Lean Theorem Proving

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14 papers in the last four weeks, against 1 the four weeks before. 0.1% of all new papers.

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  1. Cost-Efficient Theorem Proving via Agent Orchestration in Program Verification

    Oct 7, 2026Shuangjie Yao, Nikolaus Holzer, Mark Paul Santolucito +3Automated Theorem ProvingFormal Verification

    Columbia University · The Hong Kong University of Science and Technology · Barnard College, Columbia University

  2. Let the Library Speak: Self-Advertised Method Selection for Formal Proving

    Oct 7, 2026Xiaopeng Yuan, Suijin Wang, Yanli Wang +5Automated Theorem ProvingLLM Mathematical Reasoning

    University of Illinois at Urbana-Champaign · Tsinghua University · Imperial College London +1

  3. AIProver: Agentic Auto-Formalization of Mathematical Research via Certificate-Driven Evolving Harness

    Oct 4, 2026Prithwish Jana, Viet Bach Hoang, Logan Luna +9Mathematical Reasoning BenchmarksAutomated Theorem Proving

    Georgia Institute of Technology, USA · University of Pennsylvania, USA · Foothill College, USA +3

  4. SkillEvoLean: Mutation-enhanced skill evolution for Lean provers

    Oct 1, 2026Kuo Zhou, Zixiong Yang, Lu ZhangLLM Agent Skill LearningLean Theorem Proving

    Peking University

  5. FORALL-LEAN-AGENT for Auditable Reasoning in Formal Mathematics and Software Verification

    Oct 1, 2026Naing Oo LwinAI Agent AuditingFormal Verification

    Astrio Labs

  6. Growing an Agent/Prover Interface: Evolutionary Tool Design for Cost-Efficient Theorem Proving in Rocq and Lean

    Sep 30, 2026Jules Viennot, Guillaume Baudart, Marc LelargeAutomated Theorem ProvingEvolutionary Optimization

    IRIF, Universit´e Paris Cit´e, Inria, CNRS · DI ENS, PSL University, Inria

  7. Fyan: A Human--AI Harness with Semantic Auditing for Document-Level Formalization

    Sep 30, 2026Wei Zhao, Yangshuo Zou, Chengxiang Ding +5Automated Theorem ProvingHuman-in-the-Loop AI

    School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China · University of California, Berkeley, CA 94720, USA · Zhiyuan College, Shanghai Jiao Tong University, Shanghai 200240, China +4

  8. LeanPolish: Verified Supervision for Lean Proof Compression

    Sep 29, 2026Pauline BourigaultLean Theorem Proving

    Imperial College London

  9. ProofLoom: Proof-Obligation-Driven Theory Construction for Autoformalizing Research-Level Stochastic Optimization

    Sep 28, 2026Feiming Wang, Daibo Li, Kun YuanStochastic OptimizationAutomated Theorem Proving

    Nankai University · Peking University

  10. When Does Structured Knowledge Help Neural Theorem Proving?

    Sep 28, 2026Sareh Nabi, Roland Vogl, Marzieh NabiAutomated Theorem ProvingKnowledge Augmentation for Language Models

    Stanford University

  11. Learning to Discover Interesting Mathematics

    Sep 23, 2026Niket Patel, Ahmad Rammal, Amaury Hayat +2Automated Theorem ProvingLean Theorem Proving

    New York University · CERMICS, ENPC, Institut Polytechnique de Paris

  12. Long-horizon autoformalization of a core theorem underlying MIP* = RE

    Sep 17, 2026Sirui Lu, Ruixuan Deng, David Zhu +1Automated Theorem ProvingFormal Verification

    Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, D-85748 Garching, Germany · Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, D-80799 Munich, Germany · Department of Computer Science and Technology, Tsinghua University +1

  13. Sage: Formalization with Semantic Correction

    Sep 16, 2026Thomas Hirtz, Farzad Jafarrahmani, Abdelmouksit Sagueni +3LLM Self-CorrectionLean Theorem Proving

    Huawei Lagrange Mathematics and Computing Research Center Paris, France

  14. Gödel's and Scott's Variants of the Ontological Argument in Lean 4 and TPTP THF

    Sep 14, 2026Christoph BenzmüllerAutomated Theorem ProvingLean Theorem Proving

    AI Systems Engineering, Otto-Friedrich-Universität Bamberg, Germany · Faculty of Mathematics and Computer Science, Freie Universität Berlin, Germany

  15. Magenta: Closing the Loop Between Mathematical Reasoning and Lean Verification

    Sep 12, 2026Joshua Ong Jun Leang, Haonan Li, Zheng Zhao +6Automated Theorem ProvingAgentic Reasoning

