Vestigium (Publicaciones sobre Calculemus)

Readings shared March 28, 2025

José A. Alonso — Fri, 28 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 28 March 2025 are

A gentle introduction to Isabelle and Isabelle/HOL. ~ Gunnar Teege. #ITP #IsabelleHOL
Verified collaboration: How Lean is transforming mathematics, programming, and AI. ~ Leonardo de Moura. #ITP #LeanProver #Math #Programming #AI
The philosophical problem of induction, and the problem of Fetzer. ~ Lawrence Paulson. #Philosophy #Math #CompSci
#Exercitium: Emparejamiento binario. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "(s \ t) ∪ t = s ∪ t". #LeanProver #IsabelleHOL #Math #Calculemus
Curso "Lógica informática (2009-10)". #Lógica #Matemática #Computación
Temas de "Lógica informática" (2009-10). #Logic #Math #CompSci
Ejercicios de "Lógica informática" (2009-10). #Logic #Math #CompSci
Soluciones de exámenes de Lógica informática (2000-07). #Logic #Math #CompSci
Curso "Programación declarativa (2009-10)". #Haskell #FunctionalProgramming #Prolog #LogicProgramming
Temas de "Programación funcional con Haskell" (2009-10). #Haskell #FunctionalProgramming
Introducción a la programación lógica con Prolog. #Prolog #LogicProgramming
Ejercicios de programación funcional con Haskell (versión del 20 de septiembre de 2007). #Haskell #FunctionalProgramming
Ejercicios de programación lógica con Prolog (Versión de 20 de septiembre de 2007). #Prolog #LogicProgramming

Readings shared March 22, 2025

José A. Alonso — Sat, 22 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 22 March 2025 are

Non-obvious Haskell idiom: Guard-sequence. ~ kqr. #Haskell #FunctionalProgramming
Learn Haskell by example. ~ Phillip Hagenlocher. #Haskell #FunctionalProgramming
#Exercitium: Segmentos maximales con elementos consecutivos. #Haskell #ProgramaciónFuncional
Demostraciones con Lean4 y con Isabelle/HOL de "(s ∩ t) ∪ (s ∩ u) ⊆ s ∩ (t ∪ u)". #LeanProver #IsabelleHOL #Math #Calculemus

Readings shared December 2, 2024

José A. Alonso — Mon, 02 Dec 2024 04:00:00 GMT

The readings shared in Bluesky on 2 December 2024 are

Readings shared December 1, 2024. #ITP #IsabelleHOL #Math
Proofs of "If uₙ tends to a y vₙ tends to b, then uₙvₙ tends to ab" in Lean4. #ITP #Lean4 #Math #Calculemus
Lean: First steps (15 - Zero product). ~ Tariq Rashid. #ITP #Lean4 #Math
Lean: First steps (16 - Writing our own lemma). ~ Tariq Rashid. #ITP #Lean4 #Math
Category theory in programming. ~ Noah Ma. #CategoryTheory #Math #Racket #FunctionalProgramming

Readings shared November 29, 2024

José A. Alonso — Fri, 29 Nov 2024 04:00:00 GMT

The readings shared in Bluesky on 29 November 2024 are

Readings shared November 28, 2024. #ITP #IsabelleHOL #Logic #Math #Haskell #FunctionalProgramming
Proof of "If the limit of the sequence u(n) is a and c ∈ ℝ, then the limit of u(n)c is ac" in Lean4. #ITP #Lean4 #Math #Calculemus
Machine learning and mathematics (The twin catalysts poised to accelerate twenty-first century mathematics: formalisation and machine learning). ~ Harald Carlens. #Math #ITP #Lean4 #MachineLearning #LLMs #AIMO #AlphaProof #AlphaGeometry
Deep embedding of intuitionistic linear logic. ~ Filip Smola, Jacques D. Fleuriot. #ITP #IsabelleHOL #Logic #Math
Brillo: Painless 2D vector graphics, animations, and simulations powered by GLFW (Fork of gloss). ~ Adrian Sieber. #Haskell #FunctionalProgramming
Effectiveness of Large Language Models to generate formally verified C code. ~ Merlijn Sevenhuijsen. #LLMs #Programming #FormalVerification
dafny-annotator: AI-assisted verification of Dafny programs. ~ Gabriel Poesia, Chloe Loughridge, Nada Amin. #LLMs #Dafny #FormalVerification

Readings shared October 7, 2024

José A. Alonso — Mon, 07 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 7 October 2024 are

Readings shared October 6, 2024. #ITP #LeanProver #Logic #Math #AI #Python
Proofs of the pigeonhole principle in Lean4. #ITP #Lean4 #Math #Calculemus
Formalizing MLTL formula progression in Isabelle/HOL. ~ Katherine Kosaian, Zili Wang, Elizabeth Sloan, Kristin Rozier. #ITP #IsabelleHOL #Logic
Repo for the first BerLean workshop. #ITP #Lean4 #Math
Re-invention of group/ring algebra in Lean 4 for learning purposes. ~ Eugene Zolotarev. #ITP #Lean4 #Math
Introduction to mathematical arguments (background handout for courses requiring proofs). ~ Michael Hutchings. #Logic #Math
How to write proofs: a quick guide. ~ Eugenia Cheng. #Logic #Math
Notes on math proof. ~ Bruce Ikenaga. #Logic #Math
Proof writing and presentation tips. ~ Erika L.C. King. #Logic #Math
How to write mathematics. ~ Martin Erickson. #Logic #Math
Advice on mathematical writing. ~ Keith Conrad. #Math
Examples of proofs by induction. ~ Keith Conrad. #Math
An introduction to proofs and the mathematical vernacular. ~ Martin V. Day. #Math
Conventions for writing mathematical proofs. ~ John M. Lee. #Math
TheoremLlama: Transforming general-purpose LLMs into Lean4 experts. ~ Ruida Wang, Jipeng Zhang, Yizhen Jia, Rui Pan, Shizhe Diao, Renjie Pi, Tong Zhang. #ITP #Lean4 #LLMs

Readings shared October 4, 2024

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

The readings shared in Mastodon on 4 October 2024 are

Readings shared October 3, 2024. #ITP #LeanProver #Lean4 #IsabelleHOL #Math #Haskell #FunctionalProgramming
Proofs of "If f ∘ f is bijective, then f is bijective" in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #Calculemus
Abstract substitution (in Isabelle/HOL). ~ Martin Desharnais. #ITP #IsabelleHOL
Discrete Math. ~ Mohamed Jamaloodeen, Kathy Pinzon, Daniel Pragel, Joshua Roberts & Sebastien Siva. #Math #Python

Readings shared September 25, 2024

José A. Alonso — Wed, 25 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 25, 2024 are

Readings shared September 24, 2024. #ITP #Lean4 #IsabelleHOL #Coq #Logic #Math #SetTheory #Haskell #FunctionalProgramming #AI #LLMs
Proofs of the Brahmagupta-Fibonacci identity in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #Calculemus
M2Lyon2425: Sets and functions (1). ~ Filippo A. E. Nuccio. #ITP #LeanProver #Lean4 #Math
Cambridge combinatorics in Lean (Formalisation of the Cambridge combinatorics courses). ~ Yaël Dillies. #ITP #LeanProver #Lean4 #Math
The Matrix Cookbook, using Lean's mathlib. ~ Eric Wieser. #ITP #LeanProver #Lean4 #Mathlib #Math
Math-Haskell Rosetta Stone - Part 1. ~ Daniel Brice. #Haskell #FunctionalProgramming

Readings shared September 20, 2024

José A. Alonso — Fri, 20 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 20, 2024 are

Readings shared September 19, 2024. #ITP #Coq #Math #Haskell #FunctionalProgramming #Logic #AI
Proofs of "∑i<n. i = n(n-1)/2" in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #CaWlculemus
Extending Isabelle/HOL's code generator with support for the Go programming language. ~ Terru Stübinger & Lars Hupel. #ITP #IsabelleHOL #GoLang
Mapping probability with logic: First order models in puzzle solving. ~ Adrian Groza. #ATP #Prover9 #Mace4

Readings shared September 10, 2024

José A. Alonso — Tue, 10 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 10, 2024 are

Readings shared September 9, 2024. #ITP #Lean4 #IsabelleHOL #Math #Calculemus #Prolog #LogicProgramming #Python
Proofs of 0³+1³+2³+3³+···+n³ = (n(n+1)/2)² in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #Calculemus
#Exercitium: Sumas de dos abundantes. #Haskell #Python #Matemáticas
Types as interfaces. ~ Chris. #Haskell #FunctionalProgramming

Readings shared September 9, 2024

José A. Alonso — Mon, 09 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 9, 2024 are

Readings shared September 8, 2024. #ITP #Agda #Math #Haskell #FunctionalProgramming
Proofs of "a+aq+aq²+···+aqⁿ = a(1-qⁿ⁺¹)/(1-q)" in Lean4 and Isabelle/HOL. #ITP #Lean4 #IsabelleHOL #Math #Calculemus
Describing a knight's tour with Prolog. ~ Markus Triska. #Prolog #FunctionalProgramming
String Knuth Bendix. ~ Philip Zucker. #Math #Python