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 13:00:01 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://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/2026/05/25-readings_shared_05-24-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 25 May 2026 are:</p> <ul> <li><a href="https://inria.hal.science/hal-05625464/document">Four–in-a-row in Rocq</a>. ~ Laurent Théry. #RocqProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.22763v1">Advancing mathematics research with AI-driven formal proof search</a>. ~ George Tsoukalas et als. #AI4Math #LeanProver</li> <li><a href="https://openai.com/index/model-disproves-discrete-geometry-conjecture/">An OpenAI model has disproved a central conjecture in discrete geometry</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.20405">Putnam 2025 problems in Rocq using Opus 4</a>.6 and Rocq-MCP. ~ Guillaume Baudart, Marc Lelarge, Tristan Stérin, Jules Viennot. #AI4Math #RocqProver</li> <li><a href="https://arxiv.org/abs/2605.21200v1">Tao's equational proof challenge accepted (technical report)</a>. ~ Lydia Kondylidou, Jasmin Blanchette, Marijn J. H. Heule. #ATP #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.20120v1">Using Aristotle API for AI-assisted theorem proving in Lean 4: A formalisation case study of the Grasshopper problem</a>. ~ Gabriel Rongyang Lau. #AI4Math #LeanProver #ITP</li> <li><a href="https://korbonits.com/blog/2026-05-23-the-verification-problem/">The verification problem</a>. ~ Alexander R. Korbonits. #AI4Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/21-duplicar_una_sucesion_convergente/">#Calculemus: Demostraciones con Lean 4 de "Si aₙ converge a L, entonces 2aₙ converge a 2L"</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140007">#RetoLean4: Demostrar con Lean 4 que si aₙ converge a L, entonces 2aₙ converge a 2L</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_2.lean">#RetoLean4: Soluciones del reto 2 (Demostrar con Lean 4 que la sucesión 1, -1, 1, -1,</a>… no es convergente). #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/21-an-openai-model-has-disproved-a-central-conjecture-in-discrete-geometry/">Reseña de «An OpenAI model has disproved a central conjecture in discrete geometry»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/24-advancing-mathematics-research-with-ai-driven-formal-proof-search/">Reseña de «Advancing mathematics research with AI-driven formal proof search»</a>. #AI4Math #LeanProver</li> </ul>AI4MathATPITPLeanProverMathRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/05/25-readings_shared_05-24-26/Tue, 26 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/10-readings_shared_05-09-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 May 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2605.02113v1">A shallow embedding of Datalog in Lean</a>. ~ Ramy Shahin. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.02331v1">Bennett's conjecture in Lean 4: Counter-models for the PSR-reducibility of Spinoza's propositions V and XIV</a>. ~ Yuki Nakamura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.25962v1">Coherent rollout oracles for finite-horizon sequential decision problems</a>. ~ Nishant Shukla. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.18869">Global product intersection sets in semigroups</a>. ~ Wouter van Doorn, Pietro Monticone, Quanyu Tang. #LeanProver #ITP #Math</li> <li><a href="https://github.com/nileshtrivedi/lean-detective">LeanDetective: a Lean Library that can assist with deductive reasoning in crime investigations such as murder mysteries</a>. ~ Nilesh #LeanProver #ITP</li> <li><a href="https://gist.github.com/kim-em/20212c66bd144c5d3fa3b044402e2092">Mel Nathanson — How Harmonic's Aristotle solved some of my problems</a>. #LeanProver #ITP #Aristotle #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.01028v1">Stokes' theorem for smooth singular cubes in Lean 4: True pullback, bridges to mathlib4, and chain-level d²=0</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Aho_Corasick.html">Aho-Corasick string matching (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2605.02474v1">Certified qualitative analysis of the SIR ODE and reusable scalar lemmas in Isabelle/HOL</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Nash_Equilibrium.html">Nash equilibria for finite games 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/Banach_Tarski.html">The Banach–Tarski paradox in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://philarchive.org/archive/FIEBQA">Between Qed and truth (The permanent axiom trust boundary in machine-verified mathematics)</a>. ~ Ryan Christopher Fields. #CoqProver #ITP #Math</li> <li><a href="https://www.atlantis-press.com/article/126023793.pdf">Formal