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README.md
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- name: docstring
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dtype: 'null'
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splits:
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- name: train
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num_bytes: 17408683
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num_examples: 63341
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download_size: 3712752
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dataset_size: 17408683
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configs:
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- config_name: default
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data_files:
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- split: train
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path: data/train-*
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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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