Bibliography
Every work this repository cites, once: Key, citation, and a stable link.
Shape: references
| Key | Citation | Link |
|---|---|---|
| Adamczewski 2026 | Adamczewski (2026). fc-review-results: an automated audit of formal-conjectures; README and the metadata of run c90271f0fa, 2026-09-11. GitHub repository | https://github.com/tadamcz/fc-review-results |
| Adams 2016 | Adams (2016). Proof auditing formalised mathematics. Journal of Formalized Reasoning 9(1), special issue Twenty years of the QED manifesto | https://doi.org/10.6092/issn.1972-5787/4576 |
| Aitken 1998 | Aitken, Gray, Melham, Thomas (1998). Interactive theorem proving: an empirical study of user activity. Journal of Symbolic Computation 25(2). Read through Ringer 2019 | https://doi.org/10.1006/jsco.1997.0175 |
| Aitken 2000 | Aitken, Melham (2000). An analysis of errors in interactive proof attempts. Interacting with Computers 12(6), 565-586. Read in full through the university | https://doi.org/10.1016/S0953-5438(99)00023-5 |
| Alexeev 2025 | Alexeev (2025-12-05). Formalization of Erdős problems. Guest post, Xena Project blog | https://xenaproject.wordpress.com/2025/12/05/formalization-of-erdos-problems/ |
| Ammanamanchi 2026 | Ammanamanchi, Bhat, Biderman (2026). Faults in our formal benchmarking: dataset defects and evaluation failures in Lean theorem proving. ICML 2026 | arXiv:2606.29493 |
| Anthropic 2026c | Anthropic (2026). Fermat's Last Theorem. Research page; the owner's account of its own work | https://www.anthropic.com/research/formalizing-fermats-last-theorem (archived: https://web.archive.org/web/20261023034152/https://www.anthropic.com/research/formalizing-fermats-last-theorem) |
| Avigad 2019 | Avigad (2019). Learning logic and proof with an interactive theorem prover. In Hanna, Reid, de Villiers (eds.), Proof Technology in Mathematics Research and Teaching, Springer, 277-290 | https://doi.org/10.1007/978-3-030-28483-1_13 |
| Avigad 2024 | Avigad (2024). Mathematics and the formal turn. Bulletin of the AMS 61(2), 225-240; preprint arXiv 2311.00007 | https://doi.org/10.1090/bull/1832 |
| Avigad 2026 | Avigad, Buzzard, Commelin, Degenne, Morrison, Nash, Topaz (2026-10-16). How to formalize all of mathematics. Guest post, Xena Project blog | https://xenaproject.wordpress.com/2026/10/16/how-to-formalize-all-of-mathematics/ |
| Axiom 2026 | Axiom (2026-01-08). From seeing why to checking everything. Research page; the owner's account | https://axiommath.ai/research/from-seeing-why-to-checking-everything (archived: https://web.archive.org/web/20261012022104/https://axiommath.ai/research/from-seeing-why-to-checking-everything/) |
| Azerbayev 2023 | Azerbayev, Piotrowski, Schoelkopf, Ayers, et al. (2023). ProofNet: autoformalizing and formally proving undergraduate-level mathematics. Preprint | arXiv:2302.12433 |
| Bancerek 2017 | Bancerek, Byliński, Grabowski, Korniłowicz, Matuszewski, Naumowicz, Pąk (2017). The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning 61, 9-32 (online November 2017; volume 61 is the 2018 print volume) | https://doi.org/10.1007/s10817-017-9440-6 |
| Barendregt 2005 | Barendregt, Wiedijk (2005). The challenge of computer mathematics. Philosophical Transactions of the Royal Society A 363, 2351-2375 | https://doi.org/10.1098/rsta.2005.1650 |
| Barik 2017 | Barik, Smith, Lubick, Holmes, Feng, Murphy-Hill, Parnin (2017). Do developers read compiler error messages? ICSE 2017, 575-585. Abstract read | https://doi.org/10.1109/ICSE.2017.59 |
| Bartzia 2026 | Bartzia, Beffara, Meyer, Narboux (2026). Proof assistants for undergraduate mathematics education: elements of an a priori analysis. International Journal of Mathematical Education in Science and Technology, 1-44 | https://doi.org/10.1080/0020739x.2026.2632264 |
| Bastani 2025 | Bastani, Bastani, Sungu, Ge, Kabakcı, Mariman (2025). Generative AI without guardrails can harm learning: evidence from high school mathematics. Proceedings of the National Academy of Sciences 122(26), e2422633122. Abstract read (Crossref) | https://doi.org/10.1073/pnas.2422633122 |
| Bastounis 2026 | Bastounis, Circelli, Hansen (2026). Navier-Stokes lost in translation: why Lean verification of AI autoformalisation does not guarantee correct natural language proofs. Preprint | arXiv:2610.08144 |
| Becker 2016 | Becker (2016). An effective approach to enhancing compiler error messages. SIGCSE 2016, 126-131. Abstract read; the open copy refused automated reads | https://doi.org/10.1145/2839509.2844584 |
