Vestigium (Publicaciones sobre Autoformalization)

Readings shared August 3, 2026

José A. Alonso — Mon, 03 Aug 2026 04:00:00 GMT

The readings shared in Mastodon on 3 August 2026 are:

A Lean 4 library for descriptive complexity. ~ Pierre Senellart. #LeanProver #ITP
AI safety formalization Atlas. ~ Mario Brčić et als. #LeanProver #ITP #AI
Formalizing flag algebras in Lean. ~ Gyeongwon Jeong, Seonghun Park, Jihoon Hyun, Sang-il Oum, Hongseok Yang. #LeanProver #ITP #Math
Formally certifying number field invariants. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math
Learned interventions in Lean 4 grind. ~ Evan Wang, Simon Chess, Sophie Szeto, Theodore Meek. #LeanProver #ITP
Metaprogramming in Lean 4. ~ Asei Inoue et als. #LeanProver #ITP
An LLM-based recommendation system for PVS. ~ Nikson Bernardes Fernandes Ferreira, Mariano M. Moscato, Mauricio Ayala-Rincón. #PVS #ITP #LLMs
Show me the money: an exercise in proof-driven software understanding. ~ Joseph Tafese, Karthik Nukala, Hassen Saïdi, Natarajan Shankar, Arie Gurfinkel, Giuliano Losa. #PVS #ITP #Autoformalization
Growing HOLMS: A verified automated prover for Grzegorczyk logic in HOL Light. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi. #HOL_Light #ITP
Why is it all in the kernel? ~ Lawrence Paulson. #ITP #LeanProver #IsabelleHOL #RocqProver
Automating the derivation of unification algorithms (A case study in deductive program synthesis). ~ Richard Waldinger. #DeductiveProgramSynthesis
Pgeon: Generating tableau-based provers from declarative specifications of logical calculi. ~ Romain Sidhoum, Simon Robillard, David Delahaye. #ATP #Logic #Ocaml
From lecture notes to Lean: Formalizing a textbook on probability theory. ~ Shuo Deng, Kenneth W. Shum. #AI4Math #LeanProver #ITP
Machine-checked arithmetic bit complexity of the Kannan-Bachem Smith normal form in Lean 4. ~ Junye Ji. #AI4Math #LeanProver #ITP
Mathematics without mathematicians. ~ Fernando Borretti. #AI4Math
Open math problems claimed to be solved with AI. ~ Robert Joseph. #AI4Math
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). ~ Arnav Mehta. #AI4Math #LeanProver #ITP
Ten advances in mathematics and theoretical computer science. #AI4Math
The Maxwell conjecture is false. ~ Philip Arathoon, Gavin Ball, Matthew D. Kvalheim. #AI4Math
VibeMathed: A website tracking mathematical problems solved by AI models - proved or disproved with a model in the loop. #AI4Math
El correcto uso de los parámetros en un modelo de Inteligencia Artificial. ~ Diego Germán González. #AI
2026 Haskell workshop videos now online. #Haskell #FunctionalProgramming
Existentials on a leash. ~ Colin de Roos. #Haskell #FunctionalProgramming
New falsify release. ~ Edsko de Vries. #Haskell #FunctionalProgramming
Quick tips for fast iteration in Haskell. ~ Tom Ellis, Laurent P. René de Cotret. #Haskell #FunctionalProgramming
Real World Haskell Revived. #Haskell #FunctionalProgramming
Vibe coding reconsidered. ~ Joe Marshall. #CommonLisp #VibeCoding #AI4Coding
#RetoLean4: Enunciado del reto 12 (Si aₙ → L, bₙ → M y L < M, entonces eventualmente aₙ < bₙ). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 11 (Si la sucesión aₙ converge a L, entonces |aₙ| converge a |L|). #LeanProver #ITP #Math
#Retolean4: Vídeo tutorial sobre cómo resolver el reto 11. #LeanProver #ITP #Math

Readings shared June 5, 2026

José A. Alonso — Fri, 05 Jun 2026 04:00:00 GMT

The readings shared in Bluesky on 5 June 2026 are:

A formal proof of the Ramanujan-Nagell theorem in Lean 4. ~ Barinder S. Banwait. #LeanProver #ITP #AI4Math
Certificate-based verification of derivation-graph structural properties in Lean 4/Mathlib. ~ Megan Simons, Jonathan Washburn. #LeanProver #ITP
Formal verification of the S-two AIR. ~ Jeremy Avigad, Anat Ganor, Lior Goldberg, David Levit, Ohad Nir, Yoav Seginer, Alon Titelman. #LeanProver #ITP
From Itô to Black-scholes: A machine-verified derivation in Lean 4. ~ #LeanProver #ITP
Keep the proof state live: snapshotting for efficient tactic search in Lean 4. ~ Austin Shen, Yunong Shi. #LeanProver #ITP
Lean Pool: a repo for preserving substantial sorry-free formalizations that are valuable but do not fit naturally into mathlib’s scope. ~ Vasily Ilin et als. #LeanProver
Positive quasimodular forms and linear programming bounds. ~ Seewoo Lee. #LeanProver #ITP #Math
We can't agree to disagree, formally: Aumann's theorem and assumption accounting in Lean. ~ Ruize Chen, Ben Eltschig, Scott Duke Kominers, Ken Ono, Jujian Zhang. #LeanProver #ITP
Abduction prover in Isabelle/HOL. ~ Yutaka Nagashima, Daniel Sebastian Goc. #IsabelleHOL #ITP
Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP
IsabelleBlueprint: a new project-layer tool for Isabelle/HOL formalizations, inspired by Lean Blueprint but built specifically for Isabelle. ~ Arthur. #IsabelleHOL #ITP
The Busy Beaver function (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP
The Gelfand–Naimark–Segal construction (in Isabelle/HOL). ~ Richard Schmoetten, Jacques D. Fleuriot. #IsabelleHOL #ITP #Math
Modelling and verifying neuronal archetypes in Coq. ~ Abdorrahim Bahrami, Rébecca Zucchini, Elisabetta De Maria, Amy Felty. #CoqProver #ITP
A brief guide to autoformalization in mathematical physics. ~ James Squires. #AI4Math #LeanProver #Autoformalization
A new declaration warns AI could threaten the foundations of mathematics. ~ Gayoung Lee. #AI4Math
Auto formalisation of Goedel's second incompleteness theorem in binary recursive arithmetic. ~ Thierry Coquand. #AI4Math #Agda #ITP #Logic #Math
Frontiers of AI for mathematical research. ~ Carina Hong. #AI4Math #LeanProver #ITP
Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #AI4Math #IsabelleHOL #ITP
Lean-GAP: A dataset of formalized graduate algebra problems. ~ Seewoo Lee et als. #AI4Math #Autoformalization #LeanProver #ITP
Leiden declaration on artificial intelligence and mathematics. #AI4Math
Mathematicians issue Leiden Declaration on AI proof rules. ~ Marcus Schuler. #AI4Math
Mathematicians say 'don't believe hype' on AI capabilities. ~ Andrew Zinin. #AI4Math
Mathematicians warn of AI threats to profession as industry encroaches. ~ Jeremy Hsu. #AI4Math
Proof-Refactor: Refactoring generated formal proofs into modular artifacts. ~ Yiming Fu, Peixuan Liu, Zichen Wang, Kun Yuan. #AI4Math #LeanProver #ITP
Automatic formal verification for code generation. ~ Patrick Hillmann, Boris Hanin. #FormalVerification
Practical uses of monads in Haskell. ~ Antoine Leblanc. #Haskell #FunctionalProgramming
A computational toolkit for engagement and scalable assessment in a large Logic course. ~ Stephen M. Watt. #Logic #RacketLang
#Calculemus: Demostraciones con Lean 4 de "Si a converge a L, entonces (∃ N)(∀ n ≥ N)[aₙ ≥ L - 1]". #LeanProver #Math
#Calculemus: Demostraciones con Lean 4 de "Si aₙ converge a L y bₙ a M, entonces aₙ+bₙ converge a L+M". #LeanProver #Math
#RetoLean4: Demostrar con Lean 4 que existen infinitos números primos. #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L). #LeanProver #ITP #Math

Readings shared April 24, 2026

José A. Alonso — Sat, 25 Apr 2026 04:00:00 GMT

The readings shared in Bluesky on 24 April 2026 are:

