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

The groupant beside math/src/curric.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 bound model
- **source:** [`math/src/curric.rs`](https://github.com/ElamurAI/mova-free/blob/main/math/src/curric.rs)
- **source SHA-256:** `01ecd25d533bc2f3…`
- **repository folder:** [`math/src/curric.rs.groupant`](https://github.com/ElamurAI/mova-free/tree/main/math/src/curric.rs.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** | partial bounded evidence | [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) |
| `failure_precedence` | failure_precedence | partial source derived model | [failure_precedence](#failure-precedence) |
| `representation_transport` | representation_transport | partial source derived model | [representation_transport](#representation-transport) |
| `resource_boundary` | resource_boundary | partial source derived model | [resource_boundary](#resource-boundary) |
| `domain_boundary` | domain_boundary | partial source derived model | [domain_boundary](#domain-boundary) |

## Parts

- [math-curriculum-sampling](https://md.groupants.elamur.ai/free/en/mova/math/src/curric.rs.groupant/sampling.groupant/)
- [math-curriculum-grading](https://md.groupants.elamur.ai/free/en/mova/math/src/curric.rs.groupant/grading.groupant/)

## Model text


### descriptant

#### Source-bound description

sample stable-sorts splitmix(SEED xor fnv(salt:id)) then takes k. prep assigns floor(n/2) dev before deduplicating ids (reported counts may exceed rows). grade recognized option overrides answer; else letter or unique numeric match. Int rational equality exact; otherwise abs error<=1%*max(abs(gold),1e-9) OR<1e-9.

Epoch 2026-10-31: prospective model before bounded synthetic tests; production behavior unchanged. No corpus prep/load or held grading; arbitrary malformed numeric normalization not certified.

### approximant

#### Forward relation

sample stable-sorts splitmix(SEED xor fnv(salt:id)) then takes k. prep assigns floor(n/2) dev before deduplicating ids (reported counts may exceed rows). grade recognized option overrides answer; else letter or unique numeric match. Int rational equality exact; otherwise abs error<=1%*max(abs(gold),1e-9) OR<1e-9.

Domain: Synthetic samples/Problems only. MMLU indexing assumes<=5 choices and valid index; malformed input can panic. No external prep.

Executable Rust approximant unsupported: categorical/effect observations have no useful percentage metric yet. Future caps1/2/5/10% only; no automatic substitution.

### invariant

#### Invariant and cost

Recognized wrong option excludes correct grade even with right numeric answer; unknown option permits fallback. k=0 returns empty. NaN does not pass tolerance.

Ordering: Recognized option→short letter→numeric unique match; norm_num tries rational then first number then expression.

Cost: O(n log n)+clone/hash bytes sampling, complete JSONL pools for prep. Grading parsing/evaluation and big arithmetic delegated.

### composition

#### Composition and epoch memory

Problem kind/source→solve Expect; option_value and norm_num differ, so not identical normalization.

No corpus prep/load or held grading; arbitrary malformed numeric normalization not certified.

Partial syntax and finite tests do not establish all caller assumptions.

### models

### behavior_complement

Recognized wrong option excludes correct grade even with right numeric answer; unknown option permits fallback. k=0 returns empty. NaN does not pass tolerance.

### reverse_reconstruction

Sample admits all pools with same keyed prefix and unseen tail; collisions retain input order. Grade true admits numeric tolerance neighborhood or alternate spellings, not unique answer.

### failure_precedence

Recognized option→short letter→numeric unique match; norm_num tries rational then first number then expression.

### representation_transport

Problem kind/source→solve Expect; option_value and norm_num differ, so not identical normalization.

### resource_boundary

O(n log n)+clone/hash bytes sampling, complete JSONL pools for prep. Grading parsing/evaluation and big arithmetic delegated.

### domain_boundary

Synthetic samples/Problems only. MMLU indexing assumes<=5 choices and valid index; malformed input can panic. No external prep.

### tests

#### Evidence, 2026-10-31

Selected actual-source checks: `cargo test -p math --lib curric::`. Exact commands, numeric statuses, normalized outcomes, compiled assertion controls and restoration receipts are in the external wave28 mathcontrol run.

No corpus prep/load or held grading; arbitrary malformed numeric normalization not certified.

No live teacher/API, trained model, corpus/held-out, GPU, DB or expensive benchmark run. Parent syntax generated twice identically. Scope remains partial.