| Becker 2019 | Becker, Denny, Pettit, Bouchard, Bouvier, Harrington and others (2019). Compiler error messages considered unhelpful: the landscape of text-based programming error message research. ITiCSE Working Group Reports, 177-210. Read in full through the university | https://doi.org/10.1145/3344429.3372508 |
| Becker 2024 | Becker, de Frutos-Fernández, Diedering, van Doorn, Gouëzel and others (2024). A blueprint for the formalization of Carleson's theorem on convergence of Fourier series. Preprint | arXiv:2405.06423 |
| Beckert 2014 | Beckert, Grebing, Böhl (2014). How to put usability into focus: using focus groups to evaluate the usability of interactive theorem provers. UITP 2014, EPTCS 167, 4-13 | https://doi.org/10.4204/EPTCS.167.3 |
| Beckert 2015 | Beckert, Grebing, Böhl (2015). A usability evaluation of interactive theorem provers using focus groups. Software Engineering and Formal Methods workshops, LNCS, 3-19. Not read; its finding is cited through Ringer 2019 | https://doi.org/10.1007/978-3-319-15201-1_1 |
| Binder 2026 | Binder, Lachnitt, Kosaian (2026). Apply2Isar: automatically converting Isabelle/HOL apply-style proofs to structured Isar. Preprint | arXiv:2603.07771 |
| Blanchette 2016 | Blanchette, Kaliszyk, Paulson, Urban (2016). Hammering towards QED. Journal of Formalized Reasoning 9(1). DOI not on Crossref; resolved through doi.org | https://doi.org/10.6092/issn.1972-5787/4593 |
| Böhne 2018 | Böhne, Kreitz (2018). Learning how to prove: from the Coq proof assistant to textbook style. EPTCS 267, 1-18 | https://doi.org/10.4204/eptcs.267.1 |
| Bolan 2025 | Bolan, Breitner, Brox, Carlini, Carneiro and others, with Tao (2025). The Equational Theories Project: advancing collaborative mathematical research at scale. Preprint | arXiv:2512.07087 |
| Bottoni 2025 | Bottoni, Cattaneo, Saçıkara (2025). Teaching "Foundations of Mathematics" with the Lean theorem prover. Preprint | arXiv:2501.03352 |
| Browning 2026 | Browning, Hristova, Ledvinka, Springer, et al. (2026). A dataset of formalised theorem statements from the Annals of Mathematics. AI-MATH workshop, NeurIPS 2026 | arXiv:2610.18301 |
| Buçinca 2021 | Buçinca, Malaya, Gajos (2021). To trust or to think: cognitive forcing functions can reduce overreliance on AI in AI-assisted decision-making. Proceedings of the ACM on Human-Computer Interaction 5(CSCW1), 1-21 | https://doi.org/10.1145/3449287 |
| Buzzard 2024 | Buzzard (2024-12-11). Fermat's Last Theorem: how it's going. Xena Project blog | https://xenaproject.wordpress.com/2024/12/11/fermats-last-theorem-how-its-going/ |
| Buzzard 2025 | Buzzard (2025-10-22). Formal or not formal? That is the question in AI for theorem proving. Xena Project blog | https://xenaproject.wordpress.com/2025/10/22/formal-or-not-formal-that-is-the-question-in-ai-for-theorem-proving/ |
| Buzzard 2026a | Buzzard (2026-09-04). FLT: Anthropic has beaten me to it. Xena Project blog; read by both sides, and again by the maintainer's session | https://xenaproject.wordpress.com/2026/09/04/flt-anthropic-has-beaten-me-to-it/ |
| Buzzard 2026b | Buzzard (2026-08-13). The Annals Challenge. Xena Project blog | https://xenaproject.wordpress.com/2026/08/13/the-annals-challenge/ |
| Buzzard 2026c | Buzzard (2026-10-01). To grieve, or not to grieve? Xena Project blog | https://xenaproject.wordpress.com/2026/10/01/to-grieve-or-not-to-grieve/ |
| Buzzard 2026d | Buzzard (2026-07-20). Human mathematicians are being outcounterexampled. Xena Project blog | https://xenaproject.wordpress.com/2026/07/20/human-mathematicians-are-being-outcounterexampled/ |
| Carl 2020 | Carl (2020). Using automated theorem provers for mistake diagnosis in the didactics of mathematics. Preprint | arXiv:2002.05083 |
| Carl 2020b | Carl (2020). Automatized evaluation of formalization exercises in mathematics. Preprint | arXiv:2006.01800 |
| Carl 2022 | Carl, Lorenzen, Schmitz (2022). Natural language proof checking in introduction to proof classes: first experiences with Diproche. ThEdu'21, EPTCS 354, 59-70 | https://doi.org/10.4204/EPTCS.354.5 |
| Carl 2024 | Carl (2024). Improving the Diproche CNL through autoformalization via large language models. ThEdu'23, EPTCS 400, 44-58 | https://doi.org/10.4204/EPTCS.400.4 |
| Carneiro 2024 | Carneiro (2024). Lean4Lean: verifying a typechecker for Lean, in Lean. Preprint | arXiv:2403.14064 |
| Carter 2013 | Carter, Monks (2013). Lurch: a word processor that can grade students' proofs. CICM 2013 Workshops and Work in Progress, CEUR-WS 1010, paper 4 | https://ceur-ws.org/Vol-1010/paper-04.pdf |
| Chen 2025 | Chen, Wu, Chen, et al. (2025). ReForm: reflective autoformalization with prospective bounded sequence optimization. ICLR 2026 | arXiv:2510.24592 |
| Chen 2026b | Chen, Marwaha, Lu, Yuen, Peng (2026). Prove2Me: an open collaborative platform for scaling math formalization. Preprint | arXiv:2608.28433 |
| Chung 2026 | Chung, Cai, Li, Yin, Agarwal and others, with Arora (2026). Goedel-Architect: streamlining formal theorem proving with blueprint generation and refinement. Preprint | arXiv:2606.06468 |
| CMU L3 2025 | cmu-l3 (2025, news to October 2025, read 2026). LLMLean: LLMs and Lean for tactic suggestions and proof completion. GitHub repository README | https://github.com/cmu-l3/llmlean |
| Collins 2024 | Collins, Jiang, Frieder, Wong, Zilka, Bhatt, Lukasiewicz, Wu, Tenenbaum, Hart, Gowers, Li, Weller, Jamnik (2024). Evaluating language models for mathematics through interactions. PNAS 121(24); preprint arXiv 2306.01694 | https://doi.org/10.1073/pnas.2318124121 |
| Collins 2026 | Collins, Frieder, Bayer, Loader, Lim, Song, Zaiser, Zhou, Li, Looi, Tenenbaum, Bhatt, Weller, Hernandez-Orallo, Freer, Chen, Sucholutsky (2026). Human agency in initial human-AI proof formalization workflows. Preprint | arXiv:2606.04273 |
| Commelin 2024 | Commelin, Topaz (2024). Abstraction boundaries and spec driven development in pure mathematics. Bulletin of the AMS 61, 241-255. Read in the preprint | https://doi.org/10.1090/bull/1831 (arXiv:2309.14870) |
| Commelin 2026 | Commelin, Jamnik, Ochigame, Taelman, Venkatesh (2026). Shaping the future of mathematics in the age of AI. Preprint | arXiv:2603.24914 |
| Corbineau 2008 | Corbineau (2008). A declarative language for the Coq proof assistant. TYPES 2007, LNCS 4941, 69-84. Title and venue only | https://doi.org/10.1007/978-3-540-68103-8_5 |
| Coscoy 1995 | Coscoy, Kahn, Théry (1995). Extracting text from proofs. TLCA 1995, LNCS 902, 109-123. Title and venue only | https://doi.org/10.1007/BFb0014048 |
| Cramer 2010 | Cramer, Fisseni, Koepke, Kühlwein, Schröder, Veldman (2010). The Naproche project: controlled natural language proof checking of mathematical texts. CNL 2009, LNCS 5972, 170-186. Title and venue only | https://doi.org/10.1007/978-3-642-14418-9_11 |
| Cramer 2013 | Cramer (2013). Proof-checking mathematical texts in controlled natural language. Doctoral dissertation, Universität Bonn | https://hdl.handle.net/20.500.11811/5780 |
| Dai 2026 | Dai, Yan, Lin (2026). The signal-coverage matrix: stratifying type and semantic errors in statement autoformalization. Preprint | arXiv:2606.28013 |
| DeepSeek 2025 | DeepSeek (2025-04-30). DeepSeek-Prover-V2-671B. Model card; the owner's results | https://huggingface.co/deepseek-ai/DeepSeek-Prover-V2-671B |
| De Lon 2021 | De Lon, Koepke, Lorenzen, Marti, Schütz, Wenzel (2021). The Isabelle/Naproche natural language proof assistant. CADE-28, LNCS 12699, 614-624 | https://doi.org/10.1007/978-3-030-79876-5_36 |
| Deng 2026 | Deng, Farber, Narasimha, Sivakumar, Xue (2026). Fix, not just resample: bounded compiler-guided repair in Lean 4. Preprint | arXiv:2610.26942 |
| Denny 2014 | Denny, Luxton-Reilly, Carpenter (2014). Enhancing syntax error messages appears ineffectual. ITiCSE 2014, 273-278. Abstract read | https://doi.org/10.1145/2591708.2591748 |
| Denny 2020 | Denny, Prather, Becker (2020). Error message readability and novice debugging performance. ITiCSE 2020, 480-486. Abstract read | https://doi.org/10.1145/3341525.3387384 |
| Denny 2021 | Denny, Prather, Becker, Mooney, Homer, Albrecht, Powell (2021). On designing programming error messages for novices: readability and its constituent factors. CHI 2021. Abstract read | https://doi.org/10.1145/3411764.3445696 |
| De Toffoli 2024 | De Toffoli (2024). Proofs for a price: tomorrow's ultra-rigorous mathematical culture. Bulletin of the AMS 61 | https://doi.org/10.1090/bull/1823 |
| Dressler 2026 | Dressler (undated, read 2026). lean-lsp-mcp: Lean theorem prover MCP. GitHub repository README | https://github.com/oOo0oOo/lean-lsp-mcp |
| Erdős DB 2026 | Tao and contributors (read 2026). erdosproblems database: README and summary statistics, generated 2026-10. GitHub repository | https://github.com/teorth/erdosproblems/blob/main/STATISTICS.md |
| Erdős-wiki 2026 | erdosproblems contributors (2026). AI contributions to Erdős problems. Wiki page, data as of 2026-06-30 (may move) | https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems |
| Eremondi 2019 | Eremondi, Swierstra, Hage (2019). A framework for improving error messages in dependently-typed languages. Open Computer Science 9(1), 1-32 | https://doi.org/10.1515/comp-2019-0001 |
| Fan 2025 | Fan, Tang, Le, Shen, Tan, Zhao, Shen, Li, Gašević (2025). Beware of metacognitive laziness: effects of generative artificial intelligence on learning motivation, processes, and performance. British Journal of Educational Technology 56, 489-530 | https://doi.org/10.1111/bjet.13544 |
| Feng 2026 | Feng, Mao, Arekar, Zhong, Huang, Si, Li (2026). Aligning faithfulness for theory-scale autoformalization: FaithAlign. Preprint | arXiv:2610.18498 |
| Firsching 2026 | Firsching, Lezeau, Mercuri, Horváth, et al. (2026). Formal Conjectures: an open and evolving benchmark for verified discovery in mathematics. Preprint | arXiv:2605.13171 |
| First 2023 | First, Rabe, Ringer, Brun (2023). Baldur: whole-proof generation and repair with large language models. ESEC/FSE 2023 | https://doi.org/10.1145/3611643.3616243 (arXiv:2303.04910) |
| Fuller 2014 | Fuller, Weber, Mejía-Ramos, Rhoads, Samkoff (2014). Comprehending structured proofs. JIEEM 7(1). | https://openalex.org/W2184046398 |
| Gadgil 2026 | Gadgil (undated, read 2026). LeanAide: AI-based tools for the Lean theorem prover. GitHub repository README | https://github.com/siddhartha-gadgil/LeanAide |
| Ganesalingam 2017 | Ganesalingam, Gowers (2017). A fully automatic theorem prover with human-style output. Journal of Automated Reasoning 58(2), 253-291 (online 2016). Read in the preprint, whose earlier title says problem solver for theorem prover | https://doi.org/10.1007/s10817-016-9377-1 (arXiv:1309.4501) |
| Gao 2025 | Gao, Wang, Jiang, et al. (2025). Herald: a natural language annotated Lean 4 dataset. ICLR 2025 | arXiv:2410.10878 |
| Garousi 2019 | Garousi, Felderer, Mäntylä (2019). Guidelines for including grey literature and conducting multivocal literature reviews in software engineering. Information and Software Technology 106, 101-121 | https://doi.org/10.1016/j.infsof.2018.09.006 |
| GasStationManager 2026 | GasStationManager (undated, read 2026). LeanTool: helping LLMs be better at Lean. GitHub repository README | https://github.com/GasStationManager/LeanTool |
| GitHub 2026e | GitHub (read 2026-10-29). Public metadata (stars, last push) of the repositories named in review.md, through the unauthenticated API: 23 repositories and one repository search by the formal side, and LeanDojo by the human side. The reviewers' count | https://api.github.com/repos/PatrickMassot/leanblueprint (one of the calls) |
| GitHub 2026f | GitHub (read 2026-10-29). Formal Conjectures issues and pull requests by the labels misformalization and ai-audit, and their states, through GitHub search. The human side's count, checked again at the audit the same day | https://github.com/google-deepmind/formal-conjectures/issues?q=label%3Amisformalization |
| GitHub 2026g | GitHub (read 2026-10-29). PNT+ pull requests with and without the ai label, by state, through GitHub search. The human side's count | https://github.com/AlexKontorovich/PrimeNumberTheoremAnd/pulls?q=label%3Aai |
| GitHub 2026i | GitHub (read 2026-10-29). PNT+ repository at commit 127b50e (2026-10-20): the workflow files under .github/workflows and lakefile.toml, through the unauthenticated public API; no comparator step, challenge file or formalization.yaml in the tree. The reviewer's read | https://github.com/AlexKontorovich/PrimeNumberTheoremAnd/tree/127b50e33f6033e2147921167a117af96d9ba4ea/.github/workflows |
| Gleirscher 2023 | Gleirscher, Sachtleben, Peleska (2023). Qualification of proof assistants, checkers, and generators: where are we and what next? Science of Computer Programming, article 102930; preprint arXiv 2302.09546 | https://doi.org/10.1016/j.scico.2023.102930 |
| Gloeckle 2026 | Gloeckle, Rammal, Arnal, Munos, Cabannes, Synnaeve, Hayat (2026). Automatic textbook formalization. Preprint; the owners' account | arXiv:2604.03071 |
| Goddard 2012 | Goddard, Roudsari, Wyatt (2012). Automation bias: a systematic review of frequency, effect mediators, and mitigators. Journal of the American Medical Informatics Association 19(1), 121-127 | https://doi.org/10.1136/amiajnl-2011-000089 |
| Goedel-LM 2025 | Goedel-LM (2025-07-14). Goedel-Prover-V2-32B. Model card; the owner's results | https://huggingface.co/Goedel-LM/Goedel-Prover-V2-32B |
| Gonthier 2013 | Gonthier, Asperti, Avigad, Bertot, Cohen, Garillot, Le Roux, Mahboubi, and others (2013). A machine-checked proof of the odd order theorem. ITP 2013, LNCS 7998, 163-179 | https://doi.org/10.1007/978-3-642-39634-2_14 |
