<?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 PVS)</title><link>https://jaalonso.github.io/vestigium/</link><description></description><atom:link href="https://jaalonso.github.io/vestigium/tags/pvs.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 13:00:01 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>Readings shared August 3, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/</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 3 August 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://github.com/PierreSenellart/descriptive-complexity"&gt;A Lean 4 library for descriptive complexity&lt;/a&gt;. ~ Pierre Senellart. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://github.com/mbrcic/ai-safety-formalization-atlas"&gt;AI safety formalization Atlas&lt;/a&gt;. ~ Mario Brčić et als. #LeanProver #ITP #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.23500v1"&gt;Formalizing flag algebras in Lean&lt;/a&gt;. ~ Gyeongwon Jeong, Seonghun Park, Jihoon Hyun, Sang-il Oum, Hongseok Yang. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.26230v1"&gt;Formally certifying number field invariants&lt;/a&gt;. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.22972v1"&gt;Learned interventions in Lean 4 grind&lt;/a&gt;. ~ Evan Wang, Simon Chess, Sophie Szeto, Theodore Meek. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://leanprover-community.github.io/lean4-metaprogramming-book/"&gt;Metaprogramming in Lean 4&lt;/a&gt;. ~ Asei Inoue et als. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ml4sp.github.io/papers/2026/paper7.pdf"&gt;An LLM-based recommendation system for PVS&lt;/a&gt;. ~ Nikson Bernardes Fernandes Ferreira, Mariano M. Moscato, Mauricio Ayala-Rincón. #PVS #ITP #LLMs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/publication/410760112_Show_Me_The_Money_An_Exercise_in_Proof-Driven_Software_Understanding"&gt;Show me the money: an exercise in proof-driven software understanding&lt;/a&gt;. ~ Joseph Tafese, Karthik Nukala, Hassen Saïdi, Natarajan Shankar, Arie Gurfinkel, Giuliano Losa. #PVS #ITP #Autoformalization&lt;/li&gt;
&lt;li&gt;&lt;a href="https://link.springer.com/chapter/10.1007/978-3-032-32589-1_25"&gt;Growing HOLMS: A verified automated prover for Grzegorczyk logic in HOL Light&lt;/a&gt;. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi. #HOL_Light #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://lawrencecpaulson.github.io/2026/07/30/Collatz.html"&gt;Why is it all in the kernel?&lt;/a&gt; ~ Lawrence Paulson. #ITP #LeanProver #IsabelleHOL #RocqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2508.11136v1"&gt;Automating the derivation of unification algorithms (A case study in deductive program synthesis)&lt;/a&gt;. ~ Richard Waldinger. #DeductiveProgramSynthesis&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/publication/410760278_Pgeon_Generating_Tableau-Based_Provers_from_Declarative_Specifications_of_Logical_Calculi"&gt;Pgeon: Generating tableau-based provers from declarative specifications of logical calculi&lt;/a&gt;. ~ Romain Sidhoum, Simon Robillard, David Delahaye. #ATP #Logic #Ocaml&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.27298v1"&gt;From lecture notes to Lean: Formalizing a textbook on probability theory&lt;/a&gt;. ~ Shuo Deng, Kenneth W. Shum. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.22524v1"&gt;Machine-checked arithmetic bit complexity of the Kannan-Bachem Smith normal form in Lean 4&lt;/a&gt;. ~ Junye Ji. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://borretti.me/article/mathematics-without-mathematicians"&gt;Mathematics without mathematicians&lt;/a&gt;. ~ Fernando Borretti. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://aimath.robertj1.com/"&gt;Open math problems claimed to be solved with AI&lt;/a&gt;. ~ Robert Joseph. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://pramaanalabs.ai/blog/pramaana-solves-imo-2026-in-lean-4-in-under-7-hours"&gt;Pramaana solves IMO 2026 in Lean 4 in under 7 hours (Pramaana’s Panini and Hardy systems formalized and proved all six IMO 2026 problems in Lean 4 in under seven hours and for less than $150)&lt;/a&gt;. ~ Arnav Mehta. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://cdn.openai.com/pdf/ten-proofs-oai.pdf"&gt;Ten advances in mathematics and theoretical computer science&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.27197"&gt;The Maxwell conjecture is false&lt;/a&gt;. ~ Philip Arathoon, Gavin Ball, Matthew D. Kvalheim. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://vibemathed.com/"&gt;VibeMathed: A website tracking mathematical problems solved by AI models - proved or disproved with a model in the loop&lt;/a&gt;. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ubunlog.com/el-correcto-uso-de-los-parametros-en-un-modelo-de-inteligencia-artificial/"&gt;El correcto uso de los parámetros en un modelo de Inteligencia Artificial&lt;/a&gt;. ~ Diego Germán González. #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://haskell.foundation/news/2026-07-18/hiw-hew-2026-videos.html"&gt;2026 Haskell workshop videos now online&lt;/a&gt;. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://cdfa.github.io/existentials-on-a-leash/"&gt;Existentials on a leash&lt;/a&gt;. ~ Colin de Roos. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.well-typed.com/blog/2026/07/falsify-4/"&gt;New falsify release&lt;/a&gt;. ~ Edsko de Vries. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://blog.haskell.org/quick-tips-for-fast-iteration-in-haskell/"&gt;Quick tips for fast iteration in Haskell&lt;/a&gt;. ~ Tom Ellis, Laurent P. René de Cotret. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://codeberg.org/jaror/real-world-haskell"&gt;Real World Haskell Revived&lt;/a&gt;. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://funcall.blogspot.com/2026/07/vibe-coding-reconsidered.html"&gt;Vibe coding reconsidered&lt;/a&gt;. ~ Joe Marshall. #CommonLisp #VibeCoding #AI4Coding&lt;/li&gt;
&lt;li&gt;&lt;a href="https://t.me/Retos_Matematicos/109557/142082"&gt;#RetoLean4: Enunciado 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://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_11.lean"&gt;#RetoLean4: Soluciones del reto 11 (Si la sucesión 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://youtu.be/bktHsoZDWAQ"&gt;#Retolean4: Vídeo tutorial sobre cómo resolver el reto 11&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>AI4Math</category><category>ATP</category><category>Autoformalization</category><category>CommonLisp</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>OCaml</category><category>PVS</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/</guid><pubDate>Mon, 03 Aug 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared July 19, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/</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 19 July 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.14082v1"&gt;Building Shor's algorithm in Lean: An agentic formalization of quantum attacks on RSA-2048 and P-256&lt;/a&gt;. ~ Lei Zhang, Yusheng Zhao, Hongshun Yao, Xin Wang. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.08656v1"&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/2607.10216"&gt;Formalizing abstract simplicial complexes &amp;amp; stellar subdivisions in Lean&lt;/a&gt;. ~ Garett Cunningham, Daniel Zach, Stefan Friedl. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.13165v1"&gt;Interchange graphs of (0,1)-matrices are maximally Hamiltonian&lt;/a&gt;. ~ Jeffrey S. Baggett, Huiya Yan. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://archive.is/qJLGP#selection-663.0-667.0"&gt;Mathematicians put AI to work on Fermat's last theorem&lt;/a&gt;. ~ Matthew Sparkes. #LeanProver #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.08366v1"&gt;Minimum modulus for the unique multiset-sum problem&lt;/a&gt;. ~ José A. R. Fonollosa. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://digitalcommons.dartmouth.edu/cgi/viewcontent.cgi?article=1080&amp;amp;context=cs_senior_theses"&gt;Representing Lean proofs: Tactics, trajectories, search&lt;/a&gt;. ~ Elisaveta Samoylov. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.12655"&gt;Anti-unification completeness analysis in PVS&lt;/a&gt;. ~ Mauricio Ayala-Rincón, Thaynara Arielly de Lima, Maria Júlia Dias Lima, Temur Kutsia, Marcos Mercandeli-Rodrigues. #PVS #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2410.13508v1"&gt;Formalizing hyperspaces and operations on subsets of polish spaces over abstract exact real numbers&lt;/a&gt;. ~ Michal Konečný, Sewon Park, Holger Thies. #CoqProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.14999v1"&gt;Verification of a DPLL transition system in Rocq&lt;/a&gt;. ~ Julia Dijkstra, Benedikt Ahrens. #RocqProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Conway_Circle.html"&gt;Conway's circle 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://arxiv.org/abs/2607.10880"&gt;First-order modal logic in HOL: Deep and shallow embeddings with automated faithfulness&lt;/a&gt;. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic&lt;/li&gt;
&lt;li&gt;&lt;a href="https://bford.info/pub/lang/paradox/paradox.pdf"&gt;Formalizing paradoxes in grounded arithmetic using Isabelle/HOL&lt;/a&gt;. ~ Ananthajit Srikanth, Bryan Ford. #IsabelleHOL #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/MSOinHOL.html"&gt;Monadic second-order logic in HOL: Deep and shallow embeddings with automated faithfulness (Isabelle/HOL dataset)&lt;/a&gt;. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic&lt;/li&gt;