    Institute of Foundation Models · Imperial College London · University of Edinburgh +1

  16. StochBench: A Domain-Specific Benchmark for Stochastic Processes in Lean

    Sep 8, 2026Idan Davidovich, Debargha Ganguly, Vikash Singh +1Mathematical Reasoning BenchmarksLean Theorem Proving

    Case Western Reserve University

  17. Prove2Me: An Open Collaborative Platform for Scaling Math Formalization

    Aug 28, 2026Shuze Chen, Kunal Marwaha, Xiaoyang Lu +2Multi-Agent CollaborationLean Theorem Proving

    Graduate School of Business Columbia University New York, NY 10027 · Department of Computer Science University of Chicago Chicago, IL 60637 · Department of Computer Science Purdue University West Lafayette, IN 47907 +1

  18. MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4

    Aug 3, 2026Hao Shen, Junyu Guo, Tian Cui +2Automated Theorem ProvingLean Theorem Proving

    1SKLMS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing 100190, China · University of Chinese Academy of Sciences · Institute of Logic and Cognition, Department of Philosophy, Sun Yat-sen University, Guangdong 510275, China +1

  19. BlueprintRepair: Typed Local Edits for Failed Lean Proof Blueprints

    Jul 30, 2026Ruslan KhrulevAutomated Theorem ProvingInteractive Theorem Proving

    Lomonosov Moscow State University

  20. Learned Interventions in Lean 4 grind

    Jul 25, 2026Evan Wang, Simon Chess, Sophie Szeto +1Automated Theorem ProvingLean Theorem Proving

    Math AI Lab, University of Washington, Seattle, United States · Department of Computer Science and Engineering, University of Washington, Seattle, United States · Department of Mathematics, University of Washington, Seattle, United States

  21. Self-Modifying Lean Proof Agents with Verifier-Grounded Benchmark Coevolution

    Jul 19, 2026Yuqing Li, Zeguan Wu, Yu Gan +1LLM Agent Self-ImprovementLean Theorem Proving

    University of Pittsburgh

  22. PriorProof: A Point-in-Time Measure of Technique Novelty for Formal Proofs

    Jul 18, 2026Neel SomaniLean Theorem Proving

    Independent Researcher

  23. MathCoPilot: An Interactive System for Human-AI Symbiotic Paradigm of Mathematical Research

    Jul 16, 2026Junjie Zhang, Jiayu Liu, Wenbin Liu +11Multi-Agent LLM SystemsAutomated Theorem Proving

    1State Key Laboratory of Cognitive Intelligence, University of Science and Technology of China · School of Mathematical Sciences, University of Science and Technology of China

  24. OpenProver: Agentic and Interactive Theorem Proving with Lean 4

    Jul 10, 2026Matěj Kripner, Milan StrakaMulti-Agent LLM SystemsAutomated Theorem Proving

    Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic

  25. A Formalization of the Mean-Field Derivation of the Vlasov Equation: AI-Assisted Lean Formalization as a Strategy Game

    Jul 9, 2026Joseph K. MillerHuman-in-the-Loop AILean Theorem Proving

    Stanford University · Massachusetts Institute of Technology

  26. Multi-agent Autoformalization of Tensor Network Theory

    Jul 8, 2026Sirui Lu, Erickson Tjoa, J. Ignacio CiracTensor NetworksMulti-Agent LLM Systems

    Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, D-85748 Garching, Germany · Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, D-80799 Munich, Germany

  27. LRAT-Catcher: Importing SAT Solver Certificates into Lean4 by Reflection

    Jul 1, 2026Stefan SzeiderLean Theorem ProvingConstraint Satisfaction

    Algorithms and Complexity Group, TU Wien, Vienna, Austria

  28. Beyond the Library: An Agentic Framework for Autoformalizing Research Mathematics

    Jun 30, 2026Arshia Soltani Moakhar, Iman Gholami, Max Springer +2Multi-Agent LLM SystemsAutomated Theorem Proving

  29. Beyond Compilation: Evaluating Faithful Natural-Language-to-Lean Statement Formalization

    Jun 30, 2026Ke Zhang, Patricio Gallardo Candela, Sudhir Murthy +3LLM-as-a-JudgeLean Theorem Proving

    University of California, Riverside · University of Arizona · University of California, San Diego

  30. Faults in Our Formal Benchmarking: Dataset Defects and Evaluation Failures in Lean Theorem Proving

    Jun 28, 2026Pawan Sasanka Ammanamanchi, Siddharth Bhat, Stella BidermanBenchmark DesignBenchmark Validity

    Eleuther AI · Cambridge