Vestigium (Publicaciones sobre Physics)

Readings shared April 4, 2026

José A. Alonso — Sun, 05 Apr 2026 04:00:00 GMT

The readings shared in Bluesky on 4 April 2026 are:

Why Lean?. ~ Leonardo de Moura. #LeanProver #ITP
A formalization of the Gelfond-Schneider theorem. ~ Michail Karatarakis, Freek Wiedijk. #LeanProver #ITP #Math
Formalizing Pick's theorem, efficiently. ~ Michael Eisermann. #LeanProver #ITP #Math
Lean on Vampire proofs (short paper). ~ Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, Michael Rawson. #LeanProver #ITP #Vampire #ATP
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. ~ Martín Nicolás Parolari. #LeanProver
Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving. ~ Devakh Rashie, Veda Rashi. #LeanProver #ITP #LLMs
Physics as code: From scans to theorems with ITP APIs in SU(5) model building. ~ Sven Krippendorf, Joseph Tooby-Smith. #LeanProver #ITP #Physics
Pairwise independence of representation, classification, and composition in finite extensional magmas. ~ Stefano Palmieri. #ITP #LeanProver
Optimal bounds for an Erdős problem on matching integers to distinct multiples. ~ Wouter van Doorn, Yanyang Li, Quanyu Tang. #AI4Math #LeanProver #ITP #LLMs
Coherence for asynchronous buffered MPST: A mechanized metatheory. ~ Sam Hart Berman. #LeanProver #ITP #Physics
Computable dynamics for asynchronous MPST: Lyapunov descent, critical capacity, and decision procedures. ~ Sam Hart Berman. #LeanProver #ITP #Physics
Harmony from coherence in asynchronous MPST: A minimal erasure invariant for classical dynamics. ~ Sam Hart Berman. #LeanProver #ITP #Physics
On the formalization of network topology matrices in HOL. ~ Kubra Aksoy, Adnan Rashid, Osman Hasan, Sofiene Tahar. #ISabelleHOL #ITP #Math
Putnam 2025 problems in Rocq using Opus 4.6 and Rocq-MCP. ~ Guillaume Baudart, Marc Lelarge, Tristan Stérin, Jules Viennot. #RocqProver #AI4Math
Representing graphs in Prolog. ~ Markus Triska. #Prolog #LogicProgramming
Encodings into the λ-calculus. ~ Kristopher Micinski. #LambdaCalculus #Racket #FunctionalProgramming
What Gödel discovered. ~ Stepan Parunashvili. #Logic #Math #Lisp #Programming
This startup wants to change how mathematicians do math. ~ Will Douglas Heaven. #AI4Math
Short proofs in combinatorics and number theory. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math
How effective are current AI models on mathematical research problems?. ~ David H Bailey. #AI4Math
Mathematical methods and human thought in the age of AI. ~ Tanya Klowden, Terence Tao. #AI #Math
Category theory illustrated: Types. ~ Jencel Panic. #CategoryTheory #Math
Reseña de 'LeanTutor: A formally-verified AI tutor for mathematical proofs'. #ITP #LeanProver #Math #AIforMath #Teaching
Reseña de «MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems?». #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath
Reseña de «Mathesis: Towards formal theorem proving from natural languages». #AI #LLMs #Math #ITP #LeanProver #AIforMath
Reseña de «Hardest problems in mathematics, physics & the future of AI». #ITP #LeanProver #AI #Math #AIforMath
Reseña de «Hablemos de Lisp». #Lisp #FunctionalProgramming
Reseña de «Diophantine equations over Z: Universal bounds and parallel formalization». #ITP #IsabelleHOL #Math
Reseña de «Solving formal math problems by decomposition and iterative reflection». #AI4Math #LLMs #ProofAssistants #LeanProver #Math
Reseña de «The Infinity Project (How to use AI and mathematics to prove and improve science and security)». #AI #Math #ITP #LeanProver
Reseña de «Olympiad-level formal mathematical reasoning with reinforcement learning». #AI #Math #ITP #LeanProver #AlphaProof
Reseña de «DeepMind’s latest: An AI for handling mathematical proofs». #AI #Math #ITP #LeanProver #AlphaProof
Reseña de «Formalization of Erdős problems». #ITP #LeanProver #Math #Autoformalization
Reseña de «Machine assistance and the future of research mathematics». #AI4Math
Reseña de «Machine assistance and the future of research mathematics». #AI4Math
Reseña de «AI that can prove it’s right: Verification as the missing layer in AI». #AI4Math #LeanProver
Reseña de «Completing the formal proof of higher-dimensional sphere packing». #AI4Math
Reseña de «Shaping the future of mathematics in the age of AI». #AI4Math
Reseña de «AI for mathematical and scientific discovery». #AI4Math
Reseña de «Mathematicians in the age of AI». #AI4Math
Reseña de «Coding after coders: The end of computer programming as we know it». #AI #Programming
Reseña de «Eval awareness in Claude Opus 4.6’s BrowseComp performance». #AI
Reseña de «Formal verification and AI are reshaping mathematical research». #AI4Math #ITP #LeanProver
Reseña de «In math, rigor is vital. But are digitized proofs taking it too far?». #AI4Math #LeanProver #ITP
Reseña de «Can machines do mathematics?». #AI4Math #LeanProver #ITP
Reseña de «Advancing mathematics by guiding human intuition with AI». #AI4Math
Reseña de «Shaping the future of mathematics in the age of AI». #AI4Math #LeanProver #ITP
Reseña de «What happens when AI starts checking mathematicians’ work». #AI4Math #ITP #LeanProver
Reseña de «As AI keeps improving, mathematicians struggle to foretell their own future». #AI4Math
Reseña de «Mathematics in the library of Babel». #AI4Math
Reseña de «Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools». #AI4Math
Reseña de «This startup wants to change how mathematicians do math». #AI4Math
Reseña de «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». #LeanProver #ITP
Reseña de «Short proofs in combinatorics and number theory». #AI4Math
Reseña de «Mathematical methods and human thought in the age of AI». #AI4Math
Reseña de «Mathematicians in the age of AI». #AI4Math
Reseña de «AI for mathematical and scientific discovery». #AI4Math
Reseña de «Accelerating mathematics». #AI4Math #LeanProver
Reseña de «AI that can prove it’s right: Verification as the missing layer in AI». #AI4Math #LeanProver
Reseña de «Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving». #LeanProver
Reseña de «What Gödel discovered». #Logic #Math #Lisp #Programming
Reseña de «Why Lean?». #LeanProver #ITP #FunctionalProgramming
Reseña de «DeepSeek-Prover-V2-7B bridges the gap between mathematical thought and formal code». #AI4Math #LeanProver
Reseña de «Recent advances in LLMs for mathematics». #AI4Math
Reseña de «Aristotle, an AI theorem prover using Lean». #AI4Math #LeanProver
Reseña de «Sobre la resolución de problemas de Erdös usando inteligencia artificial generativa». #AI4Math
Reseña de «The story of Erdős problem #1026». #AI4Math
Reseña de «50 years of proof assistants». #ITP #IsabelleHOL #LeanProver #CoqProver
Reseña de «Teaching real analysis as a game»". #LeanProver #ITP #Math
Reseña de «How we achieved an IMO medal, one year before any other AI system». #AI #Math #ITP #LeanProver #AlphaProof
Reseña de «A new paradigm for mathematical proof?». #Math #ITP #LeanProver #Agda

