Vestigium (Publicaciones sobre AI)

Readings shared September 21, 2026

José A. Alonso — Mon, 21 Sep 2026 04:00:00 GMT

The readings shared in Mastodon on 21 September 2026 are:

A machine-checked proof of the Dong-Yang classification of optimal (n,4) binary codes for BSCs. ~ Shenghao Yang, Yanyan Dong. #LeanProver #ITP #AI4Math
Descriptive complexity in Lean: completeness by first-order reductions. ~ Pierre Senellart, Anton Gnatenko. #LeanProver #ITP #AI4Math
Formalization of Sullivan's no wandering domains theorem in Lean. ~ Ziang Li, Yusheng Luo. #LeanProver #ITP #AI4Math
Henstock-Kurzweil gauge integral in the non–gaussian regime: a machine-verified construction. ~ Yuri N. Berdinsky. #LeanProver #ITP
Lean metaprogramming etudes: execution is elaboration. ~ Philip Zucker. #LeanProver #ITP #FunctionalProgramming
Lean-certified infinite counterexamples to written on the Wall II Conjecture 194. ~ Cameron Beeley. #LeanProver #ITP #AI4Math
Mechanizing Gödel's incompleteness theorems and provability logic. ~ Shogo Saitou, Mashu Noguchi. #LeanProver #ITP #AI4Math
Palindromic length in free groups: reflections, noncrossing matchings, and Catalan. ~ Junjie Liao. #LeanProver #ITP
Fast chinese remaindering via product trees (in Isabelle/HOL). ~ Manuel Eberl. #IsabelleHOL #ITP
Greibach’s hardest context-free language (in Isabelle/HOL). ~ Tobias Nipkow. #IsabelleHOL #ITP
Napoleon's theorem (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
Strong normalization for Church-style system F (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP
Structuring mathematics in dependent type theory. ~ Cyril Cohen. #RocqProver #ITP #Math
A CERN for AI-assisted science? ~ Dimitris Koukoulopoulos. #AI4Math
A beginning for mathematics. ~ Daniel Litt. #AI4Math
AI and human approaches to mathematical problem solving. ~ Yang Ding. #AI4Math
Awesome AI proofs (A curated list of mathematical proofs generated by artificial intelligent systems, verified by automated theorem prover, and a list of successes and mishaps). ~ Subhrajyoty Roy, Subrata Pal. #AI4Math
Building open models for the mathematical community (An invitation from SAIR Foundation). #AI4Math
Existential risk from AI: an exposition for mathematicians. ~ Xiaoyu He. #AI4Math
Fast math/slow math. ~ Benjamin Antieau. #AI4Math
Happy, those able to know the causes of things (An essay on LLMs and the Navier-Stokes equation). ~ Nestor Guillen. #AI4Math
SOLVED: Navier-Stokes cracked by AI. | Numberphile ~ Tony Padilla. #AI4Math
Stable singularity of the Euler equations on ℝ³. ~ Adarsh Ganeshram, Valentin Duruisseaux, Anima Anandkumar. #AI4Math #LeanProver #ITP
Two responses to "A severe misalignment of AI in mathematics". ~ Timothy Nguyen, M. Levent Doğan. #AI4Math
When inventing is not enough. ~ Lisa Valentini. #AI4Math
Where will all the papers go? ~ David Craven. #AI4Math
Why I didn’t sign the Fields medallists’ letter. ~ Tim Gowers. #AI4Math
Search over algebraic graphs. ~ David Anekstein. #Haskell #FunctionalProgramming
gptel: Emacs y la IA. ~ Notxor. #Emacs #AI
#Calculemus: Demostraciones con Lean 4 del Reto 10 (Si aₙ → L con L ≠ 0, entonces |aₙ| ≥ |L|/2 eventualmente). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 11 (Si aₙ converge a L, entonces |aₙ| converge a |L|). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 12 (Si aₙ → L, bₙ → M y L < M, entonces eventualmente aₙ < bₙ). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 6 (teorema del emparedado). #LeanProver #Math
#Calculemus: Demostraciones con Lean 4 del Reto 7 (La composición de funciones inyectivas es inyectiva). #LeanProver #Math
#Calculemus: Demostraciones con Lean 4 del Reto 8 (Sucesiones con infinitos términos grandes no convergen a límites pequeños). #Math
#Calculemus: Demostraciones con Lean 4 del Reto 9 (Unicidad del límite). #LeanProver #ITP #Math
#RetoLean4: Enunciado del reto 19 (Las sucesiones convergentes son de Cauchy). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 18 (Convergencia del producto de sucesiones convergentes). #LeanProver #ITP #Math

