Vestigium (Publicaciones sobre Mathlib)

Readings shared October 8, 2025

José A. Alonso — Thu, 09 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 8 October 2025 are:

Growing Mathlib: Maintenance of a large scale mathematical library. ~ Anne Baanen, Matthew Robert Ballard, Johan Commelin, Bryan Gin-ge Chen, Michael Rothgang, Damiano Testa. #ITP #LeanProver #Mathlib #Math
#Exercitium: Cadenas de ceros y unos. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared October 03, 2025

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

The readings shared in Bluesky on 03 October 2025 are:

Kevin Buzzard and Alex Kontorovich on the future of formal mathematics: A Mathlib initiative interview. ~ Oliver Nash. #ITP #LeanProver #Mathlib #Math
The Mathlib initiative (Building the digital foundation of mathematics). #ITP #LeanProver #Mathlib #Math
Mathematics in the age of automated proofs: What do we tell our students about AI? ~ Akshay Venkatesh. #Math #AI
Mathematics in the age of automated proofs: AlphaProof (From the lab into your hands). ~ Thomas Hubert. #AI #Math #ITP #LeanProver #AlphaProof
Mathematics in the age of automated proofs: After Math (historical perspectives on automated intelligence). ~ Stephanie Dick. #AI #Math #ATP
#Exercitium: Inserción en árboles binarios de búsqueda. #Haskell #ProgramaciónFuncional #Matemáticas

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 September 1, 2025

José A. Alonso — Tue, 02 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 1 September 2025 are

Growing Mathlib: maintenance of a large scale mathematical library. ~ Anne Baanen et als. #ITP #LeanProver #Mathlib
Starting out with graph algorithms: Basic DFS. ~ James Bowen. #Haskell #FunctionalProgramming #RustLang
Alpha-beta pruning is just minimax in a lattice of clamping functions. ~ Li-yao Xia. #Haskell #FunctionalProgramming
#Exercitium: Buscaminas. #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Mayor sucesión del problema 3n+1. #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Filtro booleano. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared July 18, 2025

José A. Alonso — Sat, 19 Jul 2025 04:00:00 GMT

The readings shared in Bluesky on 18 July 2025 are

Formalization of derived categories in Lean/Mathlib. ~ Joël Riou. #ITP #LeanProver #Math
A formalised approach to the composition of processes over linear resources. ~ Filip Smola. #ITP #IsabelleHOL
Gödel's incompleteness theorems (in Isabelle/HOL). ~ Lawrence C. Paulson, with Janis Bailitis. #ITP #IsabelleHOL #Logic #Math
Robust dynamic embedding for gradual typing. ~ Koen Jacobs et als. #ITP #Rocq
Lean meets theoretical computer science: Scalable synthesis of theorem proving challenges in formal-informal pairs. ~ Terry Jingchen Zhang et als. #LLMs #ITP #LeanProver
LeanTree: Accelerating white-box proof search with factorized states in Lean 4. ~ Matěj Kripner, Michal Sustr, Milan Straka. #LLMs #ITP #LeanProver
Prover Agent: An agent-based framework for formal mathematical proofs. ~ Kaito Baba et als. #LLMs #ITP #LeanProver
Scaling mathematical reasoning through data, tools, and generative selection. ~ Ivan Moshkov et als. #LLMs #ITP #LeanProver #Math
ProofWala: Multilingual proof data synthesis and theorem-proving. ~ Amitayush Thakur et als. #ITP #LeanProver #CoqProver
CLEVER: A curated benchmark for formally verified code generation. ~ Amitayush Thakur et als. #LLMs #ITP #LeanProver
Lean Finder: Semantic search for Mathlib that understands user intents. ~ Jialin Lu et als. #ITP #LeanProver #Mathlib
VeriBench: End-to-end formal verification benchmark for AI code generation in Lean 4. ~ Brando Miranda et als. #LLMs #ITP #LeanProver
The Open Proof Corpus: A large-scale study of LLM-generated mathematical proofs. ~ Jasper Dekoninck et als. #LLMs #Math #Reasoning
Proof or bluff? Evaluating LLMs on 2025 USA Math Olympiad. ~ Ivo Petrov et als. #LLMs #Math #Reasoning
RealMath: A continuous benchmark for evaluating language models on research-level mathematics. ~ Jie Zhang et als. #LLMs #Math #Reasoning
The calculated typer (Functional Pearl). ~ Zac Garby, Patrick Bahr, Graham Hutton. #Haskell #FunctionalProgramming
#Exercitium: Problemas de programación con Haskell de junio de 2020. #Haskell #FunctionalProgramming
#Exercitium: Problemas de programación con Haskell de mayo de 2020. #Haskell #FunctionalProgramming #Math

Readings shared May 10, 2025

José A. Alonso — Sat, 10 May 2025 04:00:00 GMT

The readings shared in Bluesky on 10 May 2025 are

A tool to verify estimates, II: a flexible proof assistant. ~Terence Tao. #ITP #Python #Math
How to (actually) prove it - New frontiers of mathematics & computing in Lean. ~ Kiran. #ITP #LeanProver #Math
LeanExplore: a new Mathlib search engine that combines semantic search embeddings, AI-generated translations, and PageRank to give optimized search results. #ITP #LeanProver #Mathlib
How do undergraduates do mathematics? (A guide to studying mathematics at Oxford University). #Math

Readings shared April 2, 2025

José A. Alonso — Wed, 02 Apr 2025 04:00:00 GMT

The readings shared in Bluesky on 2 April 2025 are

Basic probability in Mathlib. ~ Rémy Degenne. #ITP #LeanProver #Mathlib #Math
GOL in GOL in HOL: Verified circuits in Conway's game of life. ~ Magnus O. Myreen, Mario Carneiro. #ITP #HOL4
Unfolding trees breadth-first in Haskell. ~ Li-yao Xia. #Haskell #FunctionalProgramming
Faking ADTs and GADTs in languages that shouldn't have them. ~ Justin Lê. #Haskell #FunctionalProgramming
Proof or bluff? Evaluating LLMs on 2025 USA math olympiad. ~ Ivo Petrov et als. #LLMs #Math
TAUT2 (Here you will find various types of randomly-generated, self-correcting logic excercises). #Logic
Logica (Tools for thought). #Logic
Curso de programación lógica. ~ Ana Pradera. #Lógica #ProgramaciónLógica #Prolog
Enseñanza del sistema de deducción natural en lógica proposicional aplicando programación lógica. ~ Joaquín Arias, Iván Ramírez. #Lógica #ProgramaciónLógica #Prolog
Apuntes de lógica: desde Aristóteles hasta Prolog. ~ Joaquín Arias. #Lógica #ProgramaciónLógica #Prolog
#Exercitium: Mayor producto de las ramas de un árbol. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "⋂_i, (A(i) ∩ B(i)) = (⋂_i, A(i)) ∩ (⋂_i, B(i))". #LeanProver #IsabelleHOL #Math #Calculemus
Curso: Demostración asistida por ordenador (2010-11). #ITP #IsabelleHOL #Lógica

Readings shared February 5, 2025

José A. Alonso — Wed, 05 Feb 2025 04:00:00 GMT

The readings shared in Bluesky on 5 February 2025 are

On the cofinality property in the context of the hierarchy of decreasing Church-Rosser abstract rewriting systems. ~ Ievgen Ivanov. #ITP #IsabelleHOL
A semantic search engine for Mathlib4. ~ Guoxiong Gao, Haocheng Ju, Jiedong Jiang, Zihan Qin, Bin Dong. #ITP #LeanProver #Mathlib
Goedel-Prover: A new frontier in automated theorem proving. ~ Yong Lin et als. #LLMs #ITP #LeanProver
New proofs probe the limits of mathematical truth. ~ Joseph Howlett. #Math

Readings shared September 21, 2024

José A. Alonso — Sat, 21 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 21, 2024 are

Readings shared September 20, 2024. #ITP #Lean4 #IsabelleHOL #Math #Calculemus #ATP #Prover9 #Mace4
Course: Theorem proving with Lean. ~ Damiano Testa. #ITP #LeanProver #Math
Finding lemmas in Mathlib. ~ Damiano Testa. #ITP #LeanProver #Mathlib
Course: Repository for the Lean master program in Lyon for 2024-25. ~ Filippo A. E. Nuccio et als. #ITP #LeanProver #Math
Weekly-Lean: The Lean weekly challenge. ~ Kyle Thompson, Saketh Kasibatla & Nico Lehmann. #ITP #LeanProver
Mini-curso de Lean. ~ Luis Turcio. #ITP #LeanProver #Logic #Math
Lean - Tácticas y proposiciones. ~ Luis Turcio. #ITP #LeanProver
Lean - Proposiciones y primer orden. ~ Luis Turcio. #ITP #LeanProver #Logic
Lean - Conjuntos 1. ~ Luis Turcio. #ITP #LeanProver #Logic #Math
Lean - Funciones. ~ Luis Turcio. #ITP #LeanProver #Logic #Math
Topología general en Lean3. ~ Miguel Marco. #ITP #LeanProver #Lean3 #Math
Juego LEAN de topología general. ~ Miguel Marco. #ITP #LeanProver #Lean4 #Math
Stone duality in Lean. ~ Dagur Ásgeirsson, Sam van Gool, Tomáš Jakl & Filippo A.E. Nuccio. #ITP #LeanProver #Lean4 #Math
Probabilistic unifying relations for modelling epistemic and aleatoric uncertainty: semantics and automated reasoning with theorem proving. ~ Kangfeng Ye, Jim Woodcock & Simon Foster. #ITP #IsabelleHOL
No generalization without understanding and explanation (Why AI needs symbolic and logical reasoning). ~ Walid Saba. #AI #LLMs #DeepLearning #Logic
Qwen2.5-Math: The world's leading open-sourced mathematical LLMs. #LLMs #Math
Qwen2.5-Coder Technical Report. ~ Binyuan Hui et als. #LLMs #Programming

Lecturas compartidas el 1 de agosto de 2024

José A. Alonso — Fri, 02 Aug 2024 04:00:00 GMT

Las lecturas compartidas en Mastodon el 1 de agosto de 2024 son

Lecturas compartidas el 31 de julio de 2024. #ITP #Lean4 #IsabelleHOL #Logic #Math #LLMs #ATP #Reasoning
Continuous functions — formalized in Lean4. ~ Dominic Plein & Felix Lentze. #ITP #Lean4 #Math
Continuous functions — formalized in Lean4 (code and a LaTeX document). ~ Dominic Plein & Felix Lentze. #ITP #Lean4 #Math
LeanSearch: Find theorems in Mathlib4 using natural language query. #ITP #Lean4 #Mathlib
Search Mathlib: A webpage that searches for Mathlib theorems. ~ Deming Xu. #ITP #Lean4 #Mathlib
Set Theory Game (An introduction to mathematical proof). ~ Daniel J. Velleman./#/g/djvelleman/stg4 #ITP #Lean4 #Math
Lean Game Server (A repository of learning games for the proof assistant Lean (Lean 4) and its mathematical library Mathlib). #ITP #Lean4 #Math
A verified foreign function interface between Coq and C. ~ Joomy Korkut, Kathrin Stark, Andrew W. Appel. #ITP #Coq
The Haskell Unfolder Episode 30: runST. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming