Large Language Model-Guided Theorem Proving

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56 papers13 papers in the last four weeks, up 160% on the four weeks before. 0.1% of all new papers.

  1. LeanDojo-v2: A Comprehensive Library for AI-Assisted Theorem Proving in Lean

    Nov 6, 2026Ryan Hsiang, William Adkisson, Robert Joseph George +1Lean Theorem ProvingLarge Language Model-Guided Theorem Proving

    National Taiwan University · Washington University in St. Louis · California Institute of Technology

  2. LeanContext: Disentangling Mathematical Resources from Local Formal Context in Lean Whole-Proof Generation

    Nov 5, 2026Hang Zhang, Qihao Ye, Litong Liu +7Large Language Model-Guided Theorem ProvingAutomated Theorem Proving

    University of Missouri-Kansas City · Columbia University · Monash University Malaysia +3

  3. TLAPS-Bench: Formally Proving Correctness of Real-World System Specifications with TLA+ Proof System

    Nov 2, 2026Qian Cheng, Ruize Tang, Saad Mohammad Rafid Pial +13Automated Theorem ProvingLarge Language Model-Guided Theorem Proving

    Nanjing University · Microsoft · University of Illinois at Urbana-Champaign +8

  4. Math Foundation Formalization Agent: A General-Purpose Approach to Formalizing Mathematical Foundations

    Nov 2, 2026Jiaxin Xie, Guowei Dou, Xiang Ji +1AutoformalizationLarge Language Model-Guided Theorem Proving

    School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing, China

  5. Reap: Uncovering Monte Carlo proof search with a lightweight model

    Nov 2, 2026Yutong Wang, Xuanzhi Ren, Tianyi Xu +5Automated Theorem ProvingLarge Language Model-Guided Theorem Proving

    Peking University · IQuest Research · Beijing International Center for Mathematical Research and the New Cornerstone Science Laboratory, Peking University +3

  6. LARK: Lean-Assisted Reasoning for LLM-Generated GPU Kernels

    Nov 1, 2026Zixi Zhang, Jiayi Nie, Haoran Wu +7GPU Kernel Correctness VerificationGPU Kernel Generation

    Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom · Department of Computer Science and Technology, University of Cambridge, Cambridge, United Kingdom · Quettaflop AI +2

  7. DAPS: Dependency-Aware Premise Selection for LLM Theorem Proving

    Oct 30, 2026Zixuan Chen, Wenyuan Jiang, Junling Wang +2Large Language Model-Guided Theorem ProvingAutomated Theorem Proving

    ETH Zurich · ETH Zurich, ETH AI Center

  8. Scaling Lean Theorem Proving for Real-World Code Verification

    Oct 28, 2026Debargha Ganguly, Divya Raghunathan, Dejan Jovanović +6Lean Theorem ProvingFormal Verification

    Case Western Reserve University · Amazon Web Services

  9. OpenFrontiers: A Collection of Open Research Problems and a Benchmark for Scientific Rediscovery

    Oct 27, 2026Jiarui Yao, Ruida Wang, Tong ZhangLLM EvaluationLarge Language Model-Guided Scientific Discovery

    University of Illinois Urbana-Champaign

  10. KAPPA: Checking the Proofs in Statistics Papers with Lean 4 and Language Model Agents

    Oct 26, 2026Zihua She, Xiao WangLarge Language Model-Guided Theorem ProvingAutomated Theorem Proving

    Department of Statistics, Purdue University, West Lafayette, IN 47907, USA

  11. h1: A Taste of the Bitter Lesson in Automated Theorem Proving

    Oct 25, 2026Skander Moalla, Ahmad Rammal, Niket Patel +2Large Language Model-Guided Theorem ProvingAutomated Theorem Proving

    FAIR at Meta · EPFL · CERMICS, ENPC, Institut Polytechnique de Paris +1

  12. SemantEq: Faithful Bidirectional Equivalence of Formal Statements

    Oct 23, 2026Xinrui Li, Pawan Sasanka Ammanamanchi, Siddharth Bhat +3Formal VerificationLean Theorem Proving

