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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 CAS)</title><link>https://jaalonso.github.io/vestigium/</link><description></description><atom:link href="https://jaalonso.github.io/vestigium/tags/cas.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 13:00:04 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>Readings shared September 17, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/09/18-readings_shared_09-17-25/</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 17 September 2025 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2509.13142"&gt;Formalizing dimensional analysis using the Lean theorem prover&lt;/a&gt;. ~ Maxwell P. Bobbin, Colin Jones, John Velkey, Tyler R. Josephson. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.galois.com/articles/claude-can-sometimes-prove-it"&gt;Claude can (sometimes) prove it&lt;/a&gt;. ~ Mike Dodds. #ITP #LeanProver #Math #AI #LLMs #Claude&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2509.10828"&gt;Structuring definitions in mathematical libraries&lt;/a&gt;. ~ Alena Gusakov, Peter Nelson, Stephen Watt. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://florisvandoorn.com/carleson/blueprint/"&gt;A blueprint for the formalization of Carleson’s theorem on convergence of Fourier series&lt;/a&gt;. ~ Lars Becker et als. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://florisvandoorn.com/theses/JohannesFolttmann.pdf"&gt;Formalization of the internal language of a topos&lt;/a&gt;. ~ Johannes Folttmann. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://recognitionphysics.org/meta-principle.html"&gt;The meta-principle: A tautological foundation for physics&lt;/a&gt;. ~ Jonathan Washburn. #ITP #LeanProver #Physics&lt;/li&gt;
&lt;li&gt;&lt;a href="https://cgi.cse.unsw.edu.au/~eptcs/paper.cgi?FROM2025.4.pdf"&gt;Łukasiewicz logic with actions for neural networks training&lt;/a&gt;. ~ Ioana Leuştean, Bogdan Macovei. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/towards-automated-mathematical-discovery"&gt;Towards automated mathematical discovery&lt;/a&gt;. ~ Aaron Courville, Navin Goyal. #AI #Math #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/sketchpad-a-high-precision-and-easy-to-use-system-for-automatic-formal-sketch-generation"&gt;Sketchpad: A high-precision and easy-to-use system for automatic formal sketch generation&lt;/a&gt;. ~ Wenda Li, Luo Mai, Larry Paulson, Huajian Xin. #AI #Math #ITP #IsabelleHOL #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/scalable-theorem-proving"&gt;Scalable theorem proving via mathematical databases&lt;/a&gt;. ~ Christopher Birkbeck, David Roe, Andrew Sutherland. #AI #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/learning-to-do-math-with-vampires-and-spiders"&gt;Learning to do math with vampires and spiders&lt;/a&gt;. ~ Andrei Voronkov, Michael Rawson. #ITP #LeanProver #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/gnn-smt-consortium-based-proof-automation-for-lean-4"&gt;GNN-SMT: A consortium based proof automation for Lean 4&lt;/a&gt;. ~ Clark Barrett, Leni Aniva, Abdalrhman Mohamed, Harun Khan. #ITP #LeanProver #SMT&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/game-over-or-qed"&gt;Game over or QED? (For taking the Lean Game Server to the next level)&lt;/a&gt;. ~ Marcus Zibrowius. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/domain-specific-documentation-for-mathlib-1"&gt;Domain specific (Documentation for Mathlib)&lt;/a&gt;. ~ John Talbot, Richard M. Hill. #ITP #LeanProver #Mathlib&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/document-level-autoformalization"&gt;Document-level autoformalization&lt;/a&gt;. ~ Antoine Bosselut, Viktor Kunčak, Maryna Viazovska. #AI #Math #ITP #LeanProver #Autoformalization&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/databases-of-structured-motivated-proofs"&gt;Databases of structured motivated proofs&lt;/a&gt;. ~ Timothy Gowers, Anand Rao, Anshula Gandhi, Jacob Loader, Jovan Gerbscheid, Jonas Bayer. #AI #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/constraining-llms-for-theorem-proving-a-neurosymbolic-approach-to-guaranteed-autoformalization"&gt;Constraining