verification of Pohlig-Hellman algorithm for computing discrete logarithms with Coq</a>. ~ Jeremiah Daniel A. Regalario et als. #CoqProver #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s11225-026-10239-8">A general formalised framework for reasoning about display calculi</a>. ~ Rajeev Goré, Anthony Peigné. #RocqProver #ITP #Logic</li> <li><a href="https://lawrencecpaulson.github.io//2026/05/07/Mizar.html">Mizar: the first usable proof assistant for mathematics</a>. ~ Lawrence Paulson. #Mizar #ATP #Math</li> <li><a href="https://marcosh.github.io/post/2026/05/08/categorical-transformers.html">Categorical transformers</a>. ~ Marco Perone. #Haskell #FunctionalProgramming</li> <li><a href="https://well-typed.com/blog/2026/05/lay-annotation-land/">Exception annotations: Lay of the Land</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://augustss.github.io/MicroHs/web-mhs/">MicroHs in the browser</a>. ~ Lennart Augustsson. #Haskell #FunctionalProgramming</li> <li><a href="https://www.chargueraud.org/research/2026/bbe/bbe-and-extended-matching.pdf">Functional pearl: Binding boolean expressions and extended pattern matching</a>. ~ Arthur Charguéraud, Yanni Lefki. #Ocaml #FunctionalProgramming</li> <li><a href="https://gowers.wordpress.com/2026/05/08/a-recent-experience-with-chatgpt-5-5-pro/">A recent experience with ChatGPT 5.5 Pro</a>. ~ Timothy Gowers. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06651v1">AI co-mathematician: Accelerating mathematicians with agentic AI</a>. ~ Daniel Zheng et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06660v1">Verifier-backed hard problem generation for mathematical reasoning</a>. ~ Yuhang Lai, Jiazhan Feng, Yee Whye Teh, Ning Miao. #AI4Math</li> <li><a href="https://stanforddaily.com/2026/05/06/future-of-mathematics-symposium-2026/">‘Like space aliens landing’: Symposium weighs effect of AI on the future of mathematics</a>. ~ Angikar Ghosal. #AI4Math</li> <li><a href="https://brewminate.com/counting-beyond-mind-abacus-early-calculation/">Counting beyond the mind: The abacus and the origins of calculation</a>. ~ Matthew A. McIntosh. #Math #CompSci</li> <li><a href="https://brewminate.com/logarithms-slide-rules-human-reasoning/">Logarithms and slide rules: How calculation accelerated human reasoning</a>. ~ Matthew A. McIntosh. #Math #History</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/07-like-space-aliens-landing-symposium-weighs-effect-of-ai-on-the-future-of-mathematics/">Reseña de «'Like space aliens landing': Symposium weighs effect of AI on the future of mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/08-ai-co-mathematician-accelerating-mathematicians-with-agentic-ai/">Reseña de «AI co-mathematician: Accelerating mathematicians with agentic AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/09-una-experiencia-reciente-con-chatgpt-55-pro/">Reseña de «Timothy Gowers: A recent experience with ChatGPT 5.5 Pro»</a>. #AI4Math</li> </ul>AI4MathAristotleATPCompSciCoqProverFunctionalProgrammingHaskellHistoryIsabelleHOLITPLeanProverLogicMathMizarOCamlRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/05/10-readings_shared_05-09-26/Sun, 10 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/04/10-readings_shared_04-09-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 April 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2603.29970v1">ABC implies that Ramanujan's tau function misses almost all primes</a>. ~ David Kurniadi Angdinata et als. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2604.02450v1">Do we need frontier models to verify mathematical proofs?</a>. ~ Aaditya Naik, Guruprerana Shabadi, Rajeev Alur, Mayur Naik. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.03071v1">Automatic textbook formalization</a>. ~ Fabian Gloeckle, Ahmad Rammal, Charles Arnal, Remi Munos, Vivien Cabannes, Gabriel Synnaeve, Amaury Hayat. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.02598v1">Making written theorems explorable by grounding them in formal representations</a>. ~ Hita Kambhamettu, Will Crichton, Sean Welleck, Harrison Goldstein, Andrew Head. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.03789v1">Automated conjecture resolution with formal verification</a>. ~ Haocheng Ju et als. #AI4Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2604.03884v1">Formalizing CHSH rigidity in Lean 4</a>. ~ Tianrun Zhao, Nengkun Yu. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.05238v1">A prime-generated formalization of Nagata's factoriality theorem in Lean 4</a>. ~ Arthur F. Ramos, Ruy J. G. B. de Queiroz, Anjolina G. de Oliveira. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/uLGpTy6OoYI">A taste of LeanLang</a>. ~ Siddhartha Gadgil. #LeanProver #ITP #FunctionalProgramming</li> <li><a href="https://www.isa-afp.org/entries/SAT_Not_Const_Time.html">SAT is not solvable in constant time (in Isabelle/HOL)</a>. ~ Daniel Shea. #IsabelleHOL #Math</li> <li><a href="https://philpapers.org/archive/VOITXC.pdf">Theory X cannot exist: Machine-verified impossibility theorems in population ethics</a>. ~ Julian L. Voigt. #IsabelleHOL #ITP</li> <li><a href="https://www.isa-afp.org/entries/Abstract_Consistency_Property.html">Abstract consistency properties (in Isabelle/HOL)</a>. ~ Asta Halkjær From, Anders Schlichtkrull. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2603.29716v1">A graded modal dependent type theory with erasure, formalized</a>. ~ Andreas Abel, Nils Anders Danielsson, Oskar Eriksson. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2603.29137v1">An optimal 14-symbol hybrid basis for BCH-algebras</a>. ~ Mahesh Ramani, Shlok Kumar. #Prover9 #ATP #Math</li> <li><a href="https://arxiv.org/abs/2604.04898v1">QED-Nano: Teaching a tiny model to prove hard theorems</a>. ~ LM-Provers, Yuxiao Qu, Amrith Setlur, Jasper Dekoninck, Edward Beeching, Jia Li, Ian Wu, Lewis Tunstall, Aviral Kumar. #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.06107v1">Artificial intelligence and the structure of mathematics</a>. ~ Maissam Barkeshli, Michael R. Douglas, Michael H. Freedman. #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.06609">Short proofs in combinatorics, probability and number theory II</a>. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math</li> <li><a href="https://youtu.be/9Kicf4rzCHA">Mathematical methods and human thought in the age of AI</a>. ~ Terence Tao, Tanya Klowden. #AI #Math</li> </ul>AgdaAIAI4MathATPFunctionalProgrammingIsabelleHOLITPLeanProverMathProver9https://jaalonso.github.io/vestigium/posts/2026/04/10-readings_shared_04-09-26/Fri, 10 Apr 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/2026/01/25-readings_shared_01-24-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 24 January 2026 are:</p> <ul> <li><a href="https://www.isa-afp.org/entries/Abel_Limit_Theorem.html">Abel's limit theorem (in Isabelle/HOL)</a>. ~ Kangfeng Ye. #ITP #IsabelleHOL #Math</li> <li><a href="https://inria.hal.science/hal-05467238/file/thesis.pdf">A formalization of the downward Löwenheim-Skolem theorem in Coq</a>. ~ Timothée Huneau. #ITP #CoqProver #Logic #Math</li> <li><a href="https://cic.iacr.org/p/2/4/1">Formally verified number-theoretic transform</a>. ~ Alix Trieu. #ITP #RocqProver</li> <li><a href="https://inria.hal.science/hal-05464922/file/Reusing_HOLLight_library_in_Rocq-7.pdf">The HOL-Light library of multivariate real analysis in Rocq</a>. ~ Claudio Sacerdoti Coen, Abdelghani Alidra, Frédéric Blanqui. #ITP #RocqProver #HOL_Light #Math</li> <li><a href="https://arxiv.org/abs/2601.12592v1">Blurred drinker paradoxes and blurred choice axioms: Constructive reverse mathematics of the downward Löwenheim-Skolem theorem</a>. ~ Dominik Kirst, Haoyi Zeng. #ITP #CoqProver #Logic #Math</li> <li><a href="https://arxiv.org/abs/2601.12599v1">Elementary proofs of ring commutativity theorems</a>. ~ Michael Kinyon, Desmond MacHale. #ATP #Prover9 #Math</li> <li><a href="https://arxiv.org/abs/2601.15571">Verified polynomial-time reductions in Lean 4: formalizing the complexity of decision-relevant information</a>. ~ Tristan Simas. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2601.11757v1">Sequencelib: A computational platform for formalizing the OEIS in Lean</a>. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math</li> <li><a href="https://provables.org/sequencelib/">Sequencelib: A platform for formalizing OEIS sequences in Lean 4</a>. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math</li> <li><a href="https://arxiv.org/abs/2601.14027v1">Numina-Lean-agent: An open and general agentic reasoning system for formal mathematics</a>. ~ Junqi Liu et als. #ITP #LeanProver #Math</li> <li><a href="https://atcm.mathandtech.org/EP2025/invited/22361.pdf">ChatGPT and AI enhancing undergrad math</a>. ~ Matthias Kawski. #AI #Math</li> <li><a href="https://arxiv.org/abs/2601.13209v2">AI for mathematics: Progress, challenges, and prospects</a>. ~ Haocheng Ju, Bin Dong. #AI #Math #AI4Math #ITP #IsabelleHOL #CoqProver #LeanProver</li> <li><a href="https://francis.naukas.com/2026/01/23/sobre-la-resolucion-de-problemas-de-erdos-usando-inteligencia-artificial-generativa/">Sobre la resolución de problemas de Erdős usando inteligencia artificial generativa</a>. ~ Francisco R. Villatoro. #AI #Math #ITP #LeanProver</li> </ul>AIAI4MathATPCoqProverHOL_LightIsabelleHOLITPLeanProverLogicMathProver9RocqProverhttps://jaalonso.github.io/vestigium/posts/2026/01/25-readings_shared_01-24-26/Sun, 25 Jan 2026 04:00:00 GMT