https://jaalonso.github.io/vestigium/esContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <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"></a>Thu, 01 Oct 2026 13:00:02 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/vestigium/posts/2026/04/04-readings_shared_04-04-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 4 April 2026 are:</p> <ul> <li><a href="https://leodemoura.github.io/blog/2026-4-2-why-lean/">Why Lean?</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.24823v1">A formalization of the Gelfond-Schneider theorem</a>. ~ Michail Karatarakis, Freek Wiedijk. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.23095v1">Formalizing Pick's theorem, efficiently</a>. ~ Michael Eisermann. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.26342v1">Lean on Vampire proofs (short paper)</a>. ~ Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, Michael Rawson. #LeanProver #ITP #Vampire #ATP</li> <li><a href="https://es.gizmodo.com/la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian-2000229508">La IA acaba de hacerle una pregunta incómoda a la física teórica. Qué pasa si algunos de sus resultados más citados nunca fueron tan sólidos como parecían</a>. ~ Martín Nicolás Parolari. #LeanProver</li> <li><a href="https://arxiv.org/abs/2604.01483v1">Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving</a>. ~ Devakh Rashie, Veda Rashi. #LeanProver #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2603.28406v1">Physics as code: From scans to theorems with ITP APIs in SU(5) model building</a>. ~ Sven Krippendorf, Joseph Tooby-Smith. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.27007v1">Pairwise independence of representation, classification, and composition in finite extensional magmas</a>. ~ Stefano Palmieri. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2603.28636v1">Optimal bounds for an Erdős problem on matching integers to distinct multiples</a>. ~ Wouter van Doorn, Yanyang Li, Quanyu Tang. #AI4Math #LeanProver #ITP #LLMs</li> <li><a href="https://hxrts.com/telltale/papers/paper1.pdf">Coherence for asynchronous buffered MPST: A mechanized metatheory</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper2.pdf">Computable dynamics for asynchronous MPST: Lyapunov descent, critical capacity, and decision procedures</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper3.pdf">Harmony from coherence in asynchronous MPST: A minimal erasure invariant for classical dynamics</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.25682v1">On the formalization of network topology matrices in HOL</a>. ~ Kubra Aksoy, Adnan Rashid, Osman Hasan, Sofiene Tahar. #ISabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.20405v1">Putnam 2025 problems in Rocq using Opus 4</a>.6 and Rocq-MCP. ~ Guillaume Baudart, Marc Lelarge, Tristan Stérin, Jules Viennot. #RocqProver #AI4Math</li> <li><a href="https://youtu.be/5fAWYqM9v8k">Representing graphs in Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://youtu.be/EjNalq6EihU">Encodings into the λ-calculus</a>. ~ Kristopher Micinski. #LambdaCalculus #Racket #FunctionalProgramming</li> <li><a href="https://stopa.io/post/269">What Gödel discovered</a>. ~ Stepan Parunashvili. #Logic #Math #Lisp #Programming</li> <li><a href="https://www.technologyreview.com/2026/03/25/1134642/this-startup-wants-to-change-how-mathematicians-do-math/">This startup wants to change how mathematicians do math</a>. ~ Will Douglas Heaven. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.29961v1">Short proofs in combinatorics and number theory</a>. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math</li> <li><a href="https://mathscholar.org/2026/04/how-effective-are-current-ai-models-on-mathematical-research-problems/">How effective are current AI models on mathematical research problems?</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.26524v1">Mathematical methods and human thought in the age of AI</a>. ~ Tanya Klowden, Terence Tao. #AI #Math</li> <li><a href="https://abuseofnotation.github.io/category-theory-illustrated/06_type/">Category theory illustrated: Types</a>. ~ Jencel Panic. #CategoryTheory #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/11-resena-de-leantutor-a-formally-verified-ai-tutor-for-mathematical-proofs/">Reseña de 'LeanTutor: A formally-verified AI tutor for mathematical proofs'</a>. #ITP #LeanProver #Math #AIforMath #Teaching</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-matp-bench-can-mllm-be-a-good-automated-theorem-prover-for-multimodal-problems/">Reseña de «MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems?»