Vestigium (Publicaciones sobre Prolog)

Readings shared September 28, 2026

José A. Alonso — Mon, 28 Sep 2026 04:00:00 GMT

The readings shared in Mastodon on 28 September 2026 are:

A formalization at large (Laver function in Lean). ~ Leheng Chen, Bin Dong, Jiedong Jiang, Zhiyuan Zhang. #LeanProver #ITP #Math
Formalization of Harder-Narasimhan theory. ~ Yijun Yuan. #LeanProver #ITP #AI4Math
Gödel's and Scott's variants of the ontological argument in Lean 4. ~ Christoph Benzmüller. #LeanProver #ITP #AI4Math
Formalization of Langlands’s first main lemma for local epsilon factors. ~ Fukuhiro Ueda. #LeanProver #ITP #AI4Math
Lean 4 formalization of Michael Spivak's "Calculus" (covering both the 3rd and 4th editions). ~ Jon-Erik G. Storm. #LeanProver #ITP #AI4Math
Visual Lean: An accessible interface for Lean 4 proofwriting. ~ Autumn Mapes. #LeanProver #ITP
A formalisation of a special case of the union-closed conjecture in Isabelle/HOL. ~ Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson. #IsabelleHOL #ITP
A formalisation of a special case of the union-closed conjecture in Isabelle/HOL. ~ Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson. #IsabelleHOL #ITP
Deterministic context-free languages are closed under complementation (Hopcroft and Ullman). ~ Kaan Taskin, Tobias Nipkow. #IsabelleHOL #ITP
Notes on Gödel’s and Scott’s variants of the ontological argument. ~ Christoph Benzmüller, Dana Scott. #IsabelleHOL #ITP
The Teichmüller-Tukey lemma (in Isabelle/HOL). ~ Vithor Lindermann Kraisch, Luiz Gustavo Cordeiro. #IsabelleHOL #ITP #Math
Verified QBF solving in Isabelle/HOL: a trustworthy baseline for mechanised quantified boolean reasoning. ~ Axel Bergström, Tjark Weber. #IsabelleHOL #ITP
Verifying numerical methods with Isabelle/HOL. ~ Dustin Bryant, Jonathan Julian Huerta y Munive, Simon Foster. #IsabelleHOL #ITP #AI4Math
Verifying numerical methods with Isabelle/HOL. ~ Dustin Bryant, Jonathan Julian Huerta y Munive, Simon Foster. #IsabelleHOL #ITP #Math
Work bounds for strongly joinable balanced binary search trees (in Isabelle/HOL). ~ Marco Haucke. #IsabelleHOL #ITP
Formal verification of tilt estimation using the Rocq prover. ~ Reynald Affeldt, Lynda Bentoucha, Yoshihiro Ishiguro, Holger Thies. #RocqProver #ITP
The logic of Bunched implications is undecidable, mechanized in Rocq. ~ Dominique Larchey-Wendling. #Rocq #ITP
A mechanized formalization of MicroKanren in Agda. ~ Eduardo Henke, Rodrigo Ribeiro. #Agda #ITP
"Be a Grothendieck!" — On AI and mathematics. ~ Gil Kalai. #AI4Math
AI and mathematical research. ~ Claudia Alfes, Thomas Nikolaus, Andreas Thom. #AI4Math
All the math we will not see. ~ Alessandro Della Corte. #AI4Math
El miedo al lado oscuro de la IA en la comunidad matemática. ~ Anabel Forte Deltell. #AI4Math
Navigating the AI crisis: a humble guide for students. ~ Tarik Aougab. #AI4Math
New math + AI developments in fluid mechanics. ~ Javier Gomez-Serrano. #AI4Math
ProofForum: Keeping AI-generated mathematics human. ~ Marco Trombetti. #AI4Math
Summit on PhD math education in the age of AI. #AI4Math
The scientific debate over AI in mathematics. ~ Oswaldo Royett. #AI4Maht
¿Realmente ha resuelto OpenAI el "problema matemático del milenio" de Navier-Stokes? ~ Víctor Javier Llorente Lázaro. #AI4Math
Enscryerypt: Encrypt and decrypt files with Scryer Prolog. ~ Markus Triska. #Prolog #LogicProgramming
¿Qué son los números reales? II. ~ Esteban Martínez. #Math
#Calculemus: Demostraciones con Lean 4 del Reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 14 (Para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 15 (Existe un k ∈ ℕ tal que, para todo n ∈ ℕ, (n + k)² ≤ 2ⁿ⁺ᵏ). #LeanProver #ITP #Math
#Calculemus: Demostraciones con Lean 4 del Reto 19 (Las sucesiones convergentes son sucesiones de Cauchy). #LeanProver #ITP #Math
#Vestigium: Formalización del libro "Calculus" de Spivak en Lean 4. #LeanProver #ITP #AI4Math
#Vestigium: Lista de usos y expectativas de la IA en matemáticas. #AI4Math

Readings shared August 24, 2026

José A. Alonso — Mon, 24 Aug 2026 04:00:00 GMT

The readings shared in Mastodon on 24 August 2026 are:

A Lean formalization of the main theorem of the paper "Low-rank univariate sum of squares has no spurious local minima". ~ Chenyang Yuan. #LeanProver #ITP #AI4Math
A barrier-free synchronization algorithm for multi-engine AI accelerators. ~ Chungha Sung, Nikil V. Shyamsunder, Hanliang Zhang, Daniel Kroening, Joonwon Choi. #LeanProver #ITP
A proof of the Regts–Sevenster conjecture, formalized. ~ William Whistler. #LeanProver #ITP #AI4Math
Cardinality of topological bases of a finite set. ~ Lars Warren Ericson. #LeanProver #ITP #Math
Erdős problem #501 in Lean 4. ~ Elliot Glazer. #LeanProver #ITP #Math #AI4Math
A Lean 4 formalization of Pick's theorem, the polygonal Jordan curve theorem, the full Jordan curve theorem, and Radó's theorem. ~ Rado Kirov. #LeanProver #ITP #AI4Math
Cantor measures with odd base do not admit Fourier frames. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math
Formalizing extended complex numbers, Möbius transformations, and cross ratio in Lean 4. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math
Lean formalization of bounded gaps between primes. ~ Evan Chen, Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ken Ono, Ashvin Swaminathan, Jesse Thorner, Yunzhou Xie. #LeanProver #ITP #AI4Math
Lean formalization of complex analysis. ~ Fubin Yan et als. #LeanProver #ITP #Math
Lean formalization of the Sabidussi compatibility conjecture. ~ Nikolay Ulyanov. #LeanProver #ITP #Math
Math exercises in Lean. ~ Anna Immerwahr. #LeanProver #ITP #Math
NUSLean: Lean 4 formalization of "A near-quadratic lower bound for sets with no unique sums". ~ Xinjie He. #LeanProver #ITP #Math
On the existence problem of regular Gabor frames. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #AI4Math
Palomar: A public registry of Lean-verified mathematics. #LeanProver #ITP #AI4Math
Palomar: a registry of Lean verified mathematics. ~Terence Tao. #LeanProver #ITP #AI4Math
Sendov's conjecture in Lean. ~ Terence Tao. #LeanProver #ITP #Math
Stable phase retrieval for spans of independent random variables. ~ Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos, Mitchell A. Taylor. #LeanProver #ITP #AI4Math
Constrained input/output logic in HOL: An algebraic embedding. ~ Ali Farjami, Luca Pasetto. #IsabelleHOL #ITP
A naive encoding of Russell's paradox in type theory. ~ Zhuoyuan Qu. #CoqProver #Agda #ITP #Math
Formal verification of Romanov's triplet logic: A verified filter for sliding-window 3-CNF with application to structured formulas. ~ Dmitry V. Alexandrov. #RocqProver #ITP #AI4Math
Changes in the classroom in the AI Era. ~ Benjamin Jaye, Galyna V. Livshyts. #AI4Math
LLMs make mathematics easier. Now raise the bar. ~ Marijn J. H. Heule. #AI4Math
Response to "The AI dissenter viewpoint". ~ Anatoly Vitold Stankyavichyus. #AI4Math
A proof of the imbalance conjecture. ~ James Alexander Schreib, Yousof Yavari. #AI4Math #LeanProver
Human mathematics in the age of reasoning machines. ~ Akshay Venkatesh. #AI4Math
On protecting mathematics from LLM companies’ monopoly. ~ Tian Lan. #AI4Math
The shape of math to come. ~ Alex Kontorovich. #AI4Math #LeanProver
Imprecise probabilistic programming, precisely (Credal sets via graded monads, BDDs, and semiring-parametric inference). ~ Jack Liell-Cock, Sam Staton. #Haskell #FunctionalProgramming
ediprolog: Emacs does interactive Prolog. ~ Markus Triska. #Prolog #LogicProgramming #Emacs
stdin | LLM | stdout. ~ karthink. #Emacs #LLMs
My advice for users wanting to switch to Emacs. ~ Daniel Pinkston. #Emacs
#Calculemus: Demostraciones con Lean 4 del Reto 2 (La sucesión 1, -1, 1, -1,… no es convergente). #LeanProver #Math
#Calculemus: Demostraciones con Lean 4 del Reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L). #LeanProver #Math
#RetoLean4: Enunciado del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ]). #LeanProver #ITP #Math
#RetoLean4: Soluciones del reto (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴). #LeanProver #ITP #Math
#Retolean4: Vídeo tutorial sobre cómo resolver el reto 14. #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 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 June 14, 2026

José A. Alonso — Mon, 15 Jun 2026 04:00:00 GMT

The readings shared in Bluesky on 14 June 2026 are:

A formally verified library of mathematical finance in Lean 4. ~ Raphael Coelho. #LeanProver #ITP
A kernel-clean lean mechanization of Classical Lottery in Action and the Wakker-Debreu-Koopmans representation layer. ~ Jingyuan Li, Ilia Tsetlin, Fan Wang. #LeanProver #ITP
An automated proof that R(B₈, B₁₀) = 37. ~ Jeremy Kalfus, Bernard Lidický. #LeanProver #ITP #Math
Complex analysis in PNT+ and real analysis as a game. ~ Alex Kontorovich. #LeanProver #ITP #Math
Formal foundations and proof-carrying certificates for q-ary covering codes in Lean 4. ~ Andreas Florath. #LeanProver #ITP
Formalizing Schwartz functions and tempered distributions. ~ Moritz Doll. #LeanProver #ITP #Math
Formalizing multi-graded Brenner-Schröer Proj schemes and dilatations of rings in Lean4. ~ Arnaud Mayeux, Jujian Zhang. #LeanProver #ITP #Math
HoTTLean: Formalizing the groupoid model of MLTT. ~ Steve Awodey, Mario Carneiro, Sina Hazratpour, Joseph Hua, Wojciech Nawrocki, Spencer Woolfson, Yiming Xu. #LeanProver #ITP
The continuous functional calculus in Lean. ~ Anatole Dedecker, Jireh Loreaux. #LeanProver #ITP #Math
A reusable Isabelle/HOL framework for propositional labelled natural deduction. ~ Arthur Freitas Ramos 📧, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP
EC2’s formally verified “isolation engine” provides mathematical assurance of virtual-machine isolation. ~ Dominic Mulligan, Nathan Chong. #IsabelleHOL #ITP.
Euler's exponential series as an infinite polynomial (in Isabelle/HOL). ~ Jacques D. Fleuriot. #IsabelleHOL #ITP #Math
Fair games theorem (in Isabelle/HOL). ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math
Feuerbach's theorem (in Isabelle/HOL). ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math
Formalization and implementation of algebraic methods in geometry. ~ Filip Marić, Ivan Petrović, Danijela Petrović, Predrag Janičić. #IsabelleHOL #ITP #Math
Isabelle/PIDE as platform for educational tools. ~ Makarius Wenzel, Burkhart Wolff. #IsabelleHOL #ITP
Mechanized metasemantics of modal necessity: Valuation factorization and modal non-collapse. ~ Yong-Dock Kim. #IsabelleHOL #ITP
Vosper's theorem and the Cauchy–Davenport theorem via the polynomial method. ~ Arthur Freitas Ramos , David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
A proof in Coq that core logic is not paraconsistent. ~ Joseph Vidal-Rosset. #CoqProver #ITP
Extraction and search in Rocq: Theorems, definitions and their dependencies. ~ Jian Fang, Yingfei Xiong. #RocqProver #ITP
Auto formalisation of Chaitin and of the surprise incompleteness theorem. ~ Thierry Coquand. #Agda #ITP #AI4Math
A golden age of maths is dawning and mathematicians are freaking out. ~ Alex Wilkins. #AI4Math
A problem of Andrews and Dhar on partitions. ~ Simon Mahns, Ken Ono, Jujian Zhang. #AI4Math #AxiomProver #LeanProver #ITP
AI scores a ‘C–’ on its hardest math test yet. ~ Joseph Howlett. #AI4Math
Artificial intelligence for mathematical reasoning: an integrated survey of language models, neuro-symbolic systems, and verified discovery. ~ Syed Rifat Raiyan, Mohsinul Kabir, Hasan Mahmud, Md Kamrul Hasan. #AI4Math
DeepMind’s new AI found a strange new way to think. ~ Károly Zsolnai-Fehér. #AI4Math #LeanProver #ITP
How Terry Tao became an evangelist for AI in math. ~ Kevin Hartnett. #AI4Math #LeanProver #ITP
Les mathématiciens se positionnent face à l’IA. ~ François Lassagne. #AI4Math
Pythagoras-Prover: Advancing efficient formal proving via augmented Lean formalisation. ~ Joshua Ong Jun Leang, Zheng Zhao, Mihaela Cătălina Stoian, Qiyuan Xu, Haonan Li, Wenda Li, Shay B. Cohen, Eleonora Giunchiglia. #AI4Math #LeanProver #ITP
Solving a chess puzzle with Claude and Prolog. ~ John D. Cook. #Prolog #LogicProgramming #LLMs
eyelang: a small rule engine for Prolog-style Horn clauses over ordinary terms, lists, arithmetic, strings, and finite search. ~ Jos De Roo. #LogicProgramming

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 May 4, 2026

José A. Alonso — Tue, 05 May 2026 04:00:00 GMT

The readings shared in Bluesky on 4 May 2026 are:

Compfiles: Catalog of math problems formalized in Lean. ~ David Renshaw et als. #LeanProver #ITP #Math
Primitive pythagorean triples in lean and reduction modulo odd prime powers. ~ Luke Biddle. #LeanProver #Math
Sobre la demostración del Problema #1196 de Erdős por GPT-5.4 Pro. ~ Francisco R. Villatoro. #LeanProver #AI4Math
Nagata factoriality (in Isabelle/HOL). ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math
The algebra of iterative constructions (in Isabelle/HOL). ~ Kevin Batz, Benjamin Lucien Kaminski, Lucas Kehrer, Gerwin Klein, Henning Urbat, Todd Schmid. #IsabelleHOL #ITP
Delooping generated groups in homotopy type theory. ~ Camil Champin, Samuel Mimram, Emile Oleon. #Agda #ITP #HoTT
A monadic implementation of functional logic programs. ~ Michael Hanus, Kai-Oliver Prott, Finn Teegen. #Haskell #FunctionalProgramming
Arboretum.hs: Symbolic manipulation for algebras of graphs. ~ Eugen Bronasco, Jean-Luc Falcone, Gilles Vilmart. #Haskell #FunctionalProgramming
Why I still reach for Scheme and Lisp instead of Haskell. ~ Josep Bigorra. #Haskell #Scheme #Lisp #FunctionalProgramming
Collatz conjecture in Prolog. ~ Markus Triska. #Prolog #LogicProgramming
CKKS — Polynomials, the canonical embedding, and encoding. ~ Jeremy Kun. #Python #Programming #Math
MathDuels: a self-play benchmark for mathematical reasoning. ~ Rabdos. #AI4Math
MathDuels: Evaluating LLMs as problem posers and solvers. ~ Zhiqiu Xu, Shibo Jin, Shreya Arya, Mayur Naik. #AI4Math

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

Reseña de «Education for logical thinking in the age of AI»

José A. Alonso — Mon, 13 Apr 2026 04:40:00 GMT

El artículo «Education for logical thinking in the age of AI», de Robert Kowalski, plantea que el avance de la IA neuronal —opaca, propensa a alucinaciones y capaz de difundir desinformación— exige que los seres humanos mejoren su capacidad de razonamiento lógico para monitorizar y controlar estos sistemas.

Kowalski defiende la programación lógica como herramienta educativa ideal: más simple que otras lógicas formales pero igualmente poderosa, permite enseñar razonamiento deductivo, abductivo y por defecto desde la escuela primaria, usando una sintaxis cercana al lenguaje natural.

El autor concluye que la comunidad académica debe unirse urgentemente en torno a un currículo común de lógica, y presenta el Prolog Education Group como iniciativa para coordinar este esfuerzo global ante los retos que plantea la era de la IA.

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