| Google 2025 | Cohen-Addad, Woodruff (2025, updated 2026-05-18). Gemini-backed Paper Assistant Tool provides automated feedback for theoretical computer scientists at STOC 2026. Google Research blog; the owner's account of its own tool (may move) | https://research.google/blog/gemini-provides-automated-feedback-for-theoretical-computer-scientists-at-stoc-2026/ |
| Google DeepMind 2026 | Google DeepMind and the Formal Conjectures authors (undated, read 2026). formal-conjectures: README and contributing guide. GitHub repository; read by both sides | https://github.com/google-deepmind/formal-conjectures |
| Gopinathan 2023 | Gopinathan, Keoliya, Sergey (2023). Mostly automated proof repair for verified libraries. PACMPL 7(PLDI), 25-49 | https://doi.org/10.1145/3591221 |
| Grabowski 2010 | Grabowski, Korniłowicz, Naumowicz (2010). Mizar in a nutshell. Journal of Formalized Reasoning 3(2). DOI not on Crossref; resolved through doi.org | https://doi.org/10.6092/issn.1972-5787/1980 |
| Gui 2026 | Gui, Yang, Shi (2026). Evaluating the robustness of proof autoformalization in Lean 4. Preprint | arXiv:2606.14867 |
| Guo 2026b | Guo, Patel, Mehta, Kothari, Lu, Voss, Bhattacharyya, Donovan, Hartmann, Ranade (2026). LeanSide: a formally verified co-reasoning system for natural-language proofs. Preprint | arXiv:2610.00760 |
| Hales 2017 | Hales, Adams, Bauer, Dang, Harrison, Hoang, Kaliszyk, Magron, and others (2017). A formal proof of the Kepler conjecture. Forum of Mathematics, Pi 5, e2 | https://doi.org/10.1017/fmp.2017.1 |
| Hales 2026 | Hales (2026-10-09). What mathematicians should know about the Lean theorem prover: questions of reliability and AI. Guest post on Tao's blog; read by both sides, and again at the merge | https://terrytao.wordpress.com/2026/10/09/what-mathematicians-should-know-about-the-lean-theorem-proverquestions-of-reliability-and-ai/ |
| Han 2026 | Han, Kim, Park, et al. (2026). SHADOWBENCH: toward reliable automatic evaluation of semantic alignment in autoformalization. EMNLP 2026 | arXiv:2608.29270 |
| Hanna 2021 | Hanna, Yan (2021). Opening a discussion on teaching proof with automated theorem provers. For the Learning of Mathematics 41(3), 42-46. Paywalled; read through Tran Minh 2025 | https://www.jstor.org/stable/27091220 |
| Hanna 2024 | Hanna, Larvor, Yan (2024). Using the proof assistant Lean in undergraduate mathematics classrooms. ZDM Mathematics Education 56, 1517-1529. Read in the authors' copy | https://doi.org/10.1007/s11858-024-01577-9 |
| Harmonic 2024 | Harmonic (2024-07-09). One month in: a new SOTA on MiniF2F and more. Company news page; the owner's results | https://harmonic.fun/news/minif2f/ (archived: https://web.archive.org/web/20260521005251/https://www.harmonic.fun/news/minif2f/) |
| Harrison 1998 | Harrison (1998). Proof style. TYPES 1996, LNCS 1512, 154-172 | https://doi.org/10.1007/BFb0097791 |
| Harrison 2006 | Harrison (2006). Towards self-verification of HOL Light. IJCAR 2006, LNCS 4130, 177-191. Paywalled | https://doi.org/10.1007/11814771_17 |
| Hattori 2025 | Hattori, Matsuzaki, Fujiwara (2025). Natural language translation of formal proofs through informalization of proof steps and recursive summarization along proof structure. INLG 2025 | arXiv:2509.09726 |
| Hentschel 2016 | Hentschel, Hähnle, Bubel (2016). An empirical evaluation of two user interfaces of an interactive program verifier. ASE 2016, 403-413. Read in full through the university | https://doi.org/10.1145/2970276.2970303 |
| Hu 2025 | Hu, Zhou, Grechuk, Tyukin (2025). StepProof: step-by-step verification of natural language mathematical proofs. Preprint | arXiv:2506.10558 |
| Hubert 2025 | Hubert, Mehta, Sartran, Horváth, Žužić, Wieser, et al. (2025). Olympiad-level formal mathematical reasoning with reinforcement learning. Nature, 607-613 | https://doi.org/10.1038/s41586-025-09833-y |
| Iannone 2023 | Iannone, Thoma (2023). Interactive theorem provers for university mathematics: an exploratory study of students' perceptions. International Journal of Mathematical Education in Science and Technology 55, 2622-2644 | https://doi.org/10.1080/0020739x.2023.2178981 |
| Iannone 2025a | Iannone, Marasingha, Thoma (2025). Teaching mathematics with Lean: interactive theorem provers in the classroom. Notices of the AMS 72. Not reached: the publisher's page asked for a browser check | https://doi.org/10.1090/noti3184 |
| Iannone 2025b | Iannone, Thoma (2025). "It feels like sort of cheating ...": mathematics students coding proofs with an interactive theorem prover. Digital Experiences in Mathematics Education 12, 366-392 | https://doi.org/10.1007/s40751-025-00193-w |
| Ilin 2026 | Ilin, Nugent (2026). Sorries are not the hard part: an expert-review case study of a semi-autonomous formalization. Preprint | arXiv:2606.13925 |
| Isabelle 2026 | Isabelle developers (undated, read 2026). Overview. Isabelle website | https://isabelle.in.tum.de/overview.html |
| Ishii 2014 | Ishii, Asai (2014). Report on a user test and extension of a type debugger for novice programmers. TFPIE 2014, EPTCS 170, 1-18 | https://doi.org/10.4204/EPTCS.170.1 |
| Jiang 2023c | Jiang, Welleck, Zhou, Li, Liu, Jamnik, Lacroix, Wu, Lample (2023). Draft, sketch, and prove: guiding formal theorem provers with informal proofs. ICLR 2023 | arXiv:2210.12283 |
| Kalyuga 2003 | Kalyuga, Ayres, Chandler, Sweller (2003). The expertise reversal effect. Educational Psychologist | https://doi.org/10.1207/S15326985EP3801_4 |
| Kamoi 2024 | Kamoi, Zhang, Zhang, Han, Zhang (2024). When Can LLMs Actually Correct Their Own Mistakes? A Critical Survey of Self-Correction of LLMs. Transactions of the ACL 12. | doi:10.1162/tacl_a_00713 |
| Kerjean 2022 | Kerjean, Le Roux, Massot, Mayero, Mesnil, Modeste, Narboux, Rousselin (2022). Utilisation des assistants de preuves pour l'enseignement en L1. La Gazette de la Société Mathématique de France 174, 35-55. Read through Ouvrier-Buffet 2026 | https://hal.science/hal-03979238 |
| Kim 2026b | Kim, Poiroux, Bosselut (2026). Do LLMs game formalization? Evaluating faithfulness in logical reasoning. VerifAI-2 workshop, ICLR 2026, non-archival | arXiv:2604.19459 |
| Kirov 2026a | Kirov (2026-02-08). Leaning on AI. Blog | https://rkirov.github.io/posts/lean5/ |
| Kirov 2026b | Kirov (2026-03-08). Human intuition, AI formalization: a real analysis case study. Blog | https://rkirov.github.io/posts/lean6/ |
| Klowden 2026 | Klowden, Tao (2026). Mathematical methods and human thought in the age of AI. Preprint | arXiv:2603.26524 |
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| Krishnamurthi 2026 | Krishnamurthi, Flatt (2026). Type-error ablation and AI coding agents. Preprint | arXiv:2606.01522 |
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| Lean-community 2026 | Lean community (undated, read 2026). lean4game documentation, file create_game.md, section on hints | https://github.com/leanprover-community/lean4game/blob/main/doc/create_game.md |
| LeanDojo 2026 | lean-dojo (undated, read 2026). Lean Copilot: LLMs as copilots for theorem proving in Lean. GitHub repository README | https://github.com/lean-dojo/LeanCopilot |
| Lean FRO 2025 | Lean FRO (2025-08-14). Lean 4.22.0 release notes, section Named errors with explanations. The Lean language reference | https://lean-lang.org/doc/reference/4.35.0/releases/v4.22.0/ |
| Lean FRO 2026a | Lean FRO (undated, read 2026). Comparator: a trustworthy judge for Lean proofs. GitHub repository README; read by both sides | https://github.com/leanprover/comparator |
| Lean FRO 2026b | Lean FRO (2026-10-12). Lean 4.35.0 release notes. The Lean language reference | https://lean-lang.org/doc/reference/4.35.0/releases/v4.35.0/ |
| Lean FRO 2026c | Lean FRO (read 2026). Error explanations, index and the page on unknownIdentifier. The Lean language reference | https://lean-lang.org/doc/reference/4.35.0/Error-Explanations/ |
| Lean FRO 2026d | Lean FRO (read 2026). Tactic reference: exact?, apply?, simp?. The Lean language reference | https://lean-lang.org/doc/reference/4.35.0/Tactic-Proofs/Tactic-Reference/ |
| Lee 2025 | Lee, Sarkar, Tankelevitch, Drosos, Rintel, Banks, Wilson (2025). The impact of generative AI on critical thinking: self-reported reductions in cognitive effort and confidence effects from a survey of knowledge workers. CHI 2025, 1-22 | https://doi.org/10.1145/3706598.3713778 |
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| Lessing 2025 | Lessing, Ogbonnaya (2025). Reasoning and proof in mathematics education: a systematic literature review. Discover Education 5 | https://doi.org/10.1007/s44217-025-01016-1 |
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| Li 2024c | Li, Wu, Li, Wei, et al. (2024). Autoformalize mathematical statements by symbolic equivalence and semantic consistency. NeurIPS 2024 | arXiv:2410.20936 |
| Li 2026b | Li, Ammanamanchi, Bhat, Jamdar, Lin, Biderman (2026). SemantEq: faithful bidirectional equivalence of formal statements. Preprint | arXiv:2610.32919 |
| Liang 2024c | Liang, Zhang, Cao, Wang, Ding, Yang, Vodrahalli, He, Smith, Yin, McFarland, Zou (2024). Can large language models provide useful feedback on research papers? A large-scale empirical analysis. NEJM AI 1(8); read in the preprint, arXiv 2310.01783 (v1) | https://doi.org/10.1056/AIoa2400196 |
| Lin 2025 | Lin, Tang, Lyu, Wu, et al. (2025). Goedel-Prover: a frontier model for open-source automated theorem proving. Preprint | arXiv:2502.07640 |
| Lin 2025b | Lin, Tang, Lyu, Yang, Chung and others, with Jin (2025). Goedel-Prover-V2: scaling formal theorem proving with scaffolded data synthesis and self-correction. Preprint; the model card is Goedel-LM 2025 | arXiv:2508.03613 |
| Liu 2025b | Liu, Zheng, Lu, Cao, Yan (2025). Rethinking and improving autoformalization: towards a faithful metric and a dependency retrieval-based approach. ICLR 2025 | https://dblp.org/rec/conf/iclr/LiuZLCY25 |
| Liu 2025c | Liu, Zhu, Liu, et al. (2025). Generalized tree edit distance (GTED): a faithful evaluation metric for statement autoformalization. AI4Math workshop, ICML 2025 | arXiv:2507.07399 |
| Liu 2025d | Liu, Bao, Zhang, Liu, Chen, Liu, Jiao, Luo (2025). ATLAS: autoformalizing theorems through lifting, augmentation, and synthesis of data. NeurIPS 2025 | arXiv:2502.05567 |
| Lu 2024 | Lu, Delaware, Zhang (2024). Proof automation with large language models. ASE 2024, 1509-1520 | https://doi.org/10.1145/3691620.3695521 (arXiv:2409.14274) |
| Lu 2025 | Lu, Wan, Huang, Xiong, et al. (2025). FormalAlign: automated alignment evaluation for autoformalization. ICLR 2025 | arXiv:2410.10135 |
| Lurch 2026 | Lurch developers (undated, read 2026). Lurch Plus: proof verification with Lurch. Project site | https://lurch.plus/ (archived: https://web.archive.org/web/20260714221045/https://lurch.plus/) |
| LZ 2025a | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic Guarding against exploits in AI code, 37 messages, to 2025-08-02 (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/Guarding.20against.20exploits.20in.20AI.20code.html |
| LZ 2025b | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic Danger of Autoformalizers (e.g. Gauss), 54 messages, 2025-09-11 to 2025-11-07; met by both sides, scored by the human side (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/Danger.20of.20Autoformalizers.20(e.2Eg.2E.20Gauss).html |
| LZ 2025c | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic A (semi)-autoformalization challenge: 650=>448, 27 messages, 2025-05-16 to 2026-01-15 (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/A.20(semi)-autoformalization.20challenge.3A.20650.3D.3E448.html |
| LZ 2025d | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic on a Lean skill file for Anthropic's coding agent, 34 messages, to 2026-01-30; the exact title is in the link (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/Lean.20Skill.20for.20Claude.20Code.html |
| LZ 2025e | Lean Zulip archive (2025). general, topic TAIL - Template for AI generated Lean proofs, 10 messages, to 2025-12-31 (may move) | https://leanprover-community.github.io/archive/stream/113488-general/topic/TAIL.20-.20Template.20for.20AI.20generated.20Lean.20proofs.html |
| LZ 2025f | Lean Zulip archive (2025). Lean for teaching, topic Teaching with Verbose Lean, 54 messages, 2025-12-06 to 2026-02-26 (may move) | https://leanprover-community.github.io/archive/stream/187764-Lean-for-teaching/topic/Teaching.20with.20Verbose.20Lean.html |
| LZ 2025g | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic Wrong informal proof by AI, 15 messages, 2025-09-26 (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/Wrong.20informal.20proof.20by.20AI.html |
| LZ 2025h | Lean Zulip archive (2025). Machine Learning for Theorem Proving, topic theoretical computer science / STOC automated reviews, 4 messages, 2025-10-27 (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/theoretical.20computer.20science.20.2F.20STOC.20automated.20reviews.html |
| LZ 2026a | Lean Zulip archive (2026). general, topic AI Lean definitions, 33 messages, to 2026-02-08 (may move) | https://leanprover-community.github.io/archive/stream/113488-general/topic/AI.20Lean.20definitions.html |
| LZ 2026b | Lean Zulip archive (2026). Machine Learning for Theorem Proving, topic Understanding what Aristotle is formalizing, 2026-01-29; read by the formal side, not scored (may move) | https://leanprover-community.github.io/archive/stream/219941-Machine-Learning-for-Theorem-Proving/topic/Understanding.20what.20Aristotle.20is.20formalizing.html |
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| Massot 2024 | Massot (2024). Teaching mathematics using Lean and controlled natural language. ITP 2024, LIPIcs 309, paper 27 | https://doi.org/10.4230/LIPIcs.ITP.2024.27 |
| Massot 2026 | Massot (undated, read 2026). leanblueprint: a plasTeX plugin and command-line tool for Lean blueprints. GitHub repository; held by mathematical-writing | https://github.com/PatrickMassot/leanblueprint |
| Massot 2026b | Massot (undated, read 2026). Verbose Lean 4: README, examples and basic configuration guide. GitHub repository; read by both sides, and the README again at the merge | https://github.com/PatrickMassot/verbose-lean4 |
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| Mathlib 2026 | The mathlib community (undated, read 2026). Documentation style (contributor guide). Held by mathematical-writing | https://leanprover-community.github.io/contribute/doc.html |
| Mathlib 2026b | The mathlib community (read 2026-10-29). Mathlib statistics, section Counts. The formal side's count | https://leanprover-community.github.io/mathlib_stats.html |
| Mathlib Initiative 2026 | Mathlib Initiative (undated, read 2026). formalization.yaml: a self-reporting standard for formalization projects. README and template | https://github.com/mathlib-initiative/formalization.yaml |
| MathOverflow 2026 | Asker and answerers (2026-09-29). Formalization advice for mathematicians. MathOverflow question 515632; top answer by the user shown as Timothy Chow | https://mathoverflow.net/questions/515632 |
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| Mohammad 2026 | Mohammad, Sheikh (2026). The faithfulness gap: certifying semantic equivalence between natural-language and formal mathematical statements. Preprint | arXiv:2606.16541 |
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| Naproche 2026 | Naproche developers (undated, read 2026). Naproche project site, and the tutorial TUTORIAL.ftl.tex | https://naproche.github.io/ ; https://github.com/naproche/naproche/blob/master/math/TUTORIAL.ftl.tex |
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| Numina 2025 | Project Numina (2025-04-13). Kimina-Autoformalizer-7B. Model card | https://huggingface.co/project-numina/Kimina-Autoformalizer-7B |
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| Ospanov 2025b | Ospanov, Farnia, Yousefzadeh (2025). APOLLO: automated LLM and Lean collaboration for advanced formal reasoning. NeurIPS 2025 | arXiv:2505.05758 |
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| PASE 2022b | Asker and answerers (2022). Examples of new mathematics discovered through formalization? Proof Assistants Stack Exchange question 129 | https://proofassistants.stackexchange.com/q/129 |
| PASE 2024 | Asker and answerers (2024-06-07). Tools like leanblueprint for other proof assistants, especially Coq? Proof Assistants Stack Exchange question 4035 | https://proofassistants.stackexchange.com/questions/4035 |
| PASE 2026 | Asker and answerers (2026-07-25). How can I evaluate the semantic equivalence of Lean statements generated by an autoformalization model? Proof Assistants Stack Exchange question 6608; accepted answer by the user shown as Jason Rute, who marks one mention of a prover as a plug | https://proofassistants.stackexchange.com/questions/6608 |
| Patel 2025 | Patel, Bhattacharyya, Lu, Mehta, Voss, Norouzi, Ranade (2025). LeanTutor: towards a verified AI mathematical proof tutor. Preprint | arXiv:2506.08321 |
| Paulson 2026 | Paulson (2026-01-15). Broken proofs and broken provers. Machine Logic blog | https://lawrencecpaulson.github.io/2026/01/15/Broken_proofs.html |
| Peng 2025 | Peng, Yao, Ma, et al. (2025). CriticLean: critic-guided reinforcement learning for mathematical formalization. Preprint | arXiv:2507.06181 |
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| PostHog 2026 | PostHog (read 2026). Vale and prose linting. Company handbook (may move) | https://posthog.com/handbook/wizard-and-docs/vale |
| Prather 2017 | Prather, Pettit, McMurry, Peters, Homer, Simone, Cohen (2017). On novices' interaction with compiler error messages: a human factors approach. ICER 2017, 74-82. Abstract read | https://doi.org/10.1145/3105726.3106169 |
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| Santos 2023 | Santos, Prasad, Becker (2023). Always provide context: the effects of code context on programming error message enhancement. CompEd 2023, 147-153. Abstract read | https://doi.org/10.1145/3576882.3617909 |
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