</a>. #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-mathesis-towards-formal-theorem-proving-from-natural-languages/">Reseña de «Mathesis: Towards formal theorem proving from natural languages»</a>. #AI #LLMs #Math #ITP #LeanProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hardest-problems-in-mathematics-physics-the-future-of-ai/">Reseña de «Hardest problems in mathematics, physics &amp; the future of AI»</a>. #ITP #LeanProver #AI #Math #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hablemos-de-lisp/">Reseña de «Hablemos de Lisp»</a>. #Lisp #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/01-diophantine-equations-over-z-universal-bounds-and-parallel-formalization/">Reseña de «Diophantine equations over Z: Universal bounds and parallel formalization»</a>. #ITP #IsabelleHOL #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/27-solving-formal-math-problems-by-decomposition-and-iterative-reflection/">Reseña de «Solving formal math problems by decomposition and iterative reflection»</a>. #AI4Math #LLMs #ProofAssistants #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/vestigium/">Reseña de «The Infinity Project (How to use AI and mathematics to prove and improve science and security)»</a>. #AI #Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-olympiad-level-formal-mathematical-reasoning-with-reinforcement-learning/">Reseña de «Olympiad-level formal mathematical reasoning with reinforcement learning»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/21-deepminds-latest-an-ai-for-handling-mathematical-proofs/">Reseña de «DeepMind’s latest: An AI for handling mathematical proofs»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/05-formalization-of-erdos-problems/">Reseña de «Formalization of Erdős problems»</a>. #ITP #LeanProver #Math #Autoformalization</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/13-resena-de-machine-assistance-and-the-future-of-research-mathematics/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/17-resena-de-mathematics-and-machine-creativity-a-survey-on-bridging-mathematics-with-ai/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/03-resena-de-completing-the-formal-proof-of-higher-dimensional-sphere-packing/">Reseña de «Completing the formal proof of higher-dimensional sphere packing»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/09-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/23-resena-de-coding-after-coders-the-end-of-computer-programming-as-we-know-it/">Reseña de «Coding after coders: The end of computer programming as we know it»</a>. #AI #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/24-resena-de-eval-awareness-in-claude-opus-46s-browsecomp-performance/">Reseña de «Eval awareness in Claude Opus 4</a>.6’s BrowseComp performance». #AI</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/25-resena-de-formal-verification-and-ai-are-reshaping-mathematical-research/">Reseña de «Formal verification and AI are reshaping mathematical research»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-in-math-rigor-is-vital-but-are-digitized-proofs-taking-it-too-far/">Reseña de «In math, rigor is vital</a>. But are digitized proofs taking it too far?». #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-can-machines-do-mathematics/">Reseña de «Can machines do mathematics?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-impulsar-las-matematicas-guiando-la-intuicion-humana-con-ia/">Reseña de «Advancing mathematics by guiding human intuition with AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/28-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-what-happens-when-ai-starts-checking-mathematicians-work/">Reseña de «What happens when AI starts checking mathematicians’ work»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-as-ai-keeps-improving-mathematicians-struggle-to-foretell-their-own-future/#AI4Math">Reseña de «As AI keeps improving, mathematicians struggle to foretell their own future»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-mathematics-in-the-library-of-babel/">Reseña de «Mathematics in the library of Babel»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-embracing-ai-and-formalization-experimenting-with-tomorrows-mathematical-tools/">Reseña de «Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-resena-de-this-startup-wants-to-change-how-mathematicians-do-math/">Reseña de «This startup wants to change how mathematicians do math»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/01-la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian/">Reseña de «La IA acaba de hacerle una pregunta incómoda a la física teórica</a>. Qué pasa si algunos de sus resultados más citados nunca fueron tan sólidos como parecían». #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/02-short-proofs-in-combinatorics-and-number-theory/">Reseña de «Short proofs in combinatorics and number theory»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-mathematical-methods-and-human-thought-in-the-age-of-ai/">Reseña de «Mathematical methods and human thought in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/09-accelerating-mathematics/">Reseña de «Accelerating mathematics»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-type-checked-compliance-deterministic-guardrails-for-agentic-financial-systems-using-lean-4-theorem-proving/">Reseña de «Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving»</a>. #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-what-godel-discovered/">Reseña de «What Gödel discovered»</a>. #Logic #Math #Lisp #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-why-lean/">Reseña de «Why Lean?»