Vestigium (Publicaciones sobre ChatGPT)

Readings shared June 21, 2026

José A. Alonso — Mon, 22 Jun 2026 04:00:00 GMT

The readings shared in Bluesky on 21 June 2026 are:

A Lean 4 formalization of euclidean domain algorithms from a 1986 icon experimentation package. ~ Lars Warren Ericson. #LeanProver #ITP #Math
A Lean-certified proof of K₈(4, 2) = 23. ~ Andreas Florath. #LeanProver #ITP #Math
EconCSLib: A Lean library for computational economics and AI-Assisted research. ~ Xiaohui Bei, Jiajun Ma, Zhan Jing, Hongfei Fu, Zhihao Gavin Tang. #LeanProver #ITP
Finishing Oltean's completeness proof in Lean 4 for hybrid logic L(∀). ~ Lars Warren Ericson. #LeanProver #ITP #Logic
Formalizing chip-firing and Riemann-Roch for graphs in Lean 4. ~ Dhyey Dharmendrakumar Mavani, Nathan Pflueger. #LeanProver #ITP
Formalizing extended complex numbers, Mobius transformations, and cross ratio in Lean 4. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math
Prismriver: Formalization of music theory and algorithmic composition in Lean 4. ~ Leni Aniva, Claire Wang. #LeanProver #ITP
Formalizing numerical analysis: an agent pipeline and quality audit beyond kernel acceptance. ~ Theodore Meek, Siyuan Ge, Di Qiu Xiang, Simon Chess, Vasily Ilin. #AI4Math #LeanProver #ITP
A formalization of the exponential blowup in the transformations between CNF and DNF (in Isabelle/HOL). ~ Leon Raffael Schulz, Martin Desharnais-Schäfer, Jan Johannsen. #IsabelleHOL #ITP
Formalization of countable multisets (in Isabelle/HOL). ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP
Formalization of weighted sets (in Isabelle/HOL). ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP
LLMemma: An LLM-guided Isabelle proof synthesis system. ~ Daniel Busing, Hyunkyung Lee, Isaac Mangano, Timothy Stanbrough, Tommy Tran. #IsabelleHOL #ITP #LLMs
The Dottie number (in Isabelle/HOL). ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math
The detour calculus: Rigorous local deformation of integration contours. ~ Manuel Eberl. #IsabelleHOL #ITP #Math
A cubical formalisation of conditional independence, Bayesian conditioning, and Pearl's d-separation soundness. ~ Karen Sargsyan. #Agda #ITP
Programmable record types in Haskell. ~ Arthur Jamet, Michael Vollmer. #Haskell #FunctionalProgramming
Sheaves in Haskell. ~ Arnaud Spiwack. #Haskell #FunctionalProgramming
Writing static checks to an unsuspecting library with Liquid Haskell. ~ Xavier Góngora. #Haskell #FunctionalProgramming
Writing Prolog with ChatGPT. ~ John D. Cook. #Prolog #LogicProgramming #ChatGPT+ #RetoLean4: Propuesta del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L). #LeanProver #ITP #Math
#RetoLean4: Propuesta del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 5 (Demostrar que 5²ⁿ - 2³ⁿ es divisible por 17). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L). #LeanProver #ITP #Math

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 May 5, 2025

José A. Alonso — Mon, 05 May 2025 04:00:00 GMT

The readings shared in Bluesky on 5 May 2025 are

Compiling Haskell into Lean: A common abstract syntax for Haskell and interactive theorem provers. ~ Talitha Holcombe. #Haskell #FunctionalProgramming #ITP #LeanProver
Avaliando a habilidade do ChatGPT de realizar provas de dedução natural em lógica proposicional e lógica de predicados. ~ Francisco Leonardo Batista Martins et als. #LLLms #ChatGPT #Logic
Typed Lisp, a primer. ~ Musa Al-hassy (2019). #CommonLisp #Haskell

Readings shared May 2, 2025

José A. Alonso — Fri, 02 May 2025 04:00:00 GMT

The readings shared in Bluesky on 2 May 2025 are

A proof of concept tool to verify estimates. ~ Terence Tao. #Math #AI #LLMs #ChatGPT #Python
Advancing mathematics by guiding human intuition with AI. ~ Alex Davies et als. (2021). #Math #AI
Semantics of probabilistic programs using s-finite kernels in dependent type theory. ~ Reynald Affeldt, Cyril Cohen, Ayumu Saito. #ITP #Rocq
DeepIsaHOL progress report: current machine learning for the Isabelle proof assistant. ~ Jonathan Julián Huerta y Munive. #ITP #IsabelleHOL #LLMs
Frontier of formal theorem proving with large language models: Insights from the DeepSeek-Prover. ~ Huajian Xin. #ITP #LeanProver #LLMs #DeepSeek
Automated theorem provers as the hub of the AI math ecosystem. ~ Stephan Schulz. #Math #AI #ITP

Readings shared January 9, 2025

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

The readings shared in Bluesky on 9 January 2025 are

Readings shared January 8, 2025. #ITP #IsabelleHOL #AI #MachineLearning #LLMs
Teaching "Foundations of mathematics" with the LEAN theorem prover. ~ Mattia Luciano Bottoni, Alberto S. Cattaneo, Elif Sacikara. #ITP #LeanProver #Math
Using a JavaScript component inside a Haskell application. ~ Mateusz Goślinowski. #Haskell #FunctionalProgramming #JavaScript
Mathematics of neural networks (Lecture notes graduate course). ~ Bart M.N. Smets. #NeuralNetwork #Math
Notes on mathematical logic (Vol. 1). ~ David W. Kueker. #Logic #Math
Notes on mathematical logic (Vol. 2). ~ David W. Kueker. #Logic #Math
ChatGPT: Cómo hacer (y mejorar) mi Trabajo de Fin de Carrera de la Universidad en un par de minutos. ~ Chema Alonso. #ChatGPT #Python #Programming

Readings shared December 3, 2024

José A. Alonso — Tue, 03 Dec 2024 04:00:00 GMT

The readings shared in Bluesky on 3 December 2024 are

Readings shared December 2, 2024. #ITP #LeanLang #Math #Calculemus #CategoryTheory #Math #Racket #FunctionalProgramming
Lean: First steps (17 - Using our own lemma). ~ Tariq Rashid. #ITP #Lean4 #Math
All your base are belong to U^s (Sort polymorphism for proof assistants). ~ Josselin Poiret, Gaëtan Gilbert, Kenji Maillard, Pierre-Marie Pédrot, Matthieu Sozeau, Nicolas Tabareau, Éric Tanter. #ITP #CoqLang #Rocq
Mechanised safety verification for a distributed autonomous railway control system. ~ Robert Sachtleben, Anne Haxthausen, Jan Peleska. #ITP #IsabelleHOL
The mathematician who—incidentally—helped mathematicians to stop worrying and love the computer. ~ Keith Devlin. #Math
ChatGPT turns two: how the AI chatbot has changed scientists’ lives (How many researchers are using the AI tool? Nature gathers data and talks to members of the academic community). ~ Mariana Lenharo. #LLMs #ChatGPT

Readings shared November 7, 2024

José A. Alonso — Thu, 07 Nov 2024 04:00:00 GMT

The readings shared in Mastodon on 7 November 2024 are

Unification in matching logic — revisited. ~ Ádám Kurucz, Péter Bereczky, Dániel Horpácsi. #ITP #Coq
Grupos en Lean. ~ Luis Turcio. #ITP #Lean4 #Math
The Haskell Unfolder Episode 35: Distributive and representable functors. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming
What can we mean? (on practices, norms and pluralisms). ~ Greg Restall. #ITP #Agda #Lean #Logic #Math
Learning rules explaining interactive theorem proving tactic prediction. ~ Liao Zhang, David M. Cerna, Cezary Kaliszyk. #ILP #ITP #Coq
Next-token prediction task assumes optimal data ordering for LLM training in proof generation. ~ Chenyang An et als. #LLMs #ITP #LeanProver
ChatGPT as tutor? A case study on competitive programming. ~ Juuso Rytilahti, Erno Lokkila. #ChatGPT #AI #Programming #Education

Readings shared October 27, 2024

José A. Alonso — Sun, 27 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 27 October 2024 are

Readings shared October 26, 2024. #ILP #LogicProgramming #AI #MachineLearning
Double auctions: Formalization and automated checkers. ~ Mohit Garg, N. Raja, Suneel Sarswat, Abhishek Kr Singh. #ITP #Coq #Haskell #OCaml
Axiomatic set theory (Version of 26 October 2024). ~ Tom Leinster. #Math #SetTheory
ChatGPT’s performance in university admissions tests in mathematics. ~ Angel Udias et als. #ChatGPT #Math

Readings shared October 15, 2024

José A. Alonso — Tue, 15 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 15 October 2024 are

Readings shared October 13, 2024. #AI #CategoryTheory #Coq #Education #FunctionalProgramming #Haskell #ITP #ITP
On using GeoGebra and ChatGPT for geometric discovery. ~ Francisco Botana, Tomás Recio, María Pilar Vélez. #GeoGebra #ChatGPT #Math #AI
Lean: First steps (12 - Odd & Even ). ~ Tariq Rashid #ITP #Lean4 #Math
Tutorial videos for the course "Lean: First Steps". ~ Tariq Rashid. #ITP #Lean4 #Math
The handshaking lemma. ~ Christoph Spiegel. #ITP #LeanProver #Lean4 #Math
Water sort in Haskell. ~ Nicolas Audinet de Pieuchon. #Haskell #FunctionalProgramming
The power of Prolog. ~ Markus Triska. #Prolog #LogicProgramming
Programación lógica con restricciones. #Prolog #LogicProgramming
Emacs para ciencias del dato. #Emacs #OrgMode
The λ-calculus, 2: The Church-Rosser theorem. ~ Lawrence Paulson. #LambdaCalculus

Lecturas compartidas el 18 de julio de 2024

José A. Alonso — Fri, 19 Jul 2024 04:00:00 GMT

Las lecturas compartidas en Mastodon el 18 de julio de 2024 son

Lecturas compartidas el 16 de julio de 2024. #ITP #Lean4 #Coq #LLMs #Programming #Emacs
Functional Pearl: Short and mechanized logical relation for dependent type theories. ~ Yiyun Liu, Stephanie Weirich. #ITP #Coq
HHLPar: Automated theorem prover for parallel hybrid communicating sequential processes. ~ Xiangyu Jin, Bohua Zhan, Shuling Wang, Naijun Zhan. #ITP #IsabelleHOL
Molly: A verified compiler for cryptographic roles. ~ Daniel J. Dougherty, Joshua D. Guttman. #ITP #Coq
Formalizing operads for a categorical framework of DSL composition. ~ Zachary Flores, Angelo Taranto, Yakir Forman, Eric Bond. #ITP #Coq
Modular implementation and formalization of dynamic policies (Work in progress). ~ Antonio Zegarelli, Niki Vazou, Marco Guarnieri. #FunctionalProgramming #LiquidHaskell
Demystifying Artificial Intelligence (Symbolic, data-driven, statistical and ethical AI). ~ Emmanuel Gillain (ed.). #eBook #AI
Using ChatGPT as a proof assistant in a mathematics pathways course. ~ Hyejin Park, Eric D. Manley. #ChatGPT #Math #Reasoning
The Haskell Unfolder Episode 29: Exceptions, annotations and backtraces. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming