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 13:00:00 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://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/2026/08/03-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/2026/06/22-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/2026/04/04-readings_shared_04-04-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 4 April 2026 are:</p> <ul> <li><a href="https://leodemoura.github.io/blog/2026-4-2-why-lean/">Why Lean?</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.24823v1">A formalization of the Gelfond-Schneider theorem</a>. ~ Michail Karatarakis, Freek Wiedijk. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.23095v1">Formalizing Pick's theorem, efficiently</a>. ~ Michael Eisermann. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.26342v1">Lean on Vampire proofs (short paper)</a>. ~ Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, Michael Rawson. #LeanProver #ITP #Vampire #ATP</li> <li><a href="https://es.gizmodo.com/la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian-2000229508">La IA acaba de hacerle una pregunta incómoda a la física teórica. Qué pasa si algunos de sus resultados más citados nunca fueron tan sólidos como parecían</a>. ~ Martín Nicolás Parolari. #LeanProver</li> <li><a href="https://arxiv.org/abs/2604.01483v1">Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving</a>. ~ Devakh Rashie, Veda Rashi. #LeanProver #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2603.28406v1">Physics as code: From scans to theorems with ITP APIs in SU(5) model building</a>. ~ Sven Krippendorf, Joseph Tooby-Smith. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.27007v1">Pairwise independence of representation, classification, and composition in finite extensional magmas</a>. ~ Stefano Palmieri. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2603.28636v1">Optimal bounds for an Erdős problem on matching integers to distinct multiples</a>. ~ Wouter van Doorn, Yanyang Li, Quanyu Tang. #AI4Math #LeanProver #ITP #LLMs</li> <li><a href="https://hxrts.com/telltale/papers/paper1.pdf">Coherence for asynchronous buffered MPST: A mechanized metatheory</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper2.pdf">Computable dynamics for asynchronous MPST: Lyapunov descent, critical capacity, and decision procedures</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper3.pdf">Harmony from coherence in asynchronous MPST: A minimal erasure invariant for classical dynamics</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.25682v1">On the formalization of network topology matrices in HOL</a>. ~ Kubra Aksoy, Adnan Rashid, Osman Hasan, Sofiene Tahar. #ISabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.20405v1">Putnam 2025 problems in Rocq using Opus 4</a>.6 and Rocq-MCP. ~ Guillaume Baudart, Marc Lelarge, Tristan Stérin, Jules Viennot. #RocqProver #AI4Math</li> <li><a href="https://youtu.be/5fAWYqM9v8k">Representing graphs in Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://youtu.be/EjNalq6EihU">Encodings into the λ-calculus</a>. ~ Kristopher Micinski. #LambdaCalculus #Racket #FunctionalProgramming</li> <li><a href="https://stopa.io/post/269">What Gödel discovered</a>. ~ Stepan Parunashvili. #Logic #Math #Lisp #Programming</li> <li><a href="https://www.technologyreview.com/2026/03/25/1134642/this-startup-wants-to-change-how-mathematicians-do-math/">This startup wants to change how mathematicians do math</a>. ~ Will Douglas Heaven. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.29961v1">Short proofs in combinatorics and number theory</a>. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math</li> <li><a href="https://mathscholar.org/2026/04/how-effective-are-current-ai-models-on-mathematical-research-problems/">How effective are current AI models on mathematical research problems?</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.26524v1">Mathematical methods and human thought in the age of AI</a>. ~ Tanya Klowden, Terence Tao. #AI #Math</li> <li><a href="https://abuseofnotation.github.io/category-theory-illustrated/06_type/">Category theory illustrated: Types</a>. ~ Jencel Panic. #CategoryTheory #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/11-resena-de-leantutor-a-formally-verified-ai-tutor-for-mathematical-proofs/">Reseña de 'LeanTutor: A formally-verified AI tutor for mathematical proofs'</a>. #ITP #LeanProver #Math #AIforMath #Teaching</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-matp-bench-can-mllm-be-a-good-automated-theorem-prover-for-multimodal-problems/">Reseña de «MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems?»