensitivity

The compiled intentional production mutation must reach its named assertion and fail; exact production bytes are restored and the positive suite reruns.

Domain: finite byte inputs and stated successful-allocation/representability premises. Observation: public call or named internal state. Status: source-derived exact target relation with bounded evidence, not a general proof.

### repeatability

Two serial debug runs and two serial optimized runs must have identical normalized test identities and outcomes. Timing fields are excluded; no speed claim follows.

Domain: finite byte inputs and stated successful-allocation/representability premises. Observation: public call or named internal state. Status: source-derived exact target relation with bounded evidence, not a general proof.

### evidence

#### Evidence, 2026-10-30

Source SHA-256: 27dee1b3a1fe564682f70131c1d14dbda70d7f8a380295de5a62cf1ebc0de5b1.

Three tests for this algorithm passed twice in debug and twice with rustc -O, serial execution and identical normalized identities. Compiled mutation failed the named assertion; source restored byte exactly and positive suite passed again. Two source-bound partial syntax projections were byte identical.

Binary pairs: 511 texts through length 8 times 127 patterns through length 6 = 64,897 independent window comparisons. Long periodic and nonperiodic cases, overlaps, empty boundaries and every byte. Mutation adds one to returned offsets; exhaustive_offsets fails.

Logs under $MOVA_DATA/runs/octopus-wave18-strings-2026-10-30:

- two_way_matching-debug-1.log: de33458663ba04f1a6bd8396f80554f5ff651da16e05609af4a5752f98b67558
- two_way_matching-debug-2.log: de33458663ba04f1a6bd8396f80554f5ff651da16e05609af4a5752f98b67558
- two_way_matching-release-1.log: 2d08e9e9e1dae2e45b32aac537d93883f2cc86d0af32511656d560749d4bc2f0
- two_way_matching-release-2.log: 2d08e9e9e1dae2e45b32aac537d93883f2cc86d0af32511656d560749d4bc2f0
- two_way_matching-mutant.log: 07f1789e82142e5f44d86d6d3e5cb1f551bbf9d7a77df93b285f28270b33f5dd
- two_way_matching-restored.log: de33458663ba04f1a6bd8396f80554f5ff651da16e05609af4a5752f98b67558
- cargo-two_way_matching-debug-1.log: 82a7bd56891aa322f06f4bb39815df7d42d6e5914151485cc5d3d10a9c1cb006
- cargo-two_way_matching-debug-2.log: f0ea76ed5c031b20fb37025370d152cabc7dc2c44c4bd41c26ef664aadcaf8e0
- cargo-two_way_matching-release-1.log: 79594969a49e754fa88079c8660a09c9a34ce1ba68482b73cba904107e117af9
- cargo-two_way_matching-release-2.log: 3f2ed2a26c495cfade5eb554da26fed9479e3fea84ce5abc4a80f9eff492e714

Cargo focused suites also passed twice in debug and twice in release with matching normalized outcomes. Strict library Clippy passed. Temporary exports restored. Clippy log SHA-256: a5668d2636de8c7e7c3d3a1b6aea1da32174b64bee750b6b6cdfca8afc01a77b.

Partial Rust syntax projection excludes macro expansion and semantic resolution. Finite tests do not prove general correctness or linear cost. No executable approximation profile: outputs are discrete exact objects and no useful certified surrogate metric is proposed.