<?xml version="1.0" encoding="utf-8"?>
<?xml-stylesheet type="text/xsl" href="../assets/xml/rss.xsl" media="all"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Vestigium (Publicaciones sobre Emacs)</title><link>https://jaalonso.github.io/vestigium/</link><description></description><atom:link href="https://jaalonso.github.io/vestigium/tags/emacs.xml" rel="self" type="application/rss+xml"></atom:link><language>es</language><copyright>Contents © 2026 &lt;a href="mailto:"&gt;José A. Alonso&lt;/a&gt; 
&lt;a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"&gt;
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src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"&gt;&lt;/a&gt;</copyright><lastBuildDate>Thu, 01 Oct 2026 13:00:00 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>Readings shared September 21, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/09/20-lecturas_compartidas_el_20-sep-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://mathstodon.xyz/@Jose_A_Alonso"&gt;Mastodon&lt;/a&gt; on 21 September 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.10579v1"&gt;A machine-checked proof of the Dong-Yang classification of optimal (n,4) binary codes for BSCs&lt;/a&gt;. ~ Shenghao Yang, Yanyan Dong. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.18261v1"&gt;Descriptive complexity in Lean: completeness by first-order reductions&lt;/a&gt;. ~ Pierre Senellart, Anton Gnatenko. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.16027v1"&gt;Formalization of Sullivan's no wandering domains theorem in Lean&lt;/a&gt;. ~ Ziang Li, Yusheng Luo. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.10793v1"&gt;Henstock-Kurzweil gauge integral in the non–gaussian regime: a machine-verified construction&lt;/a&gt;. ~ Yuri N. Berdinsky. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.philipzucker.com/elab_lean/"&gt;Lean metaprogramming etudes: execution is elaboration&lt;/a&gt;. ~ Philip Zucker. #LeanProver #ITP #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.19195v1"&gt;Lean-certified infinite counterexamples to written on the Wall II Conjecture 194&lt;/a&gt;. ~ Cameron Beeley. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.13780"&gt;Mechanizing Gödel's incompleteness theorems and provability logic&lt;/a&gt;. ~ Shogo Saitou, Mashu Noguchi. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.17027v1"&gt;Palindromic length in free groups: reflections, noncrossing matchings, and Catalan&lt;/a&gt;. ~ Junjie Liao. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/CRT_Product_Tree.html"&gt;Fast chinese remaindering via product trees (in Isabelle/HOL)&lt;/a&gt;. ~ Manuel Eberl. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Greibach_Hardest.html"&gt;Greibach’s hardest context-free language (in Isabelle/HOL)&lt;/a&gt;. ~ Tobias Nipkow. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Napoleon.html"&gt;Napoleon's theorem (in Isabelle/HOL)&lt;/a&gt;. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/System_F_Normalization.html"&gt;Strong normalization for Church-style system F (in Isabelle/HOL)&lt;/a&gt;. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://inria.hal.science/tel-05737923/"&gt;Structuring mathematics in dependent type theory&lt;/a&gt;. ~ Cyril Cohen. #RocqProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://terrytao.wordpress.com/2026/09/17/a-cern-for-ai-assisted-science/"&gt;A CERN for AI-assisted science?&lt;/a&gt; ~ Dimitris Koukoulopoulos. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/09/14/a-beginning-for-mathematics/"&gt;A beginning for mathematics&lt;/a&gt;. ~ Daniel Litt. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.17779v1"&gt;AI and human approaches to mathematical problem solving&lt;/a&gt;. ~ Yang Ding. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/subroy13/awesome-ai-proofs"&gt;Awesome AI proofs (A curated list of mathematical proofs generated by artificial intelligent systems, verified by automated theorem prover, and a list of successes and mishaps)&lt;/a&gt;. ~ Subhrajyoty Roy, Subrata Pal. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://sair.foundation/open-math-model/"&gt;Building open models for the mathematical community (An invitation from SAIR Foundation)&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://alkjash.github.io/ai-risk/"&gt;Existential risk from AI: an exposition for mathematicians&lt;/a&gt;. ~ Xiaoyu He. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://antieau.github.io/2026/09/15/fast-math-slow-math.html"&gt;Fast math/slow math&lt;/a&gt;. ~ Benjamin Antieau. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://birdsnfrogs.github.io/2026/09/12/Felix_qui_potuit_rerum_cognoscere_causas.html"&gt;Happy, those able to know the causes of things (An essay on LLMs and the Navier-Stokes equation)&lt;/a&gt;. ~ Nestor Guillen. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/3geDF-DAwpg"&gt;SOLVED: Navier-Stokes cracked by AI&lt;/a&gt;. | Numberphile ~ Tony Padilla.  #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2609.10867v1"&gt;Stable singularity of the Euler equations on ℝ³&lt;/a&gt;. ~ Adarsh Ganeshram, Valentin Duruisseaux, Anima Anandkumar. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/09/18/two-responses-to-a-severe-misalignment-of-ai-in-mathematics/"&gt;Two responses to "A severe misalignment of AI in mathematics"&lt;/a&gt;. ~ Timothy Nguyen, M. Levent Doğan. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/09/15/when-inventing-is-not-enough/"&gt;When inventing is not enough&lt;/a&gt;. ~ Lisa Valentini. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/09/19/where-will-all-the-papers-go/"&gt;Where will all the papers go?&lt;/a&gt; ~ David Craven. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://gowers.wordpress.com/2026/09/17/why-i-didnt-sign-the-fields-medallists-letter/"&gt;Why I didn’t sign the Fields medallists’ letter&lt;/a&gt;. ~ Tim Gowers. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://anekstein.com/posts/2026-08-22.html"&gt;Search over algebraic graphs&lt;/a&gt;. ~ David Anekstein. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://notxor.nueva-actitud.org/2026/09/13/gptel-emacs-y-la-ia.html"&gt;gptel: Emacs y la IA&lt;/a&gt;. ~ Notxor. #Emacs #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/07/13-eventualmentemayorigmitadabslimitepos/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 10 (Si aₙ → L con L ≠ 0, entonces |aₙ| ≥ |L|/2 eventualmente)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/07/19-convergencia_abs/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 11 (Si aₙ converge a L, entonces |aₙ| converge a |L|)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/07/27-eventualmente_menor_de_limsuc_menor/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 12 (Si aₙ → L, bₙ → M y L &amp;lt; M, entonces eventualmente aₙ &amp;lt; bₙ)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/06/14-teorema_del_emparedado/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 6 (teorema del emparedado)&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/06/21-composicion_de_funciones_inyectivas/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 7 (La composición de funciones inyectivas es inyectiva)&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/06/28-no_converge_a_limite_pequeno_si_infinitos_terminos_grandes/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 8 (Sucesiones con infinitos términos grandes no convergen a límites pequeños)&lt;/a&gt;. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/07/06-unicidad_del_limite_de_las_sucesiones_convergentes/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 9 (Unicidad del límite)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/143856"&gt;#RetoLean4: Enunciado del reto 19 (Las sucesiones convergentes son de Cauchy)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/09/07-convergencia_producto"&gt;#RetoLean4: Soluciones del reto 18 (Convergencia del producto de sucesiones convergentes)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>AI4Math</category><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Math</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/09/20-lecturas_compartidas_el_20-sep-26/</guid><pubDate>Mon, 21 Sep 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared August 31, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://mathstodon.xyz/@Jose_A_Alonso"&gt;Mastodon&lt;/a&gt; on 31 August 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.20793"&gt;A Lean 4 verification report for subregular affine cells and the level −1 vertex algebra of type D, ~ Sihai Jin&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.proofatlas.ai/papers/bondy-longest-cycle-proof/Bondy_Longest_Cycle_Formalized_Proof_2026-08-16.pdf"&gt;A formalized proof of Bondy’s minimum-degree longest-cycle conjecture&lt;/a&gt;. ~ Lech Mazur. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/profile/Ralf-Stephan/publication/413520035_Even_integral_parts_of_powers_of_square_roots/links/6a8aaf312cf67a11560ce505/Even-integral-parts-of-powers-of-square-roots.pdf"&gt;Even integral parts of powers of square roots&lt;/a&gt;. ~ Ralf Stephan. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2509.19632"&gt;Formalization of Harder-Narasimhan theory&lt;/a&gt;. ~ Yijun Yuan. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.23652v1"&gt;Improved bounds for the smallest 4-chromatic graph of girth six&lt;/a&gt;. ~ Glauco Rampone. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.25449v1"&gt;MathAdv: What theorem provers know, reason, formalize, and generalize&lt;/a&gt;. ~ Jiaxin Yuan et als. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://adam.math.hhu.de/#/g/k88-b/NumberTheoryGame"&gt;Number theory game (An introduction to integer arithmetic and formal proofs)&lt;/a&gt;. ~ kostya88. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.20432v1"&gt;ProofJudge: Tool-grounded LLM evaluation of formal proof quality in Mathlib&lt;/a&gt;. ~ Shane Caldwell. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.preprints.org/frontend/manuscript/e5c2b75afc9edc91e0c7c3164cbd210b/download_pub"&gt;Prove2Me: An open collaborative platform for scaling math formalization&lt;/a&gt;. ~ Shuze Chen, Xiaoyang Lu, Kunal Marwaha, Tianyi Peng, Henry Yuen. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Laurent_Annulus.html"&gt;Laurent series expansions on an annulus (in Isabelle/HOL)&lt;/a&gt;. ~ Manuel Eberl. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Miquel.html"&gt;Miquel's theorem in Isabelle/HOL&lt;/a&gt;. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Multitape_TM_Substrate.html"&gt;Multitape Turing machine substrate (in Isabelle/HOL)&lt;/a&gt;. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Multitape_Alphabet_Enlargement.html"&gt;Multitape alphabet enlargement (in Isabelle/HOL)&lt;/a&gt;. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Multitape_Alphabet_Reduction.html"&gt;Multitape alphabet reduction (in Isabelle/HOL)&lt;/a&gt;. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Multitape_Alphabet_Roundtrip.html"&gt;Multitape alphabet roundtrip (in Isabelle/HOL)&lt;/a&gt;. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://link.springer.com/article/10.1007/s10817-026-09756-x"&gt;Proving total correctness of top-down solvers with widening and narrowing&lt;/a&gt;. ~ Sarah Tilscher, Alexandra Graß, Helmut Seidl, Yannick Stade. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Trace_Based_Rely_Guarantee.html"&gt;Trace based semantics for rely guarantee (in Isabelle/HOL)&lt;/a&gt;. ~ Marialena Hadjikosti, Andrei Popescu, Jamie Wright. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.10181"&gt;A simple formalization of alpha-equivalence&lt;/a&gt;. ~ Kalmer Apinis, Danel Ahman. #RocqProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.23721v1"&gt;Autoformalizing the calculation of π₃(S²)&lt;/a&gt;. ~ Daniel Carranza, Chunyi Liu, Emily Riehl, Egbert Rijke. #Agda #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.23691v1"&gt;Autonomous mathematical discovery in an open-world multi-agent environment&lt;/a&gt;. ~ Stephen Chung, Wenyu Du, William J. Wesley. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/08/27/the-future-mathematical-system-ai-tools-human-contribution-and-mathematical-evaluation/"&gt;Evaluating mathematical merit (AI-reproducible work, human mathematical contribution, and a residual evaluation framework)&lt;/a&gt;. ~ Qi Guo. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.math.toronto.edu/mgualt/math-blog/posts/math-and-llm-2026/"&gt;Mathematics and the LLM: 2026 (A letter to the mathematical community, to be published in the Notices of the AMS)&lt;/a&gt;. ~ Marco Gualtieri. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/08/26/statement-on-ai-usage-for-phd-students/"&gt;Statement on AI usage for PhD students&lt;/a&gt;. ~ Manuel Rivera. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.23218v1"&gt;What is mathematics now, and what should it be?&lt;/a&gt; ~ Jeremy Avigad. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://entropicthoughts.com/curmudgeon-tries-language-server"&gt;A curmudgeon tries a language server&lt;/a&gt;. ~ kqr. #Haskell #FunctionalProgramming #Emacs #Lisp&lt;/li&gt;
&lt;li&gt;&lt;a href="https://mgarletmilani.com/blog/2026-06-03-tessellations/"&gt;Haskell diagrams: Tessellations&lt;/a&gt;. ~ Marcelo Garlet Milani. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://funcall.blogspot.com/2026/08/with-ai.html"&gt;(WITH-AI …)&lt;/a&gt; ~ Joe Marshall. #CommonLisp #AI4Coding&lt;/li&gt;
&lt;li&gt;&lt;a href="https://funcall.blogspot.com/2026/08/will-it-lisp.html"&gt;Will it Lisp?&lt;/a&gt; ~ Joe Marshall. #CommonLisp #VibeCoding&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.quantamagazine.org/does-computer-science-need-computers-20260828"&gt;Does computer science need computers?&lt;/a&gt; ~ Ben Brubaker. #CompSci&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.gaussianos.com/un-cuerno-finito-infinito/"&gt;Un cuerno finito-infinito&lt;/a&gt;. ~ Miguel Ángel Morales. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/06/07-52n_-_23n_es_divisible_por_17/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 5 (5²ⁿ - 2³ⁿ es divisible por 17)&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/05/31-infinitud_de_primos_v2/"&gt;#Calculemus: Demostraciones en Lean 4 del Reto 4 (Existen infinitos números primos)&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/143443"&gt;#RetoLean4: Enunciado del reto 17 (las sucesiones convergentes están acotadas)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_16.lean"&gt;#RetoLean4: Soluciones del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_15.lean"&gt;#RetoLean4: Soluciones del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/143325"&gt;#RetoLean4: Enunciado del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI4Math</category><category>CommonLisp</category><category>CompSci</category><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Lisp</category><category>Math</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/</guid><pubDate>Mon, 31 Aug 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared August 24, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/08/24-readings_shared_08-24-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://mathstodon.xyz/@Jose_A_Alonso"&gt;Mastodon&lt;/a&gt; on 24 August 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://github.com/yuanchenyang/lean_low_rank_univariate_sos"&gt;A Lean formalization of the main theorem of the paper "Low-rank univariate sum of squares has no spurious local minima"&lt;/a&gt;. ~ Chenyang Yuan. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.13757v1"&gt;A barrier-free synchronization algorithm for multi-engine AI accelerators&lt;/a&gt;. ~ Chungha Sung, Nikil V. Shyamsunder, Hanliang Zhang, Daniel Kroening, Joonwon Choi. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/WillWhistler/Regts-Sevenster"&gt;A proof of the Regts–Sevenster conjecture, formalized&lt;/a&gt;. ~ William Whistler. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/catskillsresearch/cardb"&gt;Cardinality of topological bases of a finite set&lt;/a&gt;. ~ Lars Warren Ericson. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/elliotglazer/erdos501"&gt;Erdős problem #501 in Lean 4&lt;/a&gt;. ~ Elliot Glazer. #LeanProver #ITP #Math #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/rkirov/jordan_pick"&gt;A Lean 4 formalization of Pick's theorem, the polygonal Jordan curve theorem, the full Jordan curve theorem, and Radó's theorem&lt;/a&gt;. ~ Rado Kirov. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.08656"&gt;Cantor measures with odd base do not admit Fourier frames&lt;/a&gt;. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2606.20358"&gt;Formalizing extended complex numbers, Möbius transformations, and cross ratio in Lean 4&lt;/a&gt;. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://primegaps.axiommath.ai/"&gt;Lean formalization of bounded gaps between primes&lt;/a&gt;. ~ Evan Chen, Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ken Ono, Ashvin Swaminathan, Jesse Thorner, Yunzhou Xie. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/fubinyan/ComplexVariables"&gt;Lean formalization of complex analysis&lt;/a&gt;. ~ Fubin Yan et als. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/gexahedron/sabidussi-lean"&gt;Lean formalization of the Sabidussi compatibility conjecture&lt;/a&gt;. ~ Nikolay Ulyanov. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/aimmerwahr/lean-math-exercises"&gt;Math exercises in Lean&lt;/a&gt;. ~ Anna Immerwahr. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/xinjiegit/ben_27_formalization"&gt;NUSLean: Lean 4 formalization of "A near-quadratic lower bound for sets with no unique sums"&lt;/a&gt;. ~ Xinjie He. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2606.26052"&gt;On the existence problem of regular Gabor frames&lt;/a&gt;. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://palomar-registry.org/"&gt;Palomar: A public registry of Lean-verified mathematics&lt;/a&gt;. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/"&gt;Palomar: a registry of Lean verified mathematics&lt;/a&gt;. ~Terence Tao. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/teorth/sendov"&gt;Sendov's conjecture in Lean&lt;/a&gt;. ~ Terence Tao. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.06693"&gt;Stable phase retrieval for spans of independent random variables&lt;/a&gt;. ~ Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos, Mitchell A. Taylor. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ceur-ws.org/Vol-4239/paper-Farjami-14.pdf"&gt;Constrained input/output logic in HOL: An algebraic embedding&lt;/a&gt;. ~ Ali Farjami, Luca Pasetto. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2601.00811"&gt;A naive encoding of Russell's paradox in type theory&lt;/a&gt;. ~ Zhuoyuan Qu. #CoqProver #Agda #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.18445v1"&gt;Formal verification of Romanov's triplet logic: A verified filter for sliding-window 3-CNF with application to structured formulas&lt;/a&gt;. ~ Dmitry V. Alexandrov. #RocqProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/08/19/changes-in-the-classroom-in-the-ai-era/"&gt;Changes in the classroom in the AI Era&lt;/a&gt;. ~ Benjamin Jaye, Galyna V. Livshyts. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://cacm.acm.org/blogcacm/llms-make-mathematics-easier-now-raise-the-bar/"&gt;LLMs make mathematics easier&lt;/a&gt;. Now raise the bar. ~ Marijn J. H. Heule. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/08/20/response-to-the-ai-dissenter-viewpoint/"&gt;Response to "The AI dissenter viewpoint"&lt;/a&gt;. ~ Anatoly Vitold Stankyavichyus. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2608.09191"&gt;A proof of the imbalance conjecture&lt;/a&gt;. ~ James Alexander Schreib, Yousof Yavari. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.math.ias.edu/~akshay/research/ReimaginingDetails.pdf"&gt;Human mathematics in the age of reasoning machines&lt;/a&gt;. ~ Akshay Venkatesh. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://proofsandprompts.com/2026/08/18/on-protecting-mathematics-from-llm-companies-monopoly/"&gt;On protecting mathematics from LLM companies’ monopoly&lt;/a&gt;. ~ Tian Lan. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/ZKF6dWzOiPA"&gt;The shape of math to come&lt;/a&gt;. ~ Alex Kontorovich. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.cs.ox.ac.uk/people/samuel.staton/papers/icfp2026-imp.pdf"&gt;Imprecise probabilistic programming, precisely (Credal sets via graded monads, BDDs, and semiring-parametric inference)&lt;/a&gt;. ~ Jack Liell-Cock, Sam Staton. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/wtMmw0HlXTg"&gt;ediprolog: Emacs does interactive Prolog&lt;/a&gt;. ~ Markus Triska. #Prolog #LogicProgramming #Emacs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/xHEnWvKmSKM"&gt;stdin | LLM | stdout&lt;/a&gt;. ~ karthink. #Emacs #LLMs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.bardman.dev/technology/switching-to-emacs/"&gt;My advice for users wanting to switch to Emacs&lt;/a&gt;. ~ Daniel Pinkston. #Emacs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/05/17-no_convergencia_-1n/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 2 (La sucesión 1, -1, 1, -1,&lt;/a&gt;… no es convergente). #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/05/24-si_a_converge_a_l_entonces_2a_converge_a_2l/"&gt;#Calculemus: Demostraciones con Lean 4 del Reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/143055"&gt;#RetoLean4: Enunciado del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_14.lean"&gt;#RetoLean4: Soluciones del reto (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/ZWtaXZSXLko"&gt;#Retolean4: Vídeo tutorial sobre cómo resolver el reto 14&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI4Math</category><category>CoqProver</category><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>LogicProgramming</category><category>Math</category><category>Prolog</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/08/24-readings_shared_08-24-26/</guid><pubDate>Mon, 24 Aug 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared May 14, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 14 May 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/profile/Arjun-Trivedi-5/publication/404396065_An_Arrow-Theoretic_Impossibility_Theorem_for_the_Ordinal_MVP_Aggregation_Problem"&gt;An Arrow-theoretic impossibility theorem for the ordinal MVP aggregation problem&lt;/a&gt;. ~ Arjun Trivedi. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2605.13171v1"&gt;Formal conjectures: An open and evolving benchmark for verified discovery in mathematics&lt;/a&gt;. ~ Moritz Firsching et als. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2605.03274v1"&gt;Formalizing the prime-field Singer construction and Sidon set infrastructure in Lean 4&lt;/a&gt;. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2605.13137v1"&gt;LeanSearch v2: Global premise retrieval for Lean 4 theorem proving&lt;/a&gt;. ~ Guoxiong Gao et als. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/Uc2zt198U_U"&gt;New mathematical workflows&lt;/a&gt;. ~ Terence Tao. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Combinatorial_Nullstellensatz.html"&gt;Alon’s Combinatorial Nullstellensatz (in Isabelle/HOL)&lt;/a&gt;. ~ Arthur Freitas Ramos, Ruy Jose Guerra Barretto de Queiroz, David Barros Hulak. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://wrla2026.github.io/preproceedings/preproceedings.pdf#page=7"&gt;Generalization of Church-Rosser strategies for confluent abstract rewriting systems of the smallest uncountable cardinality&lt;/a&gt;. ~ Ievgen Ivanov. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Mostowski_Collapse.html"&gt;The Mostowski collapse theorem (in Isabelle/HOL)&lt;/a&gt;. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://link.springer.com/article/10.1007/s10817-026-09754-z"&gt;Verified tableaux: from modal logics to modal fixpoint logics&lt;/a&gt;. #CoqProver #ITP #Logic&lt;/li&gt;
&lt;li&gt;&lt;a href="https://eshelyaron.com/sweep.html"&gt;Sweep: SWI-Prolog embedded in Emacs&lt;/a&gt;. #Prolog #LogicProgramming #Emacs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2409.19379v1"&gt;Automated conjecturing in mathematics with TxGraffiti&lt;/a&gt;. ~ Randy Davila. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://rkirov.github.io/posts/three-cultures-of-math/"&gt;Three cultures of math&lt;/a&gt;. ~ Rado Kirov. #Math #AI #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://krystalguo.com/blog/ai-math.html"&gt;What does AI do for the working mathematician?&lt;/a&gt; ~ Krystal Guo. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/139686"&gt;#RetoLean4: La sucesión aₙ = 1/n converge a 0&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/139685"&gt;#RetoLean4: Retos matemáticos con Lean 4&lt;/a&gt;. #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2026/05/14-what-does-ai-do-for-the-working-mathematician_/"&gt;#Vestigium: Reseña de «What does AI do for the working mathematician?»&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2026/05/10-three-cultures-of-math/"&gt;#Vestigium: Tres culturas matemáticas ante el avance de la IA&lt;/a&gt;. #Math #AI #AI4Math&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>AI4Math</category><category>CoqProver</category><category>Emacs</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Logic</category><category>LogicProgramming</category><category>Math</category><category>Prolog</category><guid>https://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/</guid><pubDate>Fri, 15 May 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared April 29, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/04/30-readings_shared_04-29-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 29 April 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://davidkinkead.github.io/conceptual_mathematics/"&gt;A Lean companion to «Conceptual mathematics»&lt;/a&gt;. ~ David Kinkead. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.23468v1"&gt;A milestone in formalization: The sphere packing problem in dimension 8&lt;/a&gt;. ~ Sidharth Hariharan, Christopher Birkbeck, Seewoo Lee, Ho Kiu Gareth Ma, Bhavik Mehta, Auguste Poiroux, Maryna Viazovska. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.23211v1"&gt;Formalizing $A_1^{(1)}$ curve neighborhoods in Lean 4&lt;/a&gt;. ~ Yihe Huang, Sizhe Cui, Jiaqi Wang, Jujian Zhang. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://leodemoura.github.io/static/paris2026/"&gt;Lean: extensible, scalable, trusted&lt;/a&gt;. ~ Leo de Moura. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/publication/404020451_The_Golden_Thread_A_Formally_Verified_Three-Stratum_Realization_of_the_Fibonacci_Eigenform"&gt;The golden thread (A formally verified three-stratum realization of the Fibonacci eigenform)&lt;/a&gt;. ~ Richard Goodman, Vladimir Veselov. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.24195v1"&gt;ZFLean: a framework for set-level mathematics in Lean&lt;/a&gt;. ~ Vincent Trélat. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.24021v1"&gt;QED: An open-source multi-agent system for generating mathematical proofs on open problems&lt;/a&gt;. ~ Chenyang An, Qihao Ye, Minghao Pan, Jiayaun Zhang. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Archimedes_Cattle.html"&gt;Archimedes' cattle problem (in Isabelle/HOL)&lt;/a&gt;. ~ Manuel Eberl. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Nominal_Unification.html"&gt;Nominal unification (in Isabelle/HOL)&lt;/a&gt;. ~ Guilherme Borges Brandão, Thomas Ammer, Daniele Nantes Sobrinho, Mauricio Ayala-Rinción, Christian Urban, Maribel Fernández, Mohammad Abdulaziz. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://users.cs.utah.edu/~blg/resources/pdf/jackson-brough-cubicalreals-2026.pdf"&gt;Formalizing the real numbers in Homotopy Type Theory with Cubical Agda&lt;/a&gt;. ~ Jackson Brough. #Agda #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/Z2bTpsO4fcc"&gt;What works and doesn't selling formal methods in industry&lt;/a&gt;. ~ Mike Dodds. #FormalMethods&lt;/li&gt;
&lt;li&gt;&lt;a href="https://blog.sigfpe.com/2026/04/introduction-i-want-to-return-to.html"&gt;Some type constructors are tensor products&lt;/a&gt;. ~ Dan Piponi (sigfpe). #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://doisinkidney.com/posts/2026-04-28-poly-trie.html"&gt;Tries for polynomials&lt;/a&gt;. ~ Donnacha Oisín Kidney. #Haskell #FunctionalProgramming #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://joshblais.com/blog/emacs-as-my-browser/"&gt;Emacs is my browser&lt;/a&gt;. ~ Joshua Blais. #Emacs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2026/04/27-no_convergencia_-1n/"&gt;Demostraciones con Lean 4 de "La sucesión 1, -1, 1, -1, &lt;/a&gt;… no es convergente". #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2026/04/28-las-matematicas-en-la-era-de-la-ia-de-la-escasez-a-la-abundancia-de-demostraciones/"&gt;Las matemáticas en la era de la IA: de la escasez a la abundancia de demostraciones&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI4Math</category><category>Emacs</category><category>FormalMethods</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Math</category><guid>https://jaalonso.github.io/vestigium/posts/2026/04/30-readings_shared_04-29-26/</guid><pubDate>Thu, 30 Apr 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared March 9, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/03/10-readings_shared_02-09-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 9 March 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://leanprover-community.github.io/blog/posts/simprocs-tutorial/"&gt;Fantastic simprocs and how to write them&lt;/a&gt;. ~ Yaël Dillies, Paul Lezeau. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.04376"&gt;Formalization in Lean of faithfully flat descent of projectivity&lt;/a&gt;. ~ Liran Shaul. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/JHEO7cplfk8"&gt;Formalizing a proof in Lean using Claude Code&lt;/a&gt;. ~ Terence Tao. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.08139v1"&gt;Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature&lt;/a&gt;. ~ Joseph Tooby-Smith. #LeanProver #ITP #Physics&lt;/li&gt;
&lt;li&gt;&lt;a href="https://naokitakata.com/quantum_superradiance_formalization.pdf"&gt;Formalizing unstable quasinormal modes and the quantum black hole bomb in Lean 4&lt;/a&gt;. ~ Naoki Takata. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.01463"&gt;Implementing dependent type theory inhabitation and unification&lt;/a&gt;. ~ Chase Norman, Jeremy Avigad. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2506.08321v1"&gt;LeanTutor: A formally-verified AI tutor for mathematical proofs&lt;/a&gt;. ~ Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade. #LeanProver #ITP #Math #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.03684"&gt;Mathematicians in the age of AI&lt;/a&gt;. ~ Jeremy Avigad. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.math.ias.edu/~akshay/mnotices.pdf"&gt;Shaping the future of mathematics in the age of AI&lt;/a&gt;. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.00896"&gt;Unbiasing symmetric monoidal categories in Lean&lt;/a&gt;. ~ Robin Carlier. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.07771v1"&gt;Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar&lt;/a&gt;. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://hal.science/hal-05532641v1/file/RD_paper20381.pdf"&gt;A topological rewriting of Tarski’s mereogeometry&lt;/a&gt;. ~ Richard Dapoigny. #CoqProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.04006"&gt;Proving and computing: The infinite pigeonhole principle and countable choice&lt;/a&gt;. ~ Zena M. Ariola, Paul Downen, Hugo Herbelin. #RocqProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/alexfmpe/semantic-satiation/blob/main/posts/003-the-floor-is-magma.md"&gt;The floor is magma&lt;/a&gt;. ~ Alexandre Esteves. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.quantamagazine.org/can-the-most-abstract-math-make-the-world-a-better-place-20260304/"&gt;Can the most abstract math make the world a better place?&lt;/a&gt; ~ Natalie Wolchover. #CategoryTheory #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2209.01259v1"&gt;Category theory for programming&lt;/a&gt;. ~ Benedikt Ahrens, Kobe Wullaert. #CategoryTheory #Haskell #LeanProver #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/CL1LAKMsyKg"&gt;Lambda calculus for dummies: The Church encoding&lt;/a&gt;. #LambdaCalculus #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://batsov.com/articles/2026/03/09/emacs-and-vim-in-the-age-of-ai/"&gt;Emacs and Vim in the age of AI&lt;/a&gt;. ~ Bozhidar Batsov. #Emacs #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://elpa.gnu.org/packages/doc/emacs-lisp-intro-es/emacs-lisp-intro-es.pdf"&gt;Una introducción a la programación en Emacs Lisp&lt;/a&gt;. ~ Robert J. Chassell, David Arroyo Menéndez. #Emacs #Lisp&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>AI4Math</category><category>CategoryTheory</category><category>CoqProver</category><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LambdaCalculus</category><category>LeanProver</category><category>Lisp</category><category>Math</category><category>Physics</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/03/10-readings_shared_02-09-26/</guid><pubDate>Tue, 10 Mar 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared January 4, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/01/05-readings_shared_01-04-26/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 4 January 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://youtu.be/4ykbHwZQ8iU"&gt;Terry Tao on the future of mathematics&lt;/a&gt;. #AI #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.joachim-breitner.de/blog/818-Seemingly_impossible_programs_in_Lean"&gt;Seemingly impossible programs in Lean&lt;/a&gt;. ~ Joachim Breitner. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://madvorak.github.io/2026_Dvorak_Martin_Thesis_draft.pdf"&gt;Pursuit of truth and beauty in Lean 4 (Formally verified theory of grammars, optimization, matroids)&lt;/a&gt;. ~ Martin Dvořák. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jipsen.github.io/slides/JipsenLATD2025.pdf"&gt;Computing and formalizing residuated lattices and relation algebras&lt;/a&gt;. ~ Peter Jipsen. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://riyazahuja.com/assets/clean_writeup.pdf"&gt;cLean: A verified domain-specific language for GPU kernel programming in Lean 4&lt;/a&gt;. ~ Riyaz Ahuja. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.cbmsweb.org/wp-content/uploads/2025/12/Ruthotto-CompMathAICourse.pdf"&gt;Lecture Notes: Computational mathematics and AI (A ten-lecture workshop series)&lt;/a&gt;. ~ Lars Ruthotto. #AI #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://personal.math.vt.edu/day/ProofsBook/"&gt;An introduction to proofs and the mathematical vernacular&lt;/a&gt;. ~ Martin Day. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://textbooks.aimath.org/"&gt;Open textbook initiative (The American Institute of Mathematics (AIM))&lt;/a&gt;. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://open.umn.edu/opentextbooks/subjects/mathematics"&gt;Open textbook library: Mathematics textbooks&lt;/a&gt;. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://protesilaos.com/codelog/2025-12-27-emacs-lisp-elements-epub-pdf/"&gt;Emacs Lisp Elements: EPUB and PDF versions now available&lt;/a&gt;. ~ Protesilaos Stavrou. #Emacs #Lisp&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>Emacs</category><category>ITP</category><category>LeanProver</category><category>Lisp</category><category>Math</category><guid>https://jaalonso.github.io/vestigium/posts/2026/01/05-readings_shared_01-04-26/</guid><pubDate>Mon, 05 Jan 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared September 4, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/09/05-readings_shared_09-04-25/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 4 September 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://www.joachim-breitner.de/blog/817-F91_in_Lean"&gt;F91 in Lean&lt;/a&gt;. ~ Joachim Breitner. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://leanfirststeps.blogspot.com/p/contents.html"&gt;Lean: First steps&lt;/a&gt;. ~ Tariq Rashid. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://lmao.bearblog.dev/acorn-ai-proving/"&gt;Acorn and the future of (AI?) theorem proving&lt;/a&gt;. ~ Guillermo Angeris.  #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2504.04942"&gt;Lemmanaid: Neuro-symbolic lemma conjecturing&lt;/a&gt;. ~ Yousef Alhessi et als. #ITP #IsabelleHOL #LLMs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/morphismtech/distributors/blob/main/blog.md"&gt;Distributors (Unifying parsers, printers &amp;amp; grammars)&lt;/a&gt;. ~ Eitan Chatav. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://notxor.nueva-actitud.org/2025/08/31/la-red-social-de-org-mode.html"&gt;La red social de org-mode&lt;/a&gt;. ~ Notxor. #Emacs #OrgMode&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/06/25-n_gramas/"&gt;#Exercitium: N gramas&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/06/26-sopa_de_letras/"&gt;#Exercitium: Sopa de letras&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>OrgMode</category><guid>https://jaalonso.github.io/vestigium/posts/2025/09/05-readings_shared_09-04-25/</guid><pubDate>Fri, 05 Sep 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared July 26, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/07/27-readings_shared_07-26-25/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 26 July 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://youtu.be/fvfzSjNoN9E"&gt;Higher order logic&lt;/a&gt;. ~ Mark Jago. #Logic&lt;/li&gt;
&lt;li&gt;&lt;a href="https://sachachua.com/blog/2025/07/my-emacs-writing-experience"&gt;My Emacs writing experience&lt;/a&gt;. ~ Sacha Chua. #Emacs #Org&lt;/li&gt;
&lt;li&gt;&lt;a href="https://sachachua.com/blog/2025/07/finding-the-shape-of-my-thoughts/"&gt;Finding the shape of my thoughts&lt;/a&gt;. ~ Sacha Chua. #Emacs #Org&lt;/li&gt;
&lt;li&gt;&lt;a href="https://xenodium.com/writing-experience-my-decade-with-org"&gt;Writing experience: My decade with Org&lt;/a&gt;. ~ Álvaro Ramírez. #Emacs #OrgMode&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2019/06"&gt;#Exercitium: Problemas de programación con Haskell (junio de 2019)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2019/05"&gt;#Exercitium: Problemas de programación con Haskell (mayo de 2019)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2019/04"&gt;#Exercitium: Problemas de programación con Haskell (abril de 2019)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2019/03"&gt;#Exercitium: Problemas de programación con Haskell (marzo de 2019)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>Logic</category><category>Math</category><category>OrgMode</category><guid>https://jaalonso.github.io/vestigium/posts/2025/07/27-readings_shared_07-26-25/</guid><pubDate>Sun, 27 Jul 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared July 12, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/07/13-readings_shared_07-12-25/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;The readings shared in &lt;a href="https://bsky.app/profile/jalonso.bsky.social"&gt;Bluesky&lt;/a&gt; on 12 July 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.05327v1"&gt;A formalization of divided powers in Lean&lt;/a&gt;. ~ Antoine Chambert-Loir, María Inés de Frutos-Fernández. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol337-fscd2025/LIPIcs.FSCD.2025.25/LIPIcs.FSCD.2025.25.pdf"&gt;Completeness of the decreasing diagrams method for proving confluence of rewriting systems of the least uncountable cardinality&lt;/a&gt;. ~ Ievgen Ivanov. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol337-fscd2025/LIPIcs.FSCD.2025.17/LIPIcs.FSCD.2025.17.pdf"&gt;Mechanized undecidability of higher-order beta-matching&lt;/a&gt;. ~ Andrej Dudenhefner. #ITP #CoqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://link.springer.com/article/10.1007/s00233-025-10548-9"&gt;Marginal subsemigroups and commutators in inverse semigroups&lt;/a&gt;. ~ Gonçalo Araújo, João Araújo, Michael Kinyon #ATP #Prover9 #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.lix.polytechnique.fr/Labo/Dale.Miller/ptlp/ptlp-2025-06-27.pdf"&gt;Proof theory and logic programming: Computation as proof search&lt;/a&gt;. ~ Dale Miller. #Logic #ProofTheory #LogicProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://elibrary.kdpu.edu.ua/bitstream/123456789/12019/1/CTE_838_Semerikov_et_al.pdf"&gt;Teaching logic programming: a review&lt;/a&gt;. ~ Serhiy O. Semerikov et als. #LogicProgramming #Prolog #ASP #CLP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://kondylidou.github.io/assets/pdf/BA-mohamed.pdf"&gt;Categorical semantics in Haskell&lt;/a&gt;. ~ Mohamed Amine Ayari. #Haskell #FunctionalProgramming #CategoryTheory&lt;/li&gt;
&lt;li&gt;&lt;a href="https://hal.science/hal-05148806/document"&gt;Generic second-order matching, higher-order preunification and pattern unification - Implementations in Haskell&lt;/a&gt;. ~ Nikolai Kudasov et als. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.06181v1"&gt;CriticLean: Critic-guided reinforcement learning for mathematical formalization&lt;/a&gt;. ~ Zhongyuan Peng et als. #LLMs #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://andros.dev/blog/ab508c53/por-que-los-usuarios-de-emacs-lo-usan-para-todo/"&gt;¿Por qué los usuarios de Emacs lo usan para todo?&lt;/a&gt; ~ Andros Fenollosa (2023). #Emacs&lt;/li&gt;
&lt;/ul&gt;</description><category>ASP</category><category>ATP</category><category>CategoryTheory</category><category>CLP</category><category>CoqProver</category><category>Emacs</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Logic</category><category>LogicProgramming</category><category>Math</category><category>Prolog</category><category>ProofTheory</category><category>Prover9</category><guid>https://jaalonso.github.io/vestigium/posts/2025/07/13-readings_shared_07-12-25/</guid><pubDate>Sun, 13 Jul 2025 04:00:00 GMT</pubDate></item></channel></rss>