Deep Vision: A formal proof of Wolstenholmes theorem in Lean 4. ~ Alexandre Linhares. #LeanProver #ITP #AI4Math
Discover and prove: An open-source agentic framework for hard mode automated theorem proving in Lean 4. ~ Chengwu Liu et als. #LeanProver #ITP #AI4Math
Formalising the Bruhat–Tits tree. ~ Judith Ludwig and Christian Merten. #LeanProver #ITP
Formally verified patent analysis via dependent type theory: Machine-checkable certificates from a hybrid AI + Lean 4 pipeline. ~ George Koomullil. #LeanProver #ITP #AI4Math
Lean: First steps. ~ Tariq Rashid. #LeanProver #ITP #Math
Lecture «Interactions of AI with research math and formalization» at Newton Insitute (Cambridge). ~ Alex Kontorovich. #AI4Math #LeanProver #ITP
Logique propositionnelle (dans Lean). ~ Sebastien Lahaye. #LeanProver #ITP #Logic
Understanding tool-augmented agents for Lean formalization: A factorial analysis. ~ Ke Zhang, Patricio Gallardo, Maziar Raissi, Sudhir Murthy. #LeanProver #ITP #AI4Math
grind best practices. ~ Chris Henson. #LeanProver
Formal primal-dual algorithm analysis. ~ Mohammad Abdulaziz, Thomas Ammer. #IsabelleHOL #ITP
Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #IsabelleHOL #ITP #AI4Math
A Rocq formalization of simplicial Lagrange finite elements. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero, Houda Mouhcine. #RocqProver #ITP #Math
A constructive proof of Rice's theorem and the halting problem via Hilbert's tenth problem. ~ Jonathan Brossard. #RocqProver #ITP #Math
A formal proof of the Sands-Sauer-Woodrow theorem using the Rocq prover and mathcomp/ssreflect. ~ Jean-Philippe Chancelier. #RocqProver #ITP #Math
On reasoning-centric LLM-based automated theorem proving. ~ Yican Sun, Chengwei Shi, Hangzhou Lyu, Yingfei Xiong. #RocqProver #AI4Math
Do LLMs game formalization? Evaluating faithfulness in logical reasoning. ~ Kyuhee Kim, Auguste Poiroux, Antoine Bosselut. #AI4Math #LeanProver #ITP #Autoformalization
The fall of the theorem economy (How AI could destroy mathematics and barely touch it). ~ David Bessis. #AI4Math #LeanProver #ITP
Why not just use Lean?. ~ Lawrence Paulson. #ITP #Nqthm #HOL #CoqProver #IsabelleHOL #LeanProver #AI4Math
The Haskell Unfolder Episode 54: Not quite monads. #Haskell #FunctionalProgramming
Introduction to computational logic. ~ Ryan Kavanagh. #Logic #Math #CompSci
All elementary functions from a single binary operator. ~ Andrzej Odrzywołek. #Math
EML: una función para generarlas a todas. ~ Miguel Ángel Morales. #Math
Matemáticas en la era de la IA: demostraciones rápidas, comprensión lenta. #AI4Math
Reseña de «The fall of the theorem economy (How AI could destroy mathematics and barely touch it)». #AI4Math #LeanProver #ITP

Readings shared April 14, 2026

José A. Alonso — Wed, 15 Apr 2026 04:00:00 GMT

The readings shared in Bluesky on 14 April 2026 are:

A formal proof of the Ramanujan-Nagell theorem in Lean 4. ~ Barinder S. Banwait. #LeanProver #ITP #AI4Math
Formalization of De Giorgi-Nash-Moser theory in Lean. ~Scott Armstrong, Julia Kempe. #LeanProver #ITP #Math
Formalizing building-up constructions of self-dual codes through isotropic lines in Lean. ~ Jae-Hyun Baek, Jon-Lark Kim. #LeanProver #ITP #Math
From painfully explicit to implicit in Lean. ~ Rado Kirov. #LeanProver #ITP #FunctionalProgramming
Kripke And Beth semantics in Lean. ~ Callan McGill. #LeanProver #ITP #Logic
The Lean programming language and theorem prover. ~ Leo de Moura. #LeanProver #ITP #FunctionalProgramming
Using the Lean 4 proof assistant to teach mathematics for engineers. ~ Peter Junglas. #LeanProver #ITP #Math #AI4Math
VeriSoftBench: Repository-scale formal verification benchmarks for Lean. ~ Yutong Xin, Qiaochu Chen, Greg Durrett, Işil Dillig. #LeanProver #AI4Math
Lean 4 (meta)programming cookbook. ~ Anirudh Gupta et als. #LeanProver #ITP #FunctionalProgramming
AI and Isabelle: Experiences and perspectives. ~ Lawrence Paulson. #IsabelleHOL #ITP #AI4Math
Munkres' general topology autoformalized in Isabelle/HOL. ~ Dustin Bryant, Jonathan Julián Huerta y Munive, Cezary Kaliszyk, Josef Urban. #IsabelleHOL #ITP #AI4Math #Autoformalization
CARVe in Rocq: A library for substructural meta-theory. ~ Daniel Zackon et als. #RocqProver #ITP
Lectures on AI for mathematics. ~ Xiaoyang Chen, Xiaoyang Chen. #AI4Math
The AI revolution in math has arrived. ~ Konstantin Kakaes. #AI4Math
The agentic researcher: A practical guide to AI-assisted research in mathematics and machine learning. ~ Max Zimmer, Nico Pelleriti, Christophe Roux, Sebastian Pokutta. #AI4Math
A simple switch makes code differentiable. ~ Dan Piponi (sigfpe). #Haskell #FunctionalProgramming
Howl (Haskell Open Wolfram Language interpreter); an implementation of a microscopic subset of the Wolfram Language (which powers Mathematica), in Haskell. ~ David Simmons-Duffin. #Haskell #FunctionalProgramming
Type-level programming is still programming. ~ Michael Chavinda. #Haskell #FunctionalProgramming
Education for logical thinking in the age of AI. ~ Robert Kowalski. #Logic #LogicProgramming
Demostraciones con Lean 4 de "La sucesión aₙ = 1/n converge a 0". #LeanProver #Math
Reseña de «AI and Isabelle: Experiences and perspectives». #AI4Math #IsabelleHOL #ITP
Reseña de «Education for logical thinking in the age of AI». #Logic #LogicProgramming #Prolog
Reseña de «Lectures on AI for mathematics». #AI4Math
Reseña de «The AI revolution in math has arrived». #AI4Math
Reseña de «The agentic researcher: A practical guide to AI-assisted research in mathematics and machine learning». #AI4Math
Reseña de «Munkres' general topology autoformalized in Isabelle/HOL». #IsabelleHOL #ITP #AI4Math

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 24, 2026

José A. Alonso — Wed, 25 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 24 March 2026 are:

Synthetic differential geometry in Lean. ~ Riccardo Brasca, Gabriella Clemente. #LeanProver #ITP #Math
The spectral comb and the Riemann hypothesis: A proof via fixed-point theory. ~ Engin Atik. #LeanProver #ITP #Math
Formalizing the classical isoperimetric inequality in the two-dimensional case. ~ Miraj Samarakkody. #LeanProver #ITP #Math
Semi-autonomous formalization of the Vlasov-Maxwell-Landau equilibrium. ~ Vasily Ilin. #LeanProver #ITP
Rado's radical reflections. ~ Rado Kirov. #LeanProver #ITP #FunctionalProgramming
OpenGauss: an open source, state of the art autoformalization harness. #AI4Math #LeanProver #ITP #Autoformalization
Verso: a platform for writing documents, books, course materials, and websites with Lean. #LeanProver
Lebesgue-Stieltjes integral (in Isabelle/HOL). ~ Yosuke Ito. #IsabelleHOL #ITP #Math
Sorted rewriting, conditional rewriting, and logically constrained rewriting (in Isabelle/HOL). ~ Akihisa Yamada. #IsabelleHOL #ITP
A formal embedding for assessing the complexity of model consistency. ~ Romain Pascual et als. #IsabelleHOL #ITP
Liberator: A drag-and-drop visual programming environment for Haskell. ~ Miles Berry. #Haskell #FunctionalProgramming

Readings shared January 14, 2026

José A. Alonso — Thu, 15 Jan 2026 04:00:00 GMT

The readings shared in Bluesky on 14 January 2026 are:

A lambda-superposition tactic for Isabelle/HOL. ~ Massin Guerdi. #ITP #IsabelleHOL
Adding sorts to an Isabelle formalization of superposition. ~ Balazs Toth, Martin Desharnais-Schäfer, Jasmin Blanchette. #ITP #IsabelleHOL
Functional programming and theorem proving in Lean 4. ~ Leni Aniva, Abdalrhman Mohamed. #LeanProver #FunctionalProgramming #ITP
Cylindrical algebraic decomposition in Coq/Rocq. ~ Quentin Vermande. #ITP #RocqProver
Computing solutions for systems of multivariate ordinary differential equations in Rocq. ~ Holger Thies- #ITP #RocqProver
Computation-tree semantics: An algorithmic approach to structurally defined relations. ~ Sean Kristian Remond Harbo, Hans Hüttel. #ITP #RocqProver
Formal verification for JavaScript regular expressions: A proven mechanized semantics and its applications. ~ Aurèle Barrière, Victor Deng, Clément Pit-Claudel. #ITP #RocqProver
130k lines of formal topology in two weeks: Simple and cheap autoformalization for everyone? ~ Josef Urban. #ITP #Mizar #LLMs #Math #Autoformalization
Using AI, mathematicians find hidden glitches in fluid equations. ~ Charlie Wood. #AI #Math
#Exercitium: Números naturales separados por ceros. #Haskell #FunctionalProgramming #Math

Readings shared December 5, 2025

José A. Alonso — Sat, 06 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 5 December 2025 are:

Formalization of Erdős problems. ~ Boris Alexeev. #ITP #LeanProver #Math #Autoformalization
A Rocq formalization of monomial and graded orders. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero. #ITP #Rocq #Math
Certified G2 manifold construction. ~ Brieuc de La Fournière. #ITP #LeanProver
Automated reasoning for uncertain Markov processes. ~ Muhammad Maaz. #ATP #SMT #Z3
Haskell is a great language for data science. ~ Jonathan Carroll. #Haskell #FunctionalProgramming #DataScience #Rstats
Reseña de «Formalization of Erdős problems». #ITP #LeanProver #Math #Autoformalization
#Exercitium: Normalización de expresiones aritméticas. #Haskell #ProgramaciónFuncional #Matemáticas

Reseña de «Formalization of Erdős problems»

José A. Alonso — Fri, 05 Dec 2025 15:00:00 GMT

El artículo «Formalization of Erdős problems» destaca el auge en la resolución de problemas de Paul Erdős gracias a la web erdosproblems.com y el proyecto Formal Conjectures. De más de 1100 problemas recopilados, el 40% ya están resueltos y unos 240 tienen sus enunciados formalizados en Lean. Esta infraestructura comunitaria y el uso de bases de datos han acelerado notablemente el progreso matemático.

La gran revolución descrita es el uso de IA para formalizar y resolver estos retos. Herramientas como Aristotle ya no solo asisten, sino que traducen demostraciones de lenguaje natural a código Lean automáticamente. Incluso han logrado hitos históricos al resolver problemas abiertos (como el problema 124) de forma totalmente autónoma, generando nuevas matemáticas verificadas sin ayuda humana.

Finalmente, el autor advierte sobre la "malformalización": errores sutiles al traducir enunciados a código, desde bugs técnicos hasta la omisión de hipótesis necesarias. A pesar de estos desafíos, concluye que el ritmo de avance es vertiginoso y que la comunidad de Erdős está sirviendo como modelo pionero para integrar la IA en la investigación matemática formal.

Readings shared November 18, 2025

José A. Alonso — Wed, 19 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 18 November 2025 are:

Teaching real analysis as a game. ~ Alex Kontorovich. #ITP #LeanProver #Math
Are automated proof assistants ready for semigroup research? Orientation-preserving mappings and proof assistant Lean. ~ Alastair Litterick, Alexei Vernitski, Billy Woods. #ITP #LeanProver #Math
Lispy sets in CHICKEN Scheme. ~ Peter Bex.f#page=36 #Scheme #FunctionalProgramming
Evaluating autoformalization robustness via semantically similar paraphrasing. ~ Hayden Moore, Asfahan Shah. #AI #Math #Autoformalization #ITP #LeanProver
«Paged Out!»: una revista en PDF sobre programación, donde con un artículo por página sobra. ~ @Alvy #Programming
Universidad e Inteligencia Artificial: realidad, retos y expectativas de la aplicación de la IA en las universidades españolas. ~ Teodoro Luque, Lucia Porcu, Isamel García Varea y Iñaki Fuertes Tudanca. #IA #Universidad
#Exercitium: Evaluación de árboles de expresiones aritméticas. #Haskell #ProgramaciónFuncional #Matemáticas