https://jaalonso.github.io/vestigium/esContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <img alt="Creative Commons License BY-NC-SA" style="border-width:0; margin-bottom:12px;" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"></a>Thu, 01 Oct 2026 12:59:59 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/vestigium/posts/2026/09/28-readings_shared_09-28-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 28 September 2026 are:</p> <ul> <li><a href="https://frenzymath.com/blog/lavertable/">A formalization at large (Laver function in Lean)</a>. ~ Leheng Chen, Bin Dong, Jiedong Jiang, Zhiyuan Zhang. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2509.19632">Formalization of Harder-Narasimhan theory</a>. ~ Yijun Yuan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.26806v1">Gödel's and Scott's variants of the ontological argument in Lean 4</a>. ~ Christoph Benzmüller. #LeanProver #ITP #AI4Math</li> <li><a href="https://hal.science/hal-05746185/document">Formalization of Langlands’s first main lemma for local epsilon factors</a>. ~ Fukuhiro Ueda. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/stormj-UH/spivak-lean">Lean 4 formalization of Michael Spivak's "Calculus" (covering both the 3rd and 4th editions)</a>. ~ Jon-Erik G. Storm. #LeanProver #ITP #AI4Math</li> <li><a href="https://aitp-conference.org/2026/abstract/AITP_2026_paper_6.pdf">Visual Lean: An accessible interface for Lean 4 proofwriting</a>. ~ Autumn Mapes. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2609.20876">A formalisation of a special case of the union-closed conjecture in Isabelle/HOL</a>. ~ Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2609.20876v1">A formalisation of a special case of the union-closed conjecture in Isabelle/HOL</a>. ~ Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/DPDA_Complement_HU.html">Deterministic context-free languages are closed under complementation (Hopcroft and Ullman)</a>. ~ Kaan Taskin, Tobias Nipkow. #IsabelleHOL #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s00605-025-02078-x">Notes on Gödel’s and Scott’s variants of the ontological argument</a>. ~ Christoph Benzmüller, Dana Scott. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Teichmuller_Tukey_Lemma.html">The Teichmüller-Tukey lemma (in Isabelle/HOL)</a>. ~ Vithor Lindermann Kraisch, Luiz Gustavo Cordeiro. #IsabelleHOL #ITP #Math</li> <li><a href="https://fmcad.org/FMCAD26/vstte/preprints/paper-1.pdf">Verified QBF solving in Isabelle/HOL: a trustworthy baseline for mechanised quantified boolean reasoning</a>. ~ Axel Bergström, Tjark Weber. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2511.20550">Verifying numerical methods with Isabelle/HOL</a>. ~ Dustin Bryant, Jonathan Julian Huerta y Munive, Simon Foster. #IsabelleHOL #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2511.20550">Verifying numerical methods with Isabelle/HOL</a>. ~ Dustin Bryant, Jonathan Julian Huerta y Munive, Simon Foster. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Joinable_BST_Work_Bounds.html">Work bounds for strongly joinable balanced binary search trees (in Isabelle/HOL)</a>. ~ Marco Haucke. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2609.25561">Formal verification of tilt estimation using the Rocq prover</a>. ~ Reynald Affeldt, Lynda Bentoucha, Yoshihiro Ishiguro, Holger Thies. #RocqProver #ITP</li> <li><a href="https://members.loria.fr/DLarchey/files/papers/ARQNL26.pdf">The logic of Bunched implications is undecidable, mechanized in Rocq</a>. ~ Dominique Larchey-Wendling. #Rocq #ITP</li> <li><a href="https://cbsoft.sbc.org.br/2026/data/papers/sblp/A%20Mechanized%20Formalization%20of%20MicroKanren%20in%20Agda.pdf">A mechanized formalization of MicroKanren in Agda</a>. ~ Eduardo Henke, Rodrigo Ribeiro. #Agda #ITP</li> <li><a href="https://gilkalai.wordpress.com/2026/09/22/be-a-grothendieck-on-ai-and-mathematics/">"Be a Grothendieck!" — On AI and mathematics</a>. ~ Gil Kalai. #AI4Math</li> <li><a href="https://ai.math.ms/en/research/">AI and mathematical research</a>. ~ Claudia Alfes, Thomas Nikolaus, Andreas Thom. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/24/all-the-math-we-will-not-see/">All the math we will not see</a>. ~ Alessandro Della Corte. #AI4Math</li> <li><a href="https://theconversation.com/el-miedo-al-lado-oscuro-de-la-ia-en-la-comunidad-matematica-292151">El miedo al lado oscuro de la IA en la comunidad matemática</a>. ~ Anabel Forte Deltell. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/23/navigating-the-ai-crisis-a-humble-guide-for-students/">Navigating the AI crisis: a humble guide for students</a>. ~ Tarik Aougab. #AI4Math</li> <li><a href="https://youtu.be/TcEefrWrddA">New math + AI developments in fluid mechanics</a>. ~ Javier Gomez-Serrano. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/22/proofforum-keeping-ai-generated-mathematics-human/">ProofForum: Keeping AI-generated mathematics human</a>. ~ Marco Trombetti. #AI4Math</li> <li><a href="https://cmsa.fas.harvard.edu/aimathphd_summit/">Summit on PhD math education in the age of AI</a>. #AI4Math</li> <li><a href="https://www.oswaldosrm.com/single-post/the-scientific-debate-over-ai-in-mathematics">The scientific debate over AI in mathematics</a>. ~ Oswaldo Royett. #AI4Maht</li> <li><a href="https://theconversation.com/realmente-ha-resuelto-openai-el-problema-matematico-del-milenio-de-navier-stokes-291596">¿Realmente ha resuelto OpenAI el "problema matemático del milenio" de Navier-Stokes? ~ Víctor Javier Llorente Lázaro</a>. #AI4Math</li> <li><a href="https://youtu.be/60kHy3vDvU8">Enscryerypt: Encrypt and decrypt files with Scryer Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://eleccionobarbarie.com/2026/09/23/que-son-los-numeros-reales-ii/">¿Qué son los números reales? II</a>. ~ Esteban Martínez. #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/08/09-desigualdad_triangular_inversa/">#Calculemus: Demostraciones con Lean 4 del Reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/08/09-dos_n_mas_nueve_acotado_por_potencia/">#Calculemus: Demostraciones con Lean 4 del Reto 14 (Para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/08/18-existe_k_cuadrado_acotado_por_potencia_de_dos/">#Calculemus: Demostraciones con Lean 4 del Reto 15 (Existe un k ∈ ℕ tal que, para todo n ∈ ℕ, (n + k)² ≤ 2ⁿ⁺ᵏ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/09/16-las_sucesiones_convergentes_son_sucesiones_de_cauchy_v2/">#Calculemus: Demostraciones con Lean 4 del Reto 19 (Las sucesiones convergentes son sucesiones de Cauchy)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/09/27-formalizacion-del-libro-calculus-de-spivak-en-lean-4/">#Vestigium: Formalización del libro "Calculus" de Spivak en Lean 4</a>. #LeanProver #ITP #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/09/23-lista-de-usos-y-expectativas-de-la-ia-en-matematicas/">#Vestigium: Lista de usos y expectativas de la IA en matemáticas</a>. #AI4Math</li> </ul>AgdaAI4MahtIsabelleHOLITPLeanProverLogicProgrammingMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/09/28-readings_shared_09-28-26/Mon, 28 Sep 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/09/20-lecturas_compartidas_el_20-sep-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 21 September 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2609.10579v1">A machine-checked proof of the Dong-Yang classification of optimal (n,4) binary codes for BSCs</a>. ~ Shenghao Yang, Yanyan Dong. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.18261v1">Descriptive complexity in Lean: completeness by first-order reductions</a>. ~ Pierre Senellart, Anton Gnatenko. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.16027v1">Formalization of Sullivan's no wandering domains theorem in Lean</a>. ~ Ziang Li, Yusheng Luo. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.10793v1">Henstock-Kurzweil gauge integral in the non–gaussian regime: a machine-verified construction</a>. ~ Yuri N. Berdinsky. #LeanProver #ITP</li> <li><a href="https://www.philipzucker.com/elab_lean/">Lean metaprogramming etudes: execution is elaboration</a>. ~ Philip Zucker. #LeanProver #ITP #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2609.19195v1">Lean-certified infinite counterexamples to written on the Wall II Conjecture 194</a>. ~ Cameron Beeley. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.13780">Mechanizing Gödel's incompleteness theorems and provability logic</a>. ~ Shogo Saitou, Mashu Noguchi. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.17027v1">Palindromic length in free groups: reflections, noncrossing matchings, and Catalan</a>. ~ Junjie Liao. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/CRT_Product_Tree.html">Fast chinese remaindering via product trees (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Greibach_Hardest.html">Greibach’s hardest context-free language (in Isabelle/HOL)</a>. ~ Tobias Nipkow. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Napoleon.html">Napoleon's theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/System_F_Normalization.html">Strong normalization for Church-style system F (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://inria.hal.science/tel-05737923/">Structuring mathematics in dependent type theory</a>. ~ Cyril Cohen. #RocqProver #ITP #Math</li> <li><a href="https://terrytao.wordpress.com/2026/09/17/a-cern-for-ai-assisted-science/">A CERN for AI-assisted science?</a> ~ Dimitris Koukoulopoulos. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/14/a-beginning-for-mathematics/">A beginning for mathematics</a>. ~ Daniel Litt. #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.17779v1">AI and human approaches to mathematical problem solving</a>. ~ Yang Ding. #AI4Math</li> <li><a href="https://github.com/subroy13/awesome-ai-proofs">Awesome AI proofs (A curated list of mathematical proofs generated by artificial intelligent systems, verified by automated theorem prover, and a list of successes and mishaps)</a>. ~ Subhrajyoty Roy, Subrata Pal. #AI4Math</li> <li><a href="https://sair.foundation/open-math-model/">Building open models for the mathematical community (An invitation from SAIR Foundation)</a>. #AI4Math</li> <li><a href="https://alkjash.github.io/ai-risk/">Existential risk from AI: an exposition for mathematicians</a>. ~ Xiaoyu He. #AI4Math</li> <li><a href="https://antieau.github.io/2026/09/15/fast-math-slow-math.html">Fast math/slow math</a>. ~ Benjamin Antieau. #AI4Math</li> <li><a href="https://birdsnfrogs.github.io/2026/09/12/Felix_qui_potuit_rerum_cognoscere_causas.html">Happy, those able to know the causes of things (An essay on LLMs and the Navier-Stokes equation)</a>. ~ Nestor Guillen. #AI4Math</li> <li><a href="https://youtu.be/3geDF-DAwpg">SOLVED: Navier-Stokes cracked by AI</a>. | Numberphile ~ Tony Padilla. #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.10867v1">Stable singularity of the Euler equations on ℝ³</a>. ~ Adarsh Ganeshram, Valentin Duruisseaux, Anima Anandkumar. #AI4Math #LeanProver #ITP</li> <li><a href="https://proofsandprompts.com/2026/09/18/two-responses-to-a-severe-misalignment-of-ai-in-mathematics/">Two responses to "A severe misalignment of AI in mathematics"</a>. ~ Timothy Nguyen, M. Levent Doğan. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/15/when-inventing-is-not-enough/">When inventing is not enough</a>. ~ Lisa Valentini. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/19/where-will-all-the-papers-go/">Where will all the papers go?</a> ~ David Craven. #AI4Math</li> <li><a href="https://gowers.wordpress.com/2026/09/17/why-i-didnt-sign-the-fields-medallists-letter/">Why I didn’t sign the Fields medallists’ letter</a>. ~ Tim Gowers. #AI4Math</li> <li><a href="https://anekstein.com/posts/2026-08-22.html">Search over algebraic graphs</a>. ~ David Anekstein. #Haskell #FunctionalProgramming</li> <li><a href="https://notxor.nueva-actitud.org/2026/09/13/gptel-emacs-y-la-ia.html">gptel: Emacs y la IA</a>. ~ Notxor. #Emacs #AI</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/07/13-eventualmentemayorigmitadabslimitepos/">#Calculemus: Demostraciones con Lean 4 del Reto 10 (Si aₙ → L con L ≠ 0, entonces |aₙ| ≥ |L|/2 eventualmente)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/07/19-convergencia_abs/">#Calculemus: Demostraciones con Lean 4 del Reto 11 (Si aₙ converge a L, entonces |aₙ| converge a |L|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/07/27-eventualmente_menor_de_limsuc_menor/">#Calculemus: Demostraciones con Lean 4 del Reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/14-teorema_del_emparedado/">#Calculemus: Demostraciones con Lean 4 del Reto 6 (teorema del emparedado)</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/21-composicion_de_funciones_inyectivas/">#Calculemus: Demostraciones con Lean 4 del Reto 7 (La composición de funciones inyectivas es inyectiva)</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/28-no_converge_a_limite_pequeno_si_infinitos_terminos_grandes/">#Calculemus: Demostraciones con Lean 4 del Reto 8 (Sucesiones con infinitos términos grandes no convergen a límites pequeños)</a>. #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/07/06-unicidad_del_limite_de_las_sucesiones_convergentes/">#Calculemus: Demostraciones con Lean 4 del Reto 9 (Unicidad del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143856">#RetoLean4: Enunciado del reto 19 (Las sucesiones convergentes son de Cauchy)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/09/07-convergencia_producto">#RetoLean4: Soluciones del reto 18 (Convergencia del producto de sucesiones convergentes)</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverMathRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/09/20-lecturas_compartidas_el_20-sep-26/Mon, 21 Sep 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/09/13-readings_shared_09-13-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 14 September 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.30782v2">A Lean 4 formalization of Scott's continuous lattices (1972)</a>. ~ Lars Warren Ericson. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.04279v1">A counterexample to a problem of Pommerenke on convex functions in the class Σ</a>. ~ Yuankai Guo, Xiaozhe Hu. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2609.11174">A four-valued graph model for conflict resolution: core framework and a machine-checked formalization in Lean 4</a>. ~ Yukiko Kato. #LeanProver#ITP #Math</li> <li><a href="https://www.researchgate.net/publication/413742491_A_Kernel-Checked_Proof_of_Fuglede's_Conjecture_for_the_Cyclic_Group_Z180Z">A kernel-checked proof of Fuglede's conjecture for the cyclic group Z/180Z</a>. ~ Javier Emilio Bazán Sánchez. #LeanProver #ITP #Math</li> <li><a href="https://palomar-registry.org/entry.html?id=PALOMAR-2026-09-07-000013&amp;version=1">Lean 4 formalization of the Gurvich-Naumova ternary partition theorem</a>. ~ JD Jones. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/mario-ullrich/Lean-SNumbers">Lean4 formalization of s-numbers (in the sense of Pietsch) and important inequalities</a>. ~ Mario Ullrich. #LeanProver #ITP #AI4Math</li> <li><a href="https://blog.computationalcomplexity.org/2026/09/navier-stokes-and-lean.html">Navier-Stokes and Lean</a>. ~ Lance Fortnow. #LeanProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.02978v1">SparseStack is an optimal oblivious subspace embedding</a>. ~ Diar Heidary. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.04481v1">Statistical theory in the age of machine-assisted mathematics: rethinking how theory is made and taught</a>. ~ Pietro Coretto. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/forum?id=VncRNbkX2q">Steering aesop for theorem proving: learning to configure symbolic solvers via multi-source neurosymbolic feedback</a>. ~ Kai-Yuan Jeng, Ru-Jun Wang, Wen-Tsuen Chen. #LeanProver #ITP #AI4Math</li> <li><a href="https://geoconuk.github.io/lean-misc-math/docs/MiscMath/Analysis/KolmogorovArnold.html">The Kolmogorov–Arnold representation theorem (in Lean 4)</a>. ~ George A. Constantinides. #LeanProver #ITP #Math</li> <li><a href="https://www.preprints.org/frontend/manuscript/97dfab6c32071c09ee05c54a6372b153/download_pub">Two boundary-certificate proofs of the Crouzeix theorem: fiberwise Fourier recurrence and defect-Gram telescoping</a>. ~ Qinyu Luo. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.07345v2">Monadic second-order logic in HOL: deep and shallow with automated faithfulness</a>. ~ Christoph Benzmueller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://isa-afp.org/entries/Foldes_Hammer.html">The Földes–Hammer characterization of split graphs (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Platonic_Solids.html">The five platonic solids (in Isabelle/HOL)</a>. ~ Evan Finken. #IsabelleHOL #ITP #Math</li> <li><a href="https://proofsandprompts.com/2026/09/08/autoformalization-but-why/">(Auto)formalization, but why?</a> ~ Seewoo Lee. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.johndcook.com/blog/2026/09/09/four-colors/">A 50-year-old computer-assisted proof</a>. ~ John D. Cook. #AI4Math</li> <li><a href="https://www.quantamagazine.org/ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908/">AI has solved one of math’s $1 million Millennium Prize Problems</a>. ~ Konstantin Kakaes. #AI4Math</li> <li><a href="https://www.scientificamerican.com/article/ai-may-have-just-solved-a-million-dollar-math-problem-the-field-will-never-be-the-same/">AI may have just solved a million-dollar math problem</a>. The field will never be the same. ~ Joseph Howlett. #AI4Math</li> <li><a href="https://mathscholar.org/2026/09/ai-software-complete-a-formal-proof-of-fermats-last-theorem/">AI software completes a formal proof of Fermat’s Last Theorem</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.03478v1">AutoGraphForge: Towards automated graph theory discovery</a>. ~ Ján Pastorek. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.implicator.ai/clay-institute-navier-stokes-openai-proof-claim/">Clay Institute won't call Navier-Stokes solved after OpenAI proof claim</a>. ~ Marcus Schuler. #AI4Math</li> <li><a href="https://openai.com/index/navier-stokes-solution/">On the Navier–Stokes Millennium Prize Problem</a>. ~ OpenAI. #AI4Math</li> <li><a href="https://terrytao.wordpress.com/2026/09/11/on-the-existence-of-non-sofic-groups/">On the existence of non-sofic groups</a>. ~ Andreas Thom. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/12/on-the-impact-of-ai-on-the-mathematical-practice/">On the impact of AI on the mathematical practice</a>. ~ Manuel Rivera. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/12/the-association-for-human-mathematics/">The Association for Human Mathematics (AHM)</a>. ~ AHM communications group. #AI4Math</li> <li><a href="https://www.researchgate.net/publication/414030431_What_Lean_Checked_and_Astra_Didn't_Two_Kinds_of_Verification_One_Week_Apart">What Lean checked and Astra didn't: two kinds of verification, one week apart</a>. ~ Scott J. McCormick. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/07/what-is-mathematics-now-and-what-should-it-be/">What is mathematics now, and what should it be?</a> ~ Jeremy Avigad. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/08/whats-not-new/">What’s not new</a>. ~ Orr Shalit. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/09/how-to-welcome-llm-use-into-student-research-mentorship/">How to welcome LLM use into student research mentorship</a>. ~ Joshua Siktar. #AI</li> <li><a href="https://www.gaussianos.com/el-teorema-de-goldbach-euler/">El teorema de Goldbach-Euler</a>. ~ Miguel Ángel Morales. #Math</li> </ul>AIAI4MathIsabelleHOLITPLeanProverLeanProver#ITPLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/09/13-readings_shared_09-13-26/Mon, 14 Sep 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 31 August 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2608.20793">A Lean 4 verification report for subregular affine cells and the level −1 vertex algebra of type D, ~ Sihai Jin</a>. #LeanProver #ITP #Math</li> <li><a href="https://www.proofatlas.ai/papers/bondy-longest-cycle-proof/Bondy_Longest_Cycle_Formalized_Proof_2026-08-16.pdf">A formalized proof of Bondy’s minimum-degree longest-cycle conjecture</a>. ~ Lech Mazur. #LeanProver #ITP #AI4Math</li> <li><a href="https://www.researchgate.net/profile/Ralf-Stephan/publication/413520035_Even_integral_parts_of_powers_of_square_roots/links/6a8aaf312cf67a11560ce505/Even-integral-parts-of-powers-of-square-roots.pdf">Even integral parts of powers of square roots</a>. ~ Ralf Stephan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2509.19632">Formalization of Harder-Narasimhan theory</a>. ~ Yijun Yuan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23652v1">Improved bounds for the smallest 4-chromatic graph of girth six</a>. ~ Glauco Rampone. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.25449v1">MathAdv: What theorem provers know, reason, formalize, and generalize</a>. ~ Jiaxin Yuan et als. #LeanProver #ITP #AI4Math</li> <li><a href="https://adam.math.hhu.de/#/g/k88-b/NumberTheoryGame">Number theory game (An introduction to integer arithmetic and formal proofs)</a>. ~ kostya88. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.20432v1">ProofJudge: Tool-grounded LLM evaluation of formal proof quality in Mathlib</a>. ~ Shane Caldwell. #LeanProver #ITP #AI4Math</li> <li><a href="https://www.preprints.org/frontend/manuscript/e5c2b75afc9edc91e0c7c3164cbd210b/download_pub">Prove2Me: An open collaborative platform for scaling math formalization</a>. ~ Shuze Chen, Xiaoyang Lu, Kunal Marwaha, Tianyi Peng, Henry Yuen. #LeanProver #ITP #AI4Math</li> <li><a href="https://isa-afp.org/entries/Laurent_Annulus.html">Laurent series expansions on an annulus (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Miquel.html">Miquel's theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Multitape_TM_Substrate.html">Multitape Turing machine substrate (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Enlargement.html">Multitape alphabet enlargement (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Reduction.html">Multitape alphabet reduction (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Roundtrip.html">Multitape alphabet roundtrip (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s10817-026-09756-x">Proving total correctness of top-down solvers with widening and narrowing</a>. ~ Sarah Tilscher, Alexandra Graß, Helmut Seidl, Yannick Stade. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Trace_Based_Rely_Guarantee.html">Trace based semantics for rely guarantee (in Isabelle/HOL)</a>. ~ Marialena Hadjikosti, Andrei Popescu, Jamie Wright. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2507.10181">A simple formalization of alpha-equivalence</a>. ~ Kalmer Apinis, Danel Ahman. #RocqProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.23721v1">Autoformalizing the calculation of π₃(S²)</a>. ~ Daniel Carranza, Chunyi Liu, Emily Riehl, Egbert Rijke. #Agda #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23691v1">Autonomous mathematical discovery in an open-world multi-agent environment</a>. ~ Stephen Chung, Wenyu Du, William J. Wesley. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/27/the-future-mathematical-system-ai-tools-human-contribution-and-mathematical-evaluation/">Evaluating mathematical merit (AI-reproducible work, human mathematical contribution, and a residual evaluation framework)</a>. ~ Qi Guo. #AI4Math</li> <li><a href="https://www.math.toronto.edu/mgualt/math-blog/posts/math-and-llm-2026/">Mathematics and the LLM: 2026 (A letter to the mathematical community, to be published in the Notices of the AMS)</a>. ~ Marco Gualtieri. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/26/statement-on-ai-usage-for-phd-students/">Statement on AI usage for PhD students</a>. ~ Manuel Rivera. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23218v1">What is mathematics now, and what should it be?</a> ~ Jeremy Avigad. #AI4Math</li> <li><a href="https://entropicthoughts.com/curmudgeon-tries-language-server">A curmudgeon tries a language server</a>. ~ kqr. #Haskell #FunctionalProgramming #Emacs #Lisp</li> <li><a href="https://mgarletmilani.com/blog/2026-06-03-tessellations/">Haskell diagrams: Tessellations</a>. ~ Marcelo Garlet Milani. #Haskell #FunctionalProgramming</li> <li><a href="https://funcall.blogspot.com/2026/08/with-ai.html">(WITH-AI …)</a> ~ Joe Marshall. #CommonLisp #AI4Coding</li> <li><a href="https://funcall.blogspot.com/2026/08/will-it-lisp.html">Will it Lisp?</a> ~ Joe Marshall. #CommonLisp #VibeCoding</li> <li><a href="https://www.quantamagazine.org/does-computer-science-need-computers-20260828">Does computer science need computers?</a> ~ Ben Brubaker. #CompSci</li> <li><a href="https://www.gaussianos.com/un-cuerno-finito-infinito/">Un cuerno finito-infinito</a>. ~ Miguel Ángel Morales. #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/07-52n_-_23n_es_divisible_por_17/">#Calculemus: Demostraciones con Lean 4 del Reto 5 (5²ⁿ - 2³ⁿ es divisible por 17)</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/31-infinitud_de_primos_v2/">#Calculemus: Demostraciones en Lean 4 del Reto 4 (Existen infinitos números primos)</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143443">#RetoLean4: Enunciado del reto 17 (las sucesiones convergentes están acotadas)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_16.lean">#RetoLean4: Soluciones del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_15.lean">#RetoLean4: Soluciones del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143325">#RetoLean4: Enunciado del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathCommonLispCompSciEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLispMathRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/Mon, 31 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/24-readings_shared_08-24-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 24 August 2026 are:</p> <ul> <li><a href="https://github.com/yuanchenyang/lean_low_rank_univariate_sos">A Lean formalization of the main theorem of the paper "Low-rank univariate sum of squares has no spurious local minima"</a>. ~ Chenyang Yuan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.13757v1">A barrier-free synchronization algorithm for multi-engine AI accelerators</a>. ~ Chungha Sung, Nikil V. Shyamsunder, Hanliang Zhang, Daniel Kroening, Joonwon Choi. #LeanProver #ITP</li> <li><a href="https://github.com/WillWhistler/Regts-Sevenster">A proof of the Regts–Sevenster conjecture, formalized</a>. ~ William Whistler. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/catskillsresearch/cardb">Cardinality of topological bases of a finite set</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Math</li> <li><a href="https://github.com/elliotglazer/erdos501">Erdős problem #501 in Lean 4</a>. ~ Elliot Glazer. #LeanProver #ITP #Math #AI4Math</li> <li><a href="https://github.com/rkirov/jordan_pick">A Lean 4 formalization of Pick's theorem, the polygonal Jordan curve theorem, the full Jordan curve theorem, and Radó's theorem</a>. ~ Rado Kirov. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.08656">Cantor measures with odd base do not admit Fourier frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.20358">Formalizing extended complex numbers, Möbius transformations, and cross ratio in Lean 4</a>. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://primegaps.axiommath.ai/">Lean formalization of bounded gaps between primes</a>. ~ Evan Chen, Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ken Ono, Ashvin Swaminathan, Jesse Thorner, Yunzhou Xie. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/fubinyan/ComplexVariables">Lean formalization of complex analysis</a>. ~ Fubin Yan et als. #LeanProver #ITP #Math</li> <li><a href="https://github.com/gexahedron/sabidussi-lean">Lean formalization of the Sabidussi compatibility conjecture</a>. ~ Nikolay Ulyanov. #LeanProver #ITP #Math</li> <li><a href="https://github.com/aimmerwahr/lean-math-exercises">Math exercises in Lean</a>. ~ Anna Immerwahr. #LeanProver #ITP #Math</li> <li><a href="https://github.com/xinjiegit/ben_27_formalization">NUSLean: Lean 4 formalization of "A near-quadratic lower bound for sets with no unique sums"</a>. ~ Xinjie He. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26052">On the existence problem of regular Gabor frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #AI4Math</li> <li><a href="https://palomar-registry.org/">Palomar: A public registry of Lean-verified mathematics</a>. #LeanProver #ITP #AI4Math</li> <li><a href="https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/">Palomar: a registry of Lean verified mathematics</a>. ~Terence Tao. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/teorth/sendov">Sendov's conjecture in Lean</a>. ~ Terence Tao. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.06693">Stable phase retrieval for spans of independent random variables</a>. ~ Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos, Mitchell A. Taylor. #LeanProver #ITP #AI4Math</li> <li><a href="https://ceur-ws.org/Vol-4239/paper-Farjami-14.pdf">Constrained input/output logic in HOL: An algebraic embedding</a>. ~ Ali Farjami, Luca Pasetto. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2601.00811">A naive encoding of Russell's paradox in type theory</a>. ~ Zhuoyuan Qu. #CoqProver #Agda #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.18445v1">Formal verification of Romanov's triplet logic: A verified filter for sliding-window 3-CNF with application to structured formulas</a>. ~ Dmitry V. Alexandrov. #RocqProver #ITP #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/19/changes-in-the-classroom-in-the-ai-era/">Changes in the classroom in the AI Era</a>. ~ Benjamin Jaye, Galyna V. Livshyts. #AI4Math</li> <li><a href="https://cacm.acm.org/blogcacm/llms-make-mathematics-easier-now-raise-the-bar/">LLMs make mathematics easier</a>. Now raise the bar. ~ Marijn J. H. Heule. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/20/response-to-the-ai-dissenter-viewpoint/">Response to "The AI dissenter viewpoint"</a>. ~ Anatoly Vitold Stankyavichyus. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.09191">A proof of the imbalance conjecture</a>. ~ James Alexander Schreib, Yousof Yavari. #AI4Math #LeanProver</li> <li><a href="https://www.math.ias.edu/~akshay/research/ReimaginingDetails.pdf">Human mathematics in the age of reasoning machines</a>. ~ Akshay Venkatesh. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/18/on-protecting-mathematics-from-llm-companies-monopoly/">On protecting mathematics from LLM companies’ monopoly</a>. ~ Tian Lan. #AI4Math</li> <li><a href="https://youtu.be/ZKF6dWzOiPA">The shape of math to come</a>. ~ Alex Kontorovich. #AI4Math #LeanProver</li> <li><a href="https://www.cs.ox.ac.uk/people/samuel.staton/papers/icfp2026-imp.pdf">Imprecise probabilistic programming, precisely (Credal sets via graded monads, BDDs, and semiring-parametric inference)</a>. ~ Jack Liell-Cock, Sam Staton. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/wtMmw0HlXTg">ediprolog: Emacs does interactive Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming #Emacs</li> <li><a href="https://youtu.be/xHEnWvKmSKM">stdin | LLM | stdout</a>. ~ karthink. #Emacs #LLMs</li> <li><a href="https://www.bardman.dev/technology/switching-to-emacs/">My advice for users wanting to switch to Emacs</a>. ~ Daniel Pinkston. #Emacs</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/17-no_convergencia_-1n/">#Calculemus: Demostraciones con Lean 4 del Reto 2 (La sucesión 1, -1, 1, -1,</a>… no es convergente). #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/24-si_a_converge_a_l_entonces_2a_converge_a_2l/">#Calculemus: Demostraciones con Lean 4 del Reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143055">#RetoLean4: Enunciado del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_14.lean">#RetoLean4: Soluciones del reto (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/ZWtaXZSXLko">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 14</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathCoqProverEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicProgrammingMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/24-readings_shared_08-24-26/Mon, 24 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/17-readings_shared_08-17-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 17 August 2026 are:</p> <ul> <li><a href="https://www.proofatlas.ai/papers/sendov-conjecture/SENDOV_CONJECTURE_PROOF_AUGUST_5_2026.pdf">A computer-assisted proof of Sendov’s conjecture</a>. ~ Lech Mazur. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.07384">A formalization of the Laplace transform and its inversion in Lean 4</a>. ~ Daniel Goldberg, Antoine Vinciguerra. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.29191v2">A proof of the Dittert conjecture in dimension 4 via an exact constrained sum-of-squares certificate</a>. ~ Jinhui Li, Beibei Xiong, Zhengfeng Yang. #LeanProver #ITP #Math</li> <li><a href="https://github.com/ImperialCollegeLondon/AnnalsChallenge">AnnalsChallenge is a collection of formalised statements of recent important theorems</a>. These theorems are the main results of papers published in the Annals of Mathematics in the 2020s. The statements are written in Lean 4, using Mathlib. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.07396v1">Banach lattices and phase retrieval: A case study for the use of AI in mathematics</a>. ~ Jaume de Dios Pont, Lukas Liehr, David Muñoz-Lahoz, Mitchell A. Taylor, Pedro Tradacete. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.16507v2">Deep Vision: A formal proof of Wolstenholmes theorem in Lean 4</a>. ~ Alexandre Linhares. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.09305v1">Dilatations of categories, via their lean formalization</a>. ~ Arnaud Mayeux. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.10894v1">FormaTheoria: Constructing large-scale lean theories from mathematical literature (Toward the formalization of the classification of finite simple groups)</a>. ~ Tianjiao Nie, Ao Zhang, Yusen Tang, Damiano Testa, Shing-Tung Yau, Peng Li, Yuan Zhou. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.07366v1">From the Dirichlet integral to Lobachevsky's formula: a formalization in Lean 4</a>. ~ Daniel Goldberg, Antoine Vinciguerra. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.12280v1">Grothendieck's theorem for Bessel sequences</a>. ~ Lukas Liehr, Mitchell A. Taylor, Peiyang Yu. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/0QZI_m8WZ0Q">Is this the end of handwritten math? Introducing Lean</a>. ~ Ank Yog. #LeanProver #ITP #Math</li> <li><a href="https://lean-lang.org/doc/reference/latest/releases/v4.33.0/">Lean 4.33.0 is live!</a> #LeanProver #ITP</li> <li><a href="https://lean.commutator.io/">Les mathématiques du secondaire français, démontrées en Lean</a>. ~ Michel Hua. #LeanProver #ITP #Math #AI4Math</li> <li><a href="https://xenaproject.wordpress.com/2026/08/13/the-annals-challenge/">The Annals Challenge</a>. ~ Kevin Buzzard. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.07388v1">The Banach lattice Lean library</a>. ~ David Muñoz-Lahoz. #LeanProver #ITP #Math</li> <li><a href="https://www.fixpoint-theory.com/papers/note_e8_gaussian_code.pdf">The Gaussian code bridge: E8 over Z[i], the extended Hamming code, and a four-bit information layer</a>. ~ Stefan Hamann. #LeanProver #ITP</li> <li><a href="https://arena.lean-lang.org/">The Lean Kernel Arena presents, tests and benchmarks proof checkers for the Lean Theorem Prover</a>. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.08643v1">The set of primes is supernatural: a Lean formalization of the statement of the conjecture</a>. ~ A. Mayeux. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.13522">Vero: Can AI agents build formally verified software repositories? ~ Zhe Ye et als</a>. #LeanProver #ITP #FormalVerification</li> <li><a href="https://arxiv.org/abs/2608.13459v1">CAPRI: Contract-aware proof repair for Isabelle</a>. ~ Jim Woodcock, Gabriel Leite, Augusto Sampaio, Ran Wei. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://isa-afp.org/entries/Projected_Gradient_Descent.html">First-order methods for smooth convex optimization in Isabelle/HOL</a>. ~ Feier Lyu. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.00501">Machine-checked dual-write recovery from a committed log</a>. ~ Andreas Andreakis. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2608.08421v1">A SAT attack on Tarski's high school algebra problem</a>. ~ Bernardo Subercaseaux, Benjamin Przybocki. #ATP #SATsolvers #Math</li> <li><a href="https://proofsandprompts.com/">Proofs and prompts (a communal blog about mathematics in the age of AI)</a>. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/12/the-end-of-an-era-in-mathematical-research/">The end of an era in mathematical research</a>. ~ Alonso Castillo-Ramirez. #AI4Math</li> <li><a href="https://www.daniellitt.com/blog/2026/8/11/the-end-of-mathematics">The end of mathematics</a>. ~ Daniel Litt. #AI4Math</li> <li><a href="https://youtu.be/HSxytYCWVow">The path to mathematical superintelligence</a>. ~ Tudor Achim. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/11/the-question-of-reasoning-traces/">The question of reasoning traces</a>. ~ Segev Gonen Cohen. #AI4Math</li> <li><a href="https://theoremdb.org/">TheoremDB: A public workspace for machine mathematics</a>. #AI4Math #LeanProver</li> <li><a href="https://proofsandprompts.com/2026/08/11/what-i-feel-like-when-i-work-with-an-ai/">What I feel like when I work with an AI</a>. ~ Shmuel Weinberger. #AI4Math</li> <li><a href="https://gowers.wordpress.com/2026/08/12/what-sort-of-maths-are-llms-good-at/">What sort of maths are LLMs good at?</a> ~ Timothy Gowers. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/07/writing-mathematics-in-the-age-of-ai/">Writing mathematics in the age of AI</a>. ~ Main Hairer. #AI4Math</li> <li><a href="https://azizovich.uz/posts/advent-of-code-solving.html">Solving AoC with Haskell</a>. ~ Asliddin Abdivasiyev. #Haskell #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/09-retos_de_demostracion_en_lean_4/">#RetoLean4: Retos de demostración en Lean 4</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/10-la_sucesion_1_div_n_converge_a_0/">#Calculemus: Demostraciones con Lean 4 de "La sucesión 1/n converge a 0"</a>. #LeanProver #Math</li> </ul>AI4MathATPFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathhttps://jaalonso.github.io/vestigium/posts/2026/08/17-readings_shared_08-17-26/Mon, 17 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 10 August 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.08986v2">A formalization of the mean-field derivation of the Vlasov equation (Mathematician in the loop: AI-assisted Lean formalization as a strategy game)</a>. ~ Joseph K. Miller. #LeanProver #ITP #AI4Math</li> <li><a href="https://verse-lab.org/papers/leetproof-ase26.pdf">Certified program synthesis with a multi-modal verifier</a>. ~ Yueyang Feng et als. #LeanProver #FormalVerification</li> <li><a href="https://arxiv.org/abs/2608.02066v1">Every quasiperfect number has at least eight distinct prime factors</a>. ~ Akira Toyohara, Ye Tao, Siqiong Yao. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.29111v1">Fitting’s theorem and semirings of normal subgroups</a>. ~ Damiano Testa. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.06261">Game hopping in Lean</a>. ~ Stefan Dziembowski, Grzegorz Fabiański, Daniele Micciancio, Rafał Stefański. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.20244">Lean refactor: Multi-objective controllable proof optimization via agentic strategy search</a>. ~ Jialin Lu, Soonho Kong, Rodrigo Stehling, Kaiyu Yang, Zhangyang Wang. #LeanProver #ITP #AI4Math</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2025.2">Lean4Lean: Verifying a typechecker for Lean, in Lean</a>. ~ Mario Carneiro. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28459v1">LeanCSP: A framework for certifying constraint reformulation and solving in Lean</a>. ~ Pablo Manrique, Stefan Szeider. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.02295">MechGeo: Autoformalizing and proving euclidean geometry in Lean 4</a>. ~ Hao Shen, Junyu Guo, Tian Cui, Yuxuan Xiao, Lihong Zhi. #AI4Math #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/blog/2026-8-1-postmortem-for-kernel-soundness-bug-14576/">Postmortem for kernel soundness bug #14576</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/static/floc26/">The Lean theorem prover: design, evolution, and impact</a>. ~ Leo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.04228v1">Topological semantics for scoped computational paths</a>. ~ Arthur Freitas Ramos, Ruy J. G. B. de Queiroz, Anjolina Grisi de Oliveira, Tiago M. L. de Veras. #LeanProver #ITP #Math</li> <li><a href="https://francis.naukas.com/2026/08/02/un-error-en-el-nucleo-de-lean-aprovechado-por-una-ia-para-refutar-la-conjetura-de-collatz/">Un error en el núcleo de Lean aprovechado por una IA para refutar la conjetura de Collatz</a>. ~ Francisco R. Villatoro. #LeanProver #ITP #Math</li> <li><a href="https://www.andrew.cmu.edu/user/avigad/Students/rong_ms_thesis.pdf">Verifying Verus: A Lean 4 formalization of the SST-to-AIR expression translation</a>. ~ Shuge Rong. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/HOL_in_HOL_Deep.html">A deep embedding of HOL in HOL: soundness, completeness, consistency</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Dinitz_Garg_Goemans_Counterexample.html">A formal counterexample to the cost-preserving single-source unsplittable flow conjecture (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Q0_Completeness.html">Completeness of the Q₀ higher-order logic (in Isabelle/HOL)</a>. ~ Asta Halkjær From, Jonathan Julian Huerta Munive, Anders Schlichtkrull. #IsabelleHOL #ITP #Logic</li> <li><a href="https://youtu.be/nEf-WVtpEek">Isabelle: the last 40 years (and the next)</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Simson.html">The Wallace-Simson line theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://iwc2026.github.io/documents/iwc2026_proceedings.pdf#page=13">Verifying and generalizing simultaneous critical pairs</a>. ~ René Thiemann. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.01870">0/1-Polytopes with exponentially small edge expansion</a>. ~ Xiongxin Yang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.05142v1">A bijective proof of a partition theorem of Berkovich and Uncu</a>. ~ Michal Mogielnicki, Ken Ono, Niels Voss, Jujian Zhang. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28557">Completeness of the model space does not force regularity for infinite-dimensional Lie groups</a>. ~ Zongjian Han1, Fungo Liu. #AI4Math</li> <li><a href="https://varto.ai/news/putnambench/">How we solved PutnamBench (A look at formally proving undergraduate competition mathematics)</a>. #AI4Math #IsabelleHOL</li> <li><a href="https://assets-eu.researchsquare.com/files/rs-10387804/v1_covered_6fa9d06e-b7c7-404f-b3e2-1d1493471102.pdf">Mathematical scientific discovery using large language models: a systematic literature review</a>. ~ Vinita Gangaram Jansari et als. #AI4Math</li> <li><a href="https://mathscholar.org/2026/08/mathematicians-address-artificial-intelligence/">Mathematicians address artificial intelligence</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://www.understandingai.org/p/mathematicians-are-grappling-with">Mathematicians are grappling with the possibility that AI might eclipse them</a>. ~ Kai Williams. #AI4Math</li> <li><a href="https://github.com/anadim/anadim.github.io/raw/master/MIMO_Detection.pdf">Polynomial-time MIMO detection at the maximum-likelihood threshold</a>. ~ Dimitris Papailiopoulos. #AI4Math</li> <li><a href="https://trishullab.github.io/PutnamBench/leaderboard">PutnamBench Leaderboard (Benchmarking formal mathematical reasoning on the Putnam Mathematical Competition)</a>. #AI4Math #LeanProver #IsabelleHOL #Coq</li> <li><a href="https://trishullab.github.io/PutnamBench/">PutnamBench: A Multilingual competition-mathematics benchmark for formal theorem-proving</a>. ~ George Tsoukalas et als. #AI4Math</li> <li><a href="https://www.quantamagazine.org/why-the-legendary-erdos-problems-are-falling-to-ai-20260803/">Why the legendary Erdős problems are falling to AI</a>. ~ Konstantin Kakaes. #AI4Math</li> <li><a href="https://pandoc.org/twenty-years-of-pandoc.html">Twenty years of Pandoc</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://artificialanalysis.ai/">Independent analysis of AI (Understand the AI landscape to choose the best model and provider for your use case)</a>. #AI</li> <li><a href="https://www.microsiervos.com/archivo/ia/inteligencia-artificial-chatgpt-tareas-creatividad-imagenes.html">La lista de los más listos de la clase: el análisis de la «inteligencia» de las IA (y sus precios) en una sola página</a>. ~ @Alvy. #AI</li> <li><a href="https://t.me/Retos_Matematicos/109557/142397">#RetoLean4: Enunciado del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/142663">#RetoLean4: Enunciado del reto 14 (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_12.lean">#RetoLean4: Soluciones del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_13.lean">#RetoLean4: Soluciones del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/hodYneYNEWw">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 12</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/EcNgDxgNya8">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 13</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathCoqFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/Mon, 10 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 3 August 2026 are:</p> <ul> <li><a href="https://github.com/PierreSenellart/descriptive-complexity">A Lean 4 library for descriptive complexity</a>. ~ Pierre Senellart. #LeanProver #ITP</li> <li><a href="https://github.com/mbrcic/ai-safety-formalization-atlas">AI safety formalization Atlas</a>. ~ Mario Brčić et als. #LeanProver #ITP #AI</li> <li><a href="https://arxiv.org/abs/2607.23500v1">Formalizing flag algebras in Lean</a>. ~ Gyeongwon Jeong, Seonghun Park, Jihoon Hyun, Sang-il Oum, Hongseok Yang. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.22972v1">Learned interventions in Lean 4 grind</a>. ~ Evan Wang, Simon Chess, Sophie Szeto, Theodore Meek. #LeanProver #ITP</li> <li><a href="https://leanprover-community.github.io/lean4-metaprogramming-book/">Metaprogramming in Lean 4</a>. ~ Asei Inoue et als. #LeanProver #ITP</li> <li><a href="https://ml4sp.github.io/papers/2026/paper7.pdf">An LLM-based recommendation system for PVS</a>. ~ Nikson Bernardes Fernandes Ferreira, Mariano M. Moscato, Mauricio Ayala-Rincón. #PVS #ITP #LLMs</li> <li><a href="https://www.researchgate.net/publication/410760112_Show_Me_The_Money_An_Exercise_in_Proof-Driven_Software_Understanding">Show me the money: an exercise in proof-driven software understanding</a>. ~ Joseph Tafese, Karthik Nukala, Hassen Saïdi, Natarajan Shankar, Arie Gurfinkel, Giuliano Losa. #PVS #ITP #Autoformalization</li> <li><a href="https://link.springer.com/chapter/10.1007/978-3-032-32589-1_25">Growing HOLMS: A verified automated prover for Grzegorczyk logic in HOL Light</a>. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi. #HOL_Light #ITP</li> <li><a href="https://lawrencecpaulson.github.io/2026/07/30/Collatz.html">Why is it all in the kernel?</a> ~ Lawrence Paulson. #ITP #LeanProver #IsabelleHOL #RocqProver</li> <li><a href="https://arxiv.org/abs/2508.11136v1">Automating the derivation of unification algorithms (A case study in deductive program synthesis)</a>. ~ Richard Waldinger. #DeductiveProgramSynthesis</li> <li><a href="https://www.researchgate.net/publication/410760278_Pgeon_Generating_Tableau-Based_Provers_from_Declarative_Specifications_of_Logical_Calculi">Pgeon: Generating tableau-based provers from declarative specifications of logical calculi</a>. ~ Romain Sidhoum, Simon Robillard, David Delahaye. #ATP #Logic #Ocaml</li> <li><a href="https://arxiv.org/abs/2607.27298v1">From lecture notes to Lean: Formalizing a textbook on probability theory</a>. ~ Shuo Deng, Kenneth W. Shum. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.22524v1">Machine-checked arithmetic bit complexity of the Kannan-Bachem Smith normal form in Lean 4</a>. ~ Junye Ji. #AI4Math #LeanProver #ITP</li> <li><a href="https://borretti.me/article/mathematics-without-mathematicians">Mathematics without mathematicians</a>. ~ Fernando Borretti. #AI4Math</li> <li><a href="https://aimath.robertj1.com/">Open math problems claimed to be solved with AI</a>. ~ Robert Joseph. #AI4Math</li> <li><a href="https://pramaanalabs.ai/blog/pramaana-solves-imo-2026-in-lean-4-in-under-7-hours">Pramaana solves IMO 2026 in Lean 4 in under 7 hours (Pramaana’s Panini and Hardy systems formalized and proved all six IMO 2026 problems in Lean 4 in under seven hours and for less than $150)</a>. ~ Arnav Mehta. #AI4Math #LeanProver #ITP</li> <li><a href="https://cdn.openai.com/pdf/ten-proofs-oai.pdf">Ten advances in mathematics and theoretical computer science</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.27197">The Maxwell conjecture is false</a>. ~ Philip Arathoon, Gavin Ball, Matthew D. Kvalheim. #AI4Math</li> <li><a href="https://vibemathed.com/">VibeMathed: A website tracking mathematical problems solved by AI models - proved or disproved with a model in the loop</a>. #AI4Math</li> <li><a href="https://ubunlog.com/el-correcto-uso-de-los-parametros-en-un-modelo-de-inteligencia-artificial/">El correcto uso de los parámetros en un modelo de Inteligencia Artificial</a>. ~ Diego Germán González. #AI</li> <li><a href="https://haskell.foundation/news/2026-07-18/hiw-hew-2026-videos.html">2026 Haskell workshop videos now online</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://cdfa.github.io/existentials-on-a-leash/">Existentials on a leash</a>. ~ Colin de Roos. #Haskell #FunctionalProgramming</li> <li><a href="https://www.well-typed.com/blog/2026/07/falsify-4/">New falsify release</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://blog.haskell.org/quick-tips-for-fast-iteration-in-haskell/">Quick tips for fast iteration in Haskell</a>. ~ Tom Ellis, Laurent P. René de Cotret. #Haskell #FunctionalProgramming</li> <li><a href="https://codeberg.org/jaror/real-world-haskell">Real World Haskell Revived</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://funcall.blogspot.com/2026/07/vibe-coding-reconsidered.html">Vibe coding reconsidered</a>. ~ Joe Marshall. #CommonLisp #VibeCoding #AI4Coding</li> <li><a href="https://t.me/Retos_Matematicos/109557/142082">#RetoLean4: Enunciado del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_11.lean">#RetoLean4: Soluciones del reto 11 (Si la sucesión aₙ converge a L, entonces |aₙ| converge a |L|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/bktHsoZDWAQ">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 11</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathATPAutoformalizationCommonLispFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicMathOCamlPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/Mon, 03 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/27-readings_shared_07-27-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 27 July 2026 are:</p> <ul> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.35/LIPIcs.ITP.2026.35.pdf">A Lean tactic for normalizing expressions in an algebra over a ring</a>. ~ Arend Mellendijk. #LeanProver #ITP</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.26/LIPIcs.ITP.2026.26.pdf">An end-to-end verification of Keller’s conjecture</a>. ~ James Gallicchio, Cayden Codel, Jeremy Avigad, Marijn J. H. Heule. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20816v1">Cofinite zeros of high derivatives</a>. ~ Eric Hou. #LeanProver #ITP #Math</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.19/LIPIcs.ITP.2026.19.pdf">Formalizing the Bruck–Ryser–Chowla theorem: Combinatorial design theory in Lean</a>. ~ Eric Jonathan Wang, Elif Uskuplu. #LeanProver #ITP</li> <li><a href="https://icms-conference.org/2026/papers/paper10/main.pdf">Formalizing the Wu-Ritt characteristic set method in Lean 4</a>. ~ Yuxuan Xiao, Hao Shen, Junyu Guo, Dingkang Wang, Lihong Zhi. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20186">From Dag-Like proofs to boolean circuits in Lean</a>. ~ Lorenzo Saraiva, Edward Hermann Haeusler. #LeanProver #ITP</li> <li><a href="https://link.springer.com/content/pdf/10.1007/978-3-032-32589-1_7.pdf">grind: An SMT-inspired tactic for Lean 4</a>. ~ Kim Morrison, Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/Jacobian_Counterexample.html">Formal verification of an explicit counterexample to the jacobian conjecture</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://eprint.iacr.org/2026/1490.pdf">On the formal verification of polynomial commitments: two KZG constructions and the algebraic group model</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://www.cs.ru.nl/bachelors-theses/2026/Sophie_Krijgsman___1072493___Formalising_Standard_Deontic_Logic_and_Dyadic_Deontic_Logic_in_Rocq.pdf">Formalising standard deontic logic and dyadic deontic logic in Rocq</a>. ~ Sophie Krijgsman. #RocqProver #ITP #Logic</li> <li><a href="https://people.cs.nott.ac.uk/pszgmh/pickard-thesis.pdf">Dependent types for compiler calculation</a>. ~ Mitchell Pickard. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2607.17292v1">Topology in synthetic domain theory and its formalisation in Agda</a>. ~ Runze Xue. #Agda #ITP #Math</li> <li><a href="https://qiqt.org/QIQT_AI_Methodology.pdf">An audited human-AI loop for trustworthy Lean formalization: axiom-budget auditing, a goal-directed state report, and a conditional general-relativity case study</a>. ~ Paweł Kapłański. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.21187v1">Case study: proving sqrt(2) irrational with LPTP and an LLM</a>. ~ Fred Mesnard, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://arxiv.org/abs/2607.21196v1">Case study: solving P-99 with LPTP and an LLM</a>. ~ Fred Mesnard, Thierry Marianne, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://www.gaussianos.com/encontrado-un-contraejemplo-de-la-conjetura-jacobiana-con-claude-fable-5/">Encontrado un contraejemplo de la conjetura jacobiana con Claude Fable 5</a>. ~ Miguel Ángel Morales. #AI4Math</li> <li><a href="https://xenaproject.wordpress.com/2026/07/20/human-mathematicians-are-being-outcounterexampled/">Human mathematicians are being outcounterexampled</a>. ~ Kevin Buzzard. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/ai-views-interview.html">Interview: Terence Tao on AI</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.20503v1">LeanFlow: A case study in workflow-driven Lean autoformalization</a>. ~ Lazar Milikic, Simon Guilloud, Khanh Nguyen, Viktor Kuncak. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.17388v1">Mathematical discovery in the wild: AI-guided proofs in Banach space theory</a>. ~ Antonio Acuaviva, Pablo Acuaviva. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/slides/age-of-ai-icm-2026.pdf">Mathematics in the age of AI</a>. ~ Terence Tao. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.17477">On some problems from the Kourovka notebook</a>. ~ Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison. #AI4Math #LeanProver #ITP #Aristotle</li> <li><a href="https://mathoverflow.net/questions/513540/should-we-trust-ai-generated-formal-proofs-in-lean-4">Should we trust AI-generated formal proofs in Lean 4? ~ MathOverflow</a>. #AI4Math</li> <li><a href="https://github.com/TauCetiProject/TauCeti">Tau Ceti: a repository of formal mathematics, directed by human-written roadmaps, implemented and maintained by AI contributors, subject to adversarial review</a>. ~ Kim Morrison et als. #AI4Math #LeanProver #ITP</li> <li><a href="https://teorth.github.io/tao-web/ai-views.html">Terence Tao on AI in mathematics (and beyond)</a>. #AI4Math</li> <li><a href="https://web.mathi.uni-heidelberg.de/media/How_To_Read_Math_88bf1d2d47.pdf">How to read mathematics? (A study guide)</a>. ~ Petra Schwer. #Math</li> <li><a href="https://images.nvidia.com/pdf/Open-Weights-and-American-AI-Leadership.pdf">Open weights and american AI leadership</a>. #AI</li> </ul>AgdaAIAI4MathAristotleIsabelleHOLITPLeanProverLogicMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/27-readings_shared_07-27-26/Mon, 27 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 July 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.14082v1">Building Shor's algorithm in Lean: An agentic formalization of quantum attacks on RSA-2048 and P-256</a>. ~ Lei Zhang, Yusheng Zhao, Hongshun Yao, Xin Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.08656v1">Cantor measures with odd base do not admit Fourier frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.10216">Formalizing abstract simplicial complexes &amp; stellar subdivisions in Lean</a>. ~ Garett Cunningham, Daniel Zach, Stefan Friedl. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.13165v1">Interchange graphs of (0,1)-matrices are maximally Hamiltonian</a>. ~ Jeffrey S. Baggett, Huiya Yan. #LeanProver #ITP</li> <li><a href="https://archive.is/qJLGP#selection-663.0-667.0">Mathematicians put AI to work on Fermat's last theorem</a>. ~ Matthew Sparkes. #LeanProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.08366v1">Minimum modulus for the unique multiset-sum problem</a>. ~ José A. R. Fonollosa. #LeanProver #ITP</li> <li><a href="https://digitalcommons.dartmouth.edu/cgi/viewcontent.cgi?article=1080&amp;context=cs_senior_theses">Representing Lean proofs: Tactics, trajectories, search</a>. ~ Elisaveta Samoylov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.12655">Anti-unification completeness analysis in PVS</a>. ~ Mauricio Ayala-Rincón, Thaynara Arielly de Lima, Maria Júlia Dias Lima, Temur Kutsia, Marcos Mercandeli-Rodrigues. #PVS #ITP</li> <li><a href="https://arxiv.org/abs/2410.13508v1">Formalizing hyperspaces and operations on subsets of polish spaces over abstract exact real numbers</a>. ~ Michal Konečný, Sewon Park, Holger Thies. #CoqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.14999v1">Verification of a DPLL transition system in Rocq</a>. ~ Julia Dijkstra, Benedikt Ahrens. #RocqProver #ITP</li> <li><a href="https://isa-afp.org/entries/Conway_Circle.html">Conway's circle theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.10880">First-order modal logic in HOL: Deep and shallow embeddings with automated faithfulness</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://bford.info/pub/lang/paradox/paradox.pdf">Formalizing paradoxes in grounded arithmetic using Isabelle/HOL</a>. ~ Ananthajit Srikanth, Bryan Ford. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/MSOinHOL.html">Monadic second-order logic in HOL: Deep and shallow embeddings with automated faithfulness (Isabelle/HOL dataset)</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.32">New and formalized proofs for right-forward closures and core matrix interpretations</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Polynomial_Commitment_Schemes.html">Polynomial commitment schemes (in Isabelle/HOL)</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Right_Forward_Closures.html">Termination restricted to right-forward closures (in Isabelle/HOL)</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Chevalley_Warning.html">The Chevalley-Warning theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.08986v1">A formalization of the mean-field derivation of the Vlasov equation: AI-assisted Lean formalization as a strategy game</a>. ~ Joseph K. Miller. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.13899v1">AIMO interpretability challenge</a>. ~ Michal Štefánik et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.07779v1">From solvers to research: Large language model-driven formal mathematics at the research frontier</a>. ~ Eric Jiang, Xiao Liang, Yikai Zhang, Yingjia Wan, Mengting Li, Haikang Deng, Alexander K. Taylor, Justin Baker, Rushil Raghavan, Junyi Zhang, Ying Nian Wu, Andrea L. Bertozzi, Kai-Wei Chang, Raghu Meka, Matthew Sottile, Nanyun Peng, Amit Sahai, Terence Tao, Wei Wang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.09217v1">OpenProver: Agentic and interactive theorem proving with Lean 4</a>. ~ Matěj Kripner, Milan Straka. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.09721v1">The Ramanujan challenge for AI</a>. ~ Michael Shalyt, Rotem Kalisch, Carsten Schneider, Hila Barkan, Elyasheev Leibtag, John Campbell, Shachar Weinbaum, Tali Monderer, Ashvni Narayanan, Ido Kaminer. #AI4Math</li> <li><a href="https://blog.haskell.org/enterprise-haskell-at-h-e-b/">Enterprise Haskell at H-E-B</a>. ~ Joshua Miller. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/o3Q4RnP2u1I">GHC String interpolation</a>. ~ Brandon Chinn. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/qk_P8piUclI">Is there a future for a formally specified Haskell report?</a>. ~ David Binder. #Haskell #FunctionalProgramming #LeanProver #ITP</li> <li><a href="https://youtu.be/BtTaT90OvPE">Stable Haskell</a>. ~ Julian Ospald. #Haskell #FunctionalProgramming</li> <li><a href="https://1pt.co/Lean4Reto10Enunciado">#RetoLean4: Enunciado del reto 10 (Si una sucesión converge a un límite no nulo, entonces sus términos están eventualmente acotados inferiormente por la mitad del valor absoluto del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://1pt.co/Lean4Reto9">#RetoLean4: Soluciones del reto 9 (Unicidad del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/Swy_AW1aSMY">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 9</a>. #LeanProver #ITP #Math</li> </ul>AI4MathCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/Mon, 20 Jul 2026 04:00:00 GMT