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<?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 HOL)</title><link>https://jaalonso.github.io/vestigium/</link><description></description><atom:link href="https://jaalonso.github.io/vestigium/tags/hol.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 13:00:02 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>Readings shared April 24, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/04/25-readings_shared_04-24-26/</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 24 April 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.16507v1"&gt;Deep Vision: A formal proof of Wolstenholmes theorem in Lean 4&lt;/a&gt;. ~ Alexandre Linhares. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.15839v1"&gt;Discover and prove: An open-source agentic framework for hard mode automated theorem proving in Lean 4&lt;/a&gt;. ~ Chengwu Liu et als. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://afm.episciences.org/18061"&gt;Formalising the Bruhat–Tits tree&lt;/a&gt;. ~ Judith Ludwig and Christian Merten. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.18882v1"&gt;Formally verified patent analysis via dependent type theory: Machine-checkable certificates from a hybrid AI + Lean 4 pipeline&lt;/a&gt;. ~ George Koomullil. #LeanProver #ITP #AI4Math&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. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://alexkontorovich.wordpress.com/2026/04/05/lecture-interactions-of-ai-with-research-math-and-formalization-at-newton-insitute-cambridge/"&gt;Lecture «Interactions of AI with research math and formalization» at Newton Insitute (Cambridge)&lt;/a&gt;. ~ Alex Kontorovich. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.irif.fr/~lahaye/logique_propositionnelle/"&gt;Logique propositionnelle (dans Lean)&lt;/a&gt;. ~ Sebastien Lahaye. #LeanProver #ITP #Logic&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.16538v1"&gt;Understanding tool-augmented agents for Lean formalization: A factorial analysis&lt;/a&gt;. ~ Ke Zhang, Patricio Gallardo, Maziar Raissi, Sudhir Murthy. #LeanProver #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/chenson2018/leanprover-community.github.io/blob/grind-style/templates/contribute/grind.md"&gt;grind best practices&lt;/a&gt;. ~ Chris Henson. #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.20807v1"&gt;Formal primal-dual algorithm analysis&lt;/a&gt;. ~ Mohammad Abdulaziz, Thomas Ammer. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.15713v1"&gt;Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints&lt;/a&gt;. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #IsabelleHOL #ITP #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.20345v1"&gt;A Rocq formalization of simplicial Lagrange finite elements&lt;/a&gt;. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero, Houda Mouhcine. #RocqProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.16477v1"&gt;A constructive proof of Rice's theorem and the halting problem via Hilbert's tenth problem&lt;/a&gt;. ~ Jonathan Brossard. #RocqProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.21376"&gt;A formal proof of the Sands-Sauer-Woodrow theorem using the Rocq prover and mathcomp/ssreflect&lt;/a&gt;. ~ Jean-Philippe Chancelier. #RocqProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.19558v1"&gt;On reasoning-centric LLM-based automated theorem proving&lt;/a&gt;. ~ Yican Sun, Chengwei Shi, Hangzhou Lyu, Yingfei Xiong. #RocqProver #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2604.19459v1"&gt;Do LLMs game formalization? Evaluating faithfulness in logical reasoning&lt;/a&gt;. ~ Kyuhee Kim, Auguste Poiroux, Antoine Bosselut. #AI4Math #LeanProver #ITP #Autoformalization&lt;/li&gt;
&lt;li&gt;&lt;a href="https://davidbessis.substack.com/p/the-fall-of-the-theorem-economy"&gt;The fall of the theorem economy (How AI could destroy mathematics and barely touch it)&lt;/a&gt;. ~ David Bessis. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://lawrencecpaulson.github.io//2026/04/23/Why_not_Lean.html"&gt;Why not just use Lean?&lt;/a&gt;. ~ Lawrence Paulson. #ITP #Nqthm #HOL #CoqProver #IsabelleHOL #LeanProver #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.youtube.com/live/Yt2E1vrgP_E%20~%20Edsko%20de%20Vries,%20Andres%20L%C3%B6h."&gt;The Haskell  Unfolder Episode 54: Not quite monads&lt;/a&gt;. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://inf9340.pages.info.uqam.ca/notes/notes.pdf"&gt;Introduction to computational logic&lt;/a&gt;. ~ Ryan Kavanagh. #Logic #Math #CompSci&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2603.21852"&gt;All elementary functions from a single binary operator&lt;/a&gt;. ~ Andrzej Odrzywołek. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.gaussianos.com/eml-una-funcion-para-generarlas-a-todas/"&gt;EML: una función para generarlas a todas&lt;/a&gt;. ~ Miguel Ángel Morales. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2026/04/23-matematicas-en-la-era-de-la-ia-demostraciones-rapidas-comprension-lenta/"&gt;Matemáticas en la era de la IA: demostraciones rápidas, comprensión lenta&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2026/04/22-the-fall-of-the-theorem-economy-how-ai-could-destroy-mathematics-and-barely-touch-it/"&gt;Reseña de «The fall of the theorem economy (How AI could destroy mathematics and barely touch it)»&lt;/a&gt;. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;/ul&gt;</description><category>AI4Math</category><category>Autoformalization</category><category>CompSci</category><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>HOL</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Logic</category><category>Math</category><category>Nqthm</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/04/25-readings_shared_04-24-26/</guid><pubDate>Sat, 25 Apr 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared December 7, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/12/08-readings_shared_12-07-25/</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 7 December 2025 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://lawrencecpaulson.github.io//2025/12/05/History_of_Proof_Assistants.html"&gt;50 years of proof assistants&lt;/a&gt;. ~ Lawrence Paulson. #ITP #IsabelleHOL #CoqProver #HOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://deepwiki.com/leanprover-community/mathlib4"&gt;DeepWiki leanprover-community/mathlib4: A comprehensive database of formalized theorems in Lean 4&lt;/a&gt;. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2512.03175v1"&gt;The Seifert-van Kampen theorem via computational paths: A formalized approach to computing fundamental groups&lt;/a&gt;. ~ Arthur F. Ramos, Tiago M. L. de Veras, Ruy J. G. B. de Queiroz, Anjolina G. de Oliveira. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ceur-ws.org/Vol-4117/PEG-Short-1.pdf"&gt;Teaching Prolog and logic programming with Jupyter Notebooks&lt;/a&gt;. ~ Galileo Sartor, Adam Wyner. #Prolog #LogicPO&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2512.03492v1"&gt;Functional Python programming in introductory computer science courses&lt;/a&gt;. ~ Rajshekhar Sunderraman. #Python #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/12/11-numeros_que_sumados_a_su_siguiente_primo_dan_primos/"&gt;#Exercitium: Números que sumados a su siguiente primo dan primos&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>HOL</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LogicProgramming</category><category>Math</category><category>Prolog</category><category>Python</category><guid>https://jaalonso.github.io/vestigium/posts/2025/12/08-readings_shared_12-07-25/</guid><pubDate>Mon, 08 Dec 2025 04:00:00 GMT</pubDate></item><item><title>Lecturas compartidas el 25 de junio de 2024</title><link>https://jaalonso.github.io/vestigium/posts/2024/06/26-lecturas_compartidas_el_25-jun-24/</link><dc:creator>José A. Alonso</dc:creator><description>&lt;p&gt;Las lecturas compartidas en &lt;a href="https://mathstodon.xyz/@Jose_A_Alonso"&gt;Mastodon&lt;/a&gt; el 25 de junio de 2024 son&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2024/06/25-lecturas_compartidas_el_24-jun-24"&gt;Lecturas compartidas el 24 de junio de 2024&lt;/a&gt;. #ITP #Lean4 #IsabelleHOL #Math #Haskell #Python&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2024/06/25-la_equipotencia_es_una_relacion_de_equivalencia/"&gt;#Calculemus: Demostraciones con Lean4 e Isabelle/HOL de "La equipotencia es una relación de equivalencia"&lt;/a&gt;. #ITP #Lean4 #IsabelleHOL #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2024/06/14-minimo_producto_escalar/"&gt;#Exercitium: Mínimo producto escalar&lt;/a&gt;. #Haskell #Python #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/IroFHvdAsJg"&gt;Teaching mathematics to computers&lt;/a&gt;. ~ Kevin Buzzard. #ITP #Lean4 #Math #AI #MachineLearning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/PNaOSAPtvv0"&gt;Towards a formalized proof of Carleson's theorem&lt;/a&gt;. ~ Floris van Doorn. #ITP #Lean4 #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/f8LuzA7k4K4"&gt;Linear algebra game in Lean&lt;/a&gt;. ~ Sina Hazratpour. #ITP #Lean4 #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/NJetR3C6uH8"&gt;Building measure theory using hierarchy builder&lt;/a&gt;. ~ Cyril Cohen. #ITP #Coq #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2404.12048"&gt;Symbolic computation for all the fun&lt;/a&gt;. ~ Chad E. Brown, Mikoláš Janota, Mirek Olšák. #Math #ATP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/IaC35SHBitE"&gt;System introductions I: HOL (1)&lt;/a&gt;. ~ Freek Wiedijk. #ITP #HOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/ux96swHX-6s"&gt;More on HOL Light (2)&lt;/a&gt;. ~ Freek Wiedijk. #ITP #HOL_Light&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/R-3kPIHB2RA"&gt;Even more on HOL Light (3)&lt;/a&gt;. ~ Freek Wiedijk. #ITP #HOL_Light&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/FNmB1CRaC7U"&gt;Modularity in PVS&lt;/a&gt;. ~ Sam Owre. #ITP #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/aEYhBl-S2EE"&gt;Lessons from Metamath&lt;/a&gt;. ~ Mario Carneiro. #ITP #Metamath&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/YQ6YAKIa42Q"&gt;A quick tour of Agda&lt;/a&gt;. ~ Guillaume Allais. #ITP #Agda&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/M0fVmNZBIrg"&gt;Theorem proving and AI&lt;/a&gt;. ~ Josef Urban. #ATP #ITP #AI #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/HKAMz1oyYWU"&gt;System introductions I: Lean&lt;/a&gt;. ~ Mario Carneiro. #ITP #Lean4&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/Oh1rDkWYrNI"&gt;System introductions II: Isabelle&lt;/a&gt;. ~ Manuel Eberl. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/EeC6YAFiWDQ"&gt;System introductions: PVS&lt;/a&gt;. ~ Sam Owre. #ITP #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/hOnUyx6LtNc"&gt;Reconciling type theory with the use of a single type of numbers for mathematical education at introductory levels&lt;/a&gt;. ~ Yves Bertot. #ITP #Coq #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/fc5crdT3u_U"&gt;Programming mathematics: Tools and challenges&lt;/a&gt;. ~ Georges Gonthier. #ITP #Coq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/dmR_D7SRdck"&gt;From informal to formal and back&lt;/a&gt;. ~ Patrick Massot. #ITP #Lean4 #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/8I-v3y1MGfM"&gt;Beautiful formalizations and proofs&lt;/a&gt;. ~ Natarajan Shankar. #ITP #PVS #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtube.com/playlist?list=PLul8LCT3AJqSxDjduIXoMnfaQSsExWLTC&amp;amp;si=D2bye9lEUfQrqJ1U"&gt;Workshop: Formalization of Mathematics (June 2024)&lt;/a&gt;. Hausdorff Center for Mathematics. #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/C7NBGlJb2DQ"&gt;AI tools for Better Math&lt;/a&gt;. ~ Valeria de Paiva. #Math #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://interstices.info/la-grande-epopee-des-algorithmes/"&gt;La grande épopée des algorithmes&lt;/a&gt;. ~ Claire Mathieu. #Algorithms&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI</category><category>Algorithms</category><category>Coq</category><category>Haskell</category><category>HOL</category><category>HOL&lt;sub&gt;Light&lt;/sub&gt;</category><category>IsabelleHOL</category><category>ITP</category><category>Lean4</category><category>MachineLearning</category><category>Math</category><category>Metamath</category><category>Python</category><guid>https://jaalonso.github.io/vestigium/posts/2024/06/26-lecturas_compartidas_el_25-jun-24/</guid><pubDate>Wed, 26 Jun 2024 04:00:00 GMT</pubDate></item></channel></rss>