# 📐  L2 Spec — HMM Sequence Alignment and Profile Inference — Nominal + Mismatch Specs

**ID:** `L2-413-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-413`](/artifact/l1/L1-413)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.4 · **Delta tier:** 5
> **⛓ On-chain block:** 41555223

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N sequences | — | 5 – 10000 |
| M model states | — | 10 – 2000 |
| L alignment length | — | 20 – 5000 |
| Sequence identity percent | — | 5 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
70 + 10 * (sequence_identity_percent / 40) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.4 |
| Delta tier | 5 |

## 4. Fingerprint

`2a0be5fd4a49fd1a8992f3ef8a65ab46f3a0e4c3ec08a20731ab5c5e430b0493`

## 5. On-chain Registration

- **Chain hash:** `0x626dfc29ff470af81eb96f4fe3004edd65138d4a59e86944b7a4bf2c2f131b11`
- **Chain tx hash:** `0xb08acb15cacd5631aa8686df9b7f7b646ddb0369d0ca85afc587579d5e941f9e`
- **Chain block:** `41555223`

---

## File Mapping

This bundle consists of: `L2-413-001.md`, `L2-413-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-413-001.md` | Source of truth — edit this | Human or LLM |
| `L2-413-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-413-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._