---
configs:
  - config_name: dataset_rawpairs
    data_files: dataset_rawpairs.jsonl
  - config_name: signatures
    data_files: signature.jsonl
---

# FOLIO — Curated Pairs and Signatures

Curated FOLIO instances for evaluating LLM-based first-order-logic (FOL) formula curation. Each instance pairs a natural-language sentence with a candidate FOL formalization (`FOL_sentence_old`) and a curated reference (`FOL_sentence`), grouped by story; per-story ontologies (signatures) are provided separately.

## Configurations

### `dataset_rawpairs` — `dataset_rawpairs.jsonl`

275 instances used for held-out evaluation.


| Field | Type | Description |
|---|---|---|
| `id` | string | Instance id (e.g. `story_380`, `concl_380_1`) |
| `NL_sentence` | string | Natural-language sentence |
| `FOL_sentence` | string | Curated reference FOL formalization |
| `FOL_sentence_old` | string | Original (pre-curation) FOL formalization |
| `corrected` | bool | Whether the original was corrected |
| `ambiguity` | bool | Whether the sentence is ambiguous |
| `ambiguity_explanation` | string | Rationale for the ambiguity flag (when applicable) |
| `correction_explanation` | string | Rationale for the correction (selection only) |
| `label` | string | Gold NLI label for the *curated* formula (`FOL_sentence`). |
| `label_z3` | string | Z3-derived NLI label for the curated formula. |
| `label_old` | string | Original NLI label from the *original* formula (`FOL_sentence_old`). |
| `label_old_z3` | string | Z3-derived NLI label for the original formula. |

```python
from datasets import load_dataset
ds_sel  = load_dataset("<your-username>/<repo>", "dataset_rawpairs")
```

### `signatures` — `signature.jsonl`

Per-story ontology used to render vocabulary blocks in prompts and to type-check formulas. One JSON object per line, 73 stories.

| Field | Type | Description |
|---|---|---|
| `story_id` | int | Story id (matches the `*_{story_id}` suffix in `rawpairs_*.id`) |
| `Rel` | object | `{predicate_name → {arity, pos_meaning, neg_meaning}}` |
| `Const` | object | `{constant_name → description}` |

```python
ds = load_dataset("<your-username>/<repo>", "signatures")
```

## FOL syntax

Unicode operators:
- Quantifiers: `∀`, `∃`
- Boolean: `¬`, `∧`, `∨`, `→`, `↔`, `⊕`
- Predicates: capitalized (e.g. `Human(x)`)
- Variables: lowercase; constants: capitalized

Example: `∀x (Human(x) → Mortal(x))`