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/2026/08/31-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/2026/07/27-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/2026/07/06-readings_shared_07-06-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 July 2026 are:</p> <ul> <li><a href="https://www.preprints.org/manuscript/202607.0075">An explicit eventual p⁴-divisibility theorem for an Apery-type numerator family</a>. ~ Zhipeng Chen, Qisheng Wang, Yan Feng. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=adCv2IV5V3">Axiom-audited trustworthy formalization of game-theoretic commitment in Lean</a>. ~ Jan Ondras. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.26141v1">Classifying the groups of order p³ in Lean</a>. ~ Li Xiang. #LeanProver #ITP #Math</li> <li><a href="https://florisvandoorn.com/theses/WenrongZou.pdf">Formalization of formal group laws</a>. ~ Wenrong Zou. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.01544v1">Formalized q-series: The Rogers-Ramanujan identities and beyond</a>. ~ Kenny Lau, Seewoo Lee, Ken Ono. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=I8t5C1vYMR">Formalizing Scarf, Brouwer, and Nash in Lean</a>. ~ Yuwei Lyu, Kai Li. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=EsEqPLc0ef">From agents to axioms: Verifier-gated Lean formalization for statistical learning theory</a>. ~ Robert Sneiderman. #LeanProver #ITP</li> <li><a href="https://www.diva-portal.org/smash/get/diva2:2080968/FULLTEXT01.pdf">Mechanizing proofs from a course on programming language semantics in Lean</a>. ~ Hampus Toft. #LeanProver #ITP</li> <li><a href="https://openreview.net/pdf?id=jhbkIZOn5a">Reformalization of the Jordan curve theorem</a>. ~ Simon Guilloud, Sankalp Gambhir, Samuel Chassot. #Mizar #LeanProver #HOL_Light #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2606.28990v1">The fundamental theorem of Asset Pricing, formalized in Lean 4</a>. ~ Raphael Coelho. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/Tabulation_Hashing.html">Formalization of 3-independence of simple tabulation hashing (in Isabelle/HOL)</a>. ~ Wei De Leong, Yong Kiam Tan, Seng Joe Watt. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Lower_Bound_Certificates_Planning.html">Formalization of lower-bound certificates for optimal classical planning</a>. ~ Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Submodular_Greedy.html">Greedy algorithms for cardinality-constrained submodular maximization</a>. ~ Feier Lyu. #IsabelleHOL #ITP</li> <li><a href="https://era.ed.ac.uk/server/api/core/bitstreams/0abbb6de-2234-4219-91f5-6eb9853f9263/content">On the formalisation of Haag-Kastler nets in higher-order logic</a>. ~ Richard H. J. Schmoetten. #IsabelleHOL #ITP</li> <li><a href="https://lfmtp.github.io/lfmtp-page/workshops/2026/papers/lfmtp26_paper9.pdf">Anti-unification completeness analysis in PVS</a>. ~ Mauricio Ayala-Rincón et als. #PVS #ITP</li> <li><a href="https://arxiv.org/abs/2510.08452">Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory</a>. ~ Vojtěch Štěpančík. #Agda #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26809v1">The educational proof assistant Waterproof in an introductory proof course: Proof construction and learning processes</a>. ~ Pim Otte, Rogier Bos, Johan Commelin, Jim Portegies. #Waterproof #ITP #Teaching #Math</li> <li><a href="https://arxiv.org/abs/2605.21221v2">Binomial coefficients with divisors avoiding an interval</a>. ~ Hung M. Bui, Slava Naprienko, Kyle Pratt, Alexandru Zaharescu. #AI4Math</li> <li><a href="https://openreview.net/pdf?id=t9iBTo1zBG">Lean2Isabelle: Factorized cross-assistant proof translation</a>. ~ Guanyu Liu, Jingkun Ma, Derek F. Wong. #AI4Math #LeanProver #IsabelleHOL #ITP</li> <li><a href="https://www.researchgate.net/profile/Pawel-Przybylowicz-2/publication/408133759_Local_Reasoning_Models_for_Mathematics_-From_installation_through_concepts_to_workflows_with_Ollama/links/6a3ec9a668552924bb0257e5/Local-Reasoning-Models-for-Mathematics-From-installation-through-concepts-to-workflows-with-Ollama.pdf">Local