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>Mon, 28 Sep 2026 07:02:53 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 GMT