</a>. #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-mathesis-towards-formal-theorem-proving-from-natural-languages/">Reseña de «Mathesis: Towards formal theorem proving from natural languages»</a>. #AI #LLMs #Math #ITP #LeanProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hardest-problems-in-mathematics-physics-the-future-of-ai/">Reseña de «Hardest problems in mathematics, physics &amp; the future of AI»</a>. #ITP #LeanProver #AI #Math #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hablemos-de-lisp/">Reseña de «Hablemos de Lisp»</a>. #Lisp #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/01-diophantine-equations-over-z-universal-bounds-and-parallel-formalization/">Reseña de «Diophantine equations over Z: Universal bounds and parallel formalization»</a>. #ITP #IsabelleHOL #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/27-solving-formal-math-problems-by-decomposition-and-iterative-reflection/">Reseña de «Solving formal math problems by decomposition and iterative reflection»</a>. #AI4Math #LLMs #ProofAssistants #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/vestigium/">Reseña de «The Infinity Project (How to use AI and mathematics to prove and improve science and security)»</a>. #AI #Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-olympiad-level-formal-mathematical-reasoning-with-reinforcement-learning/">Reseña de «Olympiad-level formal mathematical reasoning with reinforcement learning»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/21-deepminds-latest-an-ai-for-handling-mathematical-proofs/">Reseña de «DeepMind’s latest: An AI for handling mathematical proofs»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/05-formalization-of-erdos-problems/">Reseña de «Formalization of Erdős problems»</a>. #ITP #LeanProver #Math #Autoformalization</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/13-resena-de-machine-assistance-and-the-future-of-research-mathematics/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/17-resena-de-mathematics-and-machine-creativity-a-survey-on-bridging-mathematics-with-ai/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/03-resena-de-completing-the-formal-proof-of-higher-dimensional-sphere-packing/">Reseña de «Completing the formal proof of higher-dimensional sphere packing»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/09-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/23-resena-de-coding-after-coders-the-end-of-computer-programming-as-we-know-it/">Reseña de «Coding after coders: The end of computer programming as we know it»</a>. #AI #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/24-resena-de-eval-awareness-in-claude-opus-46s-browsecomp-performance/">Reseña de «Eval awareness in Claude Opus 4</a>.6’s BrowseComp performance». #AI</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/25-resena-de-formal-verification-and-ai-are-reshaping-mathematical-research/">Reseña de «Formal verification and AI are reshaping mathematical research»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-in-math-rigor-is-vital-but-are-digitized-proofs-taking-it-too-far/">Reseña de «In math, rigor is vital</a>. But are digitized proofs taking it too far?». #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-can-machines-do-mathematics/">Reseña de «Can machines do mathematics?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-impulsar-las-matematicas-guiando-la-intuicion-humana-con-ia/">Reseña de «Advancing mathematics by guiding human intuition with AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/28-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-what-happens-when-ai-starts-checking-mathematicians-work/">Reseña de «What happens when AI starts checking mathematicians’ work»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-as-ai-keeps-improving-mathematicians-struggle-to-foretell-their-own-future/#AI4Math">Reseña de «As AI keeps improving, mathematicians struggle to foretell their own future»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-mathematics-in-the-library-of-babel/">Reseña de «Mathematics in the library of Babel»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-embracing-ai-and-formalization-experimenting-with-tomorrows-mathematical-tools/">Reseña de «Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-resena-de-this-startup-wants-to-change-how-mathematicians-do-math/">Reseña de «This startup wants to change how mathematicians do math»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/01-la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian/">Reseña de «La IA acaba de hacerle una pregunta incómoda a la física teórica</a>. Qué pasa si algunos de sus resultados más citados nunca fueron tan sólidos como parecían». #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/02-short-proofs-in-combinatorics-and-number-theory/">Reseña de «Short proofs in combinatorics and number theory»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-mathematical-methods-and-human-thought-in-the-age-of-ai/">Reseña de «Mathematical methods and human thought in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/09-accelerating-mathematics/">Reseña de «Accelerating mathematics»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-type-checked-compliance-deterministic-guardrails-for-agentic-financial-systems-using-lean-4-theorem-proving/">Reseña de «Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving»</a>. #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-what-godel-discovered/">Reseña de «What Gödel discovered»</a>. #Logic #Math #Lisp #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-why-lean/">Reseña de «Why Lean?»</a>. #LeanProver #ITP #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-deepseek-prover-v2-7b-bridges-the-gap-between-mathematical-thought-and-formal-code/">Reseña de «DeepSeek-Prover-V2-7B bridges the gap between mathematical thought and formal code»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/03-recent-advances-in-llms-for-mathematics/">Reseña de «Recent advances in LLMs for mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/31-aristotle-an-ai-theorem-prover-using-lean/">Reseña de «Aristotle, an AI theorem prover using Lean»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/24-sobre-la-resolucion-de-problemas-de-erdos-usando-inteligencia-artificial-generativa/">Reseña de «Sobre la resolución de problemas de Erdös usando inteligencia artificial generativa»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/09-the-story-of-erdos-problem-1026/">Reseña de «The story of Erdős problem #1026»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/07-50-years-of-proof-assistants/">Reseña de «50 years of proof assistants»</a>. #ITP #IsabelleHOL #LeanProver #CoqProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/18-teaching-real-analysis-as-a-game/">Reseña de «Teaching real analysis as a game»"</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-how-we-achieved-an-imo-medal-one-year-before-any-other-ai-system/">Reseña de «How we achieved an IMO medal, one year before any other AI system»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/08-a-new-paradigm-for-mathematical-proof/">Reseña de «A new paradigm for mathematical proof?»</a>. #Math #ITP #LeanProver #Agda</li> </ul>AgdaAIAI4MathAlphaProofATPAutoformalizationCategoryTheoryCoqProverFunctionalProgrammingIsabelleHOLITPLambdaCalculusLeanProverLispLLMsLogicLogicProgrammingMathPhysicsProgrammingPrologRacketRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/04/04-readings_shared_04-04-26/Sun, 05 Apr 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/03/20-readings_shared_02-19-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 March 2026 are:</p> <ul> <li><a href="https://aristotle.harmonic.fun/">Aristotle: The World's most advanced formal reasoning agent</a>. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.15770v1">Formalization of QFT (quantum field theory)</a>. ~ Michael R. Douglas, Sarah Hoback, Anna Mei, Ron Nissim. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.14663v1">Formalizing the classical isoperimetric inequality in the two-dimensional case</a>. ~ Miraj Samarakkody. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.17457">Synthetic differential geometry in Lean</a>. ~ Riccardo Brasca, Gabriella Clemente. #LeanProver #ITP #Math</li> <li><a href="https://www.isa-afp.org/entries/Axiom_Free_Ontological_Trinity.html">Formal verification of axiom-free gödelian ontological argument and trinity necessity proof in Isabelle HOL</a>. ~ Yong-Dock Kim. #IsabelleHOL #ITP</li> <li><a href="https://scholarlypublications.universiteitleiden.nl/access/item%3A4294827/download">In the mood for inference: Logic-based natural language inference with large language models</a>. ~ Bill Noble, Rasmus Blanck, Gijs Wijnholds. #Prover9 #ATP #LLMs</li> <li><a href="https://acertijodeldia.com">Acertijo del día: Un reto diario de lógica</a>. #Logic</li> </ul>ATPIsabelleHOLITPLeanProverLLMsLogicMathPhysicsProver9https://jaalonso.github.io/vestigium/posts/2026/03/20-readings_shared_02-19-26/Fri, 20 Mar 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/02/25-readings_shared_02-24-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 24 February 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2602.12772v1">Formalizing Gröbner basis theory in Lean</a>. ~ Junyu Guo, Hao Shen, Junqi Liu, Lihong Zhi. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2602.13247v1">Integral curves and flows on Banach manifolds in Lean</a>. ~ Weichen Winston Yin, Yury Kudryashov. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2602.17064v1">Formalization of two fixed-point algorithms in Hilbert spaces</a>. ~ Yifan Bai, Yantao Li, Jian Yu, Jingwei Liang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2602.18767v1">Nazrin: Atomic tactics for graph neural networks for theorem proving in Lean 4</a>. ~ Leni Aniva, Iori Oikawa, David Dill, Clark Barrett. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2503.19605v1">Lean formalization of generalization error bound by Rademacher complexity</a>. ~ Sho Sonoda, Kazumi Kasaura, Yuma Mizuno, Kei Tsukamoto, Naoto Onda. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2602.18657">DSLean: A framework for type-correct interoperability between Lean 4 and external DSLs</a>. ~ Tate Rowney, Riyaz Ahuja, Jeremy Avigad, Sean Welleck. #LeanProver #ITP</li> <li><a href="https://link.springer.com/content/pdf/10.1007/s10817-026-09747-y.pdf">A formal correctness proof of Edmonds’ blossom shrinking algorithm</a>. ~ Mohammad Abdulaziz, Kurt Mehlhorn. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2102.01167v1">Verifying the hashgraph consensus algorithm</a>. ~ Karl Crary. #CoqProver #ITP</li> <li><a href="https://phart3.github.io/2-groups-preprint.pdf">Classifying 2-groups in Homotopy Type Theory</a>. ~ Perry Hart, Owen Milner. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2602.16427">Formalized run-time analysis of active learning - coalgebraically in Agda</a>. ~ Thorsten Wißmann. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2602.18844v1">When Agda met Vampire</a>. ~ Artjoms Šinkarovs, Michael Rawson. #Agda #ITP #Vampire #ATP</li> <li><a href="https://arxiv.org/abs/2602.16809v1">Haskell meets Evariste</a>. ~ Paulo R. Pereira, Jose N. Oliveira. #Haskell #FunctionalProgramming</li> <li><a href="https://dl.acm.org/doi/full/10.1145/3788649">Math in the age of AI</a>. ~ Allyn Jackson. #AI4Math</li> <li><a href="https://arxiv.org/abs/2602.17016v1">M2F: Automated formalization of mathematical literature at scale</a>. ~ Zichen Wang et als. #AI4Math #ITP #LeanProver</li> <li><a href="https://www.arxiv.org/abs/2602.06176">Large language model reasoning failures</a>. ~ Peiyang Song, Pengrui Han, Noah Goodman. #LLMs #Reasoning</li> </ul>AgdaAI4MathATPCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathReasoningVampirehttps://jaalonso.github.io/vestigium/posts/2026/02/25-readings_shared_02-24-26/Wed, 25 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 February 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2602.15409v1">Hennessy-Milner logic in CSLib, the Lean computer science library</a>. ~ Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.15078v1">Computer science as infrastructure: the spine of the Lean computer science library (CSLib)</a>. ~ Christopher Henson, Fabrizio Montesi. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.12891">Pursuit of truth and beauty in Lean 4: Formally verified theory of grammars, optimization, matroids</a>. ~ Martin Dvorak. #LeanProver #ITP #Math #CompSci</li> <li><a href="https://rish987.github.io/files/thesis.pdf">Translating proofs from Lean to Dedukti</a>. ~ Rishikesh Vaishnav. #LeanProver #Dedukti #ITP</li> <li><a href="https://rkirov.github.io/posts/sets-vs-types/">From sets in math to types in Lean: Subtype, Fin, Set, Finset, and Fintype</a>. ~ Rado Kirov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2602.08384v1">Towards real-world industrial-scale verification: LLM-driven theorem proving on seL4</a>. ~ Jianyu Zhang et als. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2602.11035v1">Towards term-based verification of diagrammatic equivalence</a>. ~ Julie Cailler, Noé Delorme, Simon Perdrix, Sophie Tourret. #IsabelleHOL #ITP</li> <li><a href="https://www.mdpi.com/2297-8747/31/1/25">A Rocq-based formalization of Hilbert’s geometry: Building a reusable foundation for 3D perpendicularity theory and verification</a>. ~ Qimeng Zhang, Wensheng Yu. #RocqProver #ITP #Math</li> <li><a href="https://reference-global.com/download/article/10.2478/forma-2025-0008.pdf">A formal proof of Stirling’s formula</a>. ~ Yasushige Watase. #Mizar #ITP #Math</li> <li><a href="https://arxiv.org/abs/2602.16324v1">Case study: Saturations as explicit models in equational theories</a>. ~ Mikoláš Janota, Michael Rawson, Stephan Schulz. #ATP #Vampire</li> <li><a href="https://leodemoura.github.io/blog/2026/02/18/proof-assistants-in-the-age-of-ai.html">Proof assistants in the age of AI</a>. ~ Leonardo de Moura. #AI4Math #ITP</li> <li><a href="https://arxiv.org/abs/2412.16543v1">Mathematics and machine creativity: A Survey on bridging mathematics with AI</a>. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong. #AI4Math #ITP</li> <li><a href="http://jaalonso.github.io/exercitium/posts/2015/02/24-matriz_zigzagueante/">#Exercitium: Matriz zigzagueante</a>. #Haskell #FunctionalProgramming #Math</li> </ul>AI4MathATPCompSciCSLibDeduktiFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathMizarRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/Fri, 20 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/01/30-readings_shared_01-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 January 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2505.12933v1">Formalising the Bruhat-Tits tree</a>. ~ Judith Ludwig, Christian Merten. #ITP #LeanProver</li> <li><a href="https://github.com/ImperialCollegeLondon/FLT/raw/main/2026_EPSRC_TCC_course/20260122.pdf">Formalizing Fermat, Lecture 1</a>. ~ Kevin Buzzard. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/iphLzBF8aXU">Formalization of brownian motion in Lean</a>. ~ David Ledvinka. #ITP #LeanProver</li> <li><a href="https://youtu.be/sx6lFrsaBJU">New automation for Lean: grind</a>. ~ Kim Morrison. #ITP #LeanProver</li> <li><a href="https://youtu.be/AeHt3IyoBc8">MRiscX: Certified RISC-V interpreter with Hoare logic as a DSL</a>. ~ Julius Marx. #ITP #LeanProver</li> <li><a href="https://youtu.be/jb277s5Wqe0">Simpler do proofs with mvcgen</a>. ~ Sebastian Graf. #ITP #LeanProver</li> <li><a href="https://youtu.be/-TPhXXTMB70">Formalizing value distribution theory of complex analysis</a>. ~ Stefan Kebekus. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/HchdT3lg36E">The Lean module system</a>. ~ Sebastian Ullrich. #ITP #LeanProver</li> <li><a href="https://youtu.be/_TrTKnWU-to">Formalization of the Ionescu-Tulcea theorem in Mathlib</a>. ~ Etienne Marion. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/l2wIv8lsvYg">A bottom-up approach to formalisation in the FLT project</a>. ~ Salvatore Mercuri. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/AlY19FFW2ZI">The universal divided power algebra</a>. ~ María Inés de Frutos Fernández. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/KfIZn2zH8CA">CSLib: The Lean Computer Science Library</a>. ~ Fabrizio Montesi. #ITP #LeanProver</li> <li><a href="https://youtu.be/XoV8OC4l2IE">Formalisation of CW complexes</a>. ~ Hannah Scholz. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/e79TV9Xum0A">Formalizing Schwartz functions and tempered distributions</a>. ~ Moritz Doll. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/uttbYaTaF-E">lean-lsp-mcp: Tools for agentic interaction with Lean</a>. ~ Oliver Dressler. #ITP #LeanProver #AI</li> <li><a href="https://youtu.be/d0bvC2nshQ0">Tactics for the linear-bitwise fragment of bitvectors</a>. ~ Siddharth Bhat. #ITP #LeanProver</li> <li><a href="https://youtu.be/vEt07N_v-Yo">Coinductive predicates in Lean</a>. ~ Wojciech Różowski. #ITP #LeanProver</li> <li><a href="https://youtu.be/Wu8hyxqOar8">The state of Lean</a>. ~ Leo de Moura. #ITP #LeanProver</li> <li><a href="https://youtu.be/BVmhPmrAMGU">Locally nameless lambda calculi</a>. ~ Chris Henson. #ITP #LeanProver</li> <li><a href="https://youtu.be/cz9Q4TtveL0">Hopf algebras, affine group schemes and all of that</a>. ~ Yaël Dillies. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/UZzZrTR3o6I">Verification of model-checking techniques in Lean</a>. ~ Atticus Kuhn. #ITP #LeanProver</li> <li><a href="https://youtu.be/gSDLLBPDiKQ">Teaching real analysis as a video game</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/avhErya_gCg">Autoformalization for physics and engineering with Lean</a>. ~ Leopoldo Sarra. #ITP #LeanProver</li> <li><a href="https://youtu.be/zlku5Un57B8">Formalization of homotopy theory in Lean</a>. ~ Joël Riou. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/mq0P9BMyGPQ">The sphere packing project</a>. ~ Sidharth Hariharan, Seewoo Lee, Chris Birkbeck. #ITP #LeanProver</li> <li><a href="https://youtu.be/CD_GplIChms">Internal projectivity of the sequence space in Lean</a>. ~ Jonas van der Schaaf. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/ZzDpWjeUNdI">Formal verification of Rust cryptographic code in Lean with Aeneas</a>. ~ Son Ho. #ITP #LeanProver</li> <li><a href="https://youtu.be/KUN1v3lpREg">Better living through metaprogramming</a>. ~ Thomas R. Murrills. #ITP #LeanProver</li> <li><a href="https://youtu.be/S-jqKdwXpvo">Verified computation of real asymptotics</a>. ~ Vasilii Nesterov. #ITP #LeanProver</li> <li><a href="https://youtu.be/vp8VaI_MkwY">Lessons from the Carleson project</a>. ~ Floris van Doorn. #ITP #LeanProver</li> <li><a href="https://youtu.be/sZR-M9GRqkQ">The Mathlib initiative</a>. ~ Johan Commelin. #ITP #LeanProver</li> <li><a href="https://youtu.be/Uw39QPhh7RI">Formalizing class field theory</a>. ~ Michał Mrugała. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/XmD-Vl2iiqM">Aristotle, an AI theorem prover using Lean</a>. ~ Alex Best. #AI #Math #AI4Math #ITP #LeanProver #Aristotle</li> <li><a href="https://youtu.be/C71rdAoyI1A">Nori's construction in Lean</a>. ~ Sophie Morel. #ITP #LeanProver</li> <li><a href="https://youtu.be/SvATv2hadkI">Writing proofs by clicking</a>. ~ Jovan Gerbscheid. #ITP #LeanProver</li> <li><a href="https://youtu.be/Il8xUcO15pE">What's new in the Lean standard library</a>. ~ Markus Himmel, Sofia Rodrigues. #ITP #LeanProver</li> <li><a href="https://youtu.be/AFbnS9xuPhY">Metaprogramming the next generation of testing tools</a>. ~ Harry Goldstein. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2601.17473v1">LeanTutor: Towards a verified AI mathematical proof tutor</a>. ~ Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade. #AI #Math #AI4Math #ITP #LeanProver #LLMs</li> <li><a href="https://blog.samibadawi.com/2026/01/competitive-pure-functional-languages.html">Competitive pure functional languages</a>. ~ Sami Badawi. #FunctionalProgramming #Hakell #LeanProver</li> <li><a href="https://eprint.iacr.org/2026/107">Verified non-recursive calculation of Beneš networks applied to Classic McEliece</a>. ~ Wrenna Robson, Samuel Kelly. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2601.19327">A generalization of Boppana's entropy inequality</a>. ~ Boon Suan Ho. #ITP #LeanProver</li> <li><a href="https://www.isa-afp.org/entries/Swap_Distance.html">Swap distance (in Isabelle/HOL)</a>. ~ Manuel Eberl. #ITP #IsabelleHOL</li> <li><a href="https://arxiv.org/abs/2508.00459">Thinking machines: Mathematical reasoning in the age of LLMs</a>. ~ Andrea Asperti, Alberto Naibo, Claudio Sacerdoti Coen. #AI #Math #AI4Math #LLMs</li> </ul>AIAI4MathFunctionalProgrammingHakellIsabelleHOLITPLeanProverLLMsMathhttps://jaalonso.github.io/vestigium/posts/2026/01/30-readings_shared_01-29-26/Fri, 30 Jan 2026 04:00:00 GMT