Vestigium (Publicaciones sobre SMT)

Readings shared December 29, 2025

José A. Alonso — Tue, 30 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 29 December 2025 are:

Hint-based SMT proof reconstruction. ~ Joshua Clune, Haniel Barbosa, Jeremy Avigad. #ITP #LeanProver #SMT
The biggest controversy in maths could be settled by a computer. Alex Wilkins. #ITP #LeanProver #Math
Report on the current situation surrounding inter-universal Teichmüller theory (IUT). ~ Shinichi Mochizuki. #Math #ITP #LeanProver
The machine-checked complete formalization of Landau’s foundations of analysis in Rocq. ~ Yue Guan, Yaoshun Fu, Xiangtao Meng. #ITP #Rocq #Math
Formal verification of Borrow-Checking by local commutation diagrams. ~ Alban Reynaud Michez. #ITP #Rocq
The unnegatable loop: Tetralemma's performative geometry (with Coq-verification). ~ Siegfried Meister. #ITP #CoqLang
Une sémantique de Kahn mécanisée pour les machines à états. ~ Timothy Bourke, Paul Jeanmaire, Marc Pouzet. #ITP #Rocq
Algebraizing higher-order effects. ~ Martin Andrieux, Alan Schmitt. #ITP #Agda
NAMOR: a new Agda library for modal extended sequents. ~ Riccardo Borsetto, Margherita Zorzi. #ITP #Agda
Formalisation de la stabilité de l’erreur d’estimation de l’inclinaison d’un robot. ~ Lynda Bentoucha, Reynald Affeldt. #ITP #Rocq
Tacq: Context aware tactic recommendation for Rocq. ~ Jules Viennot, Guillaume Baudart, Emilio Jesús Gallego Arias, Marc Lelarge, Theo Stoskopf. #ITP #Rocq
Assignments and strategies in democratic forking analysed with Isabelle/HOL. ~ Jan-Georg Smaus. #ITP #IsabelleHOL
Dynamic pushdown networks (in Isabelle/HOL). ~ Peter Lammich. #ITP #IsabelleHOL
Set reconciliation (in Isabelle/HOL). ~ Paul Hofmeier, Emin Karayel. #ITP #IsabelleHOL
On the design and implementation of Modular Explicits. ~ Samuel Vivien, Didier Rémy, Gabriel Scherer. #OCaml #FunctionalProgramming
Mapping and explaining syntax errors with LRgrep. ~ Frédéric Bour, François Pottier. #OCaml #FunctionalProgramming
Cairn : Trouver son chemin dans Menhir. ~ Vincent Penelle. #OCaml #FunctionalProgramming
Advent of Code 2025: Haskell solution reflections for all 12 days. ~ Justin Le. #Haskell #FunctionalProgramming
Carnap: a free and open software framework written in Haskell for teaching and studying formal logic. #Haskell #FunctionalProgramming #Logic
Vibe reasoning: Eliciting frontier AI mathematical capabilities (A case study on IMO 2025 Problem 6). ~ Jiaao Wu, Xian Zhang, Fan Yang, Yinpeng Dong. #AI #Math
Advice for amateur mathematicians on writing and publishing papers. ~ Henry Cohn. #Math
#Exercitium: Listas disjuntas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared December 5, 2025

José A. Alonso — Sat, 06 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 5 December 2025 are:

Formalization of Erdős problems. ~ Boris Alexeev. #ITP #LeanProver #Math #Autoformalization
A Rocq formalization of monomial and graded orders. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero. #ITP #Rocq #Math
Certified G2 manifold construction. ~ Brieuc de La Fournière. #ITP #LeanProver
Automated reasoning for uncertain Markov processes. ~ Muhammad Maaz. #ATP #SMT #Z3
Haskell is a great language for data science. ~ Jonathan Carroll. #Haskell #FunctionalProgramming #DataScience #Rstats
Reseña de «Formalization of Erdős problems». #ITP #LeanProver #Math #Autoformalization
#Exercitium: Normalización de expresiones aritméticas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared September 22, 2025

José A. Alonso — Tue, 23 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 22 September 2025 are:

Formalizing dimensional analysis using the Lean theorem prover. ~ Maxwell P. Bobbin et als. #ITP #LeanProver
Computationally-sound symbolic cryptography in Lean. ~ Stefan Dziembowski et als. #ITP #LeanProver
Formal verification of the Euler Sieve via Lean. ~ Isaac (Rucheng) Li. #ITP #LeanProver #Math
Lean-auto: An interface between Lean 4 and automated theorem provers (video). ~ Yicheng Qian, Joshua Clune, Clark Barrett, Jeremy Avigad. #ITP #LeanProver #ATP #SMT
Determination of the fifth Busy Beaver value. ~ Justin Blanchard et als. #ITP #CoqProver #Rocq
Discovering new theorems via LLMs with in-context proof learning in Lean. ~ Kazumi Kasaura et als. #ITP #LeanProver #Math #LLMs
Refinement-types driven development: A study. ~ Facundo Domínguez, Arnaud Spiwack. #FunctionalProgramming #Liquid #Haskell #SMT
Feeling cranky about AI and CS education. ~ Valerie Barr. #AI #CompSci #Education
AWS scientist: Your AI strategy needs mathematical logic. ~ Byron Cook. #AI #LLMs #Logic #Math #ATP #ITP
#Exercitium: Producto cartesiano de una familia de conjuntos. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared September 17, 2025

José A. Alonso — Thu, 18 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 17 September 2025 are:

Formalizing dimensional analysis using the Lean theorem prover. ~ Maxwell P. Bobbin, Colin Jones, John Velkey, Tyler R. Josephson. #ITP #LeanProver
Claude can (sometimes) prove it. ~ Mike Dodds. #ITP #LeanProver #Math #AI #LLMs #Claude
Structuring definitions in mathematical libraries. ~ Alena Gusakov, Peter Nelson, Stephen Watt. #ITP #LeanProver #Math
A blueprint for the formalization of Carleson’s theorem on convergence of Fourier series. ~ Lars Becker et als. #ITP #LeanProver #Math
Formalization of the internal language of a topos. ~ Johannes Folttmann. #ITP #LeanProver #Math
The meta-principle: A tautological foundation for physics. ~ Jonathan Washburn. #ITP #LeanProver #Physics
Łukasiewicz logic with actions for neural networks training. ~ Ioana Leuştean, Bogdan Macovei. #ITP #LeanProver
Towards automated mathematical discovery. ~ Aaron Courville, Navin Goyal. #AI #Math #LLMs #ITP #LeanProver
Sketchpad: A high-precision and easy-to-use system for automatic formal sketch generation. ~ Wenda Li, Luo Mai, Larry Paulson, Huajian Xin. #AI #Math #ITP #IsabelleHOL #LeanProver
Scalable theorem proving via mathematical databases. ~ Christopher Birkbeck, David Roe, Andrew Sutherland. #AI #Math #ITP #LeanProver
Learning to do math with vampires and spiders. ~ Andrei Voronkov, Michael Rawson. #ITP #LeanProver #Rocq
GNN-SMT: A consortium based proof automation for Lean 4. ~ Clark Barrett, Leni Aniva, Abdalrhman Mohamed, Harun Khan. #ITP #LeanProver #SMT
Game over or QED? (For taking the Lean Game Server to the next level). ~ Marcus Zibrowius. #ITP #LeanProver
Domain specific (Documentation for Mathlib). ~ John Talbot, Richard M. Hill. #ITP #LeanProver #Mathlib
Document-level autoformalization. ~ Antoine Bosselut, Viktor Kunčak, Maryna Viazovska. #AI #Math #ITP #LeanProver #Autoformalization
Databases of structured motivated proofs. ~ Timothy Gowers, Anand Rao, Anshula Gandhi, Jacob Loader, Jovan Gerbscheid, Jonas Bayer. #AI #Math #ITP #LeanProver
Constraining LLMs for theorem proving (A neurosymbolic approach to guaranteed autoformalization). ~ Eleonora Giunchiglia, Sam Adam-Day, Joshua Ong, Mihaela Cătălina Stoian, Luca Andolfi. #AI #Math #LLMs #ITP #LeanProver #Autoformalization
Bridging proof and computation (For a verified Lean–Macaulay2 interface). ~ Matthew Ballard, Anton Leykin, Damiano Testa, Michael Stillman. #AI #Math #ITP #LeanProver #CAS #Macaulay2
A structured representation of tactics for machine-assisted theorem proving. ~ Jade Master, Vincent Wang-Maścianica, Zanzi Mihejevs, Bruno Gavranović, Andre Videla, Dylan Braithwaite. #AI #Math #ITP #LeanProver
A dataset of modern formalized theorem statements. ~ Kevin Buzzard. #ITP #LeanProver #Math
An AI-focused tactic for language learning. ~ Robert Y. Lewis. #AI #Math #ITP #LeanProver
Quantum structures and functional programming. ~ Jerzy Karczmarczuk. #Haskell #FunctionalProgramming
Plinth: A plugin-powered language built on Haskell (Experience report). ~ Ziyang Liu, Kenneth MacKenzie, Roman Kireev, Michael Peyton Jones, Philip Wadler, Manuel Chakravarty. #Haskell #FunctionalProgramming

Readings shared June 11, 2025

José A. Alonso — Thu, 12 Jun 2025 06:16:00 GMT

The readings shared in Bluesky on 11 June 2025 are

LeanTutor: A formally-verified AI tutor for mathematical proofs. ~ Manooshree Patel et als. #ITP #LeanProver #Math #AIforMath #Teaching
Common Lean pitfalls. ~ Niels Voss. #ITP #LeanProver
Rewriting SymCrypt in Rust to modernize Microsoft’s cryptographic library. ~ Brenda Potts. #ITP #LeanProver #RustLang
Z3Guide: A scalable, student-centered, and extensible educational environment for logic modeling. ~ Ruanqianqian Huang, Ayana Monroe, Peli de Halleux, Sorin Lerner, Nikolaj Bjørner. #Logic #SMT #Z3 #Teaching
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
El futuro del razonamiento matemático: Integrando IA y Lean. #IA #ITP #LeanProver #Math #AIforMath
Reseña de 'LeanTutor: A formally-verified AI tutor for mathematical proofs'. #ITP #LeanProver #Math #AIforMath #Teaching

Readings shared April 19, 2025

José A. Alonso — Sat, 19 Apr 2025 04:00:00 GMT

The readings shared in Bluesky on 19 April 2025 are

Knuckledragger: A low barrier proof assistant. ~ Philip Zucker. #ITP #SMT #Z3 #Python
Neural theorem proving tutorial. ~ Sean Welleck. #MachineLearning #ITP #LeanProver
Listing prime numbers periodically. ~ Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin. #Math #Algorithms
#Exercitium: Ordenada cíclicamente. #Haskell #ProgramaciónFuncional
#Calculemus: Demostraciones con Lean4 y con Isabelle/HOL de "f[s ∩ t] ⊆ f[s] ∩ f[t]". #LeanProver #IsabelleHOL #Math

Readings shared April 7, 2025

José A. Alonso — Mon, 07 Apr 2025 04:00:00 GMT

Verified program extraction in number theory: The fundamental theorem of arithmetic and relatives. ~ Franziskus Wiesnet. #ITP #Minlog #Haskell #FunctionalProgramming #Math
Central limit theorem in Lean. ~ Rémy Degenne. #ITP #LeanProver #Math
Prime number theorem and more in Lean. ~ Alex Kontorovich. #ITP #LeanProver #Math
Formalizing value distribution theory in Lean. ~ Stefan Kebekus. #ITP #LeanProver #Math
Learn Lean 4 with PLFA (Programming Language Foundations in Agda) proofs. ~ rami3l. #ITP #LeanProver
Chandra-Furst-Lipton (A digitisation of the number on the forehead model in Lean). ~ Yaël Dillies. #ITP #LeanProver #Math
Toric varieties in Lean (Formalisation of toric varieties in Lean 4). ~ Yaël Dillies, Paul Lezeau, Patrick Luo, Michał Mrugała, Justus Springer, Andrew Yang. #ITP #LeanProver #Math
Arithmetic progressions - almost periodicity (A digitisation of the Kelley-Meka bound on Roth numbers in Lean). ~ Thomas Bloom, Yaël Dillies. #ITP #LeanProver #Math
Lecture notes for an introductory course in group theory. ~ Ben Selfridge. #ITP #LeanProver #Math
Stronger SMT solvers for proof assistants (Proofs, quantifier simplification, strategy schedules). ~ Hans-Jörg Schurr. #ATP #SMT #ITP #IsabelleHOL
An introduction to typeclass metaprogramming. ~ Alexis King. #Haskell #FunctionalProgramming
meta_predicate declarations. ~ Markus Triska. #Prolog #LogicProgramming
#Exercitium: Elementos de una matriz con algún vecino menor. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "f(s) ⊆ u ↔ s ⊆ f⁻¹(u)". #LeanProver #IsabelleHOL #Math #Calculemus
Curso "Lógica matemática y fundamentos (2011-12)". #Lógica #Haskell #ProgramaciónFuncional

Readings shared April 1, 2025

José A. Alonso — Tue, 01 Apr 2025 04:00:00 GMT

The readings shared in Bluesky on 1 April 2025 are

A small Prolog on the Z3 AST. ~ Philip Zucker. #Prolog #LogicProgramming #Z3 #SMT
STP: Self-play LLM theorem provers with iterative conjecturing and proving. ~ Kefan Dong, Tengyu Ma. #AI #LLMs #ITP #LeanProver
The disconnect between AI benchmarks and math research (Evaluating AI systems on their ability to be a mathematical copilot). ~ Ralph Furman. #AI #LLMs #Math
The cultural divide between mathematics and AI (A reflection on cultural differences observed at the 2025 Joint Mathematics Meeting). ~ Ralph Furman. #AI #LLMs #Math
#Exercitium: Número de pares de elementos adyacentes iguales en una matriz. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "s ∩ ⋃_i A(i) = ⋃_i (A(i) ∩ s)". #LeanProver #IsabelleHOL #Math #Calculemus
Curso "Razonamiento automático (2010-11)". #ITP #IsabelleHOL #Logic #Math
Deducción natural en lógica proposicional con Isabelle/HOL. #Lógica #IsabelleHOL
Deducción natural en lógica de primer orden con Isabelle/HOL. #Lógica #IsabelleHOL
Introducción a la demostración asistida por ordenador con Isabelle/HOL (versión de 7 de agosto de 2010). #ITP #IsabelleHOL

Readings shared March 21, 2025

José A. Alonso — Fri, 21 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 21 March 2025 are

Case study: Verified Vampire proofs in the LambdaPi-calculus modulo. ~ Anja Petković Komel, Michael Rawson, Martin Suad. #ATP #Vampire #Dedukti
A hundred pull requests for Liquid Haskell. ~ Facundo Domínguez. #Liquid #Haskell #FunctionalProgramming #SMT
Artificial intelligence learns to reason. ~ Melanie Mitchell. #AI #LLMs #Reasoning
#Exercitium: Lista cuadrada. #Haskell #ProgramaciónFuncional
Demostraciones de "(a ∖ b) ∖ c ⊆ a ∖ (b ∪ c)" con Lean4 y con Isabelle/HOL. #LeanProver #IsabelleHOL #Math #Calculemus
Curso "Lógica informática (2008-09)". #Lógica #Matemática #Computación
Curso "Programación declarativa (2008-09)". #ProgramaciónFuncional #Haskell #ProgramaciónLógica #Prolog

Readings shared March 18, 2025

José A. Alonso — Tue, 18 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 18 March 2025 are

Lessons learned with the Z3 SAT/SMT solver. ~ John D. Cook. #SMT #Z3
Teaching logic programming: a review. ~ Serhiy O. Semerikov, Iryna S. Mintii, Natalia V. Moiseienko. #LogicProgramming #Prolog #ASP #CLP #Datalog
Series vs. streams. ~ Joe Marshall. #CommonLisp
#Exercitium: Suma si todos los valores son justos. #Haskell #ProgramaciónFuncional
#Calculemus: Demostrar con Isabelle/HOL que las relaciones reflexivas y circulares son simétricas. #IsabelleHOL #Lógica #Matemática
Curso "Programación declarativa (2007-08)". #ProgramaciónFuncional #Haskell #ProgramaciónLógica #Prolog
Curso "Programación lógica (2007-08)". #ProgramaciónLógica #Prolog #IA
Curso "Razonamiento automático (2007-08)". #RazonamientoAutomático #Otter #Mace2 #Prover9 #Mace4 #DemostraciónInteractiva #IsabelleHOL