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/2026/06/05-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/2026/02/05-readings_shared_02-04-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 4 February 2026 are:</p> <ul> <li><a href="https://blog.jle.im/entry/five-point-haskell-part-1-total-depravity.html">"Five-Point Haskell": Total depravity (and defensive typing)</a>. ~ Justin Le. #Haskell #FunctionalProgramming</li> <li><a href="https://www.isa-afp.org/entries/Sets_Revisited.html">'Sets' revisited: Working with a large category in Isabelle/HOL</a>. ~ Eugene W. Stark. #ITP #IsabelleHOL</li> <li><a href="https://youtu.be/AJfoqKDenpw">A conversation on the future of mathematics</a>. ~ Emily Riehl, Jesse Han, Jared Duker Lichtman. #ITP #LeanProver #Math</li> <li><a href="https://www.philipzucker.com/leancall/">Calling Lean functions as Python functions</a>. ~ Philip Zucker. #ITP #LeanProver #Python</li> <li><a href="https://arxiv.org/abs/2601.19809v1">Commutative algebras of series</a>. ~ Lorenzo Clemente. #ITP #Agda #Math</li> <li><a href="https://arxiv.org/abs/2602.01291v1">Construction-verification: A benchmark for applied mathematics in Lean 4</a>. ~ Bowen Yang et als. #AI4Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2601.18005v1">Flow-based extremal mathematical structure discovery</a>. ~ Gergely Bérczi, Baran Hashemi, Jonas Klüver. #AI4Math</li> <li><a href="https://arxiv.org/abs/2601.21734v1">Formalization of non-Archimedean functional analysis 1: spherically complete spaces</a>. ~ Yijun Yuan. #ITP #LeanProver #Math</li> <li><a href="https://lukastymo.com/posts/025-hello-haskell-a-hands-on-lab-for-2026/">Hello, Haskell: Getting started in 2026</a>. ~ Lukasz Tymoszczuk. #Haskell #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2601.21442">Irrationality of rapidly converging series: a problem of Erdős and Graham</a>. ~ Kevin Barreto, Jiwon Kang, Sang-hyun Kim, Vjekoslav Kovač, Shengtong Zhang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2601.22554v1">LeanArchitect: Automating blueprint generation for humans and AI</a>. ~ Thomas Zhu, Pietro Monticone, Jeremy Avigad, Sean Welleck. #AI4Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2602.02091">Mechanized undecidability of higher-order beta-matching</a>. ~ Andrej Dudenhefner. #ITP #CoqProver</li> <li><a href="https://kmicinski.com//cis352-s26/#schedule">Principles of programming languages</a>. ~ Kristopher Micinski. #Programming #RacketLang</li> <li><a href="https://kaue.me/wealth/career/propositional-logic-proofs-using-lean-4/">Propositional logic proofs using Lean 4</a>. ~ Kaue Silveira. #ITP #LeanProver #Logic #Math</li> <li><a href="https://youtu.be/MH3lG7V7SuU">Recent advances in LLMs for mathematics</a>. ~ Sebastien Bubeck. #AI4Math</li> <li><a href="https://arxiv.org/abs/2601.22401v1">Semi-autonomous mathematics discovery with Gemini: A case study on the Erdős problems</a>. ~ Tony Feng et als. #AI4Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2601.21843v1">The Leibniz adjunction in homotopy type theory, with an application to simplicial type theory</a>. ~ Tom de Jong, Nicolai Kraus, Axel Ljungström. #ITP #Agda</li> <li><a href="https://unnamed.website/posts/evolution-lean-programmer/">The evolution of a Lean programmer</a>. #ITP #LeanProver #FunctionalProgramming</li> </ul>AgdaAI4MathCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathProgrammingPythonRacketLanghttps://jaalonso.github.io/vestigium/posts/2026/02/05-readings_shared_02-04-26/Thu, 05 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/04/15-readings_shared_04-15-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 15 April 2025 are</p> <ul> <li><a href="https://arxiv.org/abs/2504.10246">Simplified and verified: A second look at a proof-producing union-find algorithm</a>. ~ Lukas Stevens, Rebecca Ghidini. #ITP #IsabelleHOL</li> <li><a href="https://www.isa-afp.org/entries/First_Order_Rewriting.html">First-order rewriting (in Isabelle/HOL)</a>. ~ René Thiemann et als. #ITP #IsabelleHOL</li> <li><a href="https://www.isa-afp.org/entries/Proof_Terms_Term_Rewriting.html">Proof terms for term rewriting (in Isabelle/HOL)</a>. ~ Christina Kirk. #ITP #IsabelleHOL</li> <li><a href="https://www.isa-afp.org/entries/Kolmogorov_Chentsov.html">The Kolmogorov-Chentsov theorem (in Isabelle/HOL)</a>. ~ Christian Pardillo-Laursen, Simon Foster. #ITP #IsabelleHOL #Math</li> <li><a href="https://github.com/MoonshotAI/Kimina-Prover-Preview">Kimina-prover preview: Towards large formal reasoning models with reinforcement learning</a>. ~ Numina &amp; Kimi Team. #LLMs #LeanProver</li> <li><a href="https://alistairsavage.ca/mat1362/notes/MAT1362-Mathematical_reasoning_and_proofs.pdf">Mathematical reasoning &amp; proofs</a>. ~ Alistair Savage. #Math</li> <li><a href="https://gus-massa.blogspot.com/2025/04/decomposing-factorial-of-300k-as.html">Decomposing factorial of 300K as the product of 300K factors larger than 100K</a>. ~ Gustavo. #Programming #RacketLang #FunctionalProgramming #Math</li> <li><a href="https://protesilaos.com/emacs/emacs-lisp-elements">Emacs Lisp elements (A big picture view of the Emacs Lisp programming language)</a>. ~ Protesilaos Stavrou. #Emacs #Lisp</li> <li><a href="https://tomscii.sig7.se/2025/04/The-Barium-Experiment">The Barium experiment</a>. ~ Tom Szilagyi. #CommonLisp</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/06/09-separacion_por_posicion/">#Exercitium: Separación por posición</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2021/06/12-monotonia_de_la_imagen_de_conjuntos/">#Calculemus: Demostraciones con Lean4 y con Isabelle/HOL de "Monotonía de la imagen de conjuntos"</a>. #LeanProver #IsabelleHOL #Math</li> </ul>CommonLispEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLispLLMsMathProgrammingRacketLanghttps://jaalonso.github.io/vestigium/posts/2025/04/15-readings_shared_04-15-25/Tue, 15 Apr 2025 04:00:00 GMT