    EleutherAI · Carnegie Mellon University · University of Cambridge +1

  13. LLM2Cert: LLM Synthesis of Certificates with SMT/Lean Verification

    Oct 21, 2026Zhipeng Cao, Peiyang Song, Nikolaus Vertovec +6Formal VerificationControl Lyapunov Functions

    Institute of Software, Chinese Academy of Sciences (CAS) · School of Advanced Interdisciplinary Sciences, University of Chinese Academy of Sciences · Language Technologies Institute, School of Computer Science, Carnegie Mellon University +5

  14. Maestro: Agentic Formal Proof Development by Coordination

    Oct 19, 2026Haoyu Li, Zeren Shui, Yuhao Zhang +4Large Language Model-Guided Theorem ProvingLean Theorem Proving

    University of Illinois Urbana-Champaign · AWS AI Labs · Georgia Institute of Technology

  15. Fix, Not Just Resample: Bounded Compiler-Guided Repair in Lean 4

    Oct 18, 2026Haotian Deng, Chris Farber, Sonal Narasimha +2Automated Theorem ProvingLarge Language Model-Guided Theorem Proving

    Purdue University

  16. Repair, Retry, and the Cost of Hindsight: Verifier Feedback in Formal Theorem Proving

    Oct 15, 2026Jack Li, Sophia LiLLM Self-CorrectionLarge Language Model-Guided Theorem Proving

    Department of Computer Science, Stanford University

  17. Do Theorem Provers Need Theorem-Proving Agents? mini-Lean-agent: A Coding-Agent Baseline for Lean

    Oct 12, 2026Tomas Ortega, Simon Park, Ayush Khaitan +3Large Language Model-Guided Theorem ProvingAutomated Theorem Proving

    Princeton Language and Intelligence Princeton University Princeton, NJ 08540 · Department of Mathematics Rutgers University Piscataway, NJ 08854

  18. SCOPE: Certified Theorem Proving with a Language Model as the Policy Planner

    Oct 6, 2026Hanchao Zhou, Jialei LiLarge Language Model-Guided Theorem ProvingAutomated Theorem Proving

  19. Solving VeriContest with a Lean-Backed Rust Verifier

    Oct 2, 2026Traian Serbanuta, Jun Xu, Andrei Stefanescu +1Large Language Model-Guided Theorem ProvingFormal Verification

    Asymptotic

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

    Sep 28, 2026Feiming Wang, Daibo Li, Kun YuanStochastic OptimizationLarge Language Model-Guided Theorem Proving

    Nankai University · Peking University

  21. When Does Structured Knowledge Help Neural Theorem Proving?

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

    Stanford University

  22. 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

  23. 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

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

    Aug 12, 2026Tom AdamczewskiLLM EvaluationAutomated Theorem Proving

    Epoch AI

  25. 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

  26. 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

  27. Case study: proving sqrt(2) irrational with LPTP and an LLM

    Jul 23, 2026Fred Mesnard, Étienne Payet, Wim VanhoofLarge Language Model-Guided Theorem ProvingAutomated Theorem Proving

    LIM, université de La Réunion, France · Université de Namur, Belgium

  28. AoA: Theorem Proving Agent over Abstract Syntax Tree of Redesigned Language

    Jul 17, 2026Qiyuan Xu, Joshua Ong Jun Leang, Renxi Wang +4Large Language Model-Guided Theorem ProvingAutomated Theorem Proving

    Nanyang Technological University · Singapore · Imperial College London +5

  29. TreeThink: A Modular Tree Search Library for Mathematical Reasoning with LLMs

    Jul 13, 2026Burak S. Akbudak, Zeynel A. Uluşan, Can S. Erer +1Automated Theorem ProvingTree Search

    Computer Engineering Department, Bogazici University, Istanbul, Turkey · Computer Engineering Department, Koç University, Istanbul, Turkey · Codeway Studios, Istanbul, Turkey +2

  30. A Machine-Verified Proof of a Quantum-Optimization Conjecture

    Jun 29, 2026Uri Kol, Maor Ben-Shahar, Kfir Sulimany +1Large Language Model-Guided Theorem ProvingQuantum Approximate Optimization Algorithm

    Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts 02138, USA · MIT Center for Theoretical Physics - a Leinweber Institute, Cambridge, MA 02139, USA · Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA