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ml:automatic_theorem_proving

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ml:automatic_theorem_proving [2024/06/03 04:25] – [Neural Theorem Proving] jmflanigml:automatic_theorem_proving [2025/10/07 14:31] (current) – [Autoformalization] jmflanig
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   * [[https://arxiv.org/pdf/2205.15231.pdf|Jordan Meadows & André Freitas 2022 - A Survey in Mathematical Language Processing]]   * [[https://arxiv.org/pdf/2205.15231.pdf|Jordan Meadows & André Freitas 2022 - A Survey in Mathematical Language Processing]]
   * **[[https://arxiv.org/pdf/2212.10535.pdf|Lu et al 2022 - A Survey of Deep Learning for Mathematical Reasoning]]**   * **[[https://arxiv.org/pdf/2212.10535.pdf|Lu et al 2022 - A Survey of Deep Learning for Mathematical Reasoning]]**
-  * [[https://arxiv.org/pdf/2404.09939|Li et al 2024 - Survey on Deep Learning for Theorem Proving]]+  * **[[https://arxiv.org/pdf/2404.09939|Li et al 2024 - Survey on Deep Learning for Theorem Proving]]**
   * Formalizing mathematics   * Formalizing mathematics
     * [[http://cl-informatik.uibk.ac.at/users/cek/docs/20/ckfr-cicm20.pdf|Kaliszyk & Rabe 2020 - A Survey of Languages for Formalizing Mathematics]]     * [[http://cl-informatik.uibk.ac.at/users/cek/docs/20/ckfr-cicm20.pdf|Kaliszyk & Rabe 2020 - A Survey of Languages for Formalizing Mathematics]]
 +  * Autoformalization
 +    * [[https://arxiv.org/pdf/2505.23486|Weng et al 2025 - Autoformalization in the Era of Large Language Models: A Survey]]
  
 ===== Papers ===== ===== Papers =====
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     * [[https://arxiv.org/pdf/2310.00656|Wang et al 2023 - LEGO-Prover: Neural Theorem Proving with Growing Libraries]]     * [[https://arxiv.org/pdf/2310.00656|Wang et al 2023 - LEGO-Prover: Neural Theorem Proving with Growing Libraries]]
     * [[https://mathai2023.github.io/papers/29.pdf|Thakur et al 2023 - A Language-Agent Approach to Formal Theorem-Proving]]     * [[https://mathai2023.github.io/papers/29.pdf|Thakur et al 2023 - A Language-Agent Approach to Formal Theorem-Proving]]
 +    * [[https://arxiv.org/pdf/2405.14414|Wang et al 2024 - Proving Theorems Recursively]]
   * **Construction All-In-One Go**   * **Construction All-In-One Go**
     * [[https://arxiv.org/pdf/2210.12283|Jiang et al 2022 - Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs]]     * [[https://arxiv.org/pdf/2210.12283|Jiang et al 2022 - Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs]]
     * [[https://arxiv.org/pdf/2305.16366|Zhao et al 2023 - Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Proving]]     * [[https://arxiv.org/pdf/2305.16366|Zhao et al 2023 - Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Proving]]
     * [[https://arxiv.org/pdf/2303.04910|First et al 2023 - Baldur: Whole-Proof Generation and Repair with Large Language Models]]     * [[https://arxiv.org/pdf/2303.04910|First et al 2023 - Baldur: Whole-Proof Generation and Repair with Large Language Models]]
 +  * [[https://arxiv.org/pdf/2310.18457|Welleck & Saha 2023 - LLMSTEP: LLM proofstep suggestions in Lean]]
 +  * [[https://arxiv.org/pdf/2412.20735|Li et al 2024 - HunyuanProver: A Scalable Data Synthesis Framework and Guided Tree Search for Automated Theorem Proving]]
 +  * [[https://arxiv.org/pdf/2502.00212|Dong & Ma 2025 - STP: Self-play LLM Theorem Provers with Iterative Conjecturing and Proving]]
 +  * [[https://arxiv.org/pdf/2505.20613|Shen et al 2025 - REAL-Prover: Retrieval Augmented Lean Prover for Mathematical Reasoning]]
  
  
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       * Paper: [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.100.2087&rep=rep1&type=pdf|Urban et al 2007 - Combining Mizar and TPTP Semantic Presentation Tools]] {{papers:combining_mizar_and_tptp_semantic_presentation_and_verification_tools.pdf|pdf}}       * Paper: [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.100.2087&rep=rep1&type=pdf|Urban et al 2007 - Combining Mizar and TPTP Semantic Presentation Tools]] {{papers:combining_mizar_and_tptp_semantic_presentation_and_verification_tools.pdf|pdf}}
       * Dataset: [[https://www.tptp.org/MizarTPTP/|website]]       * Dataset: [[https://www.tptp.org/MizarTPTP/|website]]
 +  * [[https://arxiv.org/pdf/2407.11214|Tsoukalas et al 2024 - PUTNAMBENCH: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competition]]
  
 ===== Formalizing Mathematics ===== ===== Formalizing Mathematics =====
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     * **[[https://drops.dagstuhl.de/opus/volltexte/2021/13906/pdf/LIPIcs-ITP-2021-11.pdf|Byliński et al 2021 - Syntactic-Semantic Form of Mizar Articles]]** Gives an overview and a good historical introduction in the intro.     * **[[https://drops.dagstuhl.de/opus/volltexte/2021/13906/pdf/LIPIcs-ITP-2021-11.pdf|Byliński et al 2021 - Syntactic-Semantic Form of Mizar Articles]]** Gives an overview and a good historical introduction in the intro.
     * [[https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.368.286&rep=rep1&type=pdf|Grzegorz Bancerek 2006 - Automatic Translation in Formalized Mathematics]]     * [[https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.368.286&rep=rep1&type=pdf|Grzegorz Bancerek 2006 - Automatic Translation in Formalized Mathematics]]
 +
 +===== Autoformalization =====
 +  * Overviews
 +    * [[https://leanprover.zulipchat.com/user_uploads/3121/lWKHE1MCcJ1ZwiF2poPoJckC/Autoformalization.pdf|Szegedy 2019 - A Promising Path Towards Autoformalization and General Artificial Intelligence]] Great
 +    * [[https://arxiv.org/pdf/2311.00007|Avigad et al 2023 - Mathematics and the Formal Turn]] Great overview of the reasons to autoformalize mathematics
 +    * [[https://arxiv.org/pdf/2505.23486|Weng et al 2025 - Autoformalization in the Era of Large Language Models: A Survey]]
  
 === Informal Math to Formal Math Parsing === === Informal Math to Formal Math Parsing ===
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 ===== People ===== ===== People =====
 +  * [[https://www.andrew.cmu.edu/user/avigad/papers.html|Jeremy Avigad]]
   * [[https://scholar.google.com/citations?user=bp68Q1kAAAAJ&hl=en|Cezary Kaliszyk]] [[http://cl-informatik.uibk.ac.at/users/cek/|homepage]]   * [[https://scholar.google.com/citations?user=bp68Q1kAAAAJ&hl=en|Cezary Kaliszyk]] [[http://cl-informatik.uibk.ac.at/users/cek/|homepage]]
   * [[https://scholar.google.com/citations?user=3QeF7mAAAAAJ&hl=en|Christian Szegedy]] (at Google)   * [[https://scholar.google.com/citations?user=3QeF7mAAAAAJ&hl=en|Christian Szegedy]] (at Google)
ml/automatic_theorem_proving.1717388750.txt.gz · Last modified: 2024/06/03 04:25 by jmflanig
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