Readings shared September 14, 2026

José A. Alonso — Mon, 14 Sep 2026 04:00:00 GMT

The readings shared in Mastodon on 14 September 2026 are:

A Lean 4 formalization of Scott's continuous lattices (1972). ~ Lars Warren Ericson. #LeanProver #ITP #AI4Math
A counterexample to a problem of Pommerenke on convex functions in the class Σ. ~ Yuankai Guo, Xiaozhe Hu. #LeanProver #ITP #Math
A four-valued graph model for conflict resolution: core framework and a machine-checked formalization in Lean 4. ~ Yukiko Kato. #LeanProver#ITP #Math
A kernel-checked proof of Fuglede's conjecture for the cyclic group Z/180Z. ~ Javier Emilio Bazán Sánchez. #LeanProver #ITP #Math
Lean 4 formalization of the Gurvich-Naumova ternary partition theorem. ~ JD Jones. #LeanProver #ITP #AI4Math
Lean4 formalization of s-numbers (in the sense of Pietsch) and important inequalities. ~ Mario Ullrich. #LeanProver #ITP #AI4Math
Navier-Stokes and Lean. ~ Lance Fortnow. #LeanProver #AI4Math
SparseStack is an optimal oblivious subspace embedding. ~ Diar Heidary. #LeanProver #ITP #AI4Math
Statistical theory in the age of machine-assisted mathematics: rethinking how theory is made and taught. ~ Pietro Coretto. #LeanProver #ITP #Math
Steering aesop for theorem proving: learning to configure symbolic solvers via multi-source neurosymbolic feedback. ~ Kai-Yuan Jeng, Ru-Jun Wang, Wen-Tsuen Chen. #LeanProver #ITP #AI4Math
The Kolmogorov–Arnold representation theorem (in Lean 4). ~ George A. Constantinides. #LeanProver #ITP #Math
Two boundary-certificate proofs of the Crouzeix theorem: fiberwise Fourier recurrence and defect-Gram telescoping. ~ Qinyu Luo. #LeanProver #ITP #AI4Math
Monadic second-order logic in HOL: deep and shallow with automated faithfulness. ~ Christoph Benzmueller, Daniel Kirchner. #IsabelleHOL #ITP #Logic
The Földes–Hammer characterization of split graphs (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
The five platonic solids (in Isabelle/HOL). ~ Evan Finken. #IsabelleHOL #ITP #Math
(Auto)formalization, but why? ~ Seewoo Lee. #AI4Math #LeanProver #ITP
A 50-year-old computer-assisted proof. ~ John D. Cook. #AI4Math
AI has solved one of math’s $1 million Millennium Prize Problems. ~ Konstantin Kakaes. #AI4Math
AI may have just solved a million-dollar math problem. The field will never be the same. ~ Joseph Howlett. #AI4Math
AI software completes a formal proof of Fermat’s Last Theorem. ~ David H Bailey. #AI4Math
AutoGraphForge: Towards automated graph theory discovery. ~ Ján Pastorek. #AI4Math #LeanProver #ITP
Clay Institute won't call Navier-Stokes solved after OpenAI proof claim. ~ Marcus Schuler. #AI4Math
On the Navier–Stokes Millennium Prize Problem. ~ OpenAI. #AI4Math
On the existence of non-sofic groups. ~ Andreas Thom. #AI4Math
On the impact of AI on the mathematical practice. ~ Manuel Rivera. #AI4Math
The Association for Human Mathematics (AHM). ~ AHM communications group. #AI4Math
What Lean checked and Astra didn't: two kinds of verification, one week apart. ~ Scott J. McCormick. #AI4Math
What is mathematics now, and what should it be? ~ Jeremy Avigad. #AI4Math
What’s not new. ~ Orr Shalit. #AI4Math
How to welcome LLM use into student research mentorship. ~ Joshua Siktar. #AI
El teorema de Goldbach-Euler. ~ Miguel Ángel Morales. #Math