</a>. #LeanProver #ITP #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-deepseek-prover-v2-7b-bridges-the-gap-between-mathematical-thought-and-formal-code/">Reseña de «DeepSeek-Prover-V2-7B bridges the gap between mathematical thought and formal code»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/03-recent-advances-in-llms-for-mathematics/">Reseña de «Recent advances in LLMs for mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/31-aristotle-an-ai-theorem-prover-using-lean/">Reseña de «Aristotle, an AI theorem prover using Lean»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/24-sobre-la-resolucion-de-problemas-de-erdos-usando-inteligencia-artificial-generativa/">Reseña de «Sobre la resolución de problemas de Erdös usando inteligencia artificial generativa»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/09-the-story-of-erdos-problem-1026/">Reseña de «The story of Erdős problem #1026»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/07-50-years-of-proof-assistants/">Reseña de «50 years of proof assistants»</a>. #ITP #IsabelleHOL #LeanProver #CoqProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/18-teaching-real-analysis-as-a-game/">Reseña de «Teaching real analysis as a game»"</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-how-we-achieved-an-imo-medal-one-year-before-any-other-ai-system/">Reseña de «How we achieved an IMO medal, one year before any other AI system»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/08-a-new-paradigm-for-mathematical-proof/">Reseña de «A new paradigm for mathematical proof?»</a>. #Math #ITP #LeanProver #Agda</li> </ul>AgdaAIAI4MathAlphaProofATPAutoformalizationCategoryTheoryCoqProverFunctionalProgrammingIsabelleHOLITPLambdaCalculusLeanProverLispLLMsLogicLogicProgrammingMathPhysicsProgrammingPrologRacketRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/04/04-readings_shared_04-04-26/Sun, 05 Apr 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/01/28-readings_shared_01-28-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 28 January 2025 are</p> <ul> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/01/26-readings_shared_01-26-25">Readings shared January 26, 2025</a>. #ITP #LeanProver #HOL_Light #Math</li> <li><a href="https://scholarlypublications.universiteitleiden.nl/handle/1887/4176739">The directed Van Kampen Theorem in Lean</a>. ~ Henning Basoldm, Peter Bruin, Dominique Lawson. #ITP #LeanProver #Math</li> <li><a href="https://bitsandtheorems.com/the-simplicity-of-prolog/">The simplicity of Prolog</a>. ~ Ties Westendorp. #Prolog #LogicProgramming</li> <li><a href="https://beautifulracket.com/">Beautiful Racket (An introduction to language-oriented programming using Racket)</a>. ~ Matthew Butterick. #Racket #FunctionalProgramming</li> <li><a href="https://adam.math.hhu.de">New game posted on Lean Game Server: Reasoning</a>. ~ Jad Abou Hawili./#/g/jadabouhawili/knightsandknaves-lean4game #ITP #LeanProver</li> <li><a href="https://youtube.com/playlist?list=PLX21uJ4UfpF43NExUcPcAEgnzV58x_26l">Lean for scientists and engineers</a>. ~ Tyler Josephson. #ITP #LeanProver</li> <li><a href="https://github.com/lean-mine">lean-mine: A collection of problems solved in Lean</a>. #ITP #LeanProver #Math</li> <li><a href="https://github.com/lean-mine/baby-rudin-project">Baby Rudin project: An attempt to formalize every problem in Baby Rudin with natural language description</a>. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/SeVb2DPqvx0">Homo ratiocinator (Reckoning human)</a>. ~ Moshe Vardi. #Logic #Math</li> </ul>FunctionalProgrammingITPLeanProverLogicLogicProgrammingMathPrologRackethttps://jaalonso.github.io/vestigium/posts/2025/01/28-readings_shared_01-28-25/Tue, 28 Jan 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2024/12/02-readings_shared_12-02-24/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 2 December 2024 are</p> <ul> <li><a href="https://jaalonso.github.io/vestigium/posts/2024/12/01-readings_shared_12-01-24">Readings shared December 1, 2024</a>. #ITP #IsabelleHOL #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2024/12/02-tendsto_mul/">Proofs of "If uₙ tends to a y vₙ tends to b, then uₙvₙ tends to ab" in Lean4</a>. #ITP #Lean4 #Math #Calculemus</li> <li><a href="https://youtu.be/k2sGtzGGK6k">Lean: First steps (15 - Zero product)</a>. ~ Tariq Rashid. #ITP #Lean4 #Math</li> <li><a href="https://youtu.be/XrvlSwb0qcY">Lean: First steps (16 - Writing our own lemma)</a>. ~ Tariq Rashid. #ITP #Lean4 #Math</li> <li><a href="https://docs.racket-lang.org/ctp/index.html">Category theory in programming</a>. ~ Noah Ma. #CategoryTheory #Math #Racket #FunctionalProgramming</li> </ul>CalculemusCategoryTheoryFunctionalProgrammingITPLeanLangMathRackethttps://jaalonso.github.io/vestigium/posts/2024/12/02-readings_shared_12-02-24/Mon, 02 Dec 2024 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2024/08/25-readings_shared_08-24-24/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on August 24, 2024 are</p> <ul> <li><a href="https://jaalonso.github.io/vestigium/posts/2024/08/24-readings_shared_08-23-24">Readings shared August 23, 2024</a>. #ITP #IsabelleHOL #LeanProver #Lean4 #AI #DeepLearning #Haskell #FunctionalProgramming #LogicProgramming #Python</li> <li><a href="https://cs.uwaterloo.ca/~plragde/flaneries/LACI/">Logic and computation intertwined</a>. ~ Prabhakar Ragde. #Logic #Racket #ITP #Coq #Agda</li> <li><a href="https://jpyamamoto.com/projects/dependent-types/dept.pdf">Tipos dependientes: λP</a>. ~ Juan Pablo Yamamoto Zazueta. #TypeTheory #CurryHoward</li> </ul>AgdaCoqCurryHowardITPLogicRacketTypeTheoryhttps://jaalonso.github.io/vestigium/posts/2024/08/25-readings_shared_08-24-24/Sun, 25 Aug 2024 04:00:00 GMT