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--- |
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license: bsd-3-clause |
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tags: |
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- theorem-proving |
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- formal-methods |
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- hol4 |
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- higher-order-logic |
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- standard-ml |
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task_categories: |
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- text-generation |
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- feature-extraction |
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language: |
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- en |
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size_categories: |
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- 10K<n<100K |
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--- |
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# HOL4 |
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A structured dataset of theorems and definitions from **HOL4**, a mature theorem prover for higher-order logic. |
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## Source |
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- **Repository:** https://github.com/HOL-Theorem-Prover/HOL |
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- **License:** BSD-3-Clause |
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## Statistics |
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| Property | Value | |
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|----------|-------| |
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| **Total Entries** | 63,341 | |
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| **Theorems** | 50,840 | |
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| **Definitions** | 12,501 | |
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| **Script Files** | 1,334 | |
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### Top Libraries |
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| Library | Count | |
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|---------|-------| |
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| real | 5,491 | |
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| examples/algebra | 3,618 | |
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| algebra | 3,147 | |
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| pred_set | 2,723 | |
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| examples/lambda | 2,633 | |
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| probability | 2,193 | |
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## Schema |
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| Column | Type | Description | |
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|--------|------|-------------| |
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| `fact` | string | Theorem statement or definition body | |
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| `type` | string | "theorem" or "definition" | |
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| `library` | string | HOL4 library/example directory | |
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| `imports` | list[string] | SML open statements | |
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| `filename` | string | Source Script.sml file | |
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| `symbolic_name` | string | Theorem/definition name | |
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## About HOL4 |
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HOL4 is an interactive theorem prover for classical higher-order logic. Key areas: |
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- Real analysis and topology |
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- Probability theory |
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- Algebra (groups, rings, fields) |
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- Formal languages and automata |
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- Hardware verification |
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- Program verification |
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## Creator |
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Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic)) |
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