---
title: "math-qworld-cells — Mova code model"
description: "Mova code model of math/src/qworld.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/math/src/qworld.rs.groupant/cells.groupant/"
---
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# math-qworld-cells

The groupant beside math/src/qworld.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:** [`math/src/qworld.rs`](https://github.com/ElamurAI/mova-free/blob/main/math/src/qworld.rs)
- **source SHA-256:** `6225ef705c842a95…`
- **covers:** For each nonconstant quantity, compute inherited owner/thing, update last_owner/last_thing, then choose op. '=' assigns cell=v; '+'/'-' update old-or-zero by ±v; 'r' leaves the cell map immediately unchanged but records the command/log and retains the context changes. (bytes 1407–7370)
- **part of:** [math-qworld](https://md.groupants.elamur.ai/free/en/mova/math/src/qworld.rs.groupant/)
- **repository folder:** [`math/src/qworld.rs.groupant/cells.groupant`](https://github.com/ElamurAI/mova-free/tree/main/math/src/qworld.rs.groupant/cells.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` |
| **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) |
| `context_before_operation` | context_before_operation | partial source derived model | [context_before_operation](#context-before-operation) |
| `query_selection` | query_selection | partial source derived model | [query_selection](#query-selection) |

## Model text


### descriptant

#### math-qworld-cells

For each nonconstant quantity, compute inherited owner/thing, update last_owner/last_thing, then choose op. '=' assigns cell=v; '+'/'-' update old-or-zero by ±v; 'r' leaves the cell map immediately unchanged but records the command/log and retains the context changes.

Epoch 2026-10-31: replaced duplicate catalog sentences with concrete exclusions, compatible-antecedent examples and two distinct scoped behavioral views. Source and prior execution evidence are unchanged; this revision ran no tests.

### approximant

#### Scoped forward relation

For each nonconstant quantity, compute inherited owner/thing, update last_owner/last_thing, then choose op. '=' assigns cell=v; '+'/'-' update old-or-zero by ±v; 'r' leaves the cell map immediately unchanged but records the command/log and retains the context changes.

This source-derived relation is partial; no executable percentage surrogate or replacement is supplied.

### invariant

#### Scoped domain and invariants

Aligned quantities/descriptions are required. Original leaf indices remain in commands. Exact Q arithmetic preserves values but noun normalization supplies no dimensional guarantee.

##### Cost

Context normalization scans strings; cell updates use BTreeMap O(log cells) plus rational costs. Query may scan commands repeatedly and sort for template fallbacks.

### models

### behavior_complement

A rate command cannot immediately assign/add/subtract a cell. It can affect the owner/thing of later ownerless/unitless quantities, so a no-effect-on-later-state relation is excluded. Const-prefixed quantities are skipped before context updates.

### reverse_reconstruction

Set8;Set3 and Set99;Set3 share final cell3. A rate naming owner Sam/thing apple followed by a bare Set3 can share final cells with an explicit Sam/apple Set3, while command histories differ. Final state cannot recover the context-carrying rate.

### context_before_operation

If a rate supplies a nonpronoun subject and nonempty thing, last_owner/last_thing change before the r branch. The next empty-subject/unit description inherits these values despite the rate's zero immediate cell delta.

### query_selection

ask tries target difference before action difference, class sum, share and state. The target-difference branch uses ? and may return None without trying subsequent branches; State template delegates this entire ordering.

### tests

#### Scoped evidence

Exact overwrite and final state/ratio only; not every query precedence branch.

Named actual source fixtures: qworld::wave28::{exact_world_overwrites_and_labels_duplicates}.

Parent tests.md records commands and paired profiles. No additional coverage inferred from parent fixtures outside this byte range; source-scoped numeric/parse properties remain partial.