<?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 Reasoning)</title><link>https://jaalonso.github.io/vestigium/</link><description></description><atom:link href="https://jaalonso.github.io/vestigium/tags/reasoning.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;
&lt;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"&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 February 24, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/02/25-readings_shared_02-24-26/</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 February 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.12772v1"&gt;Formalizing Gröbner basis theory in Lean&lt;/a&gt;. ~ Junyu Guo, Hao Shen, Junqi Liu, Lihong Zhi. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.13247v1"&gt;Integral curves and flows on Banach manifolds in Lean&lt;/a&gt;. ~ Weichen Winston Yin, Yury Kudryashov. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.17064v1"&gt;Formalization of two fixed-point algorithms in Hilbert spaces&lt;/a&gt;. ~ Yifan Bai, Yantao Li, Jian Yu, Jingwei Liang. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.18767v1"&gt;Nazrin: Atomic tactics for graph neural networks for theorem proving in Lean 4&lt;/a&gt;. ~ Leni Aniva, Iori Oikawa, David Dill, Clark Barrett. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.19605v1"&gt;Lean formalization of generalization error bound by Rademacher complexity&lt;/a&gt;. ~ Sho Sonoda, Kazumi Kasaura, Yuma Mizuno, Kei Tsukamoto, Naoto Onda. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.18657"&gt;DSLean: A framework for type-correct interoperability between Lean 4 and external DSLs&lt;/a&gt;. ~ Tate Rowney, Riyaz Ahuja, Jeremy Avigad, Sean Welleck. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://link.springer.com/content/pdf/10.1007/s10817-026-09747-y.pdf"&gt;A formal correctness proof of Edmonds’ blossom shrinking algorithm&lt;/a&gt;. ~ Mohammad Abdulaziz, Kurt Mehlhorn. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2102.01167v1"&gt;Verifying the hashgraph consensus algorithm&lt;/a&gt;. ~ Karl Crary. #CoqProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://phart3.github.io/2-groups-preprint.pdf"&gt;Classifying 2-groups in Homotopy Type Theory&lt;/a&gt;. ~ Perry Hart, Owen Milner. #Agda #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.16427"&gt;Formalized run-time analysis of active learning - coalgebraically in Agda&lt;/a&gt;. ~ Thorsten Wißmann. #Agda #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.18844v1"&gt;When Agda met Vampire&lt;/a&gt;. ~ Artjoms Šinkarovs, Michael Rawson. #Agda #ITP #Vampire #ATP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.16809v1"&gt;Haskell meets Evariste&lt;/a&gt;. ~ Paulo R. Pereira, Jose N. Oliveira. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/full/10.1145/3788649"&gt;Math in the age of AI&lt;/a&gt;. ~ Allyn Jackson. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2602.17016v1"&gt;M2F: Automated formalization of mathematical literature at scale&lt;/a&gt;. ~ Zichen Wang et als. #AI4Math #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.arxiv.org/abs/2602.06176"&gt;Large language model reasoning failures&lt;/a&gt;. ~ Peiyang Song, Pengrui Han, Noah Goodman. #LLMs #Reasoning&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI4Math</category><category>ATP</category><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>Reasoning</category><category>Vampire</category><guid>https://jaalonso.github.io/vestigium/posts/2026/02/25-readings_shared_02-24-26/</guid><pubDate>Wed, 25 Feb 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared August 26, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/08/27-readings_shared_08-26-25/</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 August 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2508.15856"&gt;Experimental results for Vampire on the equational theories project&lt;/a&gt;. ~ Mikoláš Janota. #ATP #Vampire&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2508.15878"&gt;Lean meets theoretical computer science: Scalable synthesis of theorem proving challenges in formal-informal pairs&lt;/a&gt;. ~ Terry Jingchen Zhang et als. #ITP #LeanProver #LLMs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2508.10265"&gt;Why cannot large language models ever make true correct reasoning? ~ Jingde Cheng&lt;/a&gt;. #LLMs #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/05/02-matriz_toeplitz/"&gt;#Exercitium: Matrices de Toepliz&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/05/05-maximos_locales/"&gt;#Exercitium: Máximos locales&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/05/06-lista_cuadrada/"&gt;#Exercitium: Lista cuadrada&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>ATP</category><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>Reasoning</category><category>Vampire</category><guid>https://jaalonso.github.io/vestigium/posts/2025/08/27-readings_shared_08-26-25/</guid><pubDate>Wed, 