Vestigium (Publicaciones sobre LambdaCalculus)

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

Readings shared March 9, 2026

José A. Alonso — Tue, 10 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 9 March 2026 are:

Fantastic simprocs and how to write them. ~ Yaël Dillies, Paul Lezeau. #LeanProver #ITP
Formalization in Lean of faithfully flat descent of projectivity. ~ Liran Shaul. #LeanProver #ITP
Formalizing a proof in Lean using Claude Code. ~ Terence Tao. #LeanProver #ITP #AI4Math
Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature. ~ Joseph Tooby-Smith. #LeanProver #ITP #Physics
Formalizing unstable quasinormal modes and the quantum black hole bomb in Lean 4. ~ Naoki Takata. #ITP #LeanProver
Implementing dependent type theory inhabitation and unification. ~ Chase Norman, Jeremy Avigad. #LeanProver #ITP
LeanTutor: A formally-verified AI tutor for mathematical proofs. ~ Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade. #LeanProver #ITP #Math #AI4Math
Mathematicians in the age of AI. ~ Jeremy Avigad. #AI4Math #LeanProver #ITP
Shaping the future of mathematics in the age of AI. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP
Unbiasing symmetric monoidal categories in Lean. ~ Robin Carlier. #LeanProver #ITP
Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP
A topological rewriting of Tarski’s mereogeometry. ~ Richard Dapoigny. #CoqProver #ITP
Proving and computing: The infinite pigeonhole principle and countable choice. ~ Zena M. Ariola, Paul Downen, Hugo Herbelin. #RocqProver #ITP
The floor is magma. ~ Alexandre Esteves. #Haskell #FunctionalProgramming
Can the most abstract math make the world a better place? ~ Natalie Wolchover. #CategoryTheory #Math
Category theory for programming. ~ Benedikt Ahrens, Kobe Wullaert. #CategoryTheory #Haskell #LeanProver #FunctionalProgramming
Lambda calculus for dummies: The Church encoding. #LambdaCalculus #FunctionalProgramming
Emacs and Vim in the age of AI. ~ Bozhidar Batsov. #Emacs #AI
Una introducción a la programación en Emacs Lisp. ~ Robert J. Chassell, David Arroyo Menéndez. #Emacs #Lisp

Readings shared November 26, 2025

José A. Alonso — Thu, 27 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 26 November 2025 are:

Verifying numerical methods with Isabelle/HOL. ~ Dustin Bryant, Jonathan Julian Huerta y Munive, Simon Foster. #ITP #IsabelleHOL #Math
Introduction to functional programming. ~ Noam Zeilberger. #Haskell #FunctionalProgramming
First-order data types and pattern-matching ~ Noam Zeilberger. #Haskell #FunctionalProgramming
Higher-order functions and type classes. ~ Noam Zeilberger. #Haskell #FunctionalProgramming
Lambda calculus and typing. ~ Noam Zeilberger. #Haskell #FunctionalProgramming #LambdaCalculus #TypeTheory
#Exercitium: Expresiones vectoriales. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared February 22, 2025

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

The readings shared in Bluesky on 22 February 2025 are

Lambda calculus and Lisp, part 1. #LambdaCalculus #Lisp
Lambda calculus and Lisp, part 2. #LambdaCalculus #Emacs #Lisp

Readings shared February 16, 2025

José A. Alonso — Sun, 16 Feb 2025 04:00:00 GMT

The readings shared in Bluesky on 16 February 2025 are

The relationship between category theory, lambda calculus, and functional programming in Haskell. ~ Antonio Montano. #Haskell #FunctionalProgramming #CategoryTheory #LambdaCalculus
Logical reasoning in large language models: A survey. ~ Hanmeng Liu et als. #LLMs #Logic #Reasoning

Readings shared October 30, 2024

José A. Alonso — Wed, 30 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 30 October 2024 are

Readings shared October 29, 2024. #AI #XAI #LLMs #Logic #Reasoning #ASP #LogicProgramming
Lean 4 tactic cheatsheet (October 29, 2024). ~ Floris van Doorn. #ITP #Lean4
AI and Mathematics. ~ Terence Tao. #AI #Math #ITP #Lean4
A formal characterization of discrete condensed objects. ~ Dagur Asgeirsson. #ITP #Lean4 #Math
Minimal, maximal, least, and greatest elements w.r.t. restricted ordering (in Isabelle/HOL). ~ Martin Desharnais. #ITP #IsabelleHOL
Programming with Math: The lambda calculus. #LambdaCalculus
Prolog, Datalog, languages, resources, and beyond! #Prolog #ASP #LogicProgramming
Combining logic with Large Language Models for automatic debugging and repair of ASP programs. ~ Ricardo Brancas, Vasco Manquinho, Ruben Martins. #ASP #LogicProgramming #LLMs

Readings shared October 20, 2024

José A. Alonso — Sun, 20 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 20 October 2024 are

Readings shared October 20, 2024. #ITP #LeanProver #Lean4 #Math #Math #SetTheory #AI
Foreign function verification through metaprogramming. ~ Joomy Korkut. #ITP #Coq
Lecture notes on overview and the lambda calculus. ~ Jan Hoffmann. #LambdaCalculus
Course: Types and Programming Languages. ~ Jan Hoffmann. #FunctionalProgramming
An efficient propositional system for Abductive Logic Programming. ~ M. Gavanelli, P. Julián-Iranzo, F. Sáenz-Pérez. #ALP #LogicProgramming
The accepted papers for the MATH-AI workshop have been released on OpenReview. #ITP #AI #LLMs #Math

Readings shared October 15, 2024

José A. Alonso — Tue, 15 Oct 2024 04:00:00 GMT

The readings shared in Mastodon on 15 October 2024 are

Readings shared October 13, 2024. #AI #CategoryTheory #Coq #Education #FunctionalProgramming #Haskell #ITP #ITP
On using GeoGebra and ChatGPT for geometric discovery. ~ Francisco Botana, Tomás Recio, María Pilar Vélez. #GeoGebra #ChatGPT #Math #AI
Lean: First steps (12 - Odd & Even ). ~ Tariq Rashid #ITP #Lean4 #Math
Tutorial videos for the course "Lean: First Steps". ~ Tariq Rashid. #ITP #Lean4 #Math
The handshaking lemma. ~ Christoph Spiegel. #ITP #LeanProver #Lean4 #Math
Water sort in Haskell. ~ Nicolas Audinet de Pieuchon. #Haskell #FunctionalProgramming
The power of Prolog. ~ Markus Triska. #Prolog #LogicProgramming
Programación lógica con restricciones. #Prolog #LogicProgramming
Emacs para ciencias del dato. #Emacs #OrgMode
The λ-calculus, 2: The Church-Rosser theorem. ~ Lawrence Paulson. #LambdaCalculus

Readings shared September 30, 2024

José A. Alonso — Mon, 30 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on 30 September 2024 are

Readings shared September 29, 2024. #ITP #LeanProver #Lean4 #Logic #Math #Haskell #FunctionalProgramming #Prolog #ASP #LogicProgramming #AI
Introduction to the λ-calculus. ~ Lawrence C. Paulson. #LambdaCalculus
How to read Lean. ~ Martin Dvořák. #ITP #LeanProver #Math
Certifying rings of integers in number fields. ~ Anne Baanen, Alain Chavarri Villarello & Sander R. Dahmen. #ITP #Lean4 #Math

Readings shared September 14, 2024

José A. Alonso — Sat, 14 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 14, 2024 are

Readings shared September 13, 2024. #Haskell #FunctionalProgramming #LiquidHaskell #Emacs #OrgMode
AI for Mathematics: Mathematical formalized problem solving and theorem proving in different fields in Lean 4. ~ Xichen Tang. #ITP #LeanProver #Lean4 #Math
Better-performing “25519” elliptic-curve cryptography (Automated reasoning and optimizations specific to CPU microarchitectures improve both performance and assurance of correct implementation). ~ Torben Hansen, John Harrison. #ITP #HOL_Light
A simple proof that π is irrational (in Isabelle/HOL). ~ Manuel Eberl. #ITP #IsabelleHOL #Math
Decidable equality for indexed data types. ~ Brent Yorgey. #ITP #Agda #FunctionalProgramming
Why Haskell? ~ Gideon Farrell. #Haskell #FunctionalProgramming
Type-theoretic considerations in functional language software development. ~ David Michael Roberts. #Haskell #FunctionalProgramming #ITP #IsabelleHOL
Simulation of lambda terms in lambda calculus. ~ Helmut Brandl. #LambdaCalculus
Estrenando el nuevo modelo de OpenAI: o1-preview. Resolviendo con ChatGPT un problema de Matemáticas II de la Prueba de Acceso a la Universidad EBAU. ~ Luis M. Iglesias. #LLMs #Matemáticas