Add dataset card

README.md

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+---
+license: apache-2.0
+task_categories:
+  - text-generation
+language:
+  - en
+tags:
+  - arithmetic
+  - interpretability
+  - sorl
+  - mechanistic-interpretability
+  - addition
+  - subtraction
+size_categories:
+  - 1M<n<10M
+---
+
+# Arithmetic SoRL Data
+
+Training and evaluation data for the **SoRL Arithmetic Interpretability Study**.
+
+We train small transformers on integer addition and subtraction, then use
+[Self-Organizing Reinforcement Learning (SoRL)](https://github.com/fangyuan-ksgk/mod_gpt)
+to externalize the model's carry/borrow circuits as explicit abstraction tokens.
+
+Reference: Quirke et al., "Understanding Addition and Subtraction in Transformers" (2024)
+
+## Dataset Structure
+
+Each subfolder contains `train.parquet`, `val.parquet`, and `config.json`.
+
+| Subfolder | Digits | Operations | Train | Val | Sequence Length |
+|---|---|---|---|---|---|
+| `add_6digit` | 6 | addition | 500K | 10K | 21 tokens |
+| `add_sub_6digit` | 6 | add + sub | 500K | 10K | 21 tokens |
+| `add_4digit` | 4 | addition | 500K | 10K | 15 tokens |
+| `add_sub_4digit` | 4 | add + sub | 500K | 10K | 15 tokens |
+
+## Format
+
+Each row has:
+- **tokens**: list of ints — the full input sequence (operands + operator + answer)
+- **labels**: list of str — per-answer-digit sub-task label
+- **op**: `"add"` or `"sub"`
+- **x_digits**, **y_digits**, **z_digits**: the raw digit lists (MSB first)
+
+### Token format
+
+Addition: `XXXXXX+YYYYYY=ZZZZZZZ` (n_digits + operator + n_digits + equals + n_digits+1)
+
+Subtraction: `XXXXXX-YYYYYY=ZZZZZZZ` (x >= y guaranteed, answer zero-padded)
+
+Token IDs: 0-9 = digits, 10 = `+`, 11 = `=`, 12 = `-`
+
+### Sub-task labels
+
+Each answer digit is labeled with the arithmetic sub-task it requires:
+
+**Addition:**
+| Label | Name | Description |
+|---|---|---|
+| BA | Base Add | Simple addition, no carry |
+| MC1 | Make Carry | digit_sum >= 10, generates carry |
+| MS9 | Make Sum 9 | digit_sum == 9, propagates carry if present |
+| UC1 | Use Carry | carry_in=1, digit_sum != 9 |
+| US9 | Use Sum 9 | carry_in=1, digit_sum == 9 (cascade, hardest) |
+
+**Subtraction:**
+| Label | Name | Description |
+|---|---|---|
+| BS | Base Sub | Simple subtraction, no borrow |
+| MB1 | Make Borrow | x_i < y_i, needs borrow |
+| MD9 | Make Diff 9 | x_i == y_i, propagates borrow if present |
+| UB1 | Use Borrow | borrow_in=1, x_i != y_i |
+| UD9 | Use Diff 9 | borrow_in=1, x_i == y_i (cascade, hardest) |
+
+## Data Enrichment
+
+Following Quirke et al.: 60% of batches have 40% of digit positions forced to sum-to-9,
+increasing the frequency of US9 (carry cascade) examples from ~6% to ~8%.
+
+## Usage
+
+```python
+from datasets import load_dataset
+
+ds = load_dataset("thoughtworks/arithmetic-sorl-data", data_dir="add_6digit")
+print(ds["train"][0])
+# {'tokens': [1, 2, 3, 4, 5, 6, 10, 6, 5, 4, 3, 2, 1, 11, 0, 7, 7, 7, 7, 7, 7],
+#  'labels': ['BA', 'UC1', 'MS9', ...], 'op': 'add', ...}
+```
+
+## Related
+
+- Model checkpoints: [thoughtworks/arithmetic-sorl](https://huggingface.co/thoughtworks/arithmetic-sorl)
+- Code: [mod_gpt/arithmetic/](https://github.com/fangyuan-ksgk/mod_gpt/tree/amir/arithmetic/arithmetic)
+- SoRL paper: Yu & Abdullah, "Intention-Level Alignment with Weak Supervision" (2025)