27 Aug 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared August 8, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/08/09-readings_shared_08-08-25/</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 August 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://adam.math.hhu.de"&gt;Discrete mathematics with Lean 4&lt;/a&gt;. ~ Shrey Vivek./#/g/shreyvivek/gamemaker #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/IuX8QMgy4qE"&gt;Gödel's incompleteness theorem&lt;/a&gt;. ~ Thorsten Altenkirch. #ITP #LeanProver #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://cacm.acm.org/news/scrutinizing-llm-reasoning-models/"&gt;Scrutinizing LLM reasoning models (Researchers are seeking to learn the steps behind an LLM's inference process)&lt;/a&gt;. ~ Emma Stamm. #LLMs #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="http://www.toomates.net/biblioteca/Calculo.pdf"&gt;Cálculo infinitesimal&lt;/a&gt;. ~ Gerard Romo Garrido. #eBook #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2017/02"&gt;#Exercitium: Problemas de programación con Haskell (febrero de 2017)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2017/01"&gt;#Exercitium: Problemas de programación con Haskell (enero de 2017)&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Logic</category><category>Math</category><category>Reasoning</category><guid>https://jaalonso.github.io/vestigium/posts/2025/08/09-readings_shared_08-08-25/</guid><pubDate>Sat, 09 Aug 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared July 18, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/07/20-readings_shared_07-19-25/</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 18 July 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://afm.episciences.org/15978/pdf"&gt;Formalization of derived categories in Lean/Mathlib&lt;/a&gt;. ~ Joël Riou. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://era.ed.ac.uk/bitstream/handle/1842/43681/Smola2025.pdf"&gt;A formalised approach to the composition of processes over linear resources&lt;/a&gt;. ~ Filip Smola. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/Incompleteness.html"&gt;Gödel's incompleteness theorems (in Isabelle/HOL)&lt;/a&gt;. ~ Lawrence C. Paulson, with Janis Bailitis. #ITP #IsabelleHOL #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://inria.hal.science/hal-05162302/document"&gt;Robust dynamic embedding for gradual typing&lt;/a&gt;. ~ Koen Jacobs et als. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=snoHekTbpd"&gt;Lean meets theoretical computer science: Scalable synthesis of theorem proving challenges in formal-informal pairs&lt;/a&gt;. ~ Terry Jingchen Zhang et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=pROVJwTb6w"&gt;LeanTree: Accelerating white-box proof search with factorized states in Lean 4&lt;/a&gt;. ~ Matěj Kripner, Michal Sustr, Milan Straka. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=sPdQfGQccH"&gt;Prover Agent: An agent-based framework for formal mathematical proofs&lt;/a&gt;. ~ Kaito Baba et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=OM7ZN0PmSS"&gt;Scaling mathematical reasoning through data, tools, and generative selection&lt;/a&gt;. ~ Ivan Moshkov et als. #LLMs #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=gBsfqLW5IQ"&gt;ProofWala: Multilingual proof data synthesis and theorem-proving&lt;/a&gt;. ~ Amitayush Thakur et als. #ITP #LeanProver #CoqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=pqNFDA2TFm"&gt;CLEVER: A curated benchmark for formally verified code generation&lt;/a&gt;. ~ Amitayush Thakur et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=5SF4fFRw7u"&gt;Lean Finder: Semantic search for Mathlib that understands user intents&lt;/a&gt;. ~ Jialin Lu et als. #ITP #LeanProver #Mathlib&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=rWkGFmnSNl"&gt;VeriBench: End-to-end formal verification benchmark for AI code generation in Lean 4&lt;/a&gt;. ~ Brando Miranda et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=UP96fbOiqb"&gt;The Open Proof Corpus: A large-scale study of LLM-generated mathematical proofs&lt;/a&gt;. ~ Jasper Dekoninck et als. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=3v650rMO5U"&gt;Proof or bluff? Evaluating LLMs on 2025 USA Math Olympiad&lt;/a&gt;. ~ Ivo Petrov et als. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=jcSXt3Qv1I"&gt;RealMath: A continuous benchmark for evaluating language models on research-level mathematics&lt;/a&gt;. ~ Jie Zhang et als. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://people.cs.nott.ac.uk/pszgmh/typer.pdf"&gt;The calculated typer (Functional Pearl)&lt;/a&gt;. ~ Zac Garby, Patrick Bahr, Graham Hutton. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2020/06"&gt;#Exercitium: Problemas de programación con Haskell de junio de 2020&lt;/a&gt;. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/2020/05"&gt;#Exercitium: Problemas de programación con Haskell de mayo de 2020&lt;/a&gt;. #Haskell #FunctionalProgramming #Math&lt;/li&gt;
