Vestigium (Publicaciones sobre HoTT)

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 November 7, 2025

José A. Alonso — Sat, 08 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 7 November 2025 are:

An introduction to formal real analysis (Lecture 16: Completeness of the real numbers). ~ Alex Kontorovich. #ITP #LeanProver #Math
The path to a superhuman AI mathematician. ~ Lawrence Fisher. #AI #Math #ITP #LeanProver
Math reasoning in times of AI: Lean way of theorem proving. ~ Jan Cepika et als. #ITP #LeanProver #Math #AI #LLM
Babel-formal: Translation of proofs between Lean and Rocq. ~ Théo Stoskopf, Cyril Cohen, Nicolas Tabarea. #ITP #LeanProver #Rocq
ScenicProver: A framework for compositional probabilistic verification of learning-enabled systems. ~ Eric Vin et als. #ITP #LeanProver
Polynomial universes in Homotopy Type Theory. ~ C.B. Aberlé, David I. Spivak. #ITP #Agda #HoTT
Mathematical exploration and discovery at scale. ~ Bogdan Georgiev, Javier Gómez-Serrano, Terence Tao, Adam Zsolt Wagner. #AI #Math #AlphaEvolve #ITP #LeanProver
It’s the specification, stupid! (Seeking a significant shift in the traditional software development and verification paradigm). ~ Manfred Broy, Harald Ruess, Natarajan Shankar. #FormalVerification
¿Cuál es el siguiente término? ~ Miguel Ángel Morales. #Matemáticas
#Exercitium: Mayores elementos de una matriz. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared September 9, 2025

José A. Alonso — Wed, 10 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 9 September 2025 are

Higher order differential calculus in Mathlib. ~ Sébastien Gouëzel. #ITP #LeanProver #Math
Ordinal exponentiation in homotopy type theory. ~ Tom de Jong et als. #ITP #Agda #HoTT #Math
The story of mathematics. #Math
La historia de las matemáticas: 35.000 años de números, año arriba, año abajo. ~ @Alvy. #Matemáticas
#Exercitium: Renombramiento de un árbol. #Haskell #ProgramaciónFuncional
#Exercitium: Divide si todos son múltiplos. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared May 31, 2025

José A. Alonso — Sat, 31 May 2025 04:00:00 GMT

The readings shared in Bluesky on 31 May 2025 are

Formalizing a classification theorem for low-dimensional solvable Lie algebras in Lean. ~ Viviana del Barco et als. #ITP #LeanProver #Math
Lean4Lean: Mechanizing the metatheory of Lean. ~ Mario Carneiro. #ITP #LeanProver
HoTTLean: Formalizing the meta-theory of HoTT in Lean. ~ Joseph Hua et als. #ITP #LeanProver #HoTT
Towards modular composition of inductive types using Lean meta-programming. ~ Ramy Shahin. #ITP #LeanProver
Löb’s theorem and provability predicates in Rocq. ~ Janis Bailitis1, Dominik Kirst, Yannick Forster. #ITP #Rocq #Logic #Math
A Coq formalization of Lagois connections for secure information flow. ~ Casper Stahl et als. #ITP #Coq #Rocq
Verifying Z3 RUP proofs with the interactive theorem provers Coq/Rocq and Agda. ~ Harry Bryant et als. #ITP #Coq #Rocq #Agda
Efficient program extraction in elementary number theory using the proof assistant Minlog. ~ Franziskus Wiesnet. #ITP #Minlog #Haskell #FunctionalProgramming #Math

Readings shared May 20, 2025

José A. Alonso — Tue, 20 May 2025 04:00:00 GMT

The readings shared in Bluesky on 20 May 2025 are

Formalising the Bruhat-Tits tree. ~ Judith Ludwig, Christian Merten. #ITP #LeanProver
Ordinal exponentiation in homotopy type theory. ~ Tom de Jong, Nicolai Kraus, Fredrik Nordvall Forsberg, Chuangjie Xu. #ITP #Agda #HoTT
A Python frozenset interpretation of Dependent Type Theory. ~ Philip Zucker. #TypeTheory #Python #Logic
Comparing code: LeetCode problems in Rust vs. Haskell. ~ James Bowen. #Haskell #FunctionalProgramming #Rust
Symbolic sets for proving bounds on Rado numbers. ~ Tanbir Ahmed, Lamina Zaman, Curtis Bright #SAT #Python #Math
Formatting academic papers in Emacs Orgmode. ~ Kenneth Flak. #Emacs #OrgMode

Readings shared March 7, 2025

José A. Alonso — Fri, 07 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 7 March 2025 are

A formalisation of addition chains. ~ Laurent Théry. #ITP #Coq #Rocq
QED in context (An observation study of proof assistant users). ~ Jessica Shi, Cassia Torczon, Harrison Goldstein, Benjamin C. Pierce, Andrew Head #ITP #LeanProver #Coq #Rocq
On the formalization of the simplicial model of HoTT. ~ Kunhong Du. #ITP #Agda #HoTT
A gentle introduction to categorical logic and type theory. ~ Eric Schmid. #Math #CategoryTheory #TypeTheory
MathMistake checker: A comprehensive demonstration for step-by-step math problem mistake finding by prompt-guided LLMs. ~ Tianyang Zhang et als. #LLMs #Math
A survey on Large Language Models for code generation. ~ Nam Huynh, Beiyu Lin. #LLMs #Programming
Markov chain of thought for efficient mathematical reasoning. ~ Wen Yang, Minpeng Liao, Kai Fan. #LLMs #Math #Reasoning
Assisting mathematical formalization with a learning-based premise retriever. ~ Yicheng Tao et als. #LLMs #ITP #LeanProver

Readings shared January 12, 2025

José A. Alonso — Sun, 12 Jan 2025 04:00:00 GMT

The readings shared in Bluesky on 12 January 2025 are

Readings shared January 11, 2025. #ITP #LeanProver #Coq #Rocq #Agda #FunctionalProgramming #Haskell #Python #Math #CategoryTheory #ComputerSci #Education #GenAI
Prouver que π est irrationnel avec MathComp-Analysis. ~ Reynald Affeldt. #ITP #Coq #Rocq #Math
Reconciling impredicative axiom and universe. ~ Stefan Monnier. #ITP #Coq #Rocq #HoTT
Vers une automatisation de la certification des propriétés de clôture pour Prolog. ~ Thierry Marianne, Fred Mesnard, Etienne Payet. #Prolog #LogicProgramming #LPTP
Why I chose Common Lisp. ~ Dan's Musings. #CommonLisp
Common Lisp community survey 2024 results. ~ Dan Haskin. #CommonLisp
Common Lisp. #CommonLisp

Readings shared January 6, 2025

José A. Alonso — Mon, 06 Jan 2025 04:00:00 GMT

The readings shared in Bluesky on 6 January 2025 are

Readings shared January 4, 2025. #ITP #IsabelleHOL #LeanProver #HOL_Light #Mizar #Math #Logic #Haskell #Python
Computing huge Fibonacci numbers, by proof and by code. ~ Lawrence Paulson. #ITP #IsabelleHOL
Lean: First steps (21 - Simple induction). ~ Tariq Rashid (@rzeta0@mastodon.social). #ITP #LeanProver #Lean4 #Math
Mathematicians found – and fixed – an error in a 60-year-old proof. ~ Alex Wilkins.L#selection-733.0-733.66 #ITP #LeanProver #Math
Large language models for mathematical analysis. ~ Ziye Chen, Hao Qi. #AI #LLMs #Math
On planarity of graphs in homotopy type theory. ~ Cubides, Jonathan Steven Prieto; Gylterud, Håkon Robbestad. #ITP #Agda #HoTT
Laws of quantum programming. ~ Mingsheng Ying, Li Zhou, Gilles Barthe. #ITP #Coq #Rocq #QuantumProgramming
El libro recursivo de la recursividad. ~ @Alvy. #Programación

Readings shared October 10, 2024

José A. Alonso — Thu, 10 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 10 October 2024 are

Readings shared October 9, 2024. #Haskell #FunctionalProgramming
#Exercitium: Número de ocurrencias de elementos. #Haskell
M2Lyon2425: Group theory in Lean. ~ Filippo A. E. Nuccio. #ITP #LeanProver #Lean4 #Math
A complete formalization of Fermat's Last Theorem for regular primes in Lean. ~ Riccardo Brasca, Christopher Birkbeck, Eric Rodriguez Boidi, Alex Best, Ruben van De Velde, Andrew Yang. #ITP #LeanProver #Lean4 #Math
Pointwise order of generalized Hofstadter functions G, H and beyond. ~ Pierre Letouzey, Shuo Li, Wolfgang Steiner. #ITP #Coq #Math
Finite element method. Detailed proofs to be formalized in Coq. ~ François Clément, Vincent Martin. #ITP #Coq #Math
Modelling and proving the monotonicity of processor pipelines in Coq. ~ Alban Gruin, Armelle Bonenfant, Thomas Carle, Christine Rochange. #ITP #Coq
The Karatsuba square root algorithm (in Isabelle/HOL). ~ Manuel Eberl. #ITP #IsabelleHOL #Math
Polynomial universes and dependent types. ~ C.B. Aberlé, David I. Spivak. #ITP #Agda
Formalization of homotopy pushouts in homotopy type theory. ~ Vojtěch Štěpančík. #ITP #Agda #Math #HoTT
AlphaIntegrator: Transformer action search for symbolic integration proofs. ~ Mert Ünsal, Timon Gehr, Martin Vechev. #LLMs #Math
Demostraciones por inducción en Lean. ~ Luis Turcio. #ITP #Lean4

Readings shared August 31, 2024

José A. Alonso — Sat, 31 Aug 2024 19:00:00 GMT

The readings shared in Mastodon on August 31, 2024 are

Readings shared August 30, 2024. #ITP #IsabelleHOL #Agda #Logic #Math #Nix #Haskell #FunctionalProgramming #LogicProgramming
Proofs of "If x is the supremum of set A, then (∀ y, y < x → ∃ a ∈ A, y < a) in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #Calculemus
Unifying model execution and deductive verification with interaction trees in Isabelle/HOL. ~ Simon Foster, Chung-Kil Hur & Jim Woodcock.7# #ITP #IsabelleHOL
Certification of sorting algorithms using Theorema and Coq. ~ Isabela Drămnesc, Tudor Jebelean & Sorin Stratulat. #ITP #Theorema #Coq
Investigations in graph-theoretical constructions in Homotopy Type Theory. ~ Jonathan Prieto-Cubides. #PhDThesis #ITP #Agda #HoTT