Readings shared August 10, 2026

José A. Alonso — Mon, 10 Aug 2026 04:00:00 GMT

The readings shared in Mastodon on 10 August 2026 are:

A formalization of the mean-field derivation of the Vlasov equation (Mathematician in the loop: AI-assisted Lean formalization as a strategy game). ~ Joseph K. Miller. #LeanProver #ITP #AI4Math
Certified program synthesis with a multi-modal verifier. ~ Yueyang Feng et als. #LeanProver #FormalVerification
Every quasiperfect number has at least eight distinct prime factors. ~ Akira Toyohara, Ye Tao, Siqiong Yao. #LeanProver #ITP #AI4Math
Fitting’s theorem and semirings of normal subgroups. ~ Damiano Testa. #LeanProver #ITP #AI4Math
Formally certifying number field invariants. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math
Game hopping in Lean. ~ Stefan Dziembowski, Grzegorz Fabiański, Daniele Micciancio, Rafał Stefański. #LeanProver #ITP
Lean refactor: Multi-objective controllable proof optimization via agentic strategy search. ~ Jialin Lu, Soonho Kong, Rodrigo Stehling, Kaiyu Yang, Zhangyang Wang. #LeanProver #ITP #AI4Math
Lean4Lean: Verifying a typechecker for Lean, in Lean. ~ Mario Carneiro. #LeanProver #ITP
LeanCSP: A framework for certifying constraint reformulation and solving in Lean. ~ Pablo Manrique, Stefan Szeider. #LeanProver #ITP
MechGeo: Autoformalizing and proving euclidean geometry in Lean 4. ~ Hao Shen, Junyu Guo, Tian Cui, Yuxuan Xiao, Lihong Zhi. #AI4Math #LeanProver #ITP
Postmortem for kernel soundness bug #14576. ~ Leonardo de Moura. #LeanProver #ITP
The Lean theorem prover: design, evolution, and impact. ~ Leo de Moura. #LeanProver #ITP
Topological semantics for scoped computational paths. ~ Arthur Freitas Ramos, Ruy J. G. B. de Queiroz, Anjolina Grisi de Oliveira, Tiago M. L. de Veras. #LeanProver #ITP #Math
Un error en el núcleo de Lean aprovechado por una IA para refutar la conjetura de Collatz. ~ Francisco R. Villatoro. #LeanProver #ITP #Math
Verifying Verus: A Lean 4 formalization of the SST-to-AIR expression translation. ~ Shuge Rong. #LeanProver #ITP
A deep embedding of HOL in HOL: soundness, completeness, consistency. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP
A formal counterexample to the cost-preserving single-source unsplittable flow conjecture (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP
Completeness of the Q₀ higher-order logic (in Isabelle/HOL). ~ Asta Halkjær From, Jonathan Julian Huerta Munive, Anders Schlichtkrull. #IsabelleHOL #ITP #Logic
Isabelle: the last 40 years (and the next). ~ Lawrence Paulson. #IsabelleHOL #ITP
The Wallace-Simson line theorem in Isabelle/HOL. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
Verifying and generalizing simultaneous critical pairs. ~ René Thiemann. #IsabelleHOL #ITP #Math
0/1-Polytopes with exponentially small edge expansion. ~ Xiongxin Yang. #AI4Math
A bijective proof of a partition theorem of Berkovich and Uncu. ~ Michal Mogielnicki, Ken Ono, Niels Voss, Jujian Zhang. #AI4Math #LeanProver #ITP
Completeness of the model space does not force regularity for infinite-dimensional Lie groups. ~ Zongjian Han1, Fungo Liu. #AI4Math
How we solved PutnamBench (A look at formally proving undergraduate competition mathematics). #AI4Math #IsabelleHOL
Mathematical scientific discovery using large language models: a systematic literature review. ~ Vinita Gangaram Jansari et als. #AI4Math
Mathematicians address artificial intelligence. ~ David H Bailey. #AI4Math
Mathematicians are grappling with the possibility that AI might eclipse them. ~ Kai Williams. #AI4Math
Polynomial-time MIMO detection at the maximum-likelihood threshold. ~ Dimitris Papailiopoulos. #AI4Math
PutnamBench Leaderboard (Benchmarking formal mathematical reasoning on the Putnam Mathematical Competition). #AI4Math #LeanProver #IsabelleHOL #Coq
PutnamBench: A Multilingual competition-mathematics benchmark for formal theorem-proving. ~ George Tsoukalas et als. #AI4Math
Why the legendary Erdős problems are falling to AI. ~ Konstantin Kakaes. #AI4Math
Twenty years of Pandoc. #Haskell #FunctionalProgramming
Independent analysis of AI (Understand the AI landscape to choose the best model and provider for your use case). #AI
La lista de los más listos de la clase: el análisis de la «inteligencia» de las IA (y sus precios) en una sola página. ~ @Alvy. #AI
#RetoLean4: Enunciado del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|). #LeanProver #ITP #Math
#RetoLean4: Enunciado del reto 14 (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 12 (Si aₙ → L, bₙ → M y L < M, entonces eventualmente aₙ < bₙ). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|). #LeanProver #ITP #Math
#Retolean4: Vídeo tutorial sobre cómo resolver el reto 12. #LeanProver #ITP #Math
#Retolean4: Vídeo tutorial sobre cómo resolver el reto 13. #LeanProver #ITP #Math

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 July 27, 2026

José A. Alonso — Mon, 27 Jul 2026 04:00:00 GMT

The readings shared in Mastodon on 27 July 2026 are:

A Lean tactic for normalizing expressions in an algebra over a ring. ~ Arend Mellendijk. #LeanProver #ITP
An end-to-end verification of Keller’s conjecture. ~ James Gallicchio, Cayden Codel, Jeremy Avigad, Marijn J. H. Heule. #LeanProver #ITP #Math
Cofinite zeros of high derivatives. ~ Eric Hou. #LeanProver #ITP #Math
Formalizing the Bruck–Ryser–Chowla theorem: Combinatorial design theory in Lean. ~ Eric Jonathan Wang, Elif Uskuplu. #LeanProver #ITP
Formalizing the Wu-Ritt characteristic set method in Lean 4. ~ Yuxuan Xiao, Hao Shen, Junyu Guo, Dingkang Wang, Lihong Zhi. #LeanProver #ITP #Math
From Dag-Like proofs to boolean circuits in Lean. ~ Lorenzo Saraiva, Edward Hermann Haeusler. #LeanProver #ITP
grind: An SMT-inspired tactic for Lean 4. ~ Kim Morrison, Leonardo de Moura. #LeanProver #ITP
Formal verification of an explicit counterexample to the jacobian conjecture. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
On the formal verification of polynomial commitments: two KZG constructions and the algebraic group model. ~ Tobias Rothmann. #IsabelleHOL #ITP
Formalising standard deontic logic and dyadic deontic logic in Rocq. ~ Sophie Krijgsman. #RocqProver #ITP #Logic
Dependent types for compiler calculation. ~ Mitchell Pickard. #Agda #ITP
Topology in synthetic domain theory and its formalisation in Agda. ~ Runze Xue. #Agda #ITP #Math
An audited human-AI loop for trustworthy Lean formalization: axiom-budget auditing, a goal-directed state report, and a conditional general-relativity case study. ~ Paweł Kapłański. #AI4Math #LeanProver #ITP
Case study: proving sqrt(2) irrational with LPTP and an LLM. ~ Fred Mesnard, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog
Case study: solving P-99 with LPTP and an LLM. ~ Fred Mesnard, Thierry Marianne, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog
Encontrado un contraejemplo de la conjetura jacobiana con Claude Fable 5. ~ Miguel Ángel Morales. #AI4Math
Human mathematicians are being outcounterexampled. ~ Kevin Buzzard. #AI4Math
Interview: Terence Tao on AI. #AI4Math
LeanFlow: A case study in workflow-driven Lean autoformalization. ~ Lazar Milikic, Simon Guilloud, Khanh Nguyen, Viktor Kuncak. #AI4Math #LeanProver #ITP
Mathematical discovery in the wild: AI-guided proofs in Banach space theory. ~ Antonio Acuaviva, Pablo Acuaviva. #AI4Math
Mathematics in the age of AI. ~ Terence Tao. #AI4Math
On some problems from the Kourovka notebook. ~ Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison. #AI4Math #LeanProver #ITP #Aristotle
Should we trust AI-generated formal proofs in Lean 4? ~ MathOverflow. #AI4Math
Tau Ceti: a repository of formal mathematics, directed by human-written roadmaps, implemented and maintained by AI contributors, subject to adversarial review. ~ Kim Morrison et als. #AI4Math #LeanProver #ITP
Terence Tao on AI in mathematics (and beyond). #AI4Math
How to read mathematics? (A study guide). ~ Petra Schwer. #Math
Open weights and american AI leadership. #AI

Readings shared May 14, 2026

José A. Alonso — Fri, 15 May 2026 04:00:00 GMT

The readings shared in Bluesky on 14 May 2026 are:

An Arrow-theoretic impossibility theorem for the ordinal MVP aggregation problem. ~ Arjun Trivedi. #LeanProver #ITP
Formal conjectures: An open and evolving benchmark for verified discovery in mathematics. ~ Moritz Firsching et als. #AI4Math #LeanProver
Formalizing the prime-field Singer construction and Sidon set infrastructure in Lean 4. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math
LeanSearch v2: Global premise retrieval for Lean 4 theorem proving. ~ Guoxiong Gao et als. #AI4Math #LeanProver
New mathematical workflows. ~ Terence Tao. #AI4Math
Alon’s Combinatorial Nullstellensatz (in Isabelle/HOL). ~ Arthur Freitas Ramos, Ruy Jose Guerra Barretto de Queiroz, David Barros Hulak. #IsabelleHOL #ITP #Math
Generalization of Church-Rosser strategies for confluent abstract rewriting systems of the smallest uncountable cardinality. ~ Ievgen Ivanov. #IsabelleHOL #ITP
The Mostowski collapse theorem (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
Verified tableaux: from modal logics to modal fixpoint logics. #CoqProver #ITP #Logic
Sweep: SWI-Prolog embedded in Emacs. #Prolog #LogicProgramming #Emacs
Automated conjecturing in mathematics with TxGraffiti. ~ Randy Davila. #AI4Math
Three cultures of math. ~ Rado Kirov. #Math #AI #AI4Math
What does AI do for the working mathematician? ~ Krystal Guo. #AI4Math
#RetoLean4: La sucesión aₙ = 1/n converge a 0. #LeanProver #Math
#RetoLean4: Retos matemáticos con Lean 4. #LeanProver #Math
#Vestigium: Reseña de «What does AI do for the working mathematician?». #AI4Math
#Vestigium: Tres culturas matemáticas ante el avance de la IA. #Math #AI #AI4Math

Readings shared April 9, 2026

José A. Alonso — Fri, 10 Apr 2026 04:00:00 GMT

The readings shared in Bluesky on 9 April 2026 are:

ABC implies that Ramanujan's tau function misses almost all primes. ~ David Kurniadi Angdinata et als. #LeanProver #ITP #Math
Do we need frontier models to verify mathematical proofs?. ~ Aaditya Naik, Guruprerana Shabadi, Rajeev Alur, Mayur Naik. #AI4Math #LeanProver #ITP
Automatic textbook formalization. ~ Fabian Gloeckle, Ahmad Rammal, Charles Arnal, Remi Munos, Vivien Cabannes, Gabriel Synnaeve, Amaury Hayat. #AI4Math #LeanProver #ITP
Making written theorems explorable by grounding them in formal representations. ~ Hita Kambhamettu, Will Crichton, Sean Welleck, Harrison Goldstein, Andrew Head. #AI4Math #LeanProver #ITP
Automated conjecture resolution with formal verification. ~ Haocheng Ju et als. #AI4Math #ITP #LeanProver
Formalizing CHSH rigidity in Lean 4. ~ Tianrun Zhao, Nengkun Yu. #LeanProver #ITP
A prime-generated formalization of Nagata's factoriality theorem in Lean 4. ~ Arthur F. Ramos, Ruy J. G. B. de Queiroz, Anjolina G. de Oliveira. #LeanProver #ITP #Math
A taste of LeanLang. ~ Siddhartha Gadgil. #LeanProver #ITP #FunctionalProgramming
SAT is not solvable in constant time (in Isabelle/HOL). ~ Daniel Shea. #IsabelleHOL #Math
Theory X cannot exist: Machine-verified impossibility theorems in population ethics. ~ Julian L. Voigt. #IsabelleHOL #ITP
Abstract consistency properties (in Isabelle/HOL). ~ Asta Halkjær From, Anders Schlichtkrull. #IsabelleHOL #ITP
A graded modal dependent type theory with erasure, formalized. ~ Andreas Abel, Nils Anders Danielsson, Oskar Eriksson. #Agda #ITP
An optimal 14-symbol hybrid basis for BCH-algebras. ~ Mahesh Ramani, Shlok Kumar. #Prover9 #ATP #Math
QED-Nano: Teaching a tiny model to prove hard theorems. ~ LM-Provers, Yuxiao Qu, Amrith Setlur, Jasper Dekoninck, Edward Beeching, Jia Li, Ian Wu, Lewis Tunstall, Aviral Kumar. #AI4Math
Artificial intelligence and the structure of mathematics. ~ Maissam Barkeshli, Michael R. Douglas, Michael H. Freedman. #AI4Math
Short proofs in combinatorics, probability and number theory II. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math
Mathematical methods and human thought in the age of AI. ~ Terence Tao, Tanya Klowden. #AI #Math

Reseña de «Silicon Valley Is in a frenzy over bots that build themselves»

José A. Alonso — Sun, 05 Apr 2026 16:00:00 GMT

El artículo «Silicon Valley Is in a frenzy over bots that build themselves» analiza la creciente carrera en Silicon Valley por crear inteligencias artificiales capaces de mejorar sus propias capacidades. OpenAI, Anthropic y Google DeepMind lideran estos esfuerzos, automatizando partes significativas de su investigación interna con resultados concretos aunque todavía limitados.

Los avances actuales son incrementales: las herramientas de IA agilizan tareas concretas, pero aún dependen de la supervisión humana para fijar objetivos y ejercer el juicio creativo que los expertos llaman "gusto investigador". Las predicciones más optimistas sitúan la automatización completa entre 2028 y 2032.

El entusiasmo coexiste con una alarma creciente. Investigadores, activistas e incluso políticos como Bernie Sanders advierten sobre la pérdida del control humano, mientras los gobiernos, todavía adaptándose a internet, difícilmente podrán regular una tecnología que avanza a este ritmo.

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 29, 2026

José A. Alonso — Mon, 30 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 29 March 2026 are:

Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools. ~ Jarod Alper. #AI4Math #LeanProver #ITP #Math
On the paucity of lattice triangles. ~ David Kurniadi Angdinata, Evan Chen, Ken Ono, Jiaxin Zhang, Jujian Zhang. #LeanProver #ITP #Math
Executable Gödel encodings: A verified runtime for logical syntax. ~ Adrian Diamond. #LeanProver #ITP #Logic #Math
Lean: Collaboration using formalization. ~ Floris van Doorn. #LeanProver #ITP #Math
Formalizing the sphere packing problem. ~ Maryna Viazovska. #LeanProver #ITP #Math
A Lean formalisation of sphere packing in dimension 8. ~ Siddharth Hariharan. #LeanProver #ITP #Math
Autoformalization: A year of progress. ~ Auguste Poiroux. #AI4Math #LeanProver
Videos of talks at Swiss Mathematical Society Spring Meeting "Formalization and Proof Assistants" at UniDistance Suisse, 27/03/2026. #LeanProver
Formally verifying digital circuits with category theory in Lean. ~ Matt Hunzinger. #LeanProver #ITP #CategoryTheory
Shaping the future of mathematics in the age of AI. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP
What happens when AI starts checking mathematicians’ work. ~ Manon Bischoff. #AI4Math #LeanProver
As AI keeps improving, mathematicians struggle to foretell their own future. ~ Joseph Howlett. #AI4Math #LeanProver
Mathematics in the library of Babel. ~ Daniel Litt. #AI4Math
Claude, mon ami (Eine intellektuelle romanze). ~ Martin Burckhardt. #AI #Programming