Automated Theorem Proving

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13 papers in the last four weeks, up 86% on the four weeks before. 0.1% of all new papers.

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  1. From Expert-Guided Proof Search to Automated Open-Problem Solving

    Oct 7, 2026Adrián Zámečník, Matěj Kripner, Martin Koutecký +5Automated Theorem ProvingAI Agents for Scientific Discovery

    Computer Science Institute, Charles University · Institute of Formal and Applied Linguistics, Charles University · Department of Applied Mathematics, Charles University +1

  2. 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

  3. 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

  4. 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

  5. Cogentic: Multi-Agent Orchestration for Automated Proof Discovery

    Sep 30, 2026Yang Cai, Vineet Gupta, Yanchen Jiang +4Multi-Agent LLM SystemsAI Agents for Scientific Discovery

    Google Research · Yale University · Google DeepMind

  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. TCSAlgBench: Benchmarking Automated Proving for Research-Level Theoretical Computer Science

    Sep 28, 2026Chutong Yang, Xiyuan Zhang, Yu Huang +7Mathematical Reasoning BenchmarksAutomated Theorem Proving

    Department of Computer Science, The University of Texas at Austin · Amazon · Department of Statistics and Data Science, The Wharton School, University of Pennsylvania

  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. Direct Optimization of Generators for Search in Automated Theorem Proving

    Sep 22, 2026Adam Ousherovitch, Ambuj TewariInference-Time SearchAutomated Theorem Proving

    Department of Statistics University of Michigan

  13. 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

  14. Stellar Colosseum: A Many-Agent Harness for Long-Horizon Research in Mathematics and Theoretical Computer Science

    Sep 14, 2026Honghao Lin, David P. Woodruff, Yuan Deng +3Inference-Time SearchAutomated Theorem Proving

    1Google Research. · 2Carnegie Mellon University.

  15. 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

  16. 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

  17. AutoGraphForge: Towards Automated Graph Theory Discovery

    Sep 3, 2026Ján PastorekAutomated Theorem ProvingAutomated Algorithm Discovery

    Department of Applied Informatics, Comenius University in Bratislava, Bratislava, Slovakia

  18. A Certificate-Producing Cascade for Equational Implication: The SAIR EQT2 Stage 2 Solver

    Sep 1, 2026Haobo Ma, Wenlin Zhang, Manuel Israel CázaresAutomated Theorem ProvingSymbolic Reasoning

    ChronoAI Pte. Ltd. · Singapore · National University of Singapore +2

  19. FormalTCS: Benchmarking End-to-End Frontier Formal Theoretical Computer Science Research of Large Language Models

    Aug 20, 2026Dingzirui Wang, Xuanliang Zhang, Keyan Xu +2LLM EvaluationAutomated Theorem Proving

    Harbin Institute of Technology

  20. PROVE-RT: Generating Mechanized Theorem Prover Scripts for Real-Time Systems using LLMs

    Aug 13, 2026Sadat Shahriyar, Shareef Ahmed, Abdullah Al ArafatAutomated Theorem ProvingReal-Time Scheduling

    Florida International University · University of South Florida

  21. OEIS Open: How many conjectures can language models turn into theorems?

    Aug 12, 2026Tom AdamczewskiLLM EvaluationAutomated Theorem Proving

    Epoch AI

  22. TCS-BENCH: Benchmarking State-of-the-Art Generative AI Theoretical Computer Science Research Ability

    Aug 10, 2026Vincent Cohen-Addad, Dimitris Paparas, Ernest van Wijland +13LLM EvaluationAutomated Theorem Proving

    †Google 1 · ‡CNRS, IRIF, Université Paris-Cité · §Princeton University, Department of Computer Science +2

  23. Structure-Preserving Uncertainty Propagation in First-Order Proof Search

    Aug 10, 2026Tanel TammetProbabilistic LogicLogical Reasoning

    Tallinn University of Technology

  24. Can Open-Weight LLMs Produce Kernel-Verified Coq Proofs? A Pilot Study

    Aug 5, 2026Ahmed Ryan, Md Erfan, Akond Ashfaque Ur Rahman +1LLM EvaluationAutomated Theorem Proving

    University of Alabama, Tuscaloosa, Alabama, USA · Auburn University, Auburn, Alabama, USA

  25. 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

  26. Recovering Explanations from Transformed Rule-Based Ontologies

    Jul 31, 2026Alex Ivliev, Markus Krötzsch, Maximilian MarxAutomated Theorem ProvingSymbolic Reasoning

    Knowledge-Based Systems Group, TU Dresden, Dresden, Germany

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

    Jul 30, 2026Ruslan KhrulevAutomated Theorem ProvingInteractive Theorem Proving

    Lomonosov Moscow State University

  28. Albilich: Steerable Proof-State Orchestration for LLM-Based Mathematical Research with CAS Integration

    Jul 30, 2026Ting Gong, Michael Ruofan Zeng, Yong YangAutomated Theorem ProvingAI-Assisted Scientific Research

    University of Washington Seattle, Washington, USA · Texas State University San Marcos, Texas, USA

  29. 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

  30. CausalSmith: A Formally Grounded, Self-Improving Agentic Framework for Automated Research in Causal Inference

    Jul 24, 2026Jiyuan Tan, Vasilis SyrgkanisAI Agents for Scientific DiscoveryAutomated Theorem Proving