reasoning models for mathematics (From installation, through concepts, to workflows with Ollama)</a>. ~ Paweł Przybyłowicz. #AI4Math</li> <li><a href="https://gilkalai.wordpress.com/2026/07/02/the-ramanujan-challenge-for-ai/">The Ramanujan challenge for AI</a>. ~ Gil Kalai. #AI4Math</li> <li><a href="https://rkirov.github.io/posts/jacobian/">The jacobian challenge retro</a>. ~ Rado Kirov. #AI4Math #LeanProver #ITP</li> <li><a href="https://exploring-better-ways.bellroy.com/haskell-koan-type-checked-non-empty-strings.html">Haskell koan: Type-checked non-empty strings</a>. ~ Mike Ledger. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/W5NYmUmjS3w">#RetoLean4: Construcción en Lean 4 de las soluciones del reto 7 (La composición de inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellHOL_LightIsabelleHOLITPLeanProverMathMizarPVShttps://jaalonso.github.io/vestigium/posts/2026/07/06-readings_shared_07-06-26/Mon, 06 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 28 June 2026 are:</p> <ul> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_7.lean">#RetoLean4: Soluciones del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/141015">#RetoLean4: Propuesta del reto 8 (Demostrar, con Lean 4, que una sucesión que posee infinitos términos con valor absoluto superior a 10 no puede converger a un límite cuyo valor absoluto sea menor que 5)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/06/28-what-it-means-to-be-a-mathematician-when-ai-does-the-math/">Reseña de «What it means to be a mathematician when AI does the math?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://projectdiderot.com/papers/3bcc794d-824c-40ee-9cd7-e84d5d86cd63">A weighted Turán sieve for twin primes via the Krafft geometry</a>. ~ Fernando Portela. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26442v1">AXLE: A cloud infrastructure for Lean 4 theorem proving utilities</a>. ~ Jimmy Xin, Alex Schneidman, Chris Cummins, Karun Ram, Srihari Ganesh, Jannis Limperg. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.25412">Formalization of line search methods by Lean</a>. ~ Yiyang Zhang, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.27041">Formalizing a many-sorted hybrid polyadic modal logic in Lean</a>. ~ Andrei-Alexandru Oltean, Bogdan Macovei, Ioana Leuştean. #LeanProver #ITP #Logic</li> <li><a href="https://pure.tue.nl/ws/portalfiles/portal/390531427/Arendsen_L.pdf">Formalization of template formulas in the modal μ-calculus in Isabelle/HOL</a>. ~ Lise Arendsen. #IsabelleHOL #ITP #Logic</li> <li><a href="https://isa-afp.org/entries/Perrons_Formula.html">Perron's formula (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://lawrencecpaulson.github.io/2026/06/26/Dottie_Number.html">The Dottie number</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP #Math #AI4Math</li> <li><a href="https://byorgey.github.io/blog/posts/2026/06/26/FTA.lagda.html">Proving the fundamental theorem of arithmetic in Agda</a>. ~ Brent Yorgey. #Agda #ITP #Math</li> <li><a href="https://spectrum.ieee.org/ai-in-mathematics">AI in mathematics is forcing big questions (What it means to be a mathematician when AI does the math?)</a>. ~ Benjamin Skuse. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2509.14274">Discovering new theorems via LLMs with in-context proof learning in Lean</a>. ~ Kazumi Kasaura, Naoto Onda, Yuta Oriike, Masaya Taniguchi, Akiyoshi Sannai, Sho Sonoda. #AI4Math #LeanProver #ITP</li> <li><a href="https://cacm.acm.org/blogcacm/the-leiden-declaration-mathematics-ai-and-making-our-values-explicit/">The Leiden Declaration: Mathematics, AI, and making our values explicit</a>. ~ Mateja Jamnik. #AI4Math</li> <li><a href="https://haskellforall.com/2026/06/record-type-inference-for-dummies">Record type inference for dummies</a>. ~ Gabriella Gonzalez. #Haskell #FunctionalProgramming</li> <li><a href="https://entropicthoughts.com/sicp-2-4-tagged-data-in-haskell">Tagged data in Haskell (SICP 2</a>.4.2). ~ kqr. #Haskell #FunctionalProgramming</li> <li><a href="https://sabela.datahaskell.com/c/1ea40000">Learn you a Haskell for great good! (Miran Lipovaca's classic introduction to Haskell, ported to runnable Sabela notebooks)</a>. #Haskell #FunctionalProgramming</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/Mon, 29 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 21 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.15520v1">A Lean 4 formalization of euclidean domain algorithms from a 1986 icon experimentation package</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16688v1">A Lean-certified proof of K₈(4, 2) = 23</a>. ~ Andreas Florath. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16144v1">EconCSLib: A Lean library for computational economics and AI-Assisted research</a>. ~ Xiaohui Bei, Jiajun Ma, Zhan Jing, Hongfei Fu, Zhihao Gavin Tang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.19761">Finishing Oltean's completeness proof in Lean 4 for hybrid logic L(∀)</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Logic</li> <li><a href="https://arxiv.org/abs/2606.16679v1">Formalizing chip-firing and Riemann-Roch for graphs in Lean 4</a>. ~ Dhyey Dharmendrakumar Mavani, Nathan Pflueger. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.20358">Formalizing extended complex numbers, Mobius transformations, and cross ratio in Lean 4</a>. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.19936">Prismriver: Formalization of music theory and algorithmic composition in Lean 4</a>. ~ Leni Aniva, Claire Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.14000v1">Formalizing numerical analysis: an agent pipeline and quality audit beyond kernel acceptance</a>. ~ Theodore Meek, Siyuan Ge, Di Qiu Xiang, Simon Chess, Vasily Ilin. #AI4Math #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/CNF_DNF_Exp_Blowup.html">A formalization of the exponential blowup in the transformations between CNF and DNF (in Isabelle/HOL)</a>. ~ Leon Raffael Schulz, Martin Desharnais-Schäfer, Jan Johannsen. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Countable_Multiset.html">Formalization of countable multisets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Weighted_Set.html">Formalization of weighted sets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://www.researchgate.net/profile/Daniel-Busing/publication/406962966_LLMemma_An_LLM-Guided_Isabelle_Proof_Synthesis_System/links/6a2b502d8ab2ac2a709716b1/LLMemma-An-LLM-Guided-Isabelle-Proof-Synthesis-System.pdf">LLMemma: An LLM-guided Isabelle proof synthesis system</a>. ~ Daniel Busing, Hyunkyung Lee, Isaac Mangano, Timothy Stanbrough, Tommy Tran. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://isa-afp.org/entries/Dottie_Number.html">The Dottie number (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Detour_Calculus.html">The detour calculus: Rigorous local deformation of integration contours</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.20351">A cubical formalisation of conditional independence, Bayesian conditioning, and Pearl's d-separation soundness</a>. ~ Karen Sargsyan. #Agda #ITP</li> <li><a href="https://recurial.com/gpce26main-p2.pdf">Programmable record types in Haskell</a>. ~ Arthur Jamet, Michael Vollmer. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-18-sheaves-in-haskell/">Sheaves in Haskell</a>. ~ Arnaud Spiwack. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-11-diff-package-static-checks/">Writing static checks to an unsuspecting library with Liquid Haskell</a>. ~ Xavier Góngora. #Haskell #FunctionalProgramming</li> <li><a href="https://www.johndcook.com/blog/2026/06/15/writing-prolog-with-chatgpt/">Writing Prolog with ChatGPT</a>. ~ John D. Cook. #Prolog #LogicProgramming #ChatGPT+ <a href="https://t.me/Retos_Matematicos/109557/140646">#RetoLean4: Propuesta del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140783">#RetoLean4: Propuesta del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_5.lean">#RetoLean4: Soluciones del reto 5 (Demostrar que 5²ⁿ - 2³ⁿ es divisible por 17)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_6.lean">#RetoLean4: Soluciones del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathChatGPTFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicLogicProgrammingMathProloghttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/Mon, 22 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/15-readings_shared_06-15-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.01356v1">A formally verified library of mathematical finance in Lean 4</a>. ~ Raphael Coelho. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.08902v1">A kernel-clean lean mechanization of Classical Lottery in Action and the Wakker-Debreu-Koopmans representation layer</a>. ~ Jingyuan Li, Ilia Tsetlin, Fan Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.05629v1">An automated proof that R(B₈, B₁₀) = 37</a>. ~ Jeremy Kalfus, Bernard Lidický. #LeanProver #ITP #Math</li> <li><a href="https://icerm.brown.edu/video_archive/4645">Complex analysis in PNT+ and real analysis as a game</a>. ~ Alex Kontorovich. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.09600">Formal foundations and proof-carrying certificates for q-ary covering codes in Lean 4</a>. ~ Andreas Florath. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2510.24060">Formalizing Schwartz functions and tempered distributions</a>. ~ Moritz Doll. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.01438v1">Formalizing multi-graded Brenner-Schröer Proj schemes and dilatations of rings in Lean4</a>. ~ Arnaud Mayeux, Jujian Zhang. #LeanProver #ITP #Math</li> <li><a href="https://hott-uf.github.io/2026/abstracts/HoTTUF_2026_paper_4.pdf">HoTTLean: Formalizing the groupoid model of MLTT</a>. ~ Steve Awodey, Mario Carneiro, Sina Hazratpour, Joseph Hua, Wojciech Nawrocki, Spencer Woolfson, Yiming Xu. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2501.15639v1">The continuous functional calculus in Lean</a>. ~ Anatole Dedecker, Jireh Loreaux. #LeanProver #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Gabbay_Labelled_Natural_Deduction.html">A reusable Isabelle/HOL framework for propositional labelled natural deduction</a>. ~ Arthur Freitas Ramos 📧, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://www.amazon.science/blog/ec2s-formally-verified-isolation-engine-provides-mathematical-assurance-of-virtual-machine-isolation">EC2’s formally verified “isolation engine” provides mathematical assurance of virtual-machine isolation</a>. ~ Dominic Mulligan, Nathan Chong. #IsabelleHOL #ITP.</li> <li><a href="https://isa-afp.org/entries/Euler_Exponential.html">Euler's exponential series as an infinite polynomial (in Isabelle/HOL)</a>. ~ Jacques D. Fleuriot. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Fair_Games_Theorem.html">Fair games theorem (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Feuerbach.html">Feuerbach's theorem (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/1202.4831v1">Formalization and implementation of algebraic methods in geometry</a>. ~ Filip Marić, Ivan Petrović, Danijela Petrović, Predrag Janičić. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/1202.4835v1">Isabelle/PIDE as platform for educational tools</a>. ~ Makarius Wenzel, Burkhart Wolff. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Mechanized_Metasemantics.html">Mechanized metasemantics of modal necessity: Valuation factorization and modal non-collapse</a>. ~ Yong-Dock Kim. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Cauchy_Davenport_Vosper.html">Vosper's theorem and the Cauchy–Davenport theorem via the polynomial method</a>. ~ Arthur Freitas Ramos , David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.05953v1">A proof in Coq that core logic is not paraconsistent</a>. ~ Joseph Vidal-Rosset. #CoqProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04704v1">Extraction and search in Rocq: Theorems, definitions and their dependencies</a>. ~ Jian Fang, Yingfei Xiong. #RocqProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.12462v1">Auto formalisation of Chaitin and of the surprise incompleteness theorem</a>. ~ Thierry Coquand. #Agda #ITP #AI4Math</li> <li><a href="https://www.newscientist.com/article/2526650-a-golden-age-of-maths-is-dawning-and-mathematicians-are-freaking-out/">A golden age of maths is dawning and mathematicians are freaking out</a>. ~ Alex Wilkins. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.05117v1">A problem of Andrews and Dhar on partitions</a>. ~ Simon Mahns, Ken Ono, Jujian Zhang. #AI4Math #AxiomProver #LeanProver #ITP</li> <li><a href="https://www.scientificamerican.com/article/ai-gets-a-c-on-its-hardest-math-test-yet/">AI scores a ‘C–’ on its hardest math test yet</a>. ~ Joseph Howlett. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.08728v1">Artificial intelligence for mathematical reasoning: an integrated survey of language models, neuro-symbolic systems, and verified discovery</a>. ~ Syed Rifat Raiyan, Mohsinul Kabir, Hasan Mahmud, Md Kamrul Hasan. #AI4Math</li> <li><a href="https://youtu.be/Dkqzqw8rxXI">DeepMind’s new AI found a strange new way to think</a>. ~ Károly Zsolnai-Fehér. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.quantamagazine.org/how-terry-tao-became-an-evangelist-for-ai-in-math-20260608/">How Terry Tao became an evangelist for AI in math</a>. ~ Kevin Hartnett. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.pourlascience.fr/sd/mathematiques/les-mathematiciens-se-positionnent-face-a-l-ia-29277.php">Les mathématiciens se positionnent face à l’IA</a>. ~ François Lassagne. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.12594v1">Pythagoras-Prover: Advancing efficient formal proving via augmented Lean formalisation</a>. ~ Joshua Ong Jun Leang, Zheng Zhao, Mihaela Cătălina Stoian, Qiyuan Xu, Haonan Li, Wenda Li, Shay B. Cohen, Eleonora Giunchiglia. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.johndcook.com/blog/2026/06/11/prolog-claude/">Solving a chess puzzle with Claude and Prolog</a>. ~ John D. Cook. #Prolog #LogicProgramming #LLMs</li> <li><a href="https://eyereasoner.github.io/eyelang/">eyelang: a small rule engine for Prolog-style Horn clauses over ordinary terms, lists, arithmetic, strings, and finite search</a>. ~ Jos De Roo. #LogicProgramming</li> </ul>AgdaAI4MathAxiomProverCoqProverIsabelleHOLITPLeanProverLLMsLogicProgrammingMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/06/15-readings_shared_06-15-26/Mon, 15 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2604.09808">A formal proof of the Ramanujan-Nagell theorem in Lean 4</a>. ~ Barinder S. Banwait. #LeanProver #ITP #AI4Math</li> <li><a href="https://recognitionphysics.org/Paperss/Machine_Verified_Physics_Paper_JAR_template-22.pdf">Certificate-based verification of derivation-graph structural properties in Lean 4/Mathlib</a>. ~ Megan Simons, Jonathan Washburn. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04311">Formal verification of the S-two AIR</a>. ~ Jeremy Avigad, Anat Ganor, Lior Goldberg, David Levit, Ohad Nir, Yoav Seginer, Alon Titelman. #LeanProver #ITP</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6336503%20Tamas%20Nagy.">From Itô to Black-scholes: A machine-verified derivation in Lean 4</a>. ~ #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.25556v2">Keep the proof state live: snapshotting for efficient tactic search in Lean 4</a>. ~ Austin Shen, Yunong Shi. #LeanProver #ITP</li> <li><a href="https://github.com/Vilin97/lean-pool">Lean Pool: a repo for preserving substantial sorry-free formalizations that are valuable but do not fit naturally into mathlib’s scope</a>. ~ Vasily Ilin et als. #LeanProver</li> <li><a href="https://seewoo5.github.io/assets/thesis.pdf">Positive quasimodular forms and linear programming bounds</a>. ~ Seewoo Lee. #LeanProver #ITP #Math</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6837298">We can't agree to disagree, formally: Aumann's theorem and assumption accounting in Lean</a>. ~ Ruize Chen, Ben Eltschig, Scott Duke Kominers, Ken Ono, Jujian Zhang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04877">Abduction prover in Isabelle/HOL</a>. ~ Yutaka Nagashima, Daniel Sebastian Goc. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2603.07771">Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar</a>. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP</li> <li><a href="https://github.com/Arthur742Ramos/isa-blueprint">IsabelleBlueprint: a new project-layer tool for Isabelle/HOL formalizations, inspired by Lean Blueprint but built specifically for Isabelle</a>. ~ Arthur. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Busy_Beaver.html">The Busy Beaver function (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/Gelfand_Naimark_Segal.html">The Gelfand–Naimark–Segal construction (in Isabelle/HOL)</a>. ~ Richard Schmoetten, Jacques D. Fleuriot. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2505.05362v1">Modelling and verifying neuronal archetypes in Coq</a>. ~ Abdorrahim Bahrami, Rébecca Zucchini, Elisabetta De Maria, Amy Felty. #CoqProver #ITP</li> <li><a href="https://www.researchgate.net/profile/James-Squires-2/publication/405332039_A_Brief_GuideComment_to_Autoformalization_in_Mathematical_Physics/links/6a16ed7f6fa5b75e31598a83/A-Brief-Guide-Comment-to-Autoformalization-in-Mathematical-Physics.pdf">A brief guide to autoformalization in mathematical physics</a>. ~ James Squires. #AI4Math #LeanProver #Autoformalization</li> <li><a href="https://gizmodo.com/a-new-declaration-warns-ai-could-threaten-the-foundations-of-mathematics-2000766375">A new declaration warns AI could threaten the foundations of mathematics</a>. ~ Gayoung Lee. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.01898v1">Auto formalisation of Goedel's second incompleteness theorem in binary recursive arithmetic</a>. ~ Thierry Coquand. #AI4Math #Agda #ITP #Logic #Math</li> <li><a href="https://youtu.be/WMo-RmSJQpE">Frontiers of AI for mathematical research</a>. ~ Carina Hong. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.15713">Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints</a>. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #AI4Math #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2606.02588">Lean-GAP: A dataset of formalized graduate algebra problems</a>. ~ Seewoo Lee et als. #AI4Math #Autoformalization #LeanProver #ITP</li> <li><a href="https://leidendeclaration.ai/">Leiden declaration on artificial intelligence and mathematics</a>. #AI4Math</li> <li><a href="https://www.implicator.ai/mathematicians-issue-leiden-declaration-on-ai-proof-rules/">Mathematicians issue Leiden Declaration on AI proof rules</a>. ~ Marcus Schuler. #AI4Math</li> <li><a href="https://phys.org/news/2026-06-mathematicians-dont-hype-ai-capabilities.html">Mathematicians say 'don't believe hype' on AI capabilities</a>. ~ Andrew Zinin. #AI4Math</li> <li><a href="https://arstechnica.com/tech-policy/2026/06/mathematicians-warn-of-ai-threats-to-profession-as-industry-encroaches/">Mathematicians warn of AI threats to profession as industry encroaches</a>. ~ Jeremy Hsu. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.03743">Proof-Refactor: Refactoring generated formal proofs into modular artifacts</a>. ~ Yiming Fu, Peixuan Liu, Zichen Wang, Kun Yuan. #AI4Math #LeanProver #ITP</li> <li><a href="https://logicalintelligence.com/blog/automatic-formal-verification-for-code-generation">Automatic formal verification for code generation</a>. ~ Patrick Hillmann, Boris Hanin. #FormalVerification</li> <li><a href="https://nauths.fr/en/2026/05/28/practical-use-of-monads.html">Practical uses of monads in Haskell</a>. ~ Antoine Leblanc. #Haskell #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2606.02367v1">A computational toolkit for engagement and scalable assessment in a large Logic course</a>. ~ Stephen M. Watt. #Logic #RacketLang</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/03-cota_inferior_de_sucesiones_convergentes/">#Calculemus: Demostraciones con Lean 4 de "Si a converge a L, entonces (∃ N)(∀ n ≥ N)[aₙ ≥ L - 1]"</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/01-suma_de_sucesiones_convergentes">#Calculemus: Demostraciones con Lean 4 de "Si aₙ converge a L y bₙ a M, entonces aₙ+bₙ converge a L+M"</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140141">#RetoLean4: Demostrar con Lean 4 que existen infinitos números primos</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_3.lean">#RetoLean4: Soluciones del reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathAutoformalizationCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathRacketLanghttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/Fri, 05 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/05-readings_shared_05-25-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 4 May 2026 are:</p> <ul> <li><a href="https://dwrensha.github.io/compfiles/imo.html">Compfiles: Catalog of math problems formalized in Lean</a>. ~ David Renshaw et als. #LeanProver #ITP #Math</li> <li><a href="https://scholarworks.uark.edu/cgi/viewcontent.cgi?article=1010&amp;context=mascuht">Primitive pythagorean triples in lean and reduction modulo odd prime powers</a>. ~ Luke Biddle. #LeanProver #Math</li> <li><a href="https://francis.naukas.com/2026/05/01/sobre-la-demostracion-del-problema-1196-de-erdos-por-gpt-5-4-pro/">Sobre la demostración del Problema #1196 de Erdős por GPT-5</a>.4 Pro. ~ Francisco R. Villatoro. #LeanProver #AI4Math</li> <li><a href="https://www.isa-afp.org/entries/Nagata-Factoriality.html">Nagata factoriality (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://www.isa-afp.org/entries/Iteration_Algebra.html">The algebra of iterative constructions (in Isabelle/HOL)</a>. ~ Kevin Batz, Benjamin Lucien Kaminski, Lucas Kehrer, Gerwin Klein, Henning Urbat, Todd Schmid. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2405.03264v1">Delooping generated groups in homotopy type theory</a>. ~ Camil Champin, Samuel Mimram, Emile Oleon. #Agda #ITP #HoTT</li> <li><a href="https://arxiv.org/abs/2604.27863v1">A monadic implementation of functional logic programs</a>. ~ Michael Hanus, Kai-Oliver Prott, Finn Teegen. #Haskell #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2604.25879v1">Arboretum.hs: Symbolic manipulation for algebras of graphs</a>. ~ Eugen Bronasco, Jean-Luc Falcone, Gilles Vilmart. #Haskell #FunctionalProgramming</li> <li><a href="https://jointhefreeworld.org/blog/articles/lisps/why-i-still-reach-for-scheme-instead-of-haskell">Why I still reach for Scheme and Lisp instead of Haskell</a>. ~ Josep Bigorra. #Haskell #Scheme #Lisp #FunctionalProgramming</li> <li><a href="https://youtu.be/t1MQqDhYLyA">Collatz conjecture in Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://www.jeremykun.com/2026/04/29/ckks-polynomials-the-canonical-embedding-and-encoding/">CKKS — Polynomials, the canonical embedding, and encoding</a>. ~ Jeremy Kun. #Python #Programming #Math</li> <li><a href="https://www.rabdos.ai/research/introducing-mathduels-ai">MathDuels: a self-play benchmark for mathematical reasoning</a>. ~ Rabdos. #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.21916">MathDuels: Evaluating LLMs as problem posers and solvers</a>. ~ Zhiqiu Xu, Shibo Jin, Shreya Arya, Mayur Naik. #AI4Math</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellHoTTIsabelleHOLITPLeanProverLispLogicProgrammingMathProgrammingPrologPythonSchemehttps://jaalonso.github.io/vestigium/posts/2026/05/05-readings_shared_05-25-26/Tue, 05 May 2026 04:00:00 GMT