&lt;li&gt;&lt;a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.32"&gt;New and formalized proofs for right-forward closures and core matrix interpretations&lt;/a&gt;. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Polynomial_Commitment_Schemes.html"&gt;Polynomial commitment schemes (in Isabelle/HOL)&lt;/a&gt;. ~ Tobias Rothmann. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Right_Forward_Closures.html"&gt;Termination restricted to right-forward closures (in Isabelle/HOL)&lt;/a&gt;. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Chevalley_Warning.html"&gt;The Chevalley-Warning 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://arxiv.org/abs/2607.08986v1"&gt;A formalization of the mean-field derivation of the Vlasov equation: AI-assisted Lean formalization as a strategy game&lt;/a&gt;. ~ Joseph K. Miller. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.13899v1"&gt;AIMO interpretability challenge&lt;/a&gt;. ~ Michal Štefánik et als. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.07779v1"&gt;From solvers to research: Large language model-driven formal mathematics at the research frontier&lt;/a&gt;. ~ Eric Jiang, Xiao Liang, Yikai Zhang, Yingjia Wan, Mengting Li, Haikang Deng, Alexander K. Taylor, Justin Baker, Rushil Raghavan, Junyi Zhang, Ying Nian Wu, Andrea L. Bertozzi, Kai-Wei Chang, Raghu Meka, Matthew Sottile, Nanyun Peng, Amit Sahai, Terence Tao, Wei Wang. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.09217v1"&gt;OpenProver: Agentic and interactive theorem proving with Lean 4&lt;/a&gt;. ~ Matěj Kripner, Milan Straka. #AI4Math #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.09721v1"&gt;The Ramanujan challenge for AI&lt;/a&gt;. ~ Michael Shalyt, Rotem Kalisch, Carsten Schneider, Hila Barkan, Elyasheev Leibtag, John Campbell, Shachar Weinbaum, Tali Monderer, Ashvni Narayanan, Ido Kaminer. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://blog.haskell.org/enterprise-haskell-at-h-e-b/"&gt;Enterprise Haskell at H-E-B&lt;/a&gt;. ~ Joshua Miller. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/o3Q4RnP2u1I"&gt;GHC String interpolation&lt;/a&gt;. ~ Brandon Chinn. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/qk_P8piUclI"&gt;Is there a future for a formally specified Haskell report?&lt;/a&gt;. ~ David Binder. #Haskell #FunctionalProgramming #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/BtTaT90OvPE"&gt;Stable Haskell&lt;/a&gt;. ~ Julian Ospald. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://1pt.co/Lean4Reto10Enunciado"&gt;#RetoLean4: Enunciado del reto 10 (Si una sucesión converge a un límite no nulo, entonces sus términos están eventualmente acotados inferiormente por la mitad del valor absoluto del límite)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://1pt.co/Lean4Reto9"&gt;#RetoLean4: Soluciones del reto 9 (Unicidad del límite)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/Swy_AW1aSMY"&gt;#Retolean4: Vídeo tutorial sobre cómo resolver el reto 9&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>AI4Math</category><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Logic</category><category>Math</category><category>PVS</category><category>RocqProver</category><guid>https://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/</guid><pubDate>Mon, 20 Jul 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared July 5, 2026</title><link>https://jaalonso.github.io/vestigium/posts/2026/07/06-readings_shared_07-06-26/</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 5 July 2026 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://www.preprints.org/manuscript/202607.0075"&gt;An explicit eventual p⁴-divisibility theorem for an Apery-type numerator family&lt;/a&gt;. ~ Zhipeng Chen, Qisheng Wang, Yan Feng. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=adCv2IV5V3"&gt;Axiom-audited trustworthy formalization of game-theoretic commitment in Lean&lt;/a&gt;. ~ Jan Ondras. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2606.26141v1"&gt;Classifying the groups of order p³ in Lean&lt;/a&gt;. ~ Li Xiang. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://florisvandoorn.com/theses/WenrongZou.pdf"&gt;Formalization of formal group laws&lt;/a&gt;. ~ Wenrong Zou. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2607.01544v1"&gt;Formalized q-series: The Rogers-Ramanujan identities and beyond&lt;/a&gt;. ~ Kenny Lau, Seewoo Lee, Ken Ono. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=I8t5C1vYMR"&gt;Formalizing Scarf, Brouwer, and Nash in Lean&lt;/a&gt;. ~ Yuwei Lyu, Kai Li. #LeanProver #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=EsEqPLc0ef"&gt;From agents to axioms: Verifier-gated Lean formalization for statistical learning theory&lt;/a&gt;. ~ Robert Sneiderman. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.diva-portal.org/smash/get/diva2:2080968/FULLTEXT01.pdf"&gt;Mechanizing proofs from a course on programming language semantics in Lean&lt;/a&gt;. ~ Hampus Toft. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=jhbkIZOn5a"&gt;Reformalization of the Jordan curve theorem&lt;/a&gt;. ~ Simon Guilloud, Sankalp Gambhir, Samuel Chassot. #Mizar #LeanProver #HOL_Light #Agda #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2606.28990v1"&gt;The fundamental theorem of Asset Pricing, formalized in Lean 4&lt;/a&gt;. ~ Raphael Coelho. #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Tabulation_Hashing.html"&gt;Formalization of 3-independence of simple tabulation hashing (in Isabelle/HOL)&lt;/a&gt;. ~ Wei De Leong, Yong Kiam Tan, Seng Joe Watt. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Lower_Bound_Certificates_Planning.html"&gt;Formalization of lower-bound certificates for optimal classical planning&lt;/a&gt;. ~ Dmitriy Traytel. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://isa-afp.org/entries/Submodular_Greedy.html"&gt;Greedy algorithms for cardinality-constrained submodular maximization&lt;/a&gt;. ~ Feier Lyu. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://era.ed.ac.uk/server/api/core/bitstreams/0abbb6de-2234-4219-91f5-6eb9853f9263/content"&gt;On the formalisation of Haag-Kastler nets in higher-order logic&lt;/a&gt;. ~ Richard H. J. Schmoetten. #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://lfmtp.github.io/lfmtp-page/workshops/2026/papers/lfmtp26_paper9.pdf"&gt;Anti-unification completeness analysis in PVS&lt;/a&gt;. ~ Mauricio Ayala-Rincón et als. #PVS #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2510.08452"&gt;Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory&lt;/a&gt;. ~ Vojtěch Štěpančík. #Agda #ITP #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2606.26809v1"&gt;The educational proof assistant Waterproof in an introductory proof course: Proof construction and learning processes&lt;/a&gt;. ~ Pim Otte, Rogier Bos, Johan Commelin, Jim Portegies. #Waterproof #ITP #Teaching #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2605.21221v2"&gt;Binomial coefficients with divisors avoiding an interval&lt;/a&gt;. ~ Hung M. Bui, Slava Naprienko, Kyle Pratt, Alexandru Zaharescu. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/pdf?id=t9iBTo1zBG"&gt;Lean2Isabelle: Factorized cross-assistant proof translation&lt;/a&gt;. ~ Guanyu Liu, Jingkun Ma, Derek F. Wong. #AI4Math #LeanProver #IsabelleHOL #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.researchgate.net/profile/Pawel-Przybylowicz-2/publication/408133759_Local_Reasoning_Models_for_Mathematics_-From_installation_through_concepts_to_workflows_with_Ollama/links/6a3ec9a668552924bb0257e5/Local-Reasoning-Models-for-Mathematics-From-installation-through-concepts-to-workflows-with-Ollama.pdf"&gt;Local reasoning models for mathematics (From installation, through concepts, to workflows with Ollama)&lt;/a&gt;. ~ Paweł Przybyłowicz. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://gilkalai.wordpress.com/2026/07/02/the-ramanujan-challenge-for-ai/"&gt;The Ramanujan challenge for AI&lt;/a&gt;. ~ Gil Kalai. #AI4Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://rkirov.github.io/posts/jacobian/"&gt;The jacobian challenge retro&lt;/a&gt;. ~ Rado Kirov. #AI4Math #LeanProver #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://exploring-better-ways.bellroy.com/haskell-koan-type-checked-non-empty-strings.html"&gt;Haskell koan: Type-checked non-empty strings&lt;/a&gt;. ~ Mike Ledger. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/W5NYmUmjS3w"&gt;#RetoLean4: Construcción en Lean 4 de las soluciones del reto 7 (La composición de inyectivas es inyectiva)&lt;/a&gt;. #LeanProver #ITP #Math&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>AI4Math</category><category>FunctionalProgramming</category><category>Haskell</category><category>HOL_Light</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>Math</category><category>Mizar</category><category>PVS</category><guid>https://jaalonso.github.io/vestigium/posts/2026/07/06-readings_shared_07-06-26/</guid><pubDate>Mon, 06 Jul 2026 04:00:00 GMT</pubDate></item><item><title>Readings shared October 13, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/10/14-readings_shared_10-13-25/</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 13 October 2025 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://bdm.unb.br/bitstream/10483/41607/1/2025_BrunoBertoDeOliveiraRibeiro_tcc.pdf"&gt;PVS formalization of proofs of the infinitude of primes&lt;/a&gt;. ~ Bruno Berto de Oliveira Ribeiro. #ITP #PVS #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3763148"&gt;Certified decision procedures for width-independent bitvector predicates&lt;/a&gt;. ~ Siddharth Bhat, Léo Stefanesco, Chris Hughes, Tobias Grosser. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3758317.3759679"&gt;Interactive theorem provers for proof education&lt;/a&gt;. ~ Romina Mahinpei, Manoel Horta Ribeiro, Mae Milano. #ITP #CoqProver #Teaching&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3763052"&gt;Pyrosome: Verified compilation for modular metatheory&lt;/a&gt;. ~ Dustin Jamner, Gabriel Kammer, Ritam Nag, Adam Chlipala. #ITP #CoqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3763068"&gt;Incremental certified programming&lt;/a&gt;. ~ Tomás Díaz, Kenji Maillard, Nicolas Tabareau, Éric Tanter. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3763164"&gt;Proof repair across quotient type equivalences&lt;/a&gt;. ~ Cosmo Viola, Max Fan, Talia Ringer. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://tomasp.net/academic/papers/mixed-initiative-proofs/paper.pdf"&gt;Don’t call us, we’ll call you (Towards mixed-initiative interactive proof assistants for programming language theory)&lt;/a&gt;. ~ Jan Liam Verter, Tomas Petricek. #ITP #Teaching&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3763131"&gt;Synthesizing implication lemmas for interactive theorem proving&lt;/a&gt;. ~ Ana Brendel, Aishwarya Sivaraman, Todd Millstein. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3759161.3763046"&gt;Deriving an Erlang interpreter from a mechanised formal semantics of core Erlang&lt;/a&gt;. ~ Gergő Lajos Turán, Arsenii Fomin, Péter Bereczky, Dániel Horpácsi, Simon Thompson. #ITP #Agda #FunctionalProgramming #Erlang&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3759537.3762694"&gt;Checking a denotational semantics of Scheme in Agda&lt;/a&gt;. ~ Peter D. Mosses. #ITP #Agda&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/pdf/10.1145/3759161.3763045"&gt;Mechanised proofs of atom exhaustion in Erlang&lt;/a&gt;. ~ Arsenii Fomin, Péter Bereczky, Dániel Horpácsi, Gergő Lajos Turán. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2510.08452v1"&gt;Formalizing the zigzag construction of path spaces of pushouts&lt;/a&gt;. ~ Vojtěch Štěpančík. #ITP #Agda&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759538.3759651"&gt;Unification modulo isomorphisms between dependent types for type-based library search&lt;/a&gt;. ~ Satoshi Takimoto, Sosuke Moriguchi, Takuo Watanabe. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3759538.3759652"&gt;Representing data structures with invariants in Haskell: The cases of BST and AVL&lt;/a&gt;. ~ Nicolas Rodriguez, Alberto Pardo, Marcos Viera. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759538.3759653"&gt;A formalization of opaque definitions for a dependent type theory&lt;/a&gt;. ~ Nils Anders Danielsson, Eve Geng. #ITP #Agda #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759538.3759654"&gt;The conatural numbers form an exponential commutative semiring&lt;/a&gt;. ~ Szumi Xie, Viktor Bense. #ITP #Agda #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3771264"&gt;A tale of two lambdas: A haskeller’s journey into OCaml&lt;/a&gt;. ~ Richard A. Eisenberg. #Haskell #OCaml #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759345"&gt;A Clash course in solving Sudoku (Functional pearl)&lt;/a&gt;. ~ Gergő Érdi. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759346"&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://dl.acm.org/doi/10.1145/3759164.3759347"&gt;Plinth: A plugin-powered language built on Haskell&lt;/a&gt;. ~ Ziyang Liu, Kenneth MacKenzie, Roman Kireev, Michael Peyton Jones, Philip Wadler, Manuel Chakravarty. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759348"&gt;Rebound: Efficient, expressive, and well-scoped binding&lt;/a&gt;. ~ Noé De Santo, Stephanie Weirich. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759349"&gt;Total type classes&lt;/a&gt;. ~ Robert Weingart, Nicolas Wu. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759350"&gt;Automatic C bindings generation for Haskell&lt;/a&gt;. ~ Travis Cardwell, Sam Derbyshire, Edsko de Vries, Dominik Schrempf. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759351"&gt;Lightweight testing of persistent amortized time complexity in the credit monad&lt;/a&gt;. ~ Anton Lorenzen. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3759164.3759352"&gt;Freer arrows and why you need them in Haskell&lt;/a&gt;. ~ Grant VanDomelen, Gan Shen, Lindsey Kuper, Yao Li. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/abs/10.1145/3759164.3759353"&gt;Staging automatic differentiation with fusion&lt;/a&gt;. ~ Samuel Klumpers, Tom Schrijvers. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/10.1145/3764068"&gt;An empirical evaluation of property-based testing in Python&lt;/a&gt;. ~ Savitha Ravi, Michael Coblenz. #Python #Programming&lt;/li&gt;
&lt;/ul&gt;</description><category>Agda</category><category>CoqProver</category><category>Erlang</category><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>Math</category><category>OCaml</category><category>Programming</category><category>PVS</category><category>Python</category><category>Rocq</category><guid>https://jaalonso.github.io/vestigium/posts/2025/10/14-readings_shared_10-13-25/</guid><pubDate>Tue, 14 Oct 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared October 6, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/10/07-readings_shared_10-06-25/</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 6 October 2025 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://youtu.be/TMM2QnX5BG8"&gt;An introduction to formal real analysis (Lecture 8: Advanced limit theorems and induction)&lt;/a&gt;. ~ Alex Kontorovich. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.cs.princeton.edu/~appel/papers/coo-csr.pdf"&gt;Formal verification of COO to CSR sparse matrix conversion&lt;/a&gt;. ~ Andrew W. Appel. #ITP #CoqProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2510.01346v1"&gt;Aristotle: IMO-level automated theorem proving&lt;/a&gt;. ~ Tudor Achim et als. #AI #Math #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://dl.acm.org/doi/pdf/10.1145/369733"&gt;Waitfree linearization of an arbitrary data object&lt;/a&gt;. ~ Wim Hendrik Hesselink.2#page=135 #ITP #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://philsci-archive.pitt.edu/24324/1/Epistemic_Value_of_Proof.pdf"&gt;Correctness, artificial intelligence, and the epistemic value of mathematical proof&lt;/a&gt;. ~ James Owen Weatherall, Jesse Wolfson. #Math #AI #ITP&lt;/li&gt;
&lt;li&gt;&lt;a href="https://mmhaskell.com/blog/2025/10/6/dynamic-programming-primer"&gt;Dynamic programming primer&lt;/a&gt;. ~ James Bowen. #Haskell #FunctionalProgramming #RustLang&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/07/18-matriz_permutacion/"&gt;#Exercitium: Matriz permutación&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Matemáticas&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>CoqProver</category><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>PVS</category><category>RustLang</category><guid>https://jaalonso.github.io/vestigium/posts/2025/10/07-readings_shared_10-06-25/</guid><pubDate>Tue, 07 Oct 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared October 01, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/10/02-readings_shared_10-01-25/</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 01 October 2025 are:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://mayalarincon.github.io/InfinitudePrimes_Extended.pdf"&gt;A PVS library on the infinitude of primes&lt;/a&gt;. ~ Bruno Berto de Oliveira Ribeiro, Mariano M. Moscato, Thaynara Arielly de Lima, Mauricio Ayala-Rincón. #ITP #PVS #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://youtu.be/4xPcdESnsEE"&gt;An introduction to formal real analysis (Lecture 7: Uniqueness and advanced limit theorems)&lt;/a&gt;. ~ Alex Kontorovich. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://openreview.net/forum?id=DNunBkhEUx"&gt;Agentic Lean Auformalization (ALA): An LLM collaborative approach to autoformalization in LEAN&lt;/a&gt;. ~ Patricio Gallardo, Maziar Raissi, Ke Zhang, Sudhir Murthy. #Autoformalization #ITP #LeanProver #LLMs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2509.22819"&gt;Hilbert: Recursively building formal proofs with informal reasoning&lt;/a&gt;. ~ Sumanth Varambally, Thomas Voice, Yanchao Sun, Zhifeng Chen, Rose Yu, Ke Ye. #AI #Math #LLMs #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2408.15180"&gt;Formalizing Mason-Stothers theorem and its corollaries in Lean 4&lt;/a&gt;. ~ Jineon Baek, Seewoo Lee. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2509.25883"&gt;Nominal sets in Rocq&lt;/a&gt;. ~ Fabrício Sanches Paranhos, Daniel Ventura. #ITP #Rocq #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://abuseofnotation.github.io/category-theory-illustrated/11_natural_transformations/"&gt;Category theory illustrated: Natural transformations&lt;/a&gt;. ~ Jencel Panic. #CategoryTheory&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>Autoformalization</category><category>CategoryTheory</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Math</category><category>PVS</category><category>Rocq</category><guid>https://jaalonso.github.io/vestigium/posts/2025/10/02-readings_shared_10-01-25/</guid><pubDate>Thu, 02 Oct 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared July 5, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/07/06-readings_shared_07-05-25/</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 5 July 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://adam.math.hhu.de/#/g/kbuzzard/FilterGame"&gt;The filter game (in Lean 4)&lt;/a&gt;. ~ Kevin Buzzard. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://people.eng.unimelb.edu.au/rizkallahc/theses/chew-yi-feng-masters-thesis.pdf"&gt;Formal verification of quantum stabiliser codes by stabiliser formalism&lt;/a&gt;. ~ Qiuyi Feng. #ITP #CoqProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://ntrs.nasa.gov/api/citations/20250006044/downloads/NFM_Keynote_STRIVES-psm.pdf"&gt;Formal methods at NASA: Past, present, and future&lt;/a&gt;. ~ Paul Miner, Natasha Neogi. #FormalMethods #ITP #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://hal.science/hal-05133722/document"&gt;A proof-assisted conversion of signal temporal logic formulas into negative normal form&lt;/a&gt;. ~ Danil Berrah, François Pessaux, Alexandre Chapoutot. #ITP #Rocq&lt;/li&gt;
&lt;li&gt;&lt;a href="https://kairose-master.github.io/mu_eq_pi/pdf/mu_eq_pi.pdf"&gt;Functorial flattening of the state monad via vector‐space projection (A formally verified collapse model in Lean 4)&lt;/a&gt;. ~ Jinu Jang. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.00782v1"&gt;A diagrammatic calculus for a functional model of natural language semantics&lt;/a&gt;. ~ Matthieu Pierre Boyer. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2024.5"&gt;Implementing a type theory with observational equality, using normalisation by evaluation&lt;/a&gt;. ~ Matthew Sirman, Meven Lennon-Bertrand, Neel Krishnaswami. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2507.01903v1"&gt;AI4Research: A survey of artificial intelligence for scientific research&lt;/a&gt;. ~ Qiguang Chen et als. #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/i1m-18"&gt;Curso "Informática (2018-19)"&lt;/a&gt;. #Haskell #ProgramaciónFuncional #Algorítmica #CálculoSimbólico #Maxima&lt;/li&gt;
&lt;li&gt;&lt;a href="https://web.archive.org/web/http://www.cs.us.es/~jalonso/cursos/i1m-18/temas/2018-19-I1M-temas-PF.pdf"&gt;Temas de "Programación funcional" (2018-19)&lt;/a&gt;. #Haskell #ProgramaciónFuncional&lt;/li&gt;
&lt;li&gt;&lt;a href="https://web.archive.org/web/http://www.cs.us.es/~jalonso/cursos/i1m-18/ejercicios/ejercicios-I1M-2018.pdf"&gt;Ejercicios de programación funcional con Haskell (curso 2018-19)&lt;/a&gt;. #Haskell #ProgramaciónFuncional&lt;/li&gt;
&lt;li&gt;&lt;a href="https://web.archive.org/web/https://raw.githubusercontent.com/jaalonso/Examenes_de_PF_con_Haskell_Vol10/master/Libro/Examenes_de_PF_con_Haskell_Vol10.pdf"&gt;Exámenes de programación funcional con Haskell (curso 2018-19)&lt;/a&gt;. #Haskell #ProgramaciónFuncional&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>CoqProver</category><category>FormalMethods</category><category>FunctionalProgramming</category><category>Haskell</category><category>ITP</category><category>LeanProver</category><category>Math</category><category>Maxima</category><category>PVS</category><category>Rocq</category><guid>https://jaalonso.github.io/vestigium/posts/2025/07/06-readings_shared_07-05-25/</guid><pubDate>Sun, 06 Jul 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 14, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/14-readings_shared_03-14-25/</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 14 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://www.youtube.com/live/78CQ2A5_EvI"&gt;La théorie des types, de Russell aux assistans à la demostration&lt;/a&gt;. ~ Thierry Coquand. #TypeTheory #ITP #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.09730"&gt;Local look-ahead guidance via verifier-in-the-loop for automated theorem proving&lt;/a&gt;. ~ Sara Rajaee, Kumar Pratik, Gabriele Cesa, Arash Behboodi. #LLMs #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.cis.upenn.edu/~jean/math-deep.pdf"&gt;Algebra, topology, differential calculus, and optimization theory for computer science and machine learning&lt;/a&gt;. ~ Jean Gallier, Jocelyn Quaintance. #Math #CompSci #MachineLearning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://theconversation.com/las-matematicas-son-sobre-todo-hermosas-251976"&gt;Las matemáticas son, sobre todo, hermosas&lt;/a&gt;. ~ Marta Macho-Stadler. #Matemáticas&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/04/25-mastermind/"&gt;#Exercitium: Mastermind&lt;/a&gt;. #Haskell #FunctionalProgramming&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2020/03/12-la_dama_o_el_tigre"&gt;#Calculemus: La dama o el tigre&lt;/a&gt;. #IsabelleHOL #Lógica&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/d-ra-05"&gt;Curso "Razonamiento automático (2005-06)"&lt;/a&gt;. #ATP #Otter #Mace #ITP #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/li-06"&gt;Curso "Lógica informática (2006-07)"&lt;/a&gt;. #Logic #Math #CompSci&lt;/li&gt;
&lt;/ul&gt;</description><category>ATP</category><category>CompSci</category><category>FunctionalProgramming</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>LeanProver</category><category>LLMs</category><category>Logic</category><category>Mace</category><category>MachineLearning</category><category>Math</category><category>Otter</category><category>PVS</category><category>TypeTheory</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/14-readings_shared_03-14-25/</guid><pubDate>Fri, 14 Mar 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 12, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/12-readings_shared_03-12-25/</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 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.07625"&gt;A formal proof of the irrationality of ζ(3) in Lean 4&lt;/a&gt;. ~ Junqi Liu, Jujian Zhang, Lihong Zhi. #ITP #LeanProver #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/04/23-bandera_tricolor/"&gt;#Exercitium: La bandera tricolor&lt;/a&gt;. #Haskell&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2020/01/30-teorema_de_nicomaco/"&gt;#Calculemus: Teorema de Nicómaco&lt;/a&gt;. #IsabelleHOL #Lógica #Matemática&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/dat-04"&gt;Curso "Demostración automática de teoremas (2004-05)"&lt;/a&gt;. #ATP #Otter #Mace #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/d-pl-04"&gt;Curso "Programación lógica (2004-05)"&lt;/a&gt;. #LogicProgramming #Prolog #AI #NLP #Constraints #MachineLearning&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/d-ra-04"&gt;Curso "Razonamiento automático (2004-05)"&lt;/a&gt;. #ATP #Otter #Mace #Jape #Logic #ITP #PVS&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>ATP</category><category>Constraints</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>Jape</category><category>LeanProver</category><category>Logic</category><category>LogicProgramming</category><category>Mace</category><category>MachineLearning</category><category>Math</category><category>NLP</category><category>Otter</category><category>Prolog</category><category>PVS</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/12-readings_shared_03-12-25/</guid><pubDate>Wed, 12 Mar 2025 04:00:00 GMT</pubDate></item><item><title>Readings shared March 11, 2025</title><link>https://jaalonso.github.io/vestigium/posts/2025/03/11-readings_shared_03-11-25/</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 11 March 2025 are&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://www.joachim-breitner.de/blog/816-Extrinsic_termination_proofs_for_well-founded_recursion_in_Lean"&gt;Extrinsic termination proofs for well-founded recursion in Lean&lt;/a&gt;. ~ Joachim Breitner. #ITP #LeanProver&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.philipzucker.com/knuth_bendix_knuck/"&gt;Knuth Bendix solver on Z3 AST&lt;/a&gt;. ~ Philip Zucker. #SMT #Z3&lt;/li&gt;
&lt;li&gt;&lt;a href="https://thonyc.wordpress.com/2025/02/12/books-on-the-history-of-mathematics-some-thoughts/"&gt;Books on the history of mathematics, some thoughts&lt;/a&gt;. ~ Thony Christie. #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2405.06705"&gt;LLMs can find mathematical reasoning mistakes by pedagogical chain-of-thought&lt;/a&gt;. ~ Zhuoxuan Jiang et als. #LLMs #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2503.06812"&gt;Can proof assistants verify multi-agent systems? ~ Julian Alfredo Mendez, Timotheus Kampik&lt;/a&gt;. #MAS #FormalVerification #LeanProver #Scala&lt;/li&gt;
&lt;li&gt;&lt;a href="https://arxiv.org/abs/2502.17764"&gt;DeepSeek vs. ChatGPT vs. Claude: A comparative study for scientific computing and scientific machine learning tasks&lt;/a&gt;. ~ Qile Jiang, Zhiwei Gao, George Em Karniadakis. #LLMs #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.quantamagazine.org/why-do-researchers-care-about-small-language-models-20250310/"&gt;Why do researchers care about small language models?&lt;/a&gt; ~ Stephen Ornes. #LLMs #SMLs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://www.danliden.com/notes/20250308-registers-1.html"&gt;Navigating between points with registers&lt;/a&gt;. ~ Daniel Liden. #Emacs&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/exercitium/posts/2014/04/22-ordenados_por_maximo/"&gt;#Exercitium: Ordenación por el máximo&lt;/a&gt;. #Haskell&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/calculemus/posts/2020/01/24-reto/"&gt;#Calculemus: Reto f(f(f(b))) = f(b)&lt;/a&gt;. #IsabelleHOL #Lógica #Matemática&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/dat-02/index.html"&gt;Curso "Demostración automática de teoremas (2002-03)"&lt;/a&gt;. #ATP #Otter #Mace #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/d-pl-03/index.html"&gt;Curso "Programación lógica (2003-04)"&lt;/a&gt;. #LogicProgramming #Prolog #AI&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/d-ra-03/index.html"&gt;Curso "Razonamiento automático (2003-04)"&lt;/a&gt;. #ATP #Otter #Mace #ITP #Jape #PVS&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/li-04"&gt;Curso "Lógica informática (2004-05)"&lt;/a&gt;. #Logic #Math&lt;/li&gt;
&lt;li&gt;&lt;a href="https://jaalonso.github.io/cursos/pd-04"&gt;Curso "Programación declarativa (2004-05)"&lt;/a&gt;. #LogicProgramming #Prolog&lt;/li&gt;
&lt;/ul&gt;</description><category>AI</category><category>ATP</category><category>Emacs</category><category>FormalVerification</category><category>Haskell</category><category>IsabelleHOL</category><category>ITP</category><category>Jape</category><category>LeanProver</category><category>LLMs</category><category>Logic</category><category>LogicProgramming</category><category>Mace</category><category>MAS</category><category>Math</category><category>Otter</category><category>Prolog</category><category>PVS</category><category>Scala</category><category>SMLs</category><category>SMT</category><category>Z3</category><guid>https://jaalonso.github.io/vestigium/posts/2025/03/11-readings_shared_03-11-25/</guid><pubDate>Tue, 11 Mar 2025 04:00:00 GMT</pubDate></item></channel></rss>