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--- |
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license: bsd-3-clause |
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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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tags: |
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- theorem-proving |
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- formal-methods |
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- isabelle |
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- archive-of-formal-proofs |
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- hol |
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size_categories: |
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- 100K<n<1M |
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--- |
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# Isabelle-AFP |
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Structured dataset from the Isabelle Archive of Formal Proofs (AFP) - the largest repository of formal proofs in Isabelle/HOL. |
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## Dataset Description |
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- **Source:** [isabelle-prover/mirror-afp-2024](https://github.com/isabelle-prover/mirror-afp-2024) |
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- **Entries:** 313,299 |
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- **Files processed:** 9,105 |
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- **AFP entries (projects):** 888 |
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- **License:** BSD-3-Clause |
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## Schema |
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| Column | Type | Description | |
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|--------|------|-------------| |
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| fact | string | Declaration body | |
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| type | string | lemma, definition, theorem, fun, locale, datatype, etc. | |
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| library | string | AFP entry name (project) | |
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| imports | list | Theory imports | |
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| filename | string | Source file path | |
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| symbolic_name | string | Declaration identifier | |
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| docstring | string | Documentation (20% coverage) | |
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## Statistics |
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### By Type (Top 15) |
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| Type | Count | |
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|------|-------| |
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| lemma | 228,980 | |
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| definition | 35,811 | |
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| fun | 10,758 | |
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| abbreviation | 6,005 | |
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| theorem | 5,892 | |
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| locale | 5,773 | |
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| corollary | 3,185 | |
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| type_synonym | 2,369 | |
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| primrec | 2,111 | |
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| instance | 2,087 | |
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| instantiation | 1,743 | |
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| datatype | 1,527 | |
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| class | 1,491 | |
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| inductive | 1,317 | |
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| proposition | 922 | |
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### Top AFP Entries |
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| Entry | Count | |
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|-------|-------| |
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| Crypto_Standards | 10,367 | |
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| AutoCorres2 | 8,760 | |
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| JinjaThreads | 4,937 | |
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| Cook_Levin | 3,008 | |
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| ConcurrentHOL | 2,989 | |
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## About AFP |
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The Archive of Formal Proofs is a collection of proof libraries for Isabelle/HOL, maintained by the Isabelle community. It contains formalized mathematics, verified algorithms, and program verification. |
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## Use Cases |
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- Retrieval/RAG for Isabelle/HOL |
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- Training embeddings for formal proofs |
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- Cross-prover research (compare with Coq, Lean, Agda) |
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- Verified software research |
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