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

The groupant beside tools/ocrfix/src/main.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:** [`tools/ocrfix/src/main.rs`](https://github.com/ElamurAI/mova-free/blob/main/tools/ocrfix/src/main.rs)
- **source SHA-256:** `c0912bb251c79fa6…`
- **covers:** Initialize d[i,0]=i,d[0,j]=j; d[i,j]=min(diag+mismatch,up+1,left+1). Backtrace diagonal if equal, else deletion if equal, else insertion; accumulate gt->hyp substitution multiset. (bytes 17281–18433)
- **part of:** [ocrfix-text-command](https://md.groupants.elamur.ai/free/en/mova/tools/ocrfix/src/main.rs.groupant/)
- **repository folder:** [`tools/ocrfix/src/main.rs.groupant/alignment.groupant`](https://github.com/ElamurAI/mova-free/tree/main/tools/ocrfix/src/main.rs.groupant/alignment.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 | [approximant](#approximant) |
| **ast** | partial | `../syntax.json` |
| **cost** | symbolic source derived | [invariant-and-cost](#invariant-and-cost) |
| **descriptant** | present | [descriptant](#descriptant) |
| **invariant** | partial | [invariant-and-cost](#invariant-and-cost) |
| **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 |
|---|---|---|---|
| `ocrfix-text-command-alignment-behavior_complement` | behavior_complement | partial source derived model | [behavior_complement](#behavior-complement) |
| `ocrfix-text-command-alignment-reverse_reconstruction` | reverse_reconstruction | partial source derived model | [reverse_reconstruction](#reverse-reconstruction) |
| `ocrfix-text-command-alignment-length_conservation` | length_conservation | partial source derived model | [length_conservation](#length-conservation) |
| `ocrfix-text-command-alignment-tie_priority` | tie_priority | partial source derived model | [tie_priority](#tie-priority) |
| `ocrfix-text-command-alignment-substitution_histogram` | substitution_histogram | partial source derived model | [substitution_histogram](#substitution-histogram) |
| `ocrfix-text-command-alignment-resource_boundary` | resource_boundary | partial source derived model | [resource_boundary](#resource-boundary) |

## Model text


### descriptant

#### ocrfix-text-command-alignment

##### Epoch 2026-10-31

Full source read preceded changes. Prospective model predicted branch/order, resource and information-loss behavior. Tests exercise actual helpers on bounded synthetic inputs; command workflows remain unexecuted. Production source prefix is preserved; only inline tests added.

Initialize d[i,0]=i,d[0,j]=j; d[i,j]=min(diag+mismatch,up+1,left+1). Backtrace diagonal if equal, else deletion if equal, else insertion; accumulate gt->hyp substitution multiset.

Executable percentage approximation is unsupported: categorical parsing/effects have no useful certified metric here. Partial syntax excludes macro expansion and name resolution.

### approximant

#### Forward relation

Initialize d[i,0]=i,d[0,j]=j; d[i,j]=min(diag+mismatch,up+1,left+1). Backtrace diagonal if equal, else deletion if equal, else insertion; accumulate gt->hyp substitution multiset.

##### Domain

Finite char slices with n,m and DP increments fitting u32 and allocation capacity.

### models

## Typed source models

All models are partial source-derived relations at this manifest snapshot. Scope is one call/trace under the stated domain; no universal semantic proof.

### behavior_complement

Identity slices exclude positive distance; empty gt excludes substitutions/deletions; empty hyp excludes substitutions/insertions.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.

### reverse_reconstruction

Counts and pair multiset admit many string pairs and placements. Given full DP and slices, chosen backtrace fixed, but minimal alternative alignments may exist.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.

### length_conservation

Every diagonal consumes1 each; deletion gt only; insertion hyp only, so m-n=i-d.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.

### tie_priority

At equal optimum diagonal beats deletion, deletion beats insertion; pair histogram is tie-policy dependent though distance is not.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.

### substitution_histogram

Only unequal diagonal increments both s and directed pair(gt,hyp); equal diagonal consumes without record.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.

### resource_boundary

Allocate(n+1)*(m+1) cells before filling; casts and increments require bounded lengths. Allocation failure/overflow are outside exact finite model.

Domain: Finite char slices with n,m and DP increments fitting u32 and allocation capacity. Observation: s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique. Assumptions: bounded resources and source branch semantics. Oracle: selected actual-helper tests in tests.md constrain only their finite fixtures; remaining branches are source-derived.


### tests

#### Evidence

Selected exact tests: ["tests::brackets_rejoined","tests::stream_and_cer","tests::channel_corrects_and_keeps","tests::negative_control_known_word_stays","wave33::channel_depth_alignment_and_masks"].

Each runs twice in debug and twice in release with normalized named outcomes compared. Compiled production-boundary mutants are recorded in the external wave33 text receipts with original/restored hashes and positive reruns. Existing negative assertions are separate from compiled mutants. No CLI, download, teacher, corpus or model execution. For this fragment, source-derived paths not reached by these tests remain unverified.

### invariant-and-cost

#### Invariant and cost

##### Invariant

s+i+d=d[n,m]; n-d+i=m; sum(pair counts)=s. Exact comparisons on bounded u32 DP cells; diagonal priority fixes an alignment, not necessarily unique.

##### Cost

O((n+1)(m+1)) time and u32 memory, substitution map O(s log distinct); no linear-space claim.

Arithmetic and allocation premises are conditional. No timing or percentage surrogate claimed.
