https://jaalonso.github.io/vestigium/esContents © 2026 <a href="mailto:">José A. Alonso</a> <a rel="license" href="https://creativecommons.org/licenses/by-nc-sa/4.0/"> <img alt="Creative Commons License BY-NC-SA" style="border-width:0; margin-bottom:12px;" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png"></a>Thu, 01 Oct 2026 13:00:00 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 31 August 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2608.20793">A Lean 4 verification report for subregular affine cells and the level −1 vertex algebra of type D, ~ Sihai Jin</a>. #LeanProver #ITP #Math</li> <li><a href="https://www.proofatlas.ai/papers/bondy-longest-cycle-proof/Bondy_Longest_Cycle_Formalized_Proof_2026-08-16.pdf">A formalized proof of Bondy’s minimum-degree longest-cycle conjecture</a>. ~ Lech Mazur. #LeanProver #ITP #AI4Math</li> <li><a href="https://www.researchgate.net/profile/Ralf-Stephan/publication/413520035_Even_integral_parts_of_powers_of_square_roots/links/6a8aaf312cf67a11560ce505/Even-integral-parts-of-powers-of-square-roots.pdf">Even integral parts of powers of square roots</a>. ~ Ralf Stephan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2509.19632">Formalization of Harder-Narasimhan theory</a>. ~ Yijun Yuan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23652v1">Improved bounds for the smallest 4-chromatic graph of girth six</a>. ~ Glauco Rampone. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.25449v1">MathAdv: What theorem provers know, reason, formalize, and generalize</a>. ~ Jiaxin Yuan et als. #LeanProver #ITP #AI4Math</li> <li><a href="https://adam.math.hhu.de/#/g/k88-b/NumberTheoryGame">Number theory game (An introduction to integer arithmetic and formal proofs)</a>. ~ kostya88. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.20432v1">ProofJudge: Tool-grounded LLM evaluation of formal proof quality in Mathlib</a>. ~ Shane Caldwell. #LeanProver #ITP #AI4Math</li> <li><a href="https://www.preprints.org/frontend/manuscript/e5c2b75afc9edc91e0c7c3164cbd210b/download_pub">Prove2Me: An open collaborative platform for scaling math formalization</a>. ~ Shuze Chen, Xiaoyang Lu, Kunal Marwaha, Tianyi Peng, Henry Yuen. #LeanProver #ITP #AI4Math</li> <li><a href="https://isa-afp.org/entries/Laurent_Annulus.html">Laurent series expansions on an annulus (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Miquel.html">Miquel's theorem in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Multitape_TM_Substrate.html">Multitape Turing machine substrate (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Enlargement.html">Multitape alphabet enlargement (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Reduction.html">Multitape alphabet reduction (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Multitape_Alphabet_Roundtrip.html">Multitape alphabet roundtrip (in Isabelle/HOL)</a>. ~ András Z. Salamon, Michael Wehar. #IsabelleHOL #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s10817-026-09756-x">Proving total correctness of top-down solvers with widening and narrowing</a>. ~ Sarah Tilscher, Alexandra Graß, Helmut Seidl, Yannick Stade. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Trace_Based_Rely_Guarantee.html">Trace based semantics for rely guarantee (in Isabelle/HOL)</a>. ~ Marialena Hadjikosti, Andrei Popescu, Jamie Wright. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2507.10181">A simple formalization of alpha-equivalence</a>. ~ Kalmer Apinis, Danel Ahman. #RocqProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.23721v1">Autoformalizing the calculation of π₃(S²)</a>. ~ Daniel Carranza, Chunyi Liu, Emily Riehl, Egbert Rijke. #Agda #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23691v1">Autonomous mathematical discovery in an open-world multi-agent environment</a>. ~ Stephen Chung, Wenyu Du, William J. Wesley. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/27/the-future-mathematical-system-ai-tools-human-contribution-and-mathematical-evaluation/">Evaluating mathematical merit (AI-reproducible work, human mathematical contribution, and a residual evaluation framework)</a>. ~ Qi Guo. #AI4Math</li> <li><a href="https://www.math.toronto.edu/mgualt/math-blog/posts/math-and-llm-2026/">Mathematics and the LLM: 2026 (A letter to the mathematical community, to be published in the Notices of the AMS)</a>. ~ Marco Gualtieri. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/26/statement-on-ai-usage-for-phd-students/">Statement on AI usage for PhD students</a>. ~ Manuel Rivera. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.23218v1">What is mathematics now, and what should it be?</a> ~ Jeremy Avigad. #AI4Math</li> <li><a href="https://entropicthoughts.com/curmudgeon-tries-language-server">A curmudgeon tries a language server</a>. ~ kqr. #Haskell #FunctionalProgramming #Emacs #Lisp</li> <li><a href="https://mgarletmilani.com/blog/2026-06-03-tessellations/">Haskell diagrams: Tessellations</a>. ~ Marcelo Garlet Milani. #Haskell #FunctionalProgramming</li> <li><a href="https://funcall.blogspot.com/2026/08/with-ai.html">(WITH-AI …)</a> ~ Joe Marshall. #CommonLisp #AI4Coding</li> <li><a href="https://funcall.blogspot.com/2026/08/will-it-lisp.html">Will it Lisp?</a> ~ Joe Marshall. #CommonLisp #VibeCoding</li> <li><a href="https://www.quantamagazine.org/does-computer-science-need-computers-20260828">Does computer science need computers?</a> ~ Ben Brubaker. #CompSci</li> <li><a href="https://www.gaussianos.com/un-cuerno-finito-infinito/">Un cuerno finito-infinito</a>. ~ Miguel Ángel Morales. #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/07-52n_-_23n_es_divisible_por_17/">#Calculemus: Demostraciones con Lean 4 del Reto 5 (5²ⁿ - 2³ⁿ es divisible por 17)</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/31-infinitud_de_primos_v2/">#Calculemus: Demostraciones en Lean 4 del Reto 4 (Existen infinitos números primos)</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143443">#RetoLean4: Enunciado del reto 17 (las sucesiones convergentes están acotadas)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_16.lean">#RetoLean4: Soluciones del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_15.lean">#RetoLean4: Soluciones del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143325">#RetoLean4: Enunciado del reto 16 (para todo n ∈ N, n(n+1)(2n+1) es divisible por 6)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathCommonLispCompSciEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLispMathRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/31-readings_shared_08-31-26/Mon, 31 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/10-readings_shared_05-09-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 May 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2605.02113v1">A shallow embedding of Datalog in Lean</a>. ~ Ramy Shahin. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.02331v1">Bennett's conjecture in Lean 4: Counter-models for the PSR-reducibility of Spinoza's propositions V and XIV</a>. ~ Yuki Nakamura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.25962v1">Coherent rollout oracles for finite-horizon sequential decision problems</a>. ~ Nishant Shukla. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.18869">Global product intersection sets in semigroups</a>. ~ Wouter van Doorn, Pietro Monticone, Quanyu Tang. #LeanProver #ITP #Math</li> <li><a href="https://github.com/nileshtrivedi/lean-detective">LeanDetective: a Lean Library that can assist with deductive reasoning in crime investigations such as murder mysteries</a>. ~ Nilesh #LeanProver #ITP</li> <li><a href="https://gist.github.com/kim-em/20212c66bd144c5d3fa3b044402e2092">Mel Nathanson — How Harmonic's Aristotle solved some of my problems</a>. #LeanProver #ITP #Aristotle #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.01028v1">Stokes' theorem for smooth singular cubes in Lean 4: True pullback, bridges to mathlib4, and chain-level d²=0</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Aho_Corasick.html">Aho-Corasick string matching (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2605.02474v1">Certified qualitative analysis of the SIR ODE and reusable scalar lemmas in Isabelle/HOL</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Nash_Equilibrium.html">Nash equilibria for finite games in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Banach_Tarski.html">The Banach–Tarski paradox in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://philarchive.org/archive/FIEBQA">Between Qed and truth (The permanent axiom trust boundary in machine-verified mathematics)</a>. ~ Ryan Christopher Fields. #CoqProver #ITP #Math</li> <li><a href="https://www.atlantis-press.com/article/126023793.pdf">Formal verification of Pohlig-Hellman algorithm for computing discrete logarithms with Coq</a>. ~ Jeremiah Daniel A. Regalario et als. #CoqProver #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s11225-026-10239-8">A general formalised framework for reasoning about display calculi</a>. ~ Rajeev Goré, Anthony Peigné. #RocqProver #ITP #Logic</li> <li><a href="https://lawrencecpaulson.github.io//2026/05/07/Mizar.html">Mizar: the first usable proof assistant for mathematics</a>. ~ Lawrence Paulson. #Mizar #ATP #Math</li> <li><a href="https://marcosh.github.io/post/2026/05/08/categorical-transformers.html">Categorical transformers</a>. ~ Marco Perone. #Haskell #FunctionalProgramming</li> <li><a href="https://well-typed.com/blog/2026/05/lay-annotation-land/">Exception annotations: Lay of the Land</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://augustss.github.io/MicroHs/web-mhs/">MicroHs in the browser</a>. ~ Lennart Augustsson. #Haskell #FunctionalProgramming</li> <li><a href="https://www.chargueraud.org/research/2026/bbe/bbe-and-extended-matching.pdf">Functional pearl: Binding boolean expressions and extended pattern matching</a>. ~ Arthur Charguéraud, Yanni Lefki. #Ocaml #FunctionalProgramming</li> <li><a href="https://gowers.wordpress.com/2026/05/08/a-recent-experience-with-chatgpt-5-5-pro/">A recent experience with ChatGPT 5.5 Pro</a>. ~ Timothy Gowers. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06651v1">AI co-mathematician: Accelerating mathematicians with agentic AI</a>. ~ Daniel Zheng et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06660v1">Verifier-backed hard problem generation for mathematical reasoning</a>. ~ Yuhang Lai, Jiazhan Feng, Yee Whye Teh, Ning Miao. #AI4Math</li> <li><a href="https://stanforddaily.com/2026/05/06/future-of-mathematics-symposium-2026/">‘Like space aliens landing’: Symposium weighs effect of AI on the future of mathematics</a>. ~ Angikar Ghosal. #AI4Math</li> <li><a href="https://brewminate.com/counting-beyond-mind-abacus-early-calculation/">Counting beyond the mind: The abacus and the origins of calculation</a>. ~ Matthew A. McIntosh. #Math #CompSci</li> <li><a href="https://brewminate.com/logarithms-slide-rules-human-reasoning/">Logarithms and slide rules: How calculation accelerated human reasoning</a>. ~ Matthew A. McIntosh. #Math #History</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/07-like-space-aliens-landing-symposium-weighs-effect-of-ai-on-the-future-of-mathematics/">Reseña de «'Like space aliens landing': Symposium weighs effect of AI on the future of mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/08-ai-co-mathematician-accelerating-mathematicians-with-agentic-ai/">Reseña de «AI co-mathematician: Accelerating mathematicians with agentic AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/09-una-experiencia-reciente-con-chatgpt-55-pro/">Reseña de «Timothy Gowers: A recent experience with ChatGPT 5.5 Pro»</a>. #AI4Math</li> </ul>AI4MathAristotleATPCompSciCoqProverFunctionalProgrammingHaskellHistoryIsabelleHOLITPLeanProverLogicMathMizarOCamlRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/05/10-readings_shared_05-09-26/Sun, 10 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/04/25-readings_shared_04-24-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 24 April 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2604.16507v1">Deep Vision: A formal proof of Wolstenholmes theorem in Lean 4</a>. ~ Alexandre Linhares. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.15839v1">Discover and prove: An open-source agentic framework for hard mode automated theorem proving in Lean 4</a>. ~ Chengwu Liu et als. #LeanProver #ITP #AI4Math</li> <li><a href="https://afm.episciences.org/18061">Formalising the Bruhat–Tits tree</a>. ~ Judith Ludwig and Christian Merten. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.18882v1">Formally verified patent analysis via dependent type theory: Machine-checkable certificates from a hybrid AI + Lean 4 pipeline</a>. ~ George Koomullil. #LeanProver #ITP #AI4Math</li> <li><a href="https://leanfirststeps.blogspot.com/p/contents.html">Lean: First steps</a>. ~ Tariq Rashid. #LeanProver #ITP #Math</li> <li><a href="https://alexkontorovich.wordpress.com/2026/04/05/lecture-interactions-of-ai-with-research-math-and-formalization-at-newton-insitute-cambridge/">Lecture «Interactions of AI with research math and formalization» at Newton Insitute (Cambridge)</a>. ~ Alex Kontorovich. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.irif.fr/~lahaye/logique_propositionnelle/">Logique propositionnelle (dans Lean)</a>. ~ Sebastien Lahaye. #LeanProver #ITP #Logic</li> <li><a href="https://arxiv.org/abs/2604.16538v1">Understanding tool-augmented agents for Lean formalization: A factorial analysis</a>. ~ Ke Zhang, Patricio Gallardo, Maziar Raissi, Sudhir Murthy. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/chenson2018/leanprover-community.github.io/blob/grind-style/templates/contribute/grind.md">grind best practices</a>. ~ Chris Henson. #LeanProver</li> <li><a href="https://arxiv.org/abs/2604.20807v1">Formal primal-dual algorithm analysis</a>. ~ Mohammad Abdulaziz, Thomas Ammer. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2604.15713v1">Just type it in Isabelle! AI agents drafting, mechanizing, and generalizing from human hints</a>. ~ Kevin Kappelmann, Maximilian Schäffeler, Lukas Stevens, Mohammad Abdulaziz, Andrei Popescu, Dmitriy Traytel. #IsabelleHOL #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.20345v1">A Rocq formalization of simplicial Lagrange finite elements</a>. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero, Houda Mouhcine. #RocqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2604.16477v1">A constructive proof of Rice's theorem and the halting problem via Hilbert's tenth problem</a>. ~ Jonathan Brossard. #RocqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2604.21376">A formal proof of the Sands-Sauer-Woodrow theorem using the Rocq prover and mathcomp/ssreflect</a>. ~ Jean-Philippe Chancelier. #RocqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2604.19558v1">On reasoning-centric LLM-based automated theorem proving</a>. ~ Yican Sun, Chengwei Shi, Hangzhou Lyu, Yingfei Xiong. #RocqProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.19459v1">Do LLMs game formalization? Evaluating faithfulness in logical reasoning</a>. ~ Kyuhee Kim, Auguste Poiroux, Antoine Bosselut. #AI4Math #LeanProver #ITP #Autoformalization</li> <li><a href="https://davidbessis.substack.com/p/the-fall-of-the-theorem-economy">The fall of the theorem economy (How AI could destroy mathematics and barely touch it)</a>. ~ David Bessis. #AI4Math #LeanProver #ITP</li> <li><a href="https://lawrencecpaulson.github.io//2026/04/23/Why_not_Lean.html">Why not just use Lean?