Vestigium (Publicaciones sobre Prover9)

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

Readings shared March 19, 2026

José A. Alonso — Fri, 20 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 19 March 2026 are:

Aristotle: The World's most advanced formal reasoning agent. #LeanProver #ITP #Math
Formalization of QFT (quantum field theory). ~ Michael R. Douglas, Sarah Hoback, Anna Mei, Ron Nissim. #LeanProver #ITP #Physics
Formalizing the classical isoperimetric inequality in the two-dimensional case. ~ Miraj Samarakkody. #LeanProver #ITP #Math
Synthetic differential geometry in Lean. ~ Riccardo Brasca, Gabriella Clemente. #LeanProver #ITP #Math
Formal verification of axiom-free gödelian ontological argument and trinity necessity proof in Isabelle HOL. ~ Yong-Dock Kim. #IsabelleHOL #ITP
In the mood for inference: Logic-based natural language inference with large language models. ~ Bill Noble, Rasmus Blanck, Gijs Wijnholds. #Prover9 #ATP #LLMs
Acertijo del día: Un reto diario de lógica. #Logic

Readings shared January 24, 2026

José A. Alonso — Sun, 25 Jan 2026 04:00:00 GMT

The readings shared in Bluesky on 24 January 2026 are:

Abel's limit theorem (in Isabelle/HOL). ~ Kangfeng Ye. #ITP #IsabelleHOL #Math
A formalization of the downward Löwenheim-Skolem theorem in Coq. ~ Timothée Huneau. #ITP #CoqProver #Logic #Math
Formally verified number-theoretic transform. ~ Alix Trieu. #ITP #RocqProver
The HOL-Light library of multivariate real analysis in Rocq. ~ Claudio Sacerdoti Coen, Abdelghani Alidra, Frédéric Blanqui. #ITP #RocqProver #HOL_Light #Math
Blurred drinker paradoxes and blurred choice axioms: Constructive reverse mathematics of the downward Löwenheim-Skolem theorem. ~ Dominik Kirst, Haoyi Zeng. #ITP #CoqProver #Logic #Math
Elementary proofs of ring commutativity theorems. ~ Michael Kinyon, Desmond MacHale. #ATP #Prover9 #Math
Verified polynomial-time reductions in Lean 4: formalizing the complexity of decision-relevant information. ~ Tristan Simas. #ITP #LeanProver
Sequencelib: A computational platform for formalizing the OEIS in Lean. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math
Sequencelib: A platform for formalizing OEIS sequences in Lean 4. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math
Numina-Lean-agent: An open and general agentic reasoning system for formal mathematics. ~ Junqi Liu et als. #ITP #LeanProver #Math
ChatGPT and AI enhancing undergrad math. ~ Matthias Kawski. #AI #Math
AI for mathematics: Progress, challenges, and prospects. ~ Haocheng Ju, Bin Dong. #AI #Math #AI4Math #ITP #IsabelleHOL #CoqProver #LeanProver
Sobre la resolución de problemas de Erdős usando inteligencia artificial generativa. ~ Francisco R. Villatoro. #AI #Math #ITP #LeanProver

Readings shared July 12, 2025

José A. Alonso — Sun, 13 Jul 2025 04:00:00 GMT

The readings shared in Bluesky on 12 July 2025 are

A formalization of divided powers in Lean. ~ Antoine Chambert-Loir, María Inés de Frutos-Fernández. #ITP #LeanProver #Math
Completeness of the decreasing diagrams method for proving confluence of rewriting systems of the least uncountable cardinality. ~ Ievgen Ivanov. #ITP #IsabelleHOL
Mechanized undecidability of higher-order beta-matching. ~ Andrej Dudenhefner. #ITP #CoqProver
Marginal subsemigroups and commutators in inverse semigroups. ~ Gonçalo Araújo, João Araújo, Michael Kinyon #ATP #Prover9 #Math
Proof theory and logic programming: Computation as proof search. ~ Dale Miller. #Logic #ProofTheory #LogicProgramming
Teaching logic programming: a review. ~ Serhiy O. Semerikov et als. #LogicProgramming #Prolog #ASP #CLP
Categorical semantics in Haskell. ~ Mohamed Amine Ayari. #Haskell #FunctionalProgramming #CategoryTheory
Generic second-order matching, higher-order preunification and pattern unification - Implementations in Haskell. ~ Nikolai Kudasov et als. #Haskell #FunctionalProgramming
CriticLean: Critic-guided reinforcement learning for mathematical formalization. ~ Zhongyuan Peng et als. #LLMs #ITP #LeanProver #Math
¿Por qué los usuarios de Emacs lo usan para todo? ~ Andros Fenollosa (2023). #Emacs

Readings shared June 10, 2025

José A. Alonso — Wed, 11 Jun 2025 09:06:00 GMT

The readings shared in Bluesky on 10 June 2025 are

Inductive definitions. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math
The equational theories project: advancing collaborative mathematical research at scale. ~ Terence Tao et als. #ITP #LeanProver #Math #AIforMath
New AI stuns mathematicians with its problem-solving skill. ~ David H Bailey. #AI #LLMs #Math #AIforMath #ITP #LeanProver
Premise selection for a Lean hammer. ~ Thomas Zhu, Joshua Clune, Jeremy Avigad, Albert Qiaochu Jiang, Sean Welleck. #ITP #LeanProver #AI
Safe: Enhancing mathematical reasoning in large language models via retrospective step-aware formal verification. ~ Chengwu Liu et als. #LLMs #Math #ITP #LeanProver
AlphaProof: When RL meets formal maths. ~ Thomas Hubert. #AI #Math #AIforMath #ITP #LeanProver #AlphaProof
AI for Math: The future of collaborative discovery. ~ Mateja Jamnik. #AIforMath
Are LLMs reliable translators of logical reasoning across lexically diversified contexts? ~ Qingchuan Li et als. #LLMs #Math #ATP #Prover9
Dr. Neckbeard, or how I learned to stop worrying and love Emacs. ~ Watts Martin. #Emacs
Revistas, editoriales y congresos depredadores. #Investigación
AlphaProof: Aprendizaje por refuerzo aplicado a la demostración matemática. #AI #Math #AIforMath #ITP #LeanProver #AlphaProof
El futuro de las matemáticas: Descubrimiento colaborativo entre humanos y máquinas. #AIforMath #AI #Math
El proyecto ETP (Un caso de estudio en investigación matemática colaborativa y formalizada). #AIforMath #ITP #LeanProver #Math

Readings shared April 13, 2025

José A. Alonso — Sun, 13 Apr 2025 04:00:00 GMT

The readings shared in Bluesky on 13 April 2025 are

Completeness of decreasing diagrams for the least uncountable cardinality (in Isabelle/HOL). ~ Ievgen Ivanov. #ITP #IsabelleHOL #Math #SetTheory
Efficient formal verification of quantum error correcting programs. ~ Qifan Huang, Li Zhou, Wang Fang, Mengyu Zhao, Mingsheng Ying. #ITP #Coq
Mathematical reading list (University of Cambridge). #Math
LLMs can't stop making up software dependencies and sabotaging everything. ~ Thomas Claburn. #AI #LLMs #Programming
#Exercitium: Descomposiciones triangulares. #Haskell #ProgramaciónFuncional #Matemáticas
#Calculemus: Demostraciones con Lean4 y con Isabelle/HOL de "Si f es suprayectiva, entonces u ⊆ f[f⁻¹[u]]". #LeanProver #IsabelleHOL #Math
Curso "Razonamiento automático (2011-12)". #RazonamientoAutomático #Otter #Mace2 #Prover9 #Mace4 #DemostraciónInteractiva #IsabelleHOL

Readings shared March 24, 2025

José A. Alonso — Mon, 24 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 24 March 2025 are

Formal verification of machine learning models in Lean. ~ Matéo H. Petel. #ITP #LeanProver #MachineLearning
Why Lisp syntax works. ~ Fernando Borretti. #Lisp #Programming
MathGPT: Your personal math solver (Get instant homework help from your on-demand AI math solver). #AI #LLMs #Math
MathGPT: una herramienta para resolver problemas matemáticos y ayudar con los deberes. ~ @Alvy. #IA #LLMs #Matemáticas
Exercitium (Un reto diario de programación). #Exercitium #Haskell #ProgramaciónFuncional
#Exercitium: Ramas de un árbol. #Haskell #ProgramaciónFuncional
Demostraciones con Lean4 y con Isabelle/HOL de "s ∩ t = t ∩ s". #LeanProver #IsabelleHOL #Math #Calculemus
Curso "Programación lógica (2008-09)". #ProgramaciónLógica #Prolog #IA
Curso "Razonamiento automático (2008-09)". #RazonamientoAutomático #Otter #Mace2 #Prover9 #Mace4 #DemostraciónInteractiva #IsabelleHOL

Readings shared March 18, 2025

José A. Alonso — Tue, 18 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 18 March 2025 are

Lessons learned with the Z3 SAT/SMT solver. ~ John D. Cook. #SMT #Z3
Teaching logic programming: a review. ~ Serhiy O. Semerikov, Iryna S. Mintii, Natalia V. Moiseienko. #LogicProgramming #Prolog #ASP #CLP #Datalog
Series vs. streams. ~ Joe Marshall. #CommonLisp
#Exercitium: Suma si todos los valores son justos. #Haskell #ProgramaciónFuncional
#Calculemus: Demostrar con Isabelle/HOL que las relaciones reflexivas y circulares son simétricas. #IsabelleHOL #Lógica #Matemática
Curso "Programación declarativa (2007-08)". #ProgramaciónFuncional #Haskell #ProgramaciónLógica #Prolog
Curso "Programación lógica (2007-08)". #ProgramaciónLógica #Prolog #IA
Curso "Razonamiento automático (2007-08)". #RazonamientoAutomático #Otter #Mace2 #Prover9 #Mace4 #DemostraciónInteractiva #IsabelleHOL

Readings shared February 23, 2025

José A. Alonso — Sun, 23 Feb 2025 04:00:00 GMT

The readings shared in Bluesky on 23 February 2025 are

Power operator for lists (in Isabelle/HOL). ~ Štěpán Holub, Martin Raška, Štěpán Starosta, Tobias Nipkow. #ITP #IsabelleHOL
Strands Rocq: Why is a security protocol correct, mechanically? ~ Matteo Busi, Riccardo Focardi, Flaminia L. Luccio. #ITP #Rocq #Coq
Fracterm calculus for partial meadows. ~ Jan A. Bergstra, Alban Ponse. #ATP #Prover9 #Mace4 #Math
How to deepen your understanding of Mizar. ~ Alex Nelson. #ITP #Mizar

Readings shared December 13, 2024

José A. Alonso — Fri, 13 Dec 2024 04:00:00 GMT

The readings shared in Bluesky on 13 December 2024 are

Readings shared December 12, 2024. #ITP #LeanLang #Lean4 #Math
On extending incorrectness logic with backwards reasoning. ~ Freek Verbeek, Md Syadus Sefat, Zhoulai Fu, Binoy Ravindran. #ITP #IsabelleHOL
Machine checked proofs and programs in algebraic combinatorics. ~ Florent Hivert. #ITP #Coq #Rocq #Math
Univocity of intuitionistic and classical connectives. ~ Rodolfo C. Ertola-Biraben, Branden Fitelson. #ATP #Prover9 #Mace4 #Logic #Math