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/2026/09/13-readings_shared_09-13-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 14 September 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.30782v2">A Lean 4 formalization of Scott's continuous lattices (1972)</a>. ~ Lars Warren Ericson. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.04279v1">A counterexample to a problem of Pommerenke on convex functions in the class Σ</a>. ~ Yuankai Guo, Xiaozhe Hu. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2609.11174">A four-valued graph model for conflict resolution: core framework and a machine-checked formalization in Lean 4</a>. ~ Yukiko Kato. #LeanProver#ITP #Math</li> <li><a href="https://www.researchgate.net/publication/413742491_A_Kernel-Checked_Proof_of_Fuglede's_Conjecture_for_the_Cyclic_Group_Z180Z">A kernel-checked proof of Fuglede's conjecture for the cyclic group Z/180Z</a>. ~ Javier Emilio Bazán Sánchez. #LeanProver #ITP #Math</li> <li><a href="https://palomar-registry.org/entry.html?id=PALOMAR-2026-09-07-000013&amp;version=1">Lean 4 formalization of the Gurvich-Naumova ternary partition theorem</a>. ~ JD Jones. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/mario-ullrich/Lean-SNumbers">Lean4 formalization of s-numbers (in the sense of Pietsch) and important inequalities</a>. ~ Mario Ullrich. #LeanProver #ITP #AI4Math</li> <li><a href="https://blog.computationalcomplexity.org/2026/09/navier-stokes-and-lean.html">Navier-Stokes and Lean</a>. ~ Lance Fortnow. #LeanProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.02978v1">SparseStack is an optimal oblivious subspace embedding</a>. ~ Diar Heidary. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.04481v1">Statistical theory in the age of machine-assisted mathematics: rethinking how theory is made and taught</a>. ~ Pietro Coretto. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/forum?id=VncRNbkX2q">Steering aesop for theorem proving: learning to configure symbolic solvers via multi-source neurosymbolic feedback</a>. ~ Kai-Yuan Jeng, Ru-Jun Wang, Wen-Tsuen Chen. #LeanProver #ITP #AI4Math</li> <li><a href="https://geoconuk.github.io/lean-misc-math/docs/MiscMath/Analysis/KolmogorovArnold.html">The Kolmogorov–Arnold representation theorem (in Lean 4)</a>. ~ George A. Constantinides. #LeanProver #ITP #Math</li> <li><a href="https://www.preprints.org/frontend/manuscript/97dfab6c32071c09ee05c54a6372b153/download_pub">Two boundary-certificate proofs of the Crouzeix theorem: fiberwise Fourier recurrence and defect-Gram telescoping</a>. ~ Qinyu Luo. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.07345v2">Monadic second-order logic in HOL: deep and shallow with automated faithfulness</a>. ~ Christoph Benzmueller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://isa-afp.org/entries/Foldes_Hammer.html">The Földes–Hammer characterization of split graphs (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Platonic_Solids.html">The five platonic solids (in Isabelle/HOL)</a>. ~ Evan Finken. #IsabelleHOL #ITP #Math</li> <li><a href="https://proofsandprompts.com/2026/09/08/autoformalization-but-why/">(Auto)formalization, but why?</a> ~ Seewoo Lee. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.johndcook.com/blog/2026/09/09/four-colors/">A 50-year-old computer-assisted proof</a>. ~ John D. Cook. #AI4Math</li> <li><a href="https://www.quantamagazine.org/ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908/">AI has solved one of math’s $1 million Millennium Prize Problems</a>. ~ Konstantin Kakaes. #AI4Math</li> <li><a href="https://www.scientificamerican.com/article/ai-may-have-just-solved-a-million-dollar-math-problem-the-field-will-never-be-the-same/">AI may have just solved a million-dollar math problem</a>. The field will never be the same. ~ Joseph Howlett. #AI4Math</li> <li><a href="https://mathscholar.org/2026/09/ai-software-complete-a-formal-proof-of-fermats-last-theorem/">AI software completes a formal proof of Fermat’s Last Theorem</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://arxiv.org/abs/2609.03478v1">AutoGraphForge: Towards automated graph theory discovery</a>. ~ Ján Pastorek. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.implicator.ai/clay-institute-navier-stokes-openai-proof-claim/">Clay Institute won't call Navier-Stokes solved after OpenAI proof claim</a>. ~ Marcus Schuler. #AI4Math</li> <li><a href="https://openai.com/index/navier-stokes-solution/">On the Navier–Stokes Millennium Prize Problem</a>. ~ OpenAI. #AI4Math</li> <li><a href="https://terrytao.wordpress.com/2026/09/11/on-the-existence-of-non-sofic-groups/">On the existence of non-sofic groups</a>. ~ Andreas Thom. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/12/on-the-impact-of-ai-on-the-mathematical-practice/">On the impact of AI on the mathematical practice</a>. ~ Manuel Rivera. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/12/the-association-for-human-mathematics/">The Association for Human Mathematics (AHM)</a>. ~ AHM communications group. #AI4Math</li> <li><a href="https://www.researchgate.net/publication/414030431_What_Lean_Checked_and_Astra_Didn't_Two_Kinds_of_Verification_One_Week_Apart">What Lean checked and Astra didn't: two kinds of verification, one week apart</a>. ~ Scott J. McCormick. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/07/what-is-mathematics-now-and-what-should-it-be/">What is mathematics now, and what should it be?</a> ~ Jeremy Avigad. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/08/whats-not-new/">What’s not new</a>. ~ Orr Shalit. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/09/09/how-to-welcome-llm-use-into-student-research-mentorship/">How to welcome LLM use into student research mentorship</a>. ~ Joshua Siktar. #AI</li> <li><a href="https://www.gaussianos.com/el-teorema-de-goldbach-euler/">El teorema de Goldbach-Euler</a>. ~ Miguel Ángel Morales. #Math</li> </ul>AIAI4MathIsabelleHOLITPLeanProverLeanProver#ITPLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/09/13-readings_shared_09-13-26/Mon, 14 Sep 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 10 August 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.08986v2">A formalization of the mean-field derivation of the Vlasov equation (Mathematician in the loop: AI-assisted Lean formalization as a strategy game)</a>. ~ Joseph K. Miller. #LeanProver #ITP #AI4Math</li> <li><a href="https://verse-lab.org/papers/leetproof-ase26.pdf">Certified program synthesis with a multi-modal verifier</a>. ~ Yueyang Feng et als. #LeanProver #FormalVerification</li> <li><a href="https://arxiv.org/abs/2608.02066v1">Every quasiperfect number has at least eight distinct prime factors</a>. ~ Akira Toyohara, Ye Tao, Siqiong Yao. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.29111v1">Fitting’s theorem and semirings of normal subgroups</a>. ~ Damiano Testa. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.06261">Game hopping in Lean</a>. ~ Stefan Dziembowski, Grzegorz Fabiański, Daniele Micciancio, Rafał Stefański. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.20244">Lean refactor: Multi-objective controllable proof optimization via agentic strategy search</a>. ~ Jialin Lu, Soonho Kong, Rodrigo Stehling, Kaiyu Yang, Zhangyang Wang. #LeanProver #ITP #AI4Math</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2025.2">Lean4Lean: Verifying a typechecker for Lean, in Lean</a>. ~ Mario Carneiro. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28459v1">LeanCSP: A framework for certifying constraint reformulation and solving in Lean</a>. ~ Pablo Manrique, Stefan Szeider. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.02295">MechGeo: Autoformalizing and proving euclidean geometry in Lean 4</a>. ~ Hao Shen, Junyu Guo, Tian Cui, Yuxuan Xiao, Lihong Zhi. #AI4Math #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/blog/2026-8-1-postmortem-for-kernel-soundness-bug-14576/">Postmortem for kernel soundness bug #14576</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/static/floc26/">The Lean theorem prover: design, evolution, and impact</a>. ~ Leo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.04228v1">Topological semantics for scoped computational paths</a>. ~ Arthur Freitas Ramos, Ruy J. G. B. de Queiroz, Anjolina Grisi de Oliveira, Tiago M. L. de Veras. #LeanProver #ITP #Math</li> <li><a href="https://francis.naukas.com/2026/08/02/un-error-en-el-nucleo-de-lean-aprovechado-por-una-ia-para-refutar-la-conjetura-de-collatz/">Un error en el núcleo de Lean aprovechado por una IA para refutar la conjetura de Collatz</a>. ~ Francisco R. Villatoro. #LeanProver #ITP #Math</li> <li><a href="https://www.andrew.cmu.edu/user/avigad/Students/rong_ms_thesis.pdf">Verifying Verus: A Lean 4 formalization of the SST-to-AIR expression translation</a>. ~ Shuge Rong. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/HOL_in_HOL_Deep.html">A deep embedding of HOL in HOL: soundness, completeness, consistency</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Dinitz_Garg_Goemans_Counterexample.html">A formal counterexample to the cost-preserving single-source unsplittable flow conjecture (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Q0_Completeness.html">Completeness of the Q₀ higher-order logic (in Isabelle/HOL)</a>. ~ Asta Halkjær From, Jonathan Julian Huerta Munive, Anders Schlichtkrull. #IsabelleHOL #ITP #Logic</li> <li><a href="https://youtu.be/nEf-WVtpEek">Isabelle: the last 40 years (and the next)</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Simson.html">The Wallace-Simson line theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://iwc2026.github.io/documents/iwc2026_proceedings.pdf#page=13">Verifying and generalizing simultaneous critical pairs</a>. ~ René Thiemann. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.01870">0/1-Polytopes with exponentially small edge expansion</a>. ~ Xiongxin Yang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.05142v1">A bijective proof of a partition theorem of Berkovich and Uncu</a>. ~ Michal Mogielnicki, Ken Ono, Niels Voss, Jujian Zhang. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28557">Completeness of the model space does not force regularity for infinite-dimensional Lie groups</a>. ~ Zongjian Han1, Fungo Liu. #AI4Math</li> <li><a href="https://varto.ai/news/putnambench/">How we solved PutnamBench (A look at formally proving undergraduate competition mathematics)</a>. #AI4Math #IsabelleHOL</li> <li><a href="https://assets-eu.researchsquare.com/files/rs-10387804/v1_covered_6fa9d06e-b7c7-404f-b3e2-1d1493471102.pdf">Mathematical scientific discovery using large language models: a systematic literature review</a>. ~ Vinita Gangaram Jansari et als. #AI4Math</li> <li><a href="https://mathscholar.org/2026/08/mathematicians-address-artificial-intelligence/">Mathematicians address artificial intelligence</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://www.understandingai.org/p/mathematicians-are-grappling-with">Mathematicians are grappling with the possibility that AI might eclipse them</a>. ~ Kai Williams. #AI4Math</li> <li><a href="https://github.com/anadim/anadim.github.io/raw/master/MIMO_Detection.pdf">Polynomial-time MIMO detection at the maximum-likelihood threshold</a>. ~ Dimitris Papailiopoulos. #AI4Math</li> <li><a href="https://trishullab.github.io/PutnamBench/leaderboard">PutnamBench Leaderboard (Benchmarking formal mathematical reasoning on the Putnam Mathematical Competition)</a>. #AI4Math #LeanProver #IsabelleHOL #Coq</li> <li><a href="https://trishullab.github.io/PutnamBench/">PutnamBench: A Multilingual competition-mathematics benchmark for formal theorem-proving</a>. ~ George Tsoukalas et als. #AI4Math</li> <li><a href="https://www.quantamagazine.org/why-the-legendary-erdos-problems-are-falling-to-ai-20260803/">Why the legendary Erdős problems are falling to AI</a>. ~ Konstantin Kakaes. #AI4Math</li> <li><a href="https://pandoc.org/twenty-years-of-pandoc.html">Twenty years of Pandoc</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://artificialanalysis.ai/">Independent analysis of AI (Understand the AI landscape to choose the best model and provider for your use