Vestigium (Publicaciones sobre Programming)

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 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 29, 2026

José A. Alonso — Mon, 30 Mar 2026 04:00:00 GMT

The readings shared in Bluesky on 29 March 2026 are:

Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools. ~ Jarod Alper. #AI4Math #LeanProver #ITP #Math
On the paucity of lattice triangles. ~ David Kurniadi Angdinata, Evan Chen, Ken Ono, Jiaxin Zhang, Jujian Zhang. #LeanProver #ITP #Math
Executable Gödel encodings: A verified runtime for logical syntax. ~ Adrian Diamond. #LeanProver #ITP #Logic #Math
Lean: Collaboration using formalization. ~ Floris van Doorn. #LeanProver #ITP #Math
Formalizing the sphere packing problem. ~ Maryna Viazovska. #LeanProver #ITP #Math
A Lean formalisation of sphere packing in dimension 8. ~ Siddharth Hariharan. #LeanProver #ITP #Math
Autoformalization: A year of progress. ~ Auguste Poiroux. #AI4Math #LeanProver
Videos of talks at Swiss Mathematical Society Spring Meeting "Formalization and Proof Assistants" at UniDistance Suisse, 27/03/2026. #LeanProver
Formally verifying digital circuits with category theory in Lean. ~ Matt Hunzinger. #LeanProver #ITP #CategoryTheory
Shaping the future of mathematics in the age of AI. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP
What happens when AI starts checking mathematicians’ work. ~ Manon Bischoff. #AI4Math #LeanProver
As AI keeps improving, mathematicians struggle to foretell their own future. ~ Joseph Howlett. #AI4Math #LeanProver
Mathematics in the library of Babel. ~ Daniel Litt. #AI4Math
Claude, mon ami (Eine intellektuelle romanze). ~ Martin Burckhardt. #AI #Programming

Readings shared February 4, 2026

José A. Alonso — Thu, 05 Feb 2026 04:00:00 GMT

The readings shared in Bluesky on 4 February 2026 are:

"Five-Point Haskell": Total depravity (and defensive typing). ~ Justin Le. #Haskell #FunctionalProgramming
'Sets' revisited: Working with a large category in Isabelle/HOL. ~ Eugene W. Stark. #ITP #IsabelleHOL
A conversation on the future of mathematics. ~ Emily Riehl, Jesse Han, Jared Duker Lichtman. #ITP #LeanProver #Math
Calling Lean functions as Python functions. ~ Philip Zucker. #ITP #LeanProver #Python
Commutative algebras of series. ~ Lorenzo Clemente. #ITP #Agda #Math
Construction-verification: A benchmark for applied mathematics in Lean 4. ~ Bowen Yang et als. #AI4Math #ITP #LeanProver
Flow-based extremal mathematical structure discovery. ~ Gergely Bérczi, Baran Hashemi, Jonas Klüver. #AI4Math
Formalization of non-Archimedean functional analysis 1: spherically complete spaces. ~ Yijun Yuan. #ITP #LeanProver #Math
Hello, Haskell: Getting started in 2026. ~ Lukasz Tymoszczuk. #Haskell #FunctionalProgramming
Irrationality of rapidly converging series: a problem of Erdős and Graham. ~ Kevin Barreto, Jiwon Kang, Sang-hyun Kim, Vjekoslav Kovač, Shengtong Zhang. #AI4Math
LeanArchitect: Automating blueprint generation for humans and AI. ~ Thomas Zhu, Pietro Monticone, Jeremy Avigad, Sean Welleck. #AI4Math #ITP #LeanProver
Mechanized undecidability of higher-order beta-matching. ~ Andrej Dudenhefner. #ITP #CoqProver
Principles of programming languages. ~ Kristopher Micinski. #Programming #RacketLang
Propositional logic proofs using Lean 4. ~ Kaue Silveira. #ITP #LeanProver #Logic #Math
Recent advances in LLMs for mathematics. ~ Sebastien Bubeck. #AI4Math
Semi-autonomous mathematics discovery with Gemini: A case study on the Erdős problems. ~ Tony Feng et als. #AI4Math #ITP #LeanProver
The Leibniz adjunction in homotopy type theory, with an application to simplicial type theory. ~ Tom de Jong, Nicolai Kraus, Axel Ljungström. #ITP #Agda
The evolution of a Lean programmer. #ITP #LeanProver #FunctionalProgramming

Readings shared November 25, 2025

José A. Alonso — Wed, 26 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 25 November 2025 are:

Formalizing computational paths and fundamental groups in Lean. ~ Arthur F. Ramos, Anjolina G. de Oliveira, Ruy J. G. B. de Queiroz, Tiago M. L. de Veras. #ITP #LeanProver
REAL-Prover: Retrieval augmented lean prover for mathematical reasoning. ~ Ziju Shen et als. #ITP #LeanProver #LLMs #Math
MiniF2F in Rocq: Automatic translation between proof assistants (A case study). ~ Jules Viennot, Guillaume Baudart, Emilio Jesùs Gallego Arias, Marc Lelarge. #AI #Math #ITP #Rocq #LeanProver #IsabelleHOL #LLMs
Software never fails. ~ kqr. #Programming
#Exercitium: Expresiones aritmética normalizadas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared November 19, 2025

José A. Alonso — Thu, 20 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 19 November 2025 are:

An introduction to formal real analysis (Lecture 20: Limits and continuity of functions). ~ Alex Kontorovich. #ITP #LeanProver #Math
Structuring definitions in mathematical libraries. ~ Alena Gusakov, Peter Nelson, Stephen Watt. #ITP #LeanProver #Math
Pre*: The predecessors of a regular language w.r.t. a context-free grammar, with applications (in Isabelle/HOL). ~ Tassilo Lemke, Tobias Nipkow. #ITP #IsabelleHOL
10 developer habits that separate good programmers from great ones. ~ TheBitForge. #Programming
#Exercitium: Particiones de longitud fija. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared November 18, 2025

José A. Alonso — Wed, 19 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 18 November 2025 are:

Teaching real analysis as a game. ~ Alex Kontorovich. #ITP #LeanProver #Math
Are automated proof assistants ready for semigroup research? Orientation-preserving mappings and proof assistant Lean. ~ Alastair Litterick, Alexei Vernitski, Billy Woods. #ITP #LeanProver #Math
Lispy sets in CHICKEN Scheme. ~ Peter Bex.f#page=36 #Scheme #FunctionalProgramming
Evaluating autoformalization robustness via semantically similar paraphrasing. ~ Hayden Moore, Asfahan Shah. #AI #Math #Autoformalization #ITP #LeanProver
«Paged Out!»: una revista en PDF sobre programación, donde con un artículo por página sobra. ~ @Alvy #Programming
Universidad e Inteligencia Artificial: realidad, retos y expectativas de la aplicación de la IA en las universidades españolas. ~ Teodoro Luque, Lucia Porcu, Isamel García Varea y Iñaki Fuertes Tudanca. #IA #Universidad
#Exercitium: Evaluación de árboles de expresiones aritméticas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared October 29, 2025

José A. Alonso — Thu, 30 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 29 October 2025 are:

Formalizing Schwartz functions and tempered distributions. ~ Moritz Doll. #ITP #LeanProver #Math
1000+ theorems (The spiritual successor of Freek’s list of 100 theorems. Now with more than 1000 theorems!). ~ Katja Berčič et als. #Math #ITP #IsabelleHOL #HOL_Light #Rocq #LeanProver #Metamath #Mizar
Combining textual and structural information for premise selection in Lean. ~ Job Petrovčič, David Eliecer Narvaez Denis, Ljupčo Todorovski. #AI #Math #ITP #LeanProver
Martin Davis: An overview of his work in logic, computer science, and philosophy. ~ Liesbeth De Mol, Yuri V. Matiyasevich, Eugenio G. Omodeo, Alberto Policriti, Wilfried Sieg, Elaine J. Weyuker. #Logic #Math #CompSci
Freshman’s dream. ~ John D. Cook. #Math #Python #Programming
The reasons AI may act secretive (Trained to reflect human behavior, AI models may share half-truths or purposely omit information). ~ Jennifer Goforth Gregory. #AI
In search of better search (Does AI improve, or misdirect, search engines and their results?). ~ Samuel Greengard. #GenAI
#Exercitium: Suma de todos los anteriores. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared October 13, 2025

José A. Alonso — Tue, 14 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 13 October 2025 are:

PVS formalization of proofs of the infinitude of primes. ~ Bruno Berto de Oliveira Ribeiro. #ITP #PVS #Math
Certified decision procedures for width-independent bitvector predicates. ~ Siddharth Bhat, Léo Stefanesco, Chris Hughes, Tobias Grosser. #ITP #LeanProver
Interactive theorem provers for proof education. ~ Romina Mahinpei, Manoel Horta Ribeiro, Mae Milano. #ITP #CoqProver #Teaching
Pyrosome: Verified compilation for modular metatheory. ~ Dustin Jamner, Gabriel Kammer, Ritam Nag, Adam Chlipala. #ITP #CoqProver
Incremental certified programming. ~ Tomás Díaz, Kenji Maillard, Nicolas Tabareau, Éric Tanter. #ITP #Rocq
Proof repair across quotient type equivalences. ~ Cosmo Viola, Max Fan, Talia Ringer. #ITP #Rocq
Don’t call us, we’ll call you (Towards mixed-initiative interactive proof assistants for programming language theory). ~ Jan Liam Verter, Tomas Petricek. #ITP #Teaching
Synthesizing implication lemmas for interactive theorem proving. ~ Ana Brendel, Aishwarya Sivaraman, Todd Millstein. #ITP #Rocq
Deriving an Erlang interpreter from a mechanised formal semantics of core Erlang. ~ Gergő Lajos Turán, Arsenii Fomin, Péter Bereczky, Dániel Horpácsi, Simon Thompson. #ITP #Agda #FunctionalProgramming #Erlang
Checking a denotational semantics of Scheme in Agda. ~ Peter D. Mosses. #ITP #Agda
Mechanised proofs of atom exhaustion in Erlang. ~ Arsenii Fomin, Péter Bereczky, Dániel Horpácsi, Gergő Lajos Turán. #ITP #Rocq
Formalizing the zigzag construction of path spaces of pushouts. ~ Vojtěch Štěpančík. #ITP #Agda
Unification modulo isomorphisms between dependent types for type-based library search. ~ Satoshi Takimoto, Sosuke Moriguchi, Takuo Watanabe. #Haskell #FunctionalProgramming
Representing data structures with invariants in Haskell: The cases of BST and AVL. ~ Nicolas Rodriguez, Alberto Pardo, Marcos Viera. #Haskell #FunctionalProgramming
A formalization of opaque definitions for a dependent type theory. ~ Nils Anders Danielsson, Eve Geng. #ITP #Agda #FunctionalProgramming
The conatural numbers form an exponential commutative semiring. ~ Szumi Xie, Viktor Bense. #ITP #Agda #FunctionalProgramming
A tale of two lambdas: A haskeller’s journey into OCaml. ~ Richard A. Eisenberg. #Haskell #OCaml #FunctionalProgramming
A Clash course in solving Sudoku (Functional pearl). ~ Gergő Érdi. #Haskell #FunctionalProgramming
The calculated typer (Functional pearl). ~ Zac Garby, Patrick Bahr, Graham Hutton. #Haskell #FunctionalProgramming
Plinth: A plugin-powered language built on Haskell. ~ Ziyang Liu, Kenneth MacKenzie, Roman Kireev, Michael Peyton Jones, Philip Wadler, Manuel Chakravarty. #Haskell #FunctionalProgramming
Rebound: Efficient, expressive, and well-scoped binding. ~ Noé De Santo, Stephanie Weirich. #Haskell #FunctionalProgramming
Total type classes. ~ Robert Weingart, Nicolas Wu. #Haskell #FunctionalProgramming
Automatic C bindings generation for Haskell. ~ Travis Cardwell, Sam Derbyshire, Edsko de Vries, Dominik Schrempf. #Haskell #FunctionalProgramming
Lightweight testing of persistent amortized time complexity in the credit monad. ~ Anton Lorenzen. #Haskell #FunctionalProgramming
Freer arrows and why you need them in Haskell. ~ Grant VanDomelen, Gan Shen, Lindsey Kuper, Yao Li. #Haskell #FunctionalProgramming
Staging automatic differentiation with fusion. ~ Samuel Klumpers, Tom Schrijvers. #Haskell #FunctionalProgramming
An empirical evaluation of property-based testing in Python. ~ Savitha Ravi, Michael Coblenz. #Python #Programming

Readings shared October 10, 2025

José A. Alonso — Sat, 11 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 10 October 2025 are:

Markov kernels in Mathlib's probability library. ~ Rémy Degenne. #ITP #LeanProver #Math
Relational divisibility (in Isabelle/HOL). ~ Walter Guttmann. #ITP #IsabelleHOL #Math
ADTs, functions and induction. ~ Andrei Arusoaie. #ITP #LeanProver #FunctionalProgramming
Principles of programming languages (lecture notes for CS2105O2). ~ Andrei Arusoaie. #ITP #CoqProver
Principles of programming languages: A little bit of history. ~ Andrei Arusoaie. #Programming
Formal methods in software engineering. ~ Andrei Arusoaie. #FormalMethods
Languages. Formal Systems. Inference rules. Proofs. ~ Andrei Arusoaie. #FormalMethods #Logic #Dafny
Mathematicians’ new best friend? ~ Benjamin Skuse. #AI #Math
#Exercitium: Sustitución en una expresión aritmética. #Haskell #ProgramaciónFuncional #Matemáticas