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--- |
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annotations_creators: |
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- no-annotation |
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language_creators: |
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- found |
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language: |
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- en |
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license: |
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- apache-2.0 |
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multilinguality: |
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- monolingual |
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size_categories: |
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- 10K<n<100K |
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source_datasets: |
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- generated/synthetic |
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task_categories: |
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- text-classification |
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- other |
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--- |
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# Implications |
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## Dataset Description |
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**Implications** is a synthetic dataset of logical formulas with Boolean variables and logical operators (`and`, `or`, `implies`). |
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Each example contains: |
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- `facts`: truth values assigned to variables (e.g., `a is true, b is false, ...`) |
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- `formula`: a linear formula without parentheses (e.g., `a and b implies c or d`) |
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- `num_operators`: the number of logical operators in the formula |
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- `gold_formula`: the overall truth value of the formula (`True` or `False`) |
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All duplicate `(facts, formula)` pairs have been removed to ensure that each combination is unique. |
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The dataset is designed for training models on **logical reasoning**, **linear probing**, or **LLMs** to predict the truth value of formulas. |
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--- |
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## Data Fields |
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| Column | Type | Description | |
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|-----------------|---------|-------------| |
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| facts | string | Boolean values assigned to variables | |
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| formula | string | Linear formula without parentheses | |
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| num_operators | int | Number of logical operators in the formula | |
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| gold_formula | bool | Truth value of the full formula | |
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--- |
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### `num_operators` counts (both in train and in test) |
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| num_operators | train_count | test_count | |
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|---------------|------------|-----------| |
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| 1 | 730 | 196 | |
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| 2 | 775 | 225 | |
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| 3 | 811 | 189 | |
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| 4 | 814 | 186 | |
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| 5 | 788 | 212 | |
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| 6 | 799 | 201 | |
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| 7 | 788 | 212 | |
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| 8 | 800 | 200 | |
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| 9 | 808 | 192 | |
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| 10 | 795 | 205 | |
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| 11 | 806 | 194 | |
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| 12 | 787 | 213 | |
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| 13 | 817 | 183 | |
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| 14 | 806 | 194 | |
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| 15 | 817 | 183 | |
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| 16 | 819 | 181 | |
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| 17 | 815 | 185 | |
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| 18 | 793 | 207 | |
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| 19 | 778 | 222 | |
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| 20 | 795 | 205 | |
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**Note:** All duplicate `(facts, formula)` pairs have been removed to ensure each example is unique. |
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--- |
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## Example |
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```csv |
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facts,formula,num_operators,gold_formula |
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"a is true, b is false, c is true","a and b or c implies d",5,True |
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"p is false, q is true","p or q implies r",2,False |
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