Vestigium (Publicaciones sobre SetTheory)

Readings shared November 24, 2025

José A. Alonso — Tue, 25 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 24 November 2025 are:

An introduction to formal real analysis (Lecture 21: Functions and derivatives). ~ Alex Kontorovich. #ITP #LeanProver #Math
A perspective on interactive theorem provers in Physics. ~ Joseph Tooby-Smith. #ITP #LeanProver #Physics
ITP 2025 Lean workshop. #ITP #LeanProver
Gödel mirror: A paraconsistent calculus mechanized in Lean 4. ~ Jhet Chan. #ITP #LeanProver #Logic #Math
Automatic geometry theorem proving using polynomial elaboration. ~ Mauricio Barba da Costa et als. #ITP #LeanProver #Math
A topological rewriting of Tarski's mereogeometry. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver
A Coq-based axiomatization of Tarski's mereogeometry. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver
Set theory with types. ~ Lawrence Paulson. #Logic #Math #CompSci #SetTheory #TypeTheory
A new bridge links the strange math of infinity to computer science. ~ Joseph Howlett. #Math #CompSci
Tableau methodology for propositional logics. ~ T. Jarmuzek, R. Gore. #Logic

Readings shared October 23, 2025

José A. Alonso — Fri, 24 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 23 October 2025 are:

Constructive ordinal exponentiation. ~ Tom de Jong, Nicolai Kraus, Fredrik Nordvall Forsberg, Chuangjie Xu. #ITP #Agda #SetTheory
Mathematics with large language models as provers and verifiers. ~ Hieu Le Duc, Leo Liberti. #AI #Math #LLM #ITP #LeanProver
Las mejores películas sobre matemáticas. ~ Eduardo Sastre. #Matemáticas

Readings shared October 14, 2025

José A. Alonso — Wed, 15 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 14 October 2025 are:

Formally verified certification of unsolvability of temporal planning problems. ~ David Wang, Mohammad Abdulaziz. #ITP #IsabelleHOL
A formalization of the generalized quantum Stein's lemma in Lean. ~ Alex Meiburg, Leonardo A. Lessa, Rodolfo R. Soldati. #ITP #LeanProver
ZF style set theory in Knuckledragger I. ~ Philip Zucker. #Python #Logic #SetTheory
Making change: Array-based dynamic programming. ~ James Bowen. #Haskell #FunctionalProgramming #RustLang
A gentle introduction to the axiom of choice. ~ Andreas Blass, Dhruv Kulshreshtha. #Math #SetTheory

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 April 11, 2025

José A. Alonso — Fri, 11 Apr 2025 04:00:00 GMT

The readings shared in Bluesky on 11 April 2025 are

Code generation via meta-programming in dependently typed proof assistants. ~ Mathis Bouverot-Dupuis, Yannick Forster. #ITP #Agda #Rocq #LeanProver
A comparative review of ZFC, NBG, and MK axiom systems: Theoretical foundations and formalization in Coq. ~ Si Chen, Wensheng Yu. #ITP #Coq #Rocq #Math #SetTheory
A (very niche) footgun in GHC.Generics. ~ welltypedwitch. #Haskell #FunctionalProgramming
Refactoring strings in GHC. ~ Brandon Chinn. #Hakell #FunctionalProgramming
#Exercitium: Código de las alergias. #Haskell #ProgramaciónFuncional #Matemáticas
#Calculemus: Demostraciones con Lean4 y con Isabelle/HOL de "f[f⁻¹[u]] ⊆ u". #LeanProver #IsabelleHOL #Math

Readings shared March 23, 2025

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

The readings shared in Bluesky on 23 March 2025 are

A review on mechanical proving and formalization of mathematical theorems. ~ Si Chen, Wensheng Yu, Guowei Dou, Qimeng Zhang. #ITP #Coq #IsabelleHOL #HOL_Light #Mizar #LeanProver #Math
Formalization of the axiom of choice and its equivalent theorems. ~ Tianyu Sun, Wensheng Yu (2019). #ITP #Coq #SetTheory
A formal proof in Coq of Cantor-Bernstein-Schroeder’s theorem without axiom of choice (2019). #ITP #Coq #SetTheory
A formal system of axiomatic set theory in Coq. ~ Tianyu Sun, Wensheng Yu (2020). #ITP #Coq #SetTheory
A formalization of properties of continuous functions on closed intervals. Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math
Formalization of the equivalence among completeness theorems of real number in Coq. ~ Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math
Formalizing calculus without limit theory in Coq. ~ Yaoshun Fu, Wensheng Yu (2021). #ITP #Coq #Math
A formalization of topological spaces in Coq. ~ Sheng Yan, Yaoshun Fu, Dakai Guo, and Wensheng Yu (2022). #ITP #Coq #Math #SetTheory
Formalization of the filter extension principle (FEP) in Coq. ~ Guowei Dou, Wensheng Yu (2024). #ITP #Coq #Math #SetTheory
Implementation of Bourbaki's elements of mathematics in Coq: Part one, theory of sets. ~ José Grimm (2009). #ITP #Coq #SetTheory
Implementation of Bourbaki’s elements of mathematics in Coq: Part two, ordered sets, cardinals, integers. ~ José Grimm (2018). #ITP #Coq #Math
Concurrent games in Agda. ~ Amy Yin. #ITP #Agda
#Exercitium: Valores de polinomios representados con vectores. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "s \ (t ∪ u) ⊆ (s \ t) \ u". #LeanProver #IsabelleHOL #Math #Calculemus

Readings shared December 11, 2024

José A. Alonso — Wed, 11 Dec 2024 04:00:00 GMT

The readings shared in Bluesky on 11 December 2024 are

Readings shared December 10, 2024. #Haskell #Python #Math #Logic #SMT #Z3 #Python #LLMs #Prolog #LogicProgramming
Isomorphic transfer infrastructure for nested types in Isabelle/HOL (Work in progress). ~ Gergely Buday, Andrei Popescu. #ITP #IsabelleHOL
When is a call stack not a call stack? ~ Chris Smith. #Haskell #FunctionalProgramming
Gödel's program in set theory. ~ Sandra Müller, Grigor Sargsyan. #Logic #Math #SetTheory
Constructive theory of ordinals. ~ Thierry Coquand, Henri Lombardi, Stefan Neuwirth. #Logic #Math #SetTheory

Readings shared November 23, 2024

José A. Alonso — Sat, 23 Nov 2024 04:00:00 GMT

The readings shared in Mastodon on 23 November 2024 are

Readings shared November 22, 2024. #Logic #Math #FCA #ConExp #AI
'A place of joy': why scientists are joining the rush to Bluesky. ~ Smriti Mallapaty. #Bluesky
Axiomatic set theory (Version of 23 November 2024). ~ Tom Leinster. #Math #SetTheory

Readings shared November 15, 2024

José A. Alonso — Fri, 15 Nov 2024 04:00:00 GMT

The readings shared in Mastodon on 15 November 2024 are

Readings shared November 14, 2024. #ITP #LeanProver #Coq #ATP #Logic #Math #Haskell #FunctionalProgramming #FormalMethods #CompSci #Education #RustLang #AI #LLMs
Formalizing the divided power envelope in Lean. ~ María Inés de Frutos Fernández. #ITP #LeanProver #Math
The Haskell inlining and specialization FAQ. ~ Gabriella Gonzalez. #Haskell #FunctionalProgramming
Axiomatic set theory (Version of 9 November 2024). ~ Tom Leinster. #Math #SetTheory
The metaphors of artificial intelligence. ~ Melanie Mitchell. #AI #LLMs

Readings shared November 9, 2024

José A. Alonso — Sat, 09 Nov 2024 04:00:00 GMT

The readings shared in Mastodon on 9 November 2024 are

Readings shared November 8, 2024. #Math #AI #LLMs #Math #Reasoning
Formalising graph algorithms with coinduction. ~ Donnacha Oisín Kidney, Nicolas Wu. #ITP #Agda #Math
Axiomatic set theory (Version of 3 November 2024). ~ Tom Leinster. #Math #SetTheory
Introduction to mathematical proofs. ~ Shay Fuchs. #Logic #Math
On the relevance of logic for AI, and the promise of neuro-symbolic learning. ~ Vaishak Belle. #Logic #AI #MachineLearning