&lt;/ul&gt;</description><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>Mathlib</category><category>Reasoning</category><category>Rocq</category><guid>https://jaalonso.github.io/vestigium/posts/2025/07/20-readings_shared_07-19-25/</guid><pubDate>Sat, 19 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>Readings shared April 10, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/04/10-readings_shared_04-10-25/</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 10 April 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2504.06239"&gt;Canonical for automated theorem proving in Lean&lt;/a&gt;. ~ Chase Norman, Jeremy Avigad. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.isa-afp.org/entries/GyrovectorSpaces.html"&gt;Formalization of gyrovector spaces as models of hyperbolic geometry and special relativity (in Isabelle/HOL)&lt;/a&gt;. ~ Filip Marić, Jelena Markovic. #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2504.06122"&gt;Leanabell-prover: Posttraining scaling in formal reasoning&lt;/a&gt;. ~ Jingyuan Zhang et als. #LLMs #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. #LLMs #ITP #IsabelleHOL&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/publication/390527852_Reasoning_about_AI's_reasoning"&gt;Reasoning about AI’s reasoning&lt;/a&gt;. ~ Höjer Key. #AI #LLMs #ITP #ATP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://entropicthoughts.com/search-index-150-lines-haskell"&gt;Search index in 150 lines of Haskell&lt;/a&gt;. ~ kqr. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/pdf/10.1145/3716640.3716644"&gt;Distilling PEP 8 for teaching introductory programming&lt;/a&gt;. ~ Diana Kirk, Andrew Luxton-Reilly, Ewan Tempero. #Programming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://funcall.blogspot.com/2025/04/why-i-program-in-lisp.html"&gt;Why I program in Lisp&lt;/a&gt;. ~ Joe Marshall. #CommonLisp #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2410.18921"&gt;From blind solvers to logical thinkers: Benchmarking LLMs' logical integrity on faulty mathematical problems&lt;/a&gt;. ~ A M Muntasir Rahman et als. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/06/02-pimpampum/"&gt;#Exercitium: Pim, Pam, Pum y divisibilidad&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>ATP</category><category>CommonLisp</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>Programming</category><category>Reasoning</category><guid>https://jaalonso.github.io/vestigium/posts/2025/04/10-readings_shared_04-10-25/</guid><pubDate>Thu, 10 Apr 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 21, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/21-readings_shared_03-21-25/</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 21 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.15541v1"&gt;Case study: Verified Vampire proofs in the LambdaPi-calculus modulo&lt;/a&gt;. ~ Anja Petković Komel, Michael Rawson, Martin Suad. #ATP #Vampire #Dedukti&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.tweag.io/blog/2025-03-20-lh-release/"&gt;A hundred pull requests for Liquid Haskell&lt;/a&gt;. ~ Facundo Domínguez. #Liquid #Haskell #FunctionalProgramming #SMT&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.science.org/doi/10.1126/science.adw5211"&gt;Artificial intelligence learns to reason&lt;/a&gt;. ~ Melanie Mitchell. #AI #LLMs #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/05/06-lista_cuadrada/"&gt;#Exercitium: Lista cuadrada&lt;/a&gt;. #Haskell #ProgramaciónFuncional&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2021/05/19-diferencia_de_diferencia_de_conjuntos/"&gt;Demostraciones de "(a ∖ b) ∖ c ⊆ a ∖ (b ∪ c)" con Lean4 y con Isabelle/HOL&lt;/a&gt;. #LeanProver #IsabelleHOL #Math #Calculemus&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/li-08/index.html"&gt;Curso "Lógica informática (2008-09)"&lt;/a&gt;. #Lógica #Matemática #Computación&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/pd-08"&gt;Curso "Programación declarativa (2008-09)"&lt;/a&gt;. #ProgramaciónFuncional #Haskell #ProgramaciónLógica #Prolog&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>ATP</category><category>Dedukti</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>LeanProver</category><category>Liquid</category><category>LLMs</category><category>Logic</category><category>Math</category><category>Prolog</category><category>Reasoning</category><category>SMT</category><category>Vampire</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/21-readings_shared_03-21-25/</guid><pubDate>Fri, 21 Mar 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 7, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/07-readings_shared_03-07-25/</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 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://hal.science/hal-04971933/document"&gt;A formalisation of addition chains&lt;/a&gt;. ~ Laurent Théry. #ITP #Coq #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jwshii.github.io/OOPSLA25.pdf"&gt;QED in context (An observation study of proof assistant users)&lt;/a&gt;. ~ Jessica Shi, Cassia Torczon, Harrison Goldstein, Benjamin C. Pierce, Andrew Head #ITP #LeanProver #Coq #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://florisvandoorn.com/theses/KunhongDu.pdf"&gt;On the formalization of the simplicial model of HoTT&lt;/a&gt;. ~ Kunhong Du. #ITP #Agda #HoTT&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ericschmid-uchicago.github.io/notes/cl_and_tt_v2.pdf"&gt;A gentle introduction to categorical logic and type theory&lt;/a&gt;. ~ Eric Schmid. #Math #CategoryTheory #TypeTheory&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.04291"&gt;MathMistake checker: A comprehensive demonstration for step-by-step math problem mistake finding by prompt-guided LLMs&lt;/a&gt;. ~ Tianyang Zhang et als. #LLMs #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.01245"&gt;A survey on Large Language Models for code generation&lt;/a&gt;. ~ Nam Huynh, Beiyu Lin. #LLMs #Programming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2410.17635"&gt;Markov chain of thought for efficient mathematical reasoning&lt;/a&gt;. ~ Wen Yang, Minpeng Liao, Kai Fan. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2501.13959"&gt;Assisting mathematical formalization with a learning-based premise retriever&lt;/a&gt;. ~ Yicheng Tao et als. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>CategoryTheory</category><category>Coq</category><category>HoTT</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>Programming</category><category>Reasoning</category><category>Rocq</category><category>TypeTheory</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/07-readings_shared_03-07-25/</guid><pubDate>Fri, 07 Mar 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 4, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/04-readings_shared_03-04-25/</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 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.00959"&gt;Formalizing zeta and L-functions in Lean&lt;/a&gt;. ~ David Loeffler, Michael Stoll. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2404.12534"&gt;Lean Copilot: Large language models as copilots for theorem proving in Lean&lt;/a&gt;. ~ Peiyang Song, Kaiyu Yang, Anima Anandkumar. #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.03544"&gt;Gold-medalist performance in solving olympiad geometry with AlphaGeometry2&lt;/a&gt;. ~ Yuri Chervonyi et als. #AI #AlphaGeometry #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2405.02318"&gt;NL2FOL: Translating natural language to first-order logic for logical fallacy detection&lt;/a&gt;. ~ Abhinav Lalwani et als. #LLMs #Logig #SMT&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2410.08899"&gt;Utilizing ChatGPT in a data structures and algorithms course: A teaching assistant's perspective&lt;/a&gt;. ~ Pooriya Jamie, Reyhaneh Hajihashemi, Sharareh Alipour. #LLMs #CompSci&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.15770"&gt;Performance review on LLM for solving Leetcode problems&lt;/a&gt;. ~ Lun Wang et als. #LLMs #Programming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.15823"&gt;InductionBench: LLMs fail in the simplest complexity class&lt;/a&gt;. ~ Wenyue Hua et als. #LLMs #Reasoning&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>AlphaGeometry</category><category>CompSci</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Logig</category><category>Math</category><category>Programming</category><category>Reasoning</category><category>SMT</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/04-readings_shared_03-04-25/</guid><pubDate>Tue, 04 Mar 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared February 26, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/02/26-readings_shared_02-26-25/</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 February 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.17387"&gt;Big-Math: A large-scale, high-quality math dataset for reinforcement learning in language models&lt;/a&gt;. ~ Alon Albalak et als. #LLMs #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2501.13766"&gt;UGMathBench: A diverse and dynamic benchmark for undergraduate-level mathematical reasoning with large language models&lt;/a&gt;. ~ Xin Xu et als. #LLMs #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.15652"&gt;Empowering LLMs with logical reasoning: A comprehensive survey&lt;/a&gt;. ~ Fengxiang Cheng et als. #LLMs #Math #Reasoning&lt;/li&gt;
&lt;/ul&gt;</description><category>LLMs</category><category>Math</category><category>Reasoning</category><guid>https://jaalonso.github.io/vestigium/posts/2025/02/26-readings_shared_02-26-25/</guid><pubDate>Wed, 26 Feb 2025 04:00:00 GMT</pubDate></item></channel></rss>