case)</a>. #AI</li> <li><a href="https://www.microsiervos.com/archivo/ia/inteligencia-artificial-chatgpt-tareas-creatividad-imagenes.html">La lista de los más listos de la clase: el análisis de la «inteligencia» de las IA (y sus precios) en una sola página</a>. ~ @Alvy. #AI</li> <li><a href="https://t.me/Retos_Matematicos/109557/142397">#RetoLean4: Enunciado del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/142663">#RetoLean4: Enunciado del reto 14 (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_12.lean">#RetoLean4: Soluciones del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_13.lean">#RetoLean4: Soluciones del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/hodYneYNEWw">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 12</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/EcNgDxgNya8">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 13</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathCoqFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/Mon, 10 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 3 August 2026 are:</p> <ul> <li><a href="https://github.com/PierreSenellart/descriptive-complexity">A Lean 4 library for descriptive complexity</a>. ~ Pierre Senellart. #LeanProver #ITP</li> <li><a href="https://github.com/mbrcic/ai-safety-formalization-atlas">AI safety formalization Atlas</a>. ~ Mario Brčić et als. #LeanProver #ITP #AI</li> <li><a href="https://arxiv.org/abs/2607.23500v1">Formalizing flag algebras in Lean</a>. ~ Gyeongwon Jeong, Seonghun Park, Jihoon Hyun, Sang-il Oum, Hongseok Yang. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.22972v1">Learned interventions in Lean 4 grind</a>. ~ Evan Wang, Simon Chess, Sophie Szeto, Theodore Meek. #LeanProver #ITP</li> <li><a href="https://leanprover-community.github.io/lean4-metaprogramming-book/">Metaprogramming in Lean 4</a>. ~ Asei Inoue et als. #LeanProver #ITP</li> <li><a href="https://ml4sp.github.io/papers/2026/paper7.pdf">An LLM-based recommendation system for PVS</a>. ~ Nikson Bernardes Fernandes Ferreira, Mariano M. Moscato, Mauricio Ayala-Rincón. #PVS #ITP #LLMs</li> <li><a href="https://www.researchgate.net/publication/410760112_Show_Me_The_Money_An_Exercise_in_Proof-Driven_Software_Understanding">Show me the money: an exercise in proof-driven software understanding</a>. ~ Joseph Tafese, Karthik Nukala, Hassen Saïdi, Natarajan Shankar, Arie Gurfinkel, Giuliano Losa. #PVS #ITP #Autoformalization</li> <li><a href="https://link.springer.com/chapter/10.1007/978-3-032-32589-1_25">Growing HOLMS: A verified automated prover for Grzegorczyk logic in HOL Light</a>. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi. #HOL_Light #ITP</li> <li><a href="https://lawrencecpaulson.github.io/2026/07/30/Collatz.html">Why is it all in the kernel?</a> ~ Lawrence Paulson. #ITP #LeanProver #IsabelleHOL #RocqProver</li> <li><a href="https://arxiv.org/abs/2508.11136v1">Automating the derivation of unification algorithms (A case study in deductive program synthesis)</a>. ~ Richard Waldinger. #DeductiveProgramSynthesis</li> <li><a href="https://www.researchgate.net/publication/410760278_Pgeon_Generating_Tableau-Based_Provers_from_Declarative_Specifications_of_Logical_Calculi">Pgeon: Generating tableau-based provers from declarative specifications of logical calculi</a>. ~ Romain Sidhoum, Simon Robillard, David Delahaye. #ATP #Logic #Ocaml</li> <li><a href="https://arxiv.org/abs/2607.27298v1">From lecture notes to Lean: Formalizing a textbook on probability theory</a>. ~ Shuo Deng, Kenneth W. Shum. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.22524v1">Machine-checked arithmetic bit complexity of the Kannan-Bachem Smith normal form in Lean 4</a>. ~ Junye Ji. #AI4Math #LeanProver #ITP</li> <li><a href="https://borretti.me/article/mathematics-without-mathematicians">Mathematics without mathematicians</a>. ~ Fernando Borretti. #AI4Math</li> <li><a href="https://aimath.robertj1.com/">Open math problems claimed to be solved with AI</a>. ~ Robert Joseph. #AI4Math</li> <li><a href="https://pramaanalabs.ai/blog/pramaana-solves-imo-2026-in-lean-4-in-under-7-hours">Pramaana solves IMO 2026 in Lean 4 in under 7 hours (Pramaana’s Panini and Hardy systems formalized and proved all six IMO 2026 problems in Lean 4 in under seven hours and for less than $150)</a>. ~ Arnav Mehta. #AI4Math #LeanProver #ITP</li> <li><a href="https://cdn.openai.com/pdf/ten-proofs-oai.pdf">Ten advances in mathematics and theoretical computer science</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.27197">The Maxwell conjecture is false</a>. ~ Philip Arathoon, Gavin Ball, Matthew D. Kvalheim. #AI4Math</li> <li><a href="https://vibemathed.com/">VibeMathed: A website tracking mathematical problems solved by AI models - proved or disproved with a model in the loop</a>. #AI4Math</li> <li><a href="https://ubunlog.com/el-correcto-uso-de-los-parametros-en-un-modelo-de-inteligencia-artificial/">El correcto uso de los parámetros en un modelo de Inteligencia Artificial</a>. ~ Diego Germán González. #AI</li> <li><a href="https://haskell.foundation/news/2026-07-18/hiw-hew-2026-videos.html">2026 Haskell workshop videos now online</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://cdfa.github.io/existentials-on-a-leash/">Existentials on a leash</a>. ~ Colin de Roos. #Haskell #FunctionalProgramming</li> <li><a href="https://www.well-typed.com/blog/2026/07/falsify-4/">New falsify release</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://blog.haskell.org/quick-tips-for-fast-iteration-in-haskell/">Quick tips for fast iteration in Haskell</a>. ~ Tom Ellis, Laurent P. René de Cotret. #Haskell #FunctionalProgramming</li> <li><a href="https://codeberg.org/jaror/real-world-haskell">Real World Haskell Revived</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://funcall.blogspot.com/2026/07/vibe-coding-reconsidered.html">Vibe coding reconsidered</a>. ~ Joe Marshall. #CommonLisp #VibeCoding #AI4Coding</li> <li><a href="https://t.me/Retos_Matematicos/109557/142082">#RetoLean4: Enunciado del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_11.lean">#RetoLean4: Soluciones del reto 11 (Si la sucesión aₙ converge a L, entonces |aₙ| converge a |L|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/bktHsoZDWAQ">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 11</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathATPAutoformalizationCommonLispFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicMathOCamlPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/Mon, 03 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/27-readings_shared_07-27-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 27 July 2026 are:</p> <ul> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.35/LIPIcs.ITP.2026.35.pdf">A Lean tactic for normalizing expressions in an algebra over a ring</a>. ~ Arend Mellendijk. #LeanProver #ITP</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.26/LIPIcs.ITP.2026.26.pdf">An end-to-end verification of Keller’s conjecture</a>. ~ James Gallicchio, Cayden Codel, Jeremy Avigad, Marijn J. H. Heule. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20816v1">Cofinite zeros of high derivatives</a>. ~ Eric Hou. #LeanProver #ITP #Math</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.19/LIPIcs.ITP.2026.19.pdf">Formalizing the Bruck–Ryser–Chowla theorem: Combinatorial design theory in Lean</a>. ~ Eric Jonathan Wang, Elif Uskuplu. #LeanProver #ITP</li> <li><a href="https://icms-conference.org/2026/papers/paper10/main.pdf">Formalizing the Wu-Ritt characteristic set method in Lean 4</a>. ~ Yuxuan Xiao, Hao Shen, Junyu Guo, Dingkang Wang, Lihong Zhi. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20186">From Dag-Like proofs to boolean circuits in Lean</a>. ~ Lorenzo Saraiva, Edward Hermann Haeusler. #LeanProver #ITP</li> <li><a href="https://link.springer.com/content/pdf/10.1007/978-3-032-32589-1_7.pdf">grind: An SMT-inspired tactic for Lean 4</a>. ~ Kim Morrison, Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/Jacobian_Counterexample.html">Formal verification of an explicit counterexample to the jacobian conjecture</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://eprint.iacr.org/2026/1490.pdf">On the formal verification of polynomial commitments: two KZG constructions and the algebraic group model</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://www.cs.ru.nl/bachelors-theses/2026/Sophie_Krijgsman___1072493___Formalising_Standard_Deontic_Logic_and_Dyadic_Deontic_Logic_in_Rocq.pdf">Formalising standard deontic logic and dyadic deontic logic in Rocq</a>. ~ Sophie Krijgsman. #RocqProver #ITP #Logic</li> <li><a href="https://people.cs.nott.ac.uk/pszgmh/pickard-thesis.pdf">Dependent types for compiler calculation</a>. ~ Mitchell Pickard. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2607.17292v1">Topology in synthetic domain theory and its formalisation in Agda</a>. ~ Runze Xue. #Agda #ITP #Math</li> <li><a href="https://qiqt.org/QIQT_AI_Methodology.pdf">An audited human-AI loop for trustworthy Lean formalization: axiom-budget auditing, a goal-directed state report, and a conditional general-relativity case study</a>. ~ Paweł Kapłański. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.21187v1">Case study: proving sqrt(2) irrational with LPTP and an LLM</a>. ~ Fred Mesnard, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://arxiv.org/abs/2607.21196v1">Case study: solving P-99 with LPTP and an LLM</a>. ~ Fred Mesnard, Thierry Marianne, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://www.gaussianos.com/encontrado-un-contraejemplo-de-la-conjetura-jacobiana-con-claude-fable-5/">Encontrado un contraejemplo de la conjetura jacobiana con Claude Fable 5</a>. ~ Miguel Ángel Morales. #AI4Math</li> <li><a href="https://xenaproject.wordpress.com/2026/07/20/human-mathematicians-are-being-outcounterexampled/">Human mathematicians are being outcounterexampled</a>. ~ Kevin Buzzard. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/ai-views-interview.html">Interview: Terence Tao on AI</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.20503v1">LeanFlow: A case study in workflow-driven Lean autoformalization</a>. ~ Lazar Milikic, Simon Guilloud, Khanh Nguyen, Viktor Kuncak. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.17388v1">Mathematical discovery in the wild: AI-guided proofs in Banach space theory</a>. ~ Antonio Acuaviva, Pablo Acuaviva. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/slides/age-of-ai-icm-2026.pdf">Mathematics in the age of AI</a>. ~ Terence Tao. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.17477">On some problems from the Kourovka notebook</a>. ~ Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison. #AI4Math #LeanProver #ITP #Aristotle</li> <li><a href="https://mathoverflow.net/questions/513540/should-we-trust-ai-generated-formal-proofs-in-lean-4">Should we trust AI-generated formal proofs in Lean 4? ~ MathOverflow</a>. #AI4Math</li> <li><a href="https://github.com/TauCetiProject/TauCeti">Tau Ceti: a repository of formal mathematics, directed by human-written roadmaps, implemented and maintained by AI contributors, subject to adversarial review</a>. ~ Kim Morrison et als. #AI4Math #LeanProver #ITP</li> <li><a href="https://teorth.github.io/tao-web/ai-views.html">Terence Tao on AI in mathematics (and beyond)</a>. #AI4Math</li> <li><a href="https://web.mathi.uni-heidelberg.de/media/How_To_Read_Math_88bf1d2d47.pdf">How to read mathematics? (A study guide)</a>. ~ Petra Schwer. #Math</li> <li><a href="https://images.nvidia.com/pdf/Open-Weights-and-American-AI-Leadership.pdf">Open weights and american AI leadership</a>. #AI</li> </ul>AgdaAIAI4MathAristotleIsabelleHOLITPLeanProverLogicMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/27-readings_shared_07-27-26/Mon, 27 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 July 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.14082v1">Building Shor's algorithm in Lean: An agentic formalization of quantum attacks on RSA-2048 and P-256</a>. ~ Lei Zhang, Yusheng Zhao, Hongshun Yao, Xin Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.08656v1">Cantor measures with odd base do not admit Fourier frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.10216">Formalizing abstract simplicial complexes &amp; stellar subdivisions in Lean</a>. ~ Garett Cunningham, Daniel Zach, Stefan Friedl. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.13165v1">Interchange graphs of (0,1)-matrices are maximally Hamiltonian</a>. ~ Jeffrey S. Baggett, Huiya Yan. #LeanProver #ITP</li> <li><a href="https://archive.is/qJLGP#selection-663.0-667.0">Mathematicians put AI to work on Fermat's last theorem</a>. ~ Matthew Sparkes. #LeanProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.08366v1">Minimum modulus for the unique multiset-sum problem</a>. ~ José A. R. Fonollosa. #LeanProver #ITP</li> <li><a href="https://digitalcommons.dartmouth.edu/cgi/viewcontent.cgi?article=1080&amp;context=cs_senior_theses">Representing Lean proofs: Tactics, trajectories, search</a>. ~ Elisaveta Samoylov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.12655">Anti-unification completeness analysis in PVS</a>. ~ Mauricio Ayala-Rincón, Thaynara Arielly de Lima, Maria Júlia Dias Lima, Temur Kutsia, Marcos Mercandeli-Rodrigues. #PVS #ITP</li> <li><a href="https://arxiv.org/abs/2410.13508v1">Formalizing hyperspaces and operations on subsets of polish spaces over abstract exact real numbers</a>. ~ Michal Konečný, Sewon Park, Holger Thies. #CoqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.14999v1">Verification of a DPLL transition system in Rocq</a>. ~ Julia Dijkstra, Benedikt Ahrens. #RocqProver #ITP</li> <li><a href="https://isa-afp.org/entries/Conway_Circle.html">Conway's circle theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.10880">First-order modal logic in HOL: Deep and shallow embeddings with automated faithfulness</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://bford.info/pub/lang/paradox/paradox.pdf">Formalizing paradoxes in grounded arithmetic using Isabelle/HOL</a>. ~ Ananthajit Srikanth, Bryan Ford. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/MSOinHOL.html">Monadic second-order logic in HOL: Deep and shallow embeddings with automated faithfulness (Isabelle/HOL dataset)</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.32">New and formalized proofs for right-forward closures and core matrix interpretations</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Polynomial_Commitment_Schemes.html">Polynomial commitment schemes (in Isabelle/HOL)</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Right_Forward_Closures.html">Termination restricted to right-forward closures (in Isabelle/HOL)</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Chevalley_Warning.html">The Chevalley-Warning theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.08986v1">A formalization of the mean-field derivation of the Vlasov equation: AI-assisted Lean formalization as a strategy game</a>. ~ Joseph K. Miller. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.13899v1">AIMO interpretability challenge</a>. ~ Michal Štefánik et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.07779v1">From solvers to research: Large language model-driven formal mathematics at the research frontier</a>. ~ Eric Jiang, Xiao Liang, Yikai Zhang, Yingjia Wan, Mengting Li, Haikang Deng, Alexander K. Taylor, Justin Baker, Rushil Raghavan, Junyi Zhang, Ying Nian Wu, Andrea L. Bertozzi, Kai-Wei Chang, Raghu Meka, Matthew Sottile, Nanyun Peng, Amit Sahai, Terence Tao, Wei Wang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.09217v1">OpenProver: Agentic and interactive theorem proving with Lean 4</a>. ~ Matěj Kripner, Milan Straka. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.09721v1">The Ramanujan challenge for AI</a>. ~ Michael Shalyt, Rotem Kalisch, Carsten Schneider, Hila Barkan, Elyasheev Leibtag, John Campbell, Shachar Weinbaum, Tali Monderer, Ashvni Narayanan, Ido Kaminer. #AI4Math</li> <li><a href="https://blog.haskell.org/enterprise-haskell-at-h-e-b/">Enterprise Haskell at H-E-B</a>. ~ Joshua Miller. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/o3Q4RnP2u1I">GHC String interpolation</a>. ~ Brandon Chinn. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/qk_P8piUclI">Is there a future for a formally specified Haskell report?</a>. ~ David Binder. #Haskell #FunctionalProgramming #LeanProver #ITP</li> <li><a href="https://youtu.be/BtTaT90OvPE">Stable Haskell</a>. ~ Julian Ospald. #Haskell #FunctionalProgramming</li> <li><a href="https://1pt.co/Lean4Reto10Enunciado">#RetoLean4: Enunciado del reto 10 (Si una sucesión converge a un límite no nulo, entonces sus términos están eventualmente acotados inferiormente por la mitad del valor absoluto del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://1pt.co/Lean4Reto9">#RetoLean4: Soluciones del reto 9 (Unicidad del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/Swy_AW1aSMY">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 9</a>. #LeanProver #ITP #Math</li> </ul>AI4MathCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/Mon, 20 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 28 June 2026 are:</p> <ul> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_7.lean">#RetoLean4: Soluciones del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/141015">#RetoLean4: Propuesta del reto 8 (Demostrar, con Lean 4, que una sucesión que posee infinitos términos con valor absoluto superior a 10 no puede converger a un límite cuyo valor absoluto sea menor que 5)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/06/28-what-it-means-to-be-a-mathematician-when-ai-does-the-math/">Reseña de «What it means to be a mathematician when AI does the math?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://projectdiderot.com/papers/3bcc794d-824c-40ee-9cd7-e84d5d86cd63">A weighted Turán sieve for twin primes via the Krafft geometry</a>. ~ Fernando Portela. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26442v1">AXLE: A cloud infrastructure for Lean 4 theorem proving utilities</a>. ~ Jimmy Xin, Alex Schneidman, Chris Cummins, Karun Ram, Srihari Ganesh, Jannis Limperg. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.25412">Formalization of line search methods by Lean</a>. ~ Yiyang Zhang, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.27041">Formalizing a many-sorted hybrid polyadic modal logic in Lean</a>. ~ Andrei-Alexandru Oltean, Bogdan Macovei, Ioana Leuştean. #LeanProver #ITP #Logic</li> <li><a href="https://pure.tue.nl/ws/portalfiles/portal/390531427/Arendsen_L.pdf">Formalization of template formulas in the modal μ-calculus in Isabelle/HOL</a>. ~ Lise Arendsen. #IsabelleHOL #ITP #Logic</li> <li><a href="https://isa-afp.org/entries/Perrons_Formula.html">Perron's formula (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://lawrencecpaulson.github.io/2026/06/26/Dottie_Number.html">The Dottie number</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP #Math #AI4Math</li> <li><a href="https://byorgey.github.io/blog/posts/2026/06/26/FTA.lagda.html">Proving the fundamental theorem of arithmetic in Agda</a>. ~ Brent Yorgey. #Agda #ITP #Math</li> <li><a href="https://spectrum.ieee.org/ai-in-mathematics">AI in mathematics is forcing big questions (What it means to be a mathematician when AI does the math?)</a>. ~ Benjamin Skuse. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2509.14274">Discovering new theorems via LLMs with in-context proof learning in Lean</a>. ~ Kazumi Kasaura, Naoto Onda, Yuta Oriike, Masaya Taniguchi, Akiyoshi Sannai, Sho Sonoda. #AI4Math #LeanProver #ITP</li> <li><a href="https://cacm.acm.org/blogcacm/the-leiden-declaration-mathematics-ai-and-making-our-values-explicit/">The Leiden Declaration: Mathematics, AI, and making our values explicit</a>. ~ Mateja Jamnik. #AI4Math</li> <li><a href="https://haskellforall.com/2026/06/record-type-inference-for-dummies">Record type inference for dummies</a>. ~ Gabriella Gonzalez. #Haskell #FunctionalProgramming</li> <li><a href="https://entropicthoughts.com/sicp-2-4-tagged-data-in-haskell">Tagged data in Haskell (SICP 2</a>.4.2). ~ kqr. #Haskell #FunctionalProgramming</li> <li><a href="https://sabela.datahaskell.com/c/1ea40000">Learn you a Haskell for great good! (Miran Lipovaca's classic introduction to Haskell, ported to runnable Sabela notebooks)</a>. #Haskell #FunctionalProgramming</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/Mon, 29 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 21 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.15520v1">A Lean 4 formalization of euclidean domain algorithms from a 1986 icon experimentation package</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16688v1">A Lean-certified proof of K₈(4, 2) = 23</a>. ~ Andreas Florath. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16144v1">EconCSLib: A Lean library for computational economics and AI-Assisted research</a>. ~ Xiaohui Bei, Jiajun Ma, Zhan Jing, Hongfei Fu, Zhihao Gavin Tang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.19761">Finishing Oltean's completeness proof in Lean 4 for hybrid logic L(∀)</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Logic</li> <li><a href="https://arxiv.org/abs/2606.16679v1">Formalizing chip-firing and Riemann-Roch for graphs in Lean 4</a>. ~ Dhyey Dharmendrakumar Mavani, Nathan Pflueger. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.20358">Formalizing extended complex numbers, Mobius transformations, and cross ratio in Lean 4</a>. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.19936">Prismriver: Formalization of music theory and algorithmic composition in Lean 4</a>. ~ Leni Aniva, Claire Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.14000v1">Formalizing numerical analysis: an agent pipeline and quality audit beyond kernel acceptance</a>. ~ Theodore Meek, Siyuan Ge, Di Qiu Xiang, Simon Chess, Vasily Ilin. #AI4Math #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/CNF_DNF_Exp_Blowup.html">A formalization of the exponential blowup in the transformations between CNF and DNF (in Isabelle/HOL)</a>. ~ Leon Raffael Schulz, Martin Desharnais-Schäfer, Jan Johannsen. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Countable_Multiset.html">Formalization of countable multisets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Weighted_Set.html">Formalization of weighted sets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://www.researchgate.net/profile/Daniel-Busing/publication/406962966_LLMemma_An_LLM-Guided_Isabelle_Proof_Synthesis_System/links/6a2b502d8ab2ac2a709716b1/LLMemma-An-LLM-Guided-Isabelle-Proof-Synthesis-System.pdf">LLMemma: An LLM-guided Isabelle proof synthesis system</a>. ~ Daniel Busing, Hyunkyung Lee, Isaac Mangano, Timothy Stanbrough, Tommy Tran. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://isa-afp.org/entries/Dottie_Number.html">The Dottie number (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Detour_Calculus.html">The detour calculus: Rigorous local deformation of integration contours</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.20351">A cubical formalisation of conditional independence, Bayesian conditioning, and Pearl's d-separation soundness</a>. ~ Karen Sargsyan. #Agda #ITP</li> <li><a href="https://recurial.com/gpce26main-p2.pdf">Programmable record types in Haskell</a>. ~ Arthur Jamet, Michael Vollmer. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-18-sheaves-in-haskell/">Sheaves in Haskell</a>. ~ Arnaud Spiwack. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-11-diff-package-static-checks/">Writing static checks to an unsuspecting library with Liquid Haskell</a>. ~ Xavier Góngora. #Haskell #FunctionalProgramming</li> <li><a href="https://www.johndcook.com/blog/2026/06/15/writing-prolog-with-chatgpt/">Writing Prolog with ChatGPT</a>. ~ John D. Cook. #Prolog #LogicProgramming #ChatGPT+ <a href="https://t.me/Retos_Matematicos/109557/140646">#RetoLean4: Propuesta del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140783">#RetoLean4: Propuesta del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_5.lean">#RetoLean4: Soluciones del reto 5 (Demostrar que 5²ⁿ - 2³ⁿ es divisible por 17)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_6.lean">#RetoLean4: Soluciones del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathChatGPTFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicLogicProgrammingMathProloghttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/Mon, 22 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2604.09808">A formal proof of the Ramanujan-Nagell theorem in Lean 4</a>. ~ Barinder S. Banwait. #LeanProver #ITP #AI4Math</li> <li><a href="https://recognitionphysics.org/Paperss/Machine_Verified_Physics_Paper_JAR_template-22.pdf">Certificate-based verification of derivation-graph structural properties in Lean 4/Mathlib</a>. ~ Megan Simons, Jonathan Washburn. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04311">Formal verification of the S-two AIR</a>. ~ Jeremy Avigad, Anat Ganor, Lior Goldberg, David Levit, Ohad Nir, Yoav Seginer, Alon Titelman. #LeanProver #ITP</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6336503%20Tamas%20Nagy.">From Itô to Black-scholes: A machine-verified derivation in Lean 4</a>. ~ #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.25556v2">Keep the proof state live: snapshotting for efficient tactic search in Lean 4</a>. ~ Austin Shen, Yunong Shi. #LeanProver #ITP</li> <li><a href="https://github.com/Vilin97/lean-pool">Lean Pool: a repo for preserving substantial sorry-free formalizations that are valuable but do not fit naturally into mathlib’s scope</a>. ~ Vasily Ilin et als. #LeanProver</li> <li><a href="https://seewoo5.github.io/assets/thesis.pdf">Positive quasimodular forms and linear programming bounds</a>. ~ Seewoo Lee. #LeanProver #ITP #Math</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6837298">We can't agree to disagree, formally: Aumann's theorem and assumption accounting in Lean</a>. ~ Ruize Chen, Ben Eltschig, Scott Duke Kominers, Ken Ono, Jujian Zhang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04877">Abduction prover in Isabelle/HOL</a>. ~ Yutaka Nagashima, Daniel Sebastian Goc. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2603.07771">Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar</a>. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP</li> <li><a href="https://github.com/Arthur742Ramos/isa-blueprint">IsabelleBlueprint: a new project-layer tool for Isabelle/HOL formalizations, inspired by Lean Blueprint but built specifically for Isabelle</a>. ~ Arthur. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Busy_Beaver.html">The Busy Beaver function (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Gelfand_Naimark_Segal.html">The Gelfand–Naimark–Segal construction (in Isabelle/HOL)</a>. ~ Richard Schmoetten, Jacques D. Fleuriot. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2505.05362v1">Modelling and verifying neuronal archetypes in Coq</a>. ~ Abdorrahim Bahrami, Rébecca Zucchini, Elisabetta De Maria, Amy Felty. #CoqProver #ITP</li> <li><a href="https://www.researchgate.net/profile/James-Squires-2/publication/405332039_A_Brief_GuideComment_to_Autoformalization_in_Mathematical_Physics/links/6a16ed7f6fa5b75e31598a83/A-Brief-Guide-Comment-to-Autoformalization-in-Mathematical-Physics.pdf">A brief guide to autoformalization in mathematical physics</a>. ~ James Squires. #AI4Math #LeanProver #Autoformalization</li> <li><a href="https://gizmodo.com/a-new-declaration-warns-ai-could-threaten-the-foundations-of-mathematics-2000766375">A new declaration warns AI could threaten the foundations of mathematics</a>. ~ Gayoung Lee. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.01898v1">Auto formalisation of Goedel's second incompleteness theorem in binary recursive arithmetic</a>. ~ Thierry Coquand. #AI4Math #Agda #ITP #Logic #Math</li> <li><a href="https://youtu.be/WMo-RmSJQpE">Frontiers of AI for mathematical research</a>. ~ Carina Hong. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.15713">Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints</a>. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #AI4Math #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2606.02588">Lean-GAP: A dataset of formalized graduate algebra problems</a>. ~ Seewoo Lee et als. #AI4Math #Autoformalization #LeanProver #ITP</li> <li><a href="https://leidendeclaration.ai/">Leiden declaration on artificial intelligence and mathematics</a>. #AI4Math</li> <li><a href="https://www.implicator.ai/mathematicians-issue-leiden-declaration-on-ai-proof-rules/">Mathematicians issue Leiden Declaration on AI proof rules</a>. ~ Marcus Schuler. #AI4Math</li> <li><a href="https://phys.org/news/2026-06-mathematicians-dont-hype-ai-capabilities.html">Mathematicians say 'don't believe hype' on AI capabilities</a>. ~ Andrew Zinin. #AI4Math</li> <li><a href="https://arstechnica.com/tech-policy/2026/06/mathematicians-warn-of-ai-threats-to-profession-as-industry-encroaches/">Mathematicians warn of AI threats to profession as industry encroaches</a>. ~ Jeremy Hsu. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.03743">Proof-Refactor: Refactoring generated formal proofs into modular artifacts</a>. ~ Yiming Fu, Peixuan Liu, Zichen Wang, Kun Yuan. #AI4Math #LeanProver #ITP</li> <li><a href="https://logicalintelligence.com/blog/automatic-formal-verification-for-code-generation">Automatic formal verification for code generation</a>. ~ Patrick Hillmann, Boris Hanin. #FormalVerification</li> <li><a href="https://nauths.fr/en/2026/05/28/practical-use-of-monads.html">Practical uses of monads in Haskell</a>. ~ Antoine Leblanc. #Haskell #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2606.02367v1">A computational toolkit for engagement and scalable assessment in a large Logic course</a>. ~ Stephen M. Watt. #Logic #RacketLang</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/03-cota_inferior_de_sucesiones_convergentes/">#Calculemus: Demostraciones con Lean 4 de "Si a converge a L, entonces (∃ N)(∀ n ≥ N)[aₙ ≥ L - 1]"</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/01-suma_de_sucesiones_convergentes">#Calculemus: Demostraciones con Lean 4 de "Si aₙ converge a L y bₙ a M, entonces aₙ+bₙ converge a L+M"</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140141">#RetoLean4: Demostrar con Lean 4 que existen infinitos números primos</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_3.lean">#RetoLean4: Soluciones del reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathAutoformalizationCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathRacketLanghttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/Fri, 05 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/30-readings_shared_05-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 May 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2605.30106v1">A Rust-to-Lean verification pipeline with AI provers: an experience report</a>. ~ Natalia Klaus, Palina Tolmach, Juan Conejero. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.23772">Agentic proving for program verification</a>. ~ Alessandro Sosso, Akhil Arora, Bas Spitters. #LeanProver #ProgramVerification</li> <li><a href="https://arxiv.org/abs/2604.17703">Classification and deontic explosion for contrary-to-duty obligations</a>. ~ Bjørn Kjos-Hanssen. #LeanProver #Logic</li> <li><a href="https://www.proquest.com/openview/98e50cad68d44a56e5749b0292dfcd8f/">Formalization of commutative algebra and algebraic number theory</a>. ~ Madison Crim. #LeanProver #Math</li> <li><a href="https://github.com/rkirov/linear-algebra-done-right-lean">Lean companion to Axler's "Linear algebra done right"</a>. ~ Rado Kirov. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.05801">Self-correcting gossip protocols</a>. ~ Giorgio Cignarale, Hans van Ditmarsch, Stephan Felber, Malvin Gattinger, Hugo Rincon Galeana, Vaishnavi Sundararajan. #LeanProver</li> <li><a href="https://arxiv.org/abs/2506.20909">Diophantine equations over Z: Universal bounds and parallel formalization</a>. ~ Jonas Bayer, Marco David, Malte Hassler, Yuri Matiyasevich, Dierk Schleicher. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Seifert-Van-Kampen.html">The classical Seifert–van Kampen theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos , David Barros Hulak and Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.27633v1">Four paradoxes and a proof assistant: Burali-Forti, Diaconescu, Reynolds, and Hurkens in the coq-paradoxes library</a>. ~ Bernardo Alonso. #CoqProver #ITP #Math</li> <li><a href="https://github.com/facebookresearch/atlas-lean/">ATLAS - Autoformalized Textbook Library At Scale</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.29955v1">Formalizing mathematics at scale</a>. ~ Ahmad Rammal, Niket Patel, Fabian Gloeckle, Amaury Hayat, Julia Kempe, Remi Munos, Charles Arnal, Vivien Cabannes. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.25556%20~%20Austin%20Shen,%20Yunong%20Shi.">Keep the proof state live: Snapshotting for efficient tactic search in Lean 4</a>. #AI4Math #LeanProver</li> <li><a href="https://mathgames.es">MathGames: una plataforma de juegos y laboratorios matemáticos donde el aprendizaje se convierte en una experiencia divertida y retadora</a>. #Math</li> </ul>AI4MathCoqProverIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/05/30-readings_shared_05-29-26/Sat, 30 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 May 2026 are:</p> <ul> <li><a href="https://www.researchgate.net/profile/Arjun-Trivedi-5/publication/404396065_An_Arrow-Theoretic_Impossibility_Theorem_for_the_Ordinal_MVP_Aggregation_Problem">An Arrow-theoretic impossibility theorem for the ordinal MVP aggregation problem</a>. ~ Arjun Trivedi. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.13171v1">Formal conjectures: An open and evolving benchmark for verified discovery in mathematics</a>. ~ Moritz Firsching et als. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2605.03274v1">Formalizing the prime-field Singer construction and Sidon set infrastructure in Lean 4</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.13137v1">LeanSearch v2: Global premise retrieval for Lean 4 theorem proving</a>. ~ Guoxiong Gao et als. #AI4Math #LeanProver</li> <li><a href="https://youtu.be/Uc2zt198U_U">New mathematical workflows</a>. ~ Terence Tao. #AI4Math</li> <li><a href="https://isa-afp.org/entries/Combinatorial_Nullstellensatz.html">Alon’s Combinatorial Nullstellensatz (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, Ruy Jose Guerra Barretto de Queiroz, David Barros Hulak. #IsabelleHOL #ITP #Math</li> <li><a href="https://wrla2026.github.io/preproceedings/preproceedings.pdf#page=7">Generalization of Church-Rosser strategies for confluent abstract rewriting systems of the smallest uncountable cardinality</a>. ~ Ievgen Ivanov. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Mostowski_Collapse.html">The Mostowski collapse theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://link.springer.com/article/10.1007/s10817-026-09754-z">Verified tableaux: from modal logics to modal fixpoint logics</a>. #CoqProver #ITP #Logic</li> <li><a href="https://eshelyaron.com/sweep.html">Sweep: SWI-Prolog embedded in Emacs</a>. #Prolog #LogicProgramming #Emacs</li> <li><a href="https://arxiv.org/abs/2409.19379v1">Automated conjecturing in mathematics with TxGraffiti</a>. ~ Randy Davila. #AI4Math</li> <li><a href="https://rkirov.github.io/posts/three-cultures-of-math/">Three cultures of math</a>. ~ Rado Kirov. #Math #AI #AI4Math</li> <li><a href="https://krystalguo.com/blog/ai-math.html">What does AI do for the working mathematician?</a> ~ Krystal Guo. #AI4Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/139686">#RetoLean4: La sucesión aₙ = 1/n converge a 0</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/139685">#RetoLean4: Retos matemáticos con Lean 4</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/14-what-does-ai-do-for-the-working-mathematician_/">#Vestigium: Reseña de «What does AI do for the working mathematician?»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/10-three-cultures-of-math/">#Vestigium: Tres culturas matemáticas ante el avance de la IA</a>. #Math #AI #AI4Math</li> </ul>AIAI4MathCoqProverEmacsIsabelleHOLITPLeanProverLogicLogicProgrammingMathProloghttps://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/Fri, 15 May 2026 04:00:00 GMT