LLMs for theorem proving (A neurosymbolic approach to guaranteed autoformalization)&lt;/a&gt;. ~ Eleonora Giunchiglia, Sam Adam-Day, Joshua Ong, Mihaela Cătălina Stoian, Luca Andolfi. #AI #Math #LLMs #ITP #LeanProver #Autoformalization&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/bridging-proof-and-computation-a-verified-leanmacaulay2-interface"&gt;Bridging proof and computation (For a verified Lean–Macaulay2 interface)&lt;/a&gt;. ~ Matthew Ballard, Anton Leykin, Damiano Testa, Michael Stillman. #AI #Math #ITP #LeanProver #CAS #Macaulay2&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/a-structured-representation-of-tactics-for-machine-assisted-theorem-proving"&gt;A structured representation of tactics for machine-assisted theorem proving&lt;/a&gt;. ~ Jade Master, Vincent Wang-Maścianica, Zanzi Mihejevs, Bruno Gavranović, Andre Videla, Dylan Braithwaite. #AI #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/a-dataset-of-modern-formalized-theorem-statements"&gt;A dataset of modern formalized theorem statements&lt;/a&gt;. ~ Kevin Buzzard. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.renaissancephilanthropy.org/an-ai-focused-tractic-for-languag-learning-1"&gt;An AI-focused tactic for language learning&lt;/a&gt;. ~ Robert Y. Lewis. #AI #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://karczmarczuk.users.greyc.fr/TEACH/Semin/quastru.pdf"&gt;Quantum structures and functional programming&lt;/a&gt;. ~ Jerzy Karczmarczuk. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://homepages.inf.ed.ac.uk/wadler/papers/plinth/plinth.pdf"&gt;Plinth: A plugin-powered language built on Haskell (Experience report)&lt;/a&gt;. ~ Ziyang Liu, Kenneth MacKenzie, Roman Kireev, Michael Peyton Jones, Philip Wadler, Manuel Chakravarty. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>Autoformalization</category><category>CAS</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Macaulay2</category><category>Math</category><category>Mathlib</category><category>Physics</category><category>Rocq</category><category>SMT</category><guid>https://jaalonso.github.io/vestigium/posts/2025/09/18-readings_shared_09-17-25/</guid><pubDate>Thu, 18 Sep 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared July 9, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/07/10-readings_shared_07-09-25/</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 9 July 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2405.19270"&gt;Formalising the local compactness of the adele ring&lt;/a&gt;. ~ Salvatore Mercuri. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.philipzucker.com/dirty_lean/"&gt;Doing Lean dirty: Lean as a Jupyter notebook replacement&lt;/a&gt;. ~ Philip Zucker. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.arith2025.org/proceedings/215900a149.pdf"&gt;Robust, end-to-end correctness proofs of industrial divide and square root RTL designs&lt;/a&gt;. ~ Sol Swords, Cuong Chau. #ITP #ACL2&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/publication/393400892_The_ph-Weighted_Recognition_Hamiltonian_A_Self-Adjoint_Operator_Unifying_Automorphic_L-Functions_E_8_Symmetry_and_Cosmic_Dynamics"&gt;The φ-weighted recognition hamiltonian: A self-adjoint operator unifying automorphic L-functions, E 8 symmetry, and cosmic dynamics&lt;/a&gt;. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Computational_pAdics.html"&gt;Computational p-adics (in Isabelle/HOL)&lt;/a&gt;. ~ Jeremy Sylvestre. #ITP #IsabelleHOL #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Oneway2Hiding.html"&gt;The oneway to hiding theorem (in Isabelle/HOL)&lt;/a&gt;. ~ Katharina Kreuzer, Dominique Unruh. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Kraus_Maps.html"&gt;Kraus maps (in Isabelle/HOL)&lt;/a&gt;. ~ Dominique Unruh. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Parikh.html"&gt;Parikh's theorem (in Isabelle/HOL)&lt;/a&gt;. ~ Fabian Lehr. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://hal.science/tel-05142432/document"&gt;Computer-assisted proofs for differential equations and dynamical systems&lt;/a&gt;. ~ Maxime Breden. #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://mmhaskell.com/blog/2025/7/7/binary-search-in-haskell-and-rust"&gt;Comparing codes: Binary search in Haskell and Rust&lt;/a&gt;. ~ James Bowen. #Haskell #FunctionalProgramming #Rust&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.06055"&gt;Verified certificates via SAT and computer algebra systems for the Ramsey R(3,8) and R(3,9) problems&lt;/a&gt;. ~ Zhengyu Li et als. #SAT #CAS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.02726v1"&gt;Bourbaki: Self-generated and goal-conditioned MDPs for theorem proving&lt;/a&gt;. ~ Matthieu Zimmer et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.02541v1"&gt;Clarifying before reasoning: A Coq prover with structural context&lt;/a&gt;. ~ Yanzhen Lu et als. #LLMs #ITP #CoqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/lmf-19"&gt;Curso "Lógica matemática y fundamentos (2019-20)"&lt;/a&gt;. #Lógica #ProgramaciónFuncional #IsabelleHOL&lt;/li&gt;
&lt;/ul&gt;</description><category>ACL2</category><category>CAS</category><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Logic</category><category>Math</category><category>Rust</category><category>SAT</category><guid>https://jaalonso.github.io/vestigium/posts/2025/07/10-readings_shared_07-09-25/</guid><pubDate>Thu, 10 Jul 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared June 8, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/06/08-readings_shared_06-08-25/</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 8 June 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://ml-site.cdn-apple.com/papers/the-illusion-of-thinking.pdf"&gt;The illusion of thinking: Understanding the strengths and limitations of reasoning models via the lens of problem complexity&lt;/a&gt;. ~ Parshin Shojaee et als. #LLMs #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2025/06/07-mas-alla-de-la-ilusion-de-pensar/"&gt;Más allá de la "ilusión de pensar"&lt;/a&gt;. #LLMs #Reasoning #Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2025/06/08-autogps-un_sistema_neuro-simbolico-para-geometria/"&gt;AutoGPS: Un sistema neuro-simbólico para la geometría&lt;/a&gt;. #AI #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/i1m-12"&gt;Curso "Informática (2012-13)"&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Algorítmica #CálculoSimbólico #Maxima&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>Algorithms</category><category>CAS</category><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>Maxima</category><category>Reasoning</category><guid>https://jaalonso.github.io/vestigium/posts/2025/06/08-readings_shared_06-08-25/</guid><pubDate>Sun, 08 Jun 2025 04:00:00 GMT</pubDate></item><item><title>Lecturas compartidas el 29 de julio de 2024</title><link>https://jaalonso.github.io/vestigium/posts/2024/07/30-lecturas_compartidas_el_29-jul-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 29 de julio de 2024 son&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/vestigium/posts/2024/07/29-lecturas_compartidas_el_28-jul-24"&gt;Lecturas compartidas el 28 de julio de 2024&lt;/a&gt;. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2024/07/29-pruebas_de_length_repeat_x_n_ig_n/"&gt;#Calculemus: Demostraciones con Lean4 e Isabelle/HOL de "length (replicate n x) = n"&lt;/a&gt;. #ITP #Lean4 #IsabelleHOL #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/profile/Douglas-Youvan/publication/382360478_Advancing_Mathematics_through_Computers_and_AI_Automation_Discovery_and_Collaboration/links/669978194a172d2988ad3496/Advancing-Mathematics-through-Computers-and-AI-Automation-Discovery-and-Collaboration.pdf"&gt;Advancing mathematics through computers and AI: Automation, discovery, and collaboration&lt;/a&gt;. ~Douglas C. Youvan. #AI #ITP #CAS #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>CAS</category><category>IsabelleHOL</category><category>ITP</category><category>Lean4</category><category>Math</category><guid>https://jaalonso.github.io/vestigium/posts/2024/07/30-lecturas_compartidas_el_29-jul-24/</guid><pubDate>Tue, 30 Jul 2024 04:00:00 GMT</pubDate></item></channel></rss>