# Parason: Subtask- and Trial-Parallel Reasoning Data

Training data for **Parason**, which turns long sequential reasoning traces into *executable parallel
programs*. Three subsets, one per training stage.

| Subfolder | Stage | Contents |
| :--- | :--- | :--- |
| `sft-8x` | SFT (main) | Parallel trajectories with `<Subtask>` / `<Trial>` branches, Trial stages expanded 8x — extra branches sampled with Qwen3-8B, their `<Trial>` goals written by Gemini-3-Flash |
| `sft-1x` | SFT (baseline) | The unexpanded parallel trajectories: 964 annotated Qwen3-8B traces released by ThreadWeaver, each parallel stage labeled Subtask or Trial by Gemini-3-Flash |
| `rl` | PA-GRPO | RL prompt set — [Polaris-53k](https://github.com/ChenxinAn-fdu/POLARIS) (~53,000 complex reasoning problems), used unmodified |

Each subfolder holds a single `train.parquet`; there is no validation split. The two SFT sets are
matched in effective token budget (8 epochs over `sft-1x` ≈ 1 epoch over `sft-8x`).

## Trajectory format

The SFT trajectories mark two distinct forms of parallelism:

* **`<Subtask>`** — AND-branches. The problem splits into independent sub-goals, each producing a
  *required* result. Shortens the critical path.
* **`<Trial>`** — OR-branches. Competing speculative attempts test different hypotheses; all outputs
  are concatenated back into the reasoning history. Widens search.

```
<think>
[Initial problem analysis and setup]

<Parallel>
<Outlines>
<Trial> 1: [First hypothesis to test]
<Trial> 2: [Second hypothesis to test]
<Subtask> 3: [An independent sub-goal whose result is required]
</Outlines>

<Thread>
1: [Detailed reasoning for the first branch...]
</Thread>
<Thread>
2: [Detailed reasoning for the second branch...]
</Thread>
<Thread>
3: [Detailed reasoning for the third branch...]
</Thread>
</Parallel>
</think>

[Final answer in \boxed{} format]
```

Reserved tags, added as special tokens before training:

```
<Think> </Think>  <Parallel> </Parallel>  <Outlines> </Outlines>  <Outline> </Outline>
<Trial> </Trial>  <Subtask> </Subtask>    <Thread> </Thread>      <Conclusion> </Conclusion>
```

## Schema

**`sft-8x`, `sft-1x`**

| Field | Type | Description |
| :--- | :--- | :--- |
| `uuid` | `string` | Source-trace identifier |
| `question` | `string` | Problem statement |
| `response_reasoning` | `string` | Trajectory body — the `<think>` contents, containing the `<Parallel>` blocks |
| `response_content` | `string` | Post-`</think>` final answer, ending in `\boxed{...}` |
| `correctness` | `bool` | Whether the source trace was graded correct |
| `raw_messages` | `list[dict]` | `[{"role": "user", ...}, {"role": "assistant", ...}]` |
| `qwen_text` | `string` | **The training field.** Full trace with the Qwen3 chat template applied |
| `num_qwen_tokens` | `int` | Token count of `qwen_text` under the Qwen3-8B tokenizer |

**`rl`** — standard [veRL](https://github.com/volcengine/verl) prompt format: `prompt`
(`list[dict]`), `data_source`, `ability`, `reward_model` (`{"style": "rule", "ground_truth": ...}`),
`extra_info`.