</a>. ~ Lawrence Paulson. #ITP #Nqthm #HOL #CoqProver #IsabelleHOL #LeanProver #AI4Math</li> <li><a href="https://www.youtube.com/live/Yt2E1vrgP_E%20~%20Edsko%20de%20Vries,%20Andres%20L%C3%B6h.">The Haskell Unfolder Episode 54: Not quite monads</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://inf9340.pages.info.uqam.ca/notes/notes.pdf">Introduction to computational logic</a>. ~ Ryan Kavanagh. #Logic #Math #CompSci</li> <li><a href="https://arxiv.org/abs/2603.21852">All elementary functions from a single binary operator</a>. ~ Andrzej Odrzywołek. #Math</li> <li><a href="https://www.gaussianos.com/eml-una-funcion-para-generarlas-a-todas/">EML: una función para generarlas a todas</a>. ~ Miguel Ángel Morales. #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/23-matematicas-en-la-era-de-la-ia-demostraciones-rapidas-comprension-lenta/">Matemáticas en la era de la IA: demostraciones rápidas, comprensión lenta</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/22-the-fall-of-the-theorem-economy-how-ai-could-destroy-mathematics-and-barely-touch-it/">Reseña de «The fall of the theorem economy (How AI could destroy mathematics and barely touch it)»</a>. #AI4Math #LeanProver #ITP</li> </ul>AI4MathAutoformalizationCompSciCoqProverFunctionalProgrammingHaskellHOLIsabelleHOLITPLeanProverLogicMathNqthmRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/04/25-readings_shared_04-24-26/Sat, 25 Apr 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 February 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2602.15409v1">Hennessy-Milner logic in CSLib, the Lean computer science library</a>. ~ Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.15078v1">Computer science as infrastructure: the spine of the Lean computer science library (CSLib)</a>. ~ Christopher Henson, Fabrizio Montesi. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.12891">Pursuit of truth and beauty in Lean 4: Formally verified theory of grammars, optimization, matroids</a>. ~ Martin Dvorak. #LeanProver #ITP #Math #CompSci</li> <li><a href="https://rish987.github.io/files/thesis.pdf">Translating proofs from Lean to Dedukti</a>. ~ Rishikesh Vaishnav. #LeanProver #Dedukti #ITP</li> <li><a href="https://rkirov.github.io/posts/sets-vs-types/">From sets in math to types in Lean: Subtype, Fin, Set, Finset, and Fintype</a>. ~ Rado Kirov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2602.08384v1">Towards real-world industrial-scale verification: LLM-driven theorem proving on seL4</a>. ~ Jianyu Zhang et als. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2602.11035v1">Towards term-based verification of diagrammatic equivalence</a>. ~ Julie Cailler, Noé Delorme, Simon Perdrix, Sophie Tourret. #IsabelleHOL #ITP</li> <li><a href="https://www.mdpi.com/2297-8747/31/1/25">A Rocq-based formalization of Hilbert’s geometry: Building a reusable foundation for 3D perpendicularity theory and verification</a>. ~ Qimeng Zhang, Wensheng Yu. #RocqProver #ITP #Math</li> <li><a href="https://reference-global.com/download/article/10.2478/forma-2025-0008.pdf">A formal proof of Stirling’s formula</a>. ~ Yasushige Watase. #Mizar #ITP #Math</li> <li><a href="https://arxiv.org/abs/2602.16324v1">Case study: Saturations as explicit models in equational theories</a>. ~ Mikoláš Janota, Michael Rawson, Stephan Schulz. #ATP #Vampire</li> <li><a href="https://leodemoura.github.io/blog/2026/02/18/proof-assistants-in-the-age-of-ai.html">Proof assistants in the age of AI</a>. ~ Leonardo de Moura. #AI4Math #ITP</li> <li><a href="https://arxiv.org/abs/2412.16543v1">Mathematics and machine creativity: A Survey on bridging mathematics with AI</a>. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong. #AI4Math #ITP</li> <li><a href="http://jaalonso.github.io/exercitium/posts/2015/02/24-matriz_zigzagueante/">#Exercitium: Matriz zigzagueante</a>. #Haskell #FunctionalProgramming #Math</li> </ul>AI4MathATPCompSciCSLibDeduktiFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathMizarRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/Fri, 20 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/02/10-readings_shared_02-05-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 February 2026 are:</p> <ul> <li><a href="https://github.com/mrdouglasny/OSforGFF">A Lean 4 formalization of the gaussian free field in d=4 and proof of the Osterwalder-Schrader axioms</a>. ~ Michael R. Douglas, Sarah Hoback, Anna Mei, Ron Nissim. #ITP #LeanProver</li> <li><a href="https://xenaproject.wordpress.com/2026/02/09/accelerating-mathematics/">Accelerating mathematics</a>. ~ Kevin Buzzard. #AI4Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2602.04846v1">CSLib: The Lean computer science library</a>. ~ Clark Barrett, Swarat Chaudhuri, Fabrizio Montesi, Jim Grundy, Pushmeet Kohli, Leonardo de Moura, Alexandre Rademaker, Sorrachai Yingchareonthawornchai. #ITP #LeanProver #CompSci</li> <li><a href="https://arxiv.org/abs/2602.03716v1">Fel's conjecture on syzygies of numerical semigroups</a>. ~ Evan Chen et als. #ITP #LeanProver #Math</li> <li><a href="https://escholarship.org/content/qt7d89k0th/qt7d89k0th.pdf">Formalization of Weyl’s law and its implementation into Lean code</a>. ~ Zhibin Huang. #ITP #LeanProver #Math</li> <li><a href="https://www.preprints.org/frontend/manuscript/a320788ea980ba7065547e61ebc49208/download_pub">Inequalities for octad weights in M24 a computational framework formalized in Lean 4</a>. ~ Yoshihiro Hasegawa. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2602.02285v1">Statistical learning theory in Lean 4: Empirical processes from scratch</a>. ~ Yuanhe Zhang, Jason D. Lee, Fanghui Liu. #ITP #LeanProver</li> <li><a href="https://ceur-ws.org/Vol-4157/paper6.pdf">Towards trustworthy AI results using evidence structures: From certificates to argumentation frameworks</a>. ~ Shawn Bowers1, Bertram Ludäscher. #ITP #LeanProver</li> <li><a href="https://www.repository.cam.ac.uk/bitstreams/eaa64944-8cd5-4cc3-8ff1-028e9b5a1cac/download">Formal P‑category theory and normalisation for simple type theory</a>. ~ David George Berry. #ITP #RocqProver</li> <li><a href="https://arxiv.org/abs/2602.05059v1">Evaluating Large Language Models on solved and unsolved problems in graph theory: Implications for computing education</a>. ~ Adithya Kulkarni, Mohna Chakraborty, Jay Bagga. #AI4Math</li> </ul>AI4MathCompSciITPLeanProverMathhttps://jaalonso.github.io/vestigium/posts/2026/02/10-readings_shared_02-05-26/Tue, 10 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/12/04-readings_shared_12-03-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 3 December 2025 are:</p> <ul> <li><a href="https://leanprover-community.github.io/blog/posts/simp-made-simple/">Simp, made simple</a>. ~ Yaël Dillies Paul Lezeau. #ITP #LeanProver</li> <li><a href="https://youtu.be/V3P1an4g4fQ">An introduction to formal real analysis (Lecture 23: Uniformity II: continuity)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://www.quantamagazine.org/reverse-mathematics-illuminates-why-hard-problems-are-hard-20251201/">‘Reverse mathematics’ illuminates why hard problems are (Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent)</a>. ~ Ben Brubaker. #Math #CompSci</li> <li><a href="https://www.science.org/doi/10.1126/science.aec9014">Mathematics is hard for mathematicians to understand too</a>. ~ Emily Riehl. #Math</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/12/08-busqueda_en_lista_de_listas_de_pares/">#Exercitium: Búsqueda en lista de listas de pares</a>. #Haskell #ProgramaciónFuncional</li> </ul>CompSciFunctionalProgrammingHaskellITPLeanProverMathhttps://jaalonso.github.io/vestigium/posts/2025/12/04-readings_shared_12-03-25/Thu, 04 Dec 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/11/25-readings_shared_11-24-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 24 November 2025 are:</p> <ul> <li><a href="https://youtu.be/ofB8uRHGu-c">An introduction to formal real analysis (Lecture 21: Functions and derivatives)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://advanced.onlinelibrary.wiley.com/doi/10.1002/advs.202517294">A perspective on interactive theorem provers in Physics</a>. ~ Joseph Tooby-Smith. #ITP #LeanProver #Physics</li> <li><a href="https://youtube.com/playlist?list=PL0oY24ee23INkDNXVoUMBZZ-q_EzE6gwx&amp;si=vxrHKoHjH58UuKt-">ITP 2025 Lean workshop</a>. #ITP #LeanProver</li> <li><a href="https://youtu.be/6WXyGRZ2uU0">Gödel mirror: A paraconsistent calculus mechanized in Lean 4</a>. ~ Jhet Chan. #ITP #LeanProver #Logic #Math</li> <li><a href="https://youtu.be/1FjQzA8S7Z4">Automatic geometry theorem proving using polynomial elaboration</a>. ~ Mauricio Barba da Costa et als. #ITP #LeanProver #Math</li> <li><a href="https://arxiv.org/abs/2511.12727v1">A topological rewriting of Tarski's mereogeometry</a>. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver</li> <li><a href="https://arxiv.org/abs/2511.16705">A Coq-based axiomatization of Tarski's mereogeometry</a>. ~ Patrick Barlatier, Richard Dapoigny. #ITP #CoqProver</li> <li><a href="https://lawrencecpaulson.github.io//2025/11/21/Typed_Set_Theory.html">Set theory with types</a>. ~ Lawrence Paulson. #Logic #Math #CompSci #SetTheory #TypeTheory</li> <li><a href="https://www.quantamagazine.org/a-new-bridge-links-the-strange-math-of-infinity-to-computer-science-20251121/">A new bridge links the strange math of infinity to computer science</a>. ~ Joseph Howlett. #Math #CompSci</li> <li><a href="https://arxiv.org/abs/2511.16781v1">Tableau methodology for propositional logics</a>. ~ T. Jarmuzek, R. Gore. #Logic</li> </ul>CompSciCoqProverITPLeanProverLogicMathPhysicsSetTheoryTypeTheoryhttps://jaalonso.github.io/vestigium/posts/2025/11/25-readings_shared_11-24-25/Tue, 25 Nov 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/11/01-readings_shared_10-31-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 31 October 2025 are:</p> <ul> <li><a href="https://arxiv.org/abs/2510.21741">Virasoro algebra and Sugawara constructions formally in Lean</a>. ~ Kalle Kytölä. #ITP #LeanProver #Math</li> <li><a href="https://philpapers.org/archive/SCHDOF-8.pdf">Derivation of fundamental physical constants from substrate ontology</a>. ~ Matthew Scherf. #ITP #LeanProver #Physics</li> <li><a href="https://www.researchgate.net/profile/Soumya_Banerjee/publication/396932859_Conjecture_extraction_for_proof_autoformalization/links/68ff6c60a404d657099f1f89/Conjecture-extraction-for-proof-autoformalization.pdf">Conjecture extraction for proof autoformalization</a>. ~ Simon Sorg, Wenda Li, Soumya Banerjee. #AI #Math #ITP #LeanProver #Autoformalization</li> <li><a href="https://blog.google/technology/google-deepmind/ai-for-math">Accelerating discovery with the AI for Math Initiative (The initiative brings together some of the world's most prestigious research institutions to pioneer the use of AI in mathematical research)</a>. ~ Pushmeet Kohli, Eugénie Rives. #AI #Math</li> <li><a href="https://cacm.acm.org/blogcacm/genai-for-computing-careers-a-sunny-take/">GenAI for computing careers: A sunny take (Positive outcomes for computer science graduates will take some determined action from both educators and learners)</a>. ~ Saurabh Bagchi. #GenAI #CompSci #Education</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/11/10-extension_de_un_fichero/">#Exercitium: Extensión de un fichero</a>. #Haskell #ProgramaciónFuncional</li> </ul>AIAutoformalizationCompSciEducationFunctionalProgrammingGenAIHaskellITPLeanProverMathPhysicshttps://jaalonso.github.io/vestigium/posts/2025/11/01-readings_shared_10-31-25/Sat, 01 Nov 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/10/30-readings_shared_10-29-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 October 2025 are:</p> <ul> <li><a href="https://arxiv.org/abs/2510.24060">Formalizing Schwartz functions and tempered distributions</a>. ~ Moritz Doll. #ITP #LeanProver #Math</li> <li><a href="https://1000-plus.github.io/all">1000+ theorems (The spiritual successor of Freek’s list of 100 theorems</a>. Now with more than 1000 theorems!). ~ Katja Berčič et als. #Math #ITP #IsabelleHOL #HOL_Light #Rocq #LeanProver #Metamath #Mizar</li> <li><a href="https://arxiv.org/abs/2510.23637">Combining textual and structural information for premise selection in Lean</a>. ~ Job Petrovčič, David Eliecer Narvaez Denis, Ljupčo Todorovski. #AI #Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2506.08588">Martin Davis: An overview of his work in logic, computer science, and philosophy</a>. ~ Liesbeth De Mol, Yuri V. Matiyasevich, Eugenio G. Omodeo, Alberto Policriti, Wilfried Sieg, Elaine J. Weyuker. #Logic #Math #CompSci</li> <li><a href="https://www.johndcook.com/blog/2025/10/28/freshmans-dream/">Freshman’s dream</a>. ~ John D. Cook. #Math #Python #Programming</li> <li><a href="https://cacm.acm.org/news/the-reasons-ai-may-act-secretive">The reasons AI may act secretive (Trained to reflect human behavior, AI models may share half-truths or purposely omit information)</a>. ~ Jennifer Goforth Gregory. #AI</li> <li><a href="https://cacm.acm.org/news/in-search-of-better-search/">In search of better search (Does AI improve, or misdirect, search engines and their results?)</a>. ~ Samuel Greengard. #GenAI</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/11/05-suma_de_todos_los_anteriores/">#Exercitium: Suma de todos los anteriores</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>AICompSciFunctionalProgrammingGenAIHaskellHOL_LightIsabelleHOLITPLeanProverLogicMathMetamathMizarProgrammingPythonRocqhttps://jaalonso.github.io/vestigium/posts/2025/10/30-readings_shared_10-29-25/Thu, 30 Oct 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/10/17-readings_shared_10-16-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 16 October 2025 are:</p> <ul> <li><a href="https://lawrencecpaulson.github.io/2025/10/15/Proofs-trivial.html">Most proofs are trivial</a>. ~ Lawrence Paulson. #Math #ITP #IsabelleHOL</li> <li><a href="https://youtu.be/Zm7ZRBCKL0c">An introduction to formal real analysis (Lecture 11: The real numbers I)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://www.galois.com/articles/automated-lean-proofs-for-every-type">Automated Lean proofs for every type</a>. ~ Elizaveta Pertseva. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2510.12829">Mathematics with large language models as provers and verifiers</a>. ~ Hieu Le Duc, Leo Liberti. #AI #Math #LLMs #ITP #LeanProver</li> <li><a href="https://gowers.wordpress.com/2025/09/22/creating-a-database-of-motivated-proofs/">Creating a database of motivated proofs</a>. ~ Timothy Gowers. #AI #Math</li> <li><a href="https://www.bakerinstitute.org/research/computing-indeed-discipline-crisis">Computing is indeed a discipline in crisis</a>. ~ Moshe Vardi. #CompSci</li> <li><a href="https://github.com/jaalonso/Exercitium/raw/main/libros/Exercitium_Vol1.pdf">Libro «Exercitium: Ejercicios de programación funcional con Haskell (Volumen 1: curso 2013–14)»</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>AICompSciFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathhttps://jaalonso.github.io/vestigium/posts/2025/10/17-readings_shared_10-16-25/Fri, 17 Oct 2025 04:00:00 GMT