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Add dataset card

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  ---
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- dataset_info:
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- features:
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- - name: fact
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- dtype: string
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- - name: type
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- dtype: string
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- - name: library
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- dtype: string
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- - name: imports
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- list: string
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- - name: filename
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- dtype: string
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- - name: symbolic_name
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- dtype: string
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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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  ---
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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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+
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+ # HOL4
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+
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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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+
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+ ## Source
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+
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+ - **Repository:** https://github.com/HOL-Theorem-Prover/HOL
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+ - **License:** BSD-3-Clause
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+
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+ ## Statistics
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+
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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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+
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+ ### Top Libraries
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+
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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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+
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+ ## Schema
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+
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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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+
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+ ## About HOL4
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+
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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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+
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+ ## Creator
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+
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+ Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic))