Vestigium (Publicaciones sobre Vampire)

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 February 24, 2026

José A. Alonso — Wed, 25 Feb 2026 04:00:00 GMT

The readings shared in Bluesky on 24 February 2026 are:

Formalizing Gröbner basis theory in Lean. ~ Junyu Guo, Hao Shen, Junqi Liu, Lihong Zhi. #LeanProver #ITP #Math
Integral curves and flows on Banach manifolds in Lean. ~ Weichen Winston Yin, Yury Kudryashov. #LeanProver #ITP #Math
Formalization of two fixed-point algorithms in Hilbert spaces. ~ Yifan Bai, Yantao Li, Jian Yu, Jingwei Liang. #LeanProver #ITP
Nazrin: Atomic tactics for graph neural networks for theorem proving in Lean 4. ~ Leni Aniva, Iori Oikawa, David Dill, Clark Barrett. #LeanProver #ITP
Lean formalization of generalization error bound by Rademacher complexity. ~ Sho Sonoda, Kazumi Kasaura, Yuma Mizuno, Kei Tsukamoto, Naoto Onda. #LeanProver #ITP
DSLean: A framework for type-correct interoperability between Lean 4 and external DSLs. ~ Tate Rowney, Riyaz Ahuja, Jeremy Avigad, Sean Welleck. #LeanProver #ITP
A formal correctness proof of Edmonds’ blossom shrinking algorithm. ~ Mohammad Abdulaziz, Kurt Mehlhorn. #IsabelleHOL #ITP
Verifying the hashgraph consensus algorithm. ~ Karl Crary. #CoqProver #ITP
Classifying 2-groups in Homotopy Type Theory. ~ Perry Hart, Owen Milner. #Agda #ITP
Formalized run-time analysis of active learning - coalgebraically in Agda. ~ Thorsten Wißmann. #Agda #ITP
When Agda met Vampire. ~ Artjoms Šinkarovs, Michael Rawson. #Agda #ITP #Vampire #ATP
Haskell meets Evariste. ~ Paulo R. Pereira, Jose N. Oliveira. #Haskell #FunctionalProgramming
Math in the age of AI. ~ Allyn Jackson. #AI4Math
M2F: Automated formalization of mathematical literature at scale. ~ Zichen Wang et als. #AI4Math #ITP #LeanProver
Large language model reasoning failures. ~ Peiyang Song, Pengrui Han, Noah Goodman. #LLMs #Reasoning

Readings shared February 19, 2026

José A. Alonso — Fri, 20 Feb 2026 04:00:00 GMT

The readings shared in Bluesky on 19 February 2026 are:

Hennessy-Milner logic in CSLib, the Lean computer science library. ~ Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker. #LeanProver #ITP #CSLib #CompSci
Computer science as infrastructure: the spine of the Lean computer science library (CSLib). ~ Christopher Henson, Fabrizio Montesi. #LeanProver #ITP #CSLib #CompSci
Pursuit of truth and beauty in Lean 4: Formally verified theory of grammars, optimization, matroids. ~ Martin Dvorak. #LeanProver #ITP #Math #CompSci
Translating proofs from Lean to Dedukti. ~ Rishikesh Vaishnav. #LeanProver #Dedukti #ITP
From sets in math to types in Lean: Subtype, Fin, Set, Finset, and Fintype. ~ Rado Kirov. #LeanProver #ITP
Towards real-world industrial-scale verification: LLM-driven theorem proving on seL4. ~ Jianyu Zhang et als. #IsabelleHOL #ITP #LLMs
Towards term-based verification of diagrammatic equivalence. ~ Julie Cailler, Noé Delorme, Simon Perdrix, Sophie Tourret. #IsabelleHOL #ITP
A Rocq-based formalization of Hilbert’s geometry: Building a reusable foundation for 3D perpendicularity theory and verification. ~ Qimeng Zhang, Wensheng Yu. #RocqProver #ITP #Math
A formal proof of Stirling’s formula. ~ Yasushige Watase. #Mizar #ITP #Math
Case study: Saturations as explicit models in equational theories. ~ Mikoláš Janota, Michael Rawson, Stephan Schulz. #ATP #Vampire
Proof assistants in the age of AI. ~ Leonardo de Moura. #AI4Math #ITP
Mathematics and machine creativity: A Survey on bridging mathematics with AI. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong. #AI4Math #ITP
#Exercitium: Matriz zigzagueante. #Haskell #FunctionalProgramming #Math

Readings shared September 18, 2025

José A. Alonso — Fri, 19 Sep 2025 04:00:00 GMT

The readings shared in Bluesky on 18 September 2025 are:

Case study: Verified Vampire proofs in the lambdapi-calculus modulo. ~ Anja Petković Komel, Michael Rawson, Martin Suda. #ATP #Vampire #ITP #Dedukti
Gemini AI solves coding problem that stumped 139 human teams at ICPC World Finals (Gemini shows off at another high-level academic competition). ~ Ryan Whitwam. #AI #LLMs #Gemini #Programming
#Exercitium: Código Morse. #Haskell #ProgramaciónFuncional

Readings shared August 26, 2025

José A. Alonso — Wed, 27 Aug 2025 04:00:00 GMT

The readings shared in Bluesky on 26 August 2025 are

Experimental results for Vampire on the equational theories project. ~ Mikoláš Janota. #ATP #Vampire
Lean meets theoretical computer science: Scalable synthesis of theorem proving challenges in formal-informal pairs. ~ Terry Jingchen Zhang et als. #ITP #LeanProver #LLMs
Why cannot large language models ever make true correct reasoning? ~ Jingde Cheng. #LLMs #Reasoning
#Exercitium: Matrices de Toepliz. #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Máximos locales. #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Lista cuadrada. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared August 15, 2025

José A. Alonso — Sat, 16 Aug 2025 04:00:00 GMT

The readings shared in Bluesky on 15 August 2025 are

Definite integrals, I: easy cases over finite intervals. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math
Revisiting the Fast Fourier Transform in Rocq. ~ Laurent Théry. #ITP #Rocq #Math
The Vampire diary. ~ Filip Bártek et als. #ATP #Vampire
HaLLMos: Expert-guided AI for learning to write mathematical proofs. #Math #AI
HaLLMos (IA para aprender a escribir demostraciones matemáticas). #Math #AI
#Exercitium: Problemas de programación con Haskell (diciembre de 2015). #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Problemas de programación con Haskell (noviembre de 2015). #Haskell #ProgramaciónFuncional #Matemáticas
#Exercitium: Problemas de programación con Haskell (octubre de 2015). #Haskell #ProgramaciónFuncional #Matemáticas

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

Lecturas compartidas el 30 de mayo de 2024

José A. Alonso — Fri, 31 May 2024 04:00:00 GMT

Las lecturas compartidas en Mastodon el 30 de mayo de 2024 son

Lecturas compartidas el 29 de mayo de 2024. #ITP #Lean4 #IsabelleHOL #Math #FunctionalProgramming #Haskell #Python
#Calculemus: Demostraciones con Lean4 e Isabelle/HOL de "Si x, y ∈ ℝ tales que (∀ z)[y < z → x ≤ z], entonces x ≤ y". #ITP #Lean4 #IsabelleHOL #Math
Formalising the local compactness of the adele ring. ~ Salvatore Mercuri. #ITP #Lean4 #Math
Formalization of asymptotic convergence for stationary iterative methods. ~ Mohit Tekriwal, Joshua Miller, Jean-Baptiste Jeannin. #ITP #Coq #Math
Certification of tail recursive bubble–sort in Theorema and Coq. ~ Isabela Dramnesc, Tudor Jebelean, and Sorin Stratulat. #ITP #Coq #Theorema
Translating HOL-Light proofs to Coq. ~ Frédéric Blanqui. #ITP #HOL_Light #Coq
Prover9 unleashed: Automated configuration for enhanced proof discovery. ~ Kristina Aleksandrova, Jan Jakubuv and Cezary Kaliszyk. #ATP #Prover9
Automated theorem proving for Prolog verification. ~ Fred Mesnard, Thierry Marianne and Etienne Payet. #ATP #Vampire #TPTP #Prolog
Free foil: Generating efficient and scope-safe abstract syntax. ~ Nikolai Kudasov, Renata Shakirova, Egor Shalagin, Karina Tyulebaeva. #FunctionalProgramming #Haskell
Automated theorem provers help improve large language model reasoning. ~ Lachlan McGinness and Peter Baumgartner. #LLMS #ATP