Readings shared March 19, 2026

José A. Alonso — Fri, 20 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 19 March 2026 are:

Aristotle: The World's most advanced formal reasoning agent. #LeanProver #ITP #Math
Formalization of QFT (quantum field theory). ~ Michael R. Douglas, Sarah Hoback, Anna Mei, Ron Nissim. #LeanProver #ITP #Physics
Formalizing the classical isoperimetric inequality in the two-dimensional case. ~ Miraj Samarakkody. #LeanProver #ITP #Math
Synthetic differential geometry in Lean. ~ Riccardo Brasca, Gabriella Clemente. #LeanProver #ITP #Math
Formal verification of axiom-free gödelian ontological argument and trinity necessity proof in Isabelle HOL. ~ Yong-Dock Kim. #IsabelleHOL #ITP
In the mood for inference: Logic-based natural language inference with large language models. ~ Bill Noble, Rasmus Blanck, Gijs Wijnholds. #Prover9 #ATP #LLMs
Acertijo del día: Un reto diario de lógica. #Logic

Readings shared March 9, 2026

José A. Alonso — Tue, 10 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 9 March 2026 are:

Fantastic simprocs and how to write them. ~ Yaël Dillies, Paul Lezeau. #LeanProver #ITP
Formalization in Lean of faithfully flat descent of projectivity. ~ Liran Shaul. #LeanProver #ITP
Formalizing a proof in Lean using Claude Code. ~ Terence Tao. #LeanProver #ITP #AI4Math
Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature. ~ Joseph Tooby-Smith. #LeanProver #ITP #Physics
Formalizing unstable quasinormal modes and the quantum black hole bomb in Lean 4. ~ Naoki Takata. #ITP #LeanProver
Implementing dependent type theory inhabitation and unification. ~ Chase Norman, Jeremy Avigad. #LeanProver #ITP
LeanTutor: A formally-verified AI tutor for mathematical proofs. ~ Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade. #LeanProver #ITP #Math #AI4Math
Mathematicians in the age of AI. ~ Jeremy Avigad. #AI4Math #LeanProver #ITP
Shaping the future of mathematics in the age of AI. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP
Unbiasing symmetric monoidal categories in Lean. ~ Robin Carlier. #LeanProver #ITP
Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP
A topological rewriting of Tarski’s mereogeometry. ~ Richard Dapoigny. #CoqProver #ITP
Proving and computing: The infinite pigeonhole principle and countable choice. ~ Zena M. Ariola, Paul Downen, Hugo Herbelin. #RocqProver #ITP
The floor is magma. ~ Alexandre Esteves. #Haskell #FunctionalProgramming
Can the most abstract math make the world a better place? ~ Natalie Wolchover. #CategoryTheory #Math
Category theory for programming. ~ Benedikt Ahrens, Kobe Wullaert. #CategoryTheory #Haskell #LeanProver #FunctionalProgramming
Lambda calculus for dummies: The Church encoding. #LambdaCalculus #FunctionalProgramming
Emacs and Vim in the age of AI. ~ Bozhidar Batsov. #Emacs #AI
Una introducción a la programación en Emacs Lisp. ~ Robert J. Chassell, David Arroyo Menéndez. #Emacs #Lisp

Readings shared November 24, 2025

José A. Alonso — Tue, 25 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 24 November 2025 are:

An introduction to formal real analysis (Lecture 21: Functions and derivatives). ~ Alex Kontorovich. #ITP #LeanProver #Math
A perspective on interactive theorem provers in Physics. ~ Joseph Tooby-Smith. #ITP #LeanProver #Physics
ITP 2025 Lean workshop. #ITP #LeanProver
Gödel mirror: A paraconsistent calculus mechanized in Lean 4. ~ Jhet Chan. #ITP #LeanProver #Logic #Math
Automatic geometry theorem proving using polynomial elaboration. ~ Mauricio Barba da Costa et als. #ITP #LeanProver #Math
A topological rewriting of Tarski's mereogeometry. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver
A Coq-based axiomatization of Tarski's mereogeometry. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver
Set theory with types. ~ Lawrence Paulson. #Logic #Math #CompSci #SetTheory #TypeTheory
A new bridge links the strange math of infinity to computer science. ~ Joseph Howlett. #Math #CompSci
Tableau methodology for propositional logics. ~ T. Jarmuzek, R. Gore. #Logic

Readings shared November 2, 2025

José A. Alonso — Mon, 03 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 2 November 2025 are:

"Why don't you use dependent types?" ~ Lawrence Paulson. #ITP #Automath #LCF #IsabelleHOL #LeanProver #TypeTheory
Lean4Physics: Comprehensive reasoning framework for college-level Physics in Lean4. ~ Yuxin Li et als. #ITP #LeanProver #Physics #AI #LLM
On graded coeffect types for information-flow control. ~ Vilem-Benjamin Liepelt et als. #ITP #Agda
Property-based testing for asynchronous functional reactive programming using linear temporal logic. ~ Christian Emil Nielsen, Mathias Faber Kristiansen, Patrick Bahr. #Haskell #FunctionalProgramming

Readings shared October 31, 2025

José A. Alonso — Sat, 01 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 31 October 2025 are:

Virasoro algebra and Sugawara constructions formally in Lean. ~ Kalle Kytölä. #ITP #LeanProver #Math
Derivation of fundamental physical constants from substrate ontology. ~ Matthew Scherf. #ITP #LeanProver #Physics
Conjecture extraction for proof autoformalization. ~ Simon Sorg, Wenda Li, Soumya Banerjee. #AI #Math #ITP #LeanProver #Autoformalization
Accelerating discovery with the AI for Math Initiative (The initiative brings together some of the world's most prestigious research institutions to pioneer the use of AI in mathematical research). ~ Pushmeet Kohli, Eugénie Rives. #AI #Math
GenAI for computing careers: A sunny take (Positive outcomes for computer science graduates will take some determined action from both educators and learners). ~ Saurabh Bagchi. #GenAI #CompSci #Education
#Exercitium: Extensión de un fichero. #Haskell #ProgramaciónFuncional

Readings shared October 22, 2025

José A. Alonso — Thu, 23 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 22 October 2025 are:

Formal or not formal? That is the question in AI for theorem proving. ~ Kevin Buzzard. #AI #Math #LLM #ITP #LeanProver
Formalisation of the Calderón transference principle in ergodic theory. ~ Felix Pernegger. #ITP #LeanProver #Math
OpenAI researcher forced to delete “embarrassing” tweet claiming huge breakthrough. ~ Frank Landymore. #AI #Math
Leading OpenAI researcher announced a GPT-5 math breakthrough that never happened. ~ Matthias Bastian. #AI #Math
PhysLean: A talk for physics undergraduates. ~ Joseph Tooby-Smith. #ITP #LeanProver #Math #Physics
Forbidden Sidon subsets of perfect difference sets, featuring a human-assisted proof. ~ Boris Alexeev, ChatGPT, Lean, Dustin G. Mixon. #AI #Math #LLM #ChatGPT #ITP #LeanProver
Una refutación inusual del problema de Erdős #707: Colaboración humano-IA y el papel de Lean. #AI #Math #LLM #ITP #LeanProver
#Exercitium: Elementos no repetidos. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared October 02, 2025

José A. Alonso — Fri, 03 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 02 October 2025 are:

Digitalizing physics into Lean 4. ~ Joseph Tooby-Smith. #ITP #LeanProver #Physics #Math
A very early history of algebraic data types. ~ Hillel Wayne. #FunctionalProgramming
The Haskell Unfolder Episode 48: Safe coercions. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

Readings shared September 17, 2025

José A. Alonso — Thu, 18 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 17 September 2025 are:

Formalizing dimensional analysis using the Lean theorem prover. ~ Maxwell P. Bobbin, Colin Jones, John Velkey, Tyler R. Josephson. #ITP #LeanProver
Claude can (sometimes) prove it. ~ Mike Dodds. #ITP #LeanProver #Math #AI #LLMs #Claude
Structuring definitions in mathematical libraries. ~ Alena Gusakov, Peter Nelson, Stephen Watt. #ITP #LeanProver #Math
A blueprint for the formalization of Carleson’s theorem on convergence of Fourier series. ~ Lars Becker et als. #ITP #LeanProver #Math
Formalization of the internal language of a topos. ~ Johannes Folttmann. #ITP #LeanProver #Math
The meta-principle: A tautological foundation for physics. ~ Jonathan Washburn. #ITP #LeanProver #Physics
Łukasiewicz logic with actions for neural networks training. ~ Ioana Leuştean, Bogdan Macovei. #ITP #LeanProver
Towards automated mathematical discovery. ~ Aaron Courville, Navin Goyal. #AI #Math #LLMs #ITP #LeanProver
Sketchpad: A high-precision and easy-to-use system for automatic formal sketch generation. ~ Wenda Li, Luo Mai, Larry Paulson, Huajian Xin. #AI #Math #ITP #IsabelleHOL #LeanProver
Scalable theorem proving via mathematical databases. ~ Christopher Birkbeck, David Roe, Andrew Sutherland. #AI #Math #ITP #LeanProver
Learning to do math with vampires and spiders. ~ Andrei Voronkov, Michael Rawson. #ITP #LeanProver #Rocq
GNN-SMT: A consortium based proof automation for Lean 4. ~ Clark Barrett, Leni Aniva, Abdalrhman Mohamed, Harun Khan. #ITP #LeanProver #SMT
Game over or QED? (For taking the Lean Game Server to the next level). ~ Marcus Zibrowius. #ITP #LeanProver
Domain specific (Documentation for Mathlib). ~ John Talbot, Richard M. Hill. #ITP #LeanProver #Mathlib
Document-level autoformalization. ~ Antoine Bosselut, Viktor Kunčak, Maryna Viazovska. #AI #Math #ITP #LeanProver #Autoformalization
Databases of structured motivated proofs. ~ Timothy Gowers, Anand Rao, Anshula Gandhi, Jacob Loader, Jovan Gerbscheid, Jonas Bayer. #AI #Math #ITP #LeanProver
Constraining LLMs for theorem proving (A neurosymbolic approach to guaranteed autoformalization). ~ Eleonora Giunchiglia, Sam Adam-Day, Joshua Ong, Mihaela Cătălina Stoian, Luca Andolfi. #AI #Math #LLMs #ITP #LeanProver #Autoformalization
Bridging proof and computation (For a verified Lean–Macaulay2 interface). ~ Matthew Ballard, Anton Leykin, Damiano Testa, Michael Stillman. #AI #Math #ITP #LeanProver #CAS #Macaulay2
A structured representation of tactics for machine-assisted theorem proving. ~ Jade Master, Vincent Wang-Maścianica, Zanzi Mihejevs, Bruno Gavranović, Andre Videla, Dylan Braithwaite. #AI #Math #ITP #LeanProver
A dataset of modern formalized theorem statements. ~ Kevin Buzzard. #ITP #LeanProver #Math
An AI-focused tactic for language learning. ~ Robert Y. Lewis. #AI #Math #ITP #LeanProver
Quantum structures and functional programming. ~ Jerzy Karczmarczuk. #Haskell #FunctionalProgramming
Plinth: A plugin-powered language built on Haskell (Experience report). ~ Ziyang Liu, Kenneth MacKenzie, Roman Kireev, Michael Peyton Jones, Philip Wadler, Manuel Chakravarty. #Haskell #FunctionalProgramming

Readings shared June 2, 2025

José A. Alonso — Mon, 02 Jun 2025 04:00:00 GMT

The readings shared in Bluesky on 2 June 2025 are

Regex decision procedures in extended RE#. ~ Ian Erik Varatalu et als. #ITP #LeanProver
Learn physics with functional programming. ~ Esteban Marin. #Haskell #FunctionalProgramming #Physics