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/2026/08/24-readings_shared_08-24-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 24 August 2026 are:</p> <ul> <li><a href="https://github.com/yuanchenyang/lean_low_rank_univariate_sos">A Lean formalization of the main theorem of the paper "Low-rank univariate sum of squares has no spurious local minima"</a>. ~ Chenyang Yuan. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.13757v1">A barrier-free synchronization algorithm for multi-engine AI accelerators</a>. ~ Chungha Sung, Nikil V. Shyamsunder, Hanliang Zhang, Daniel Kroening, Joonwon Choi. #LeanProver #ITP</li> <li><a href="https://github.com/WillWhistler/Regts-Sevenster">A proof of the Regts–Sevenster conjecture, formalized</a>. ~ William Whistler. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/catskillsresearch/cardb">Cardinality of topological bases of a finite set</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Math</li> <li><a href="https://github.com/elliotglazer/erdos501">Erdős problem #501 in Lean 4</a>. ~ Elliot Glazer. #LeanProver #ITP #Math #AI4Math</li> <li><a href="https://github.com/rkirov/jordan_pick">A Lean 4 formalization of Pick's theorem, the polygonal Jordan curve theorem, the full Jordan curve theorem, and Radó's theorem</a>. ~ Rado Kirov. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.08656">Cantor measures with odd base do not admit Fourier frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.20358">Formalizing extended complex numbers, Möbius transformations, and cross ratio in Lean 4</a>. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://primegaps.axiommath.ai/">Lean formalization of bounded gaps between primes</a>. ~ Evan Chen, Sidharth Hariharan, Kenny Lau, Bhavik Mehta, Ken Ono, Ashvin Swaminathan, Jesse Thorner, Yunzhou Xie. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/fubinyan/ComplexVariables">Lean formalization of complex analysis</a>. ~ Fubin Yan et als. #LeanProver #ITP #Math</li> <li><a href="https://github.com/gexahedron/sabidussi-lean">Lean formalization of the Sabidussi compatibility conjecture</a>. ~ Nikolay Ulyanov. #LeanProver #ITP #Math</li> <li><a href="https://github.com/aimmerwahr/lean-math-exercises">Math exercises in Lean</a>. ~ Anna Immerwahr. #LeanProver #ITP #Math</li> <li><a href="https://github.com/xinjiegit/ben_27_formalization">NUSLean: Lean 4 formalization of "A near-quadratic lower bound for sets with no unique sums"</a>. ~ Xinjie He. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26052">On the existence problem of regular Gabor frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #AI4Math</li> <li><a href="https://palomar-registry.org/">Palomar: A public registry of Lean-verified mathematics</a>. #LeanProver #ITP #AI4Math</li> <li><a href="https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/">Palomar: a registry of Lean verified mathematics</a>. ~Terence Tao. #LeanProver #ITP #AI4Math</li> <li><a href="https://github.com/teorth/sendov">Sendov's conjecture in Lean</a>. ~ Terence Tao. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.06693">Stable phase retrieval for spans of independent random variables</a>. ~ Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos, Mitchell A. Taylor. #LeanProver #ITP #AI4Math</li> <li><a href="https://ceur-ws.org/Vol-4239/paper-Farjami-14.pdf">Constrained input/output logic in HOL: An algebraic embedding</a>. ~ Ali Farjami, Luca Pasetto. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2601.00811">A naive encoding of Russell's paradox in type theory</a>. ~ Zhuoyuan Qu. #CoqProver #Agda #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.18445v1">Formal verification of Romanov's triplet logic: A verified filter for sliding-window 3-CNF with application to structured formulas</a>. ~ Dmitry V. Alexandrov. #RocqProver #ITP #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/19/changes-in-the-classroom-in-the-ai-era/">Changes in the classroom in the AI Era</a>. ~ Benjamin Jaye, Galyna V. Livshyts. #AI4Math</li> <li><a href="https://cacm.acm.org/blogcacm/llms-make-mathematics-easier-now-raise-the-bar/">LLMs make mathematics easier</a>. Now raise the bar. ~ Marijn J. H. Heule. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/20/response-to-the-ai-dissenter-viewpoint/">Response to "The AI dissenter viewpoint"</a>. ~ Anatoly Vitold Stankyavichyus. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.09191">A proof of the imbalance conjecture</a>. ~ James Alexander Schreib, Yousof Yavari. #AI4Math #LeanProver</li> <li><a href="https://www.math.ias.edu/~akshay/research/ReimaginingDetails.pdf">Human mathematics in the age of reasoning machines</a>. ~ Akshay Venkatesh. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/18/on-protecting-mathematics-from-llm-companies-monopoly/">On protecting mathematics from LLM companies’ monopoly</a>. ~ Tian Lan. #AI4Math</li> <li><a href="https://youtu.be/ZKF6dWzOiPA">The shape of math to come</a>. ~ Alex Kontorovich. #AI4Math #LeanProver</li> <li><a href="https://www.cs.ox.ac.uk/people/samuel.staton/papers/icfp2026-imp.pdf">Imprecise probabilistic programming, precisely (Credal sets via graded monads, BDDs, and semiring-parametric inference)</a>. ~ Jack Liell-Cock, Sam Staton. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/wtMmw0HlXTg">ediprolog: Emacs does interactive Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming #Emacs</li> <li><a href="https://youtu.be/xHEnWvKmSKM">stdin | LLM | stdout</a>. ~ karthink. #Emacs #LLMs</li> <li><a href="https://www.bardman.dev/technology/switching-to-emacs/">My advice for users wanting to switch to Emacs</a>. ~ Daniel Pinkston. #Emacs</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/17-no_convergencia_-1n/">#Calculemus: Demostraciones con Lean 4 del Reto 2 (La sucesión 1, -1, 1, -1,</a>… no es convergente). #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/24-si_a_converge_a_l_entonces_2a_converge_a_2l/">#Calculemus: Demostraciones con Lean 4 del Reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/143055">#RetoLean4: Enunciado del reto 15 ((∃ k ∈ ℕ)(∀ n ∈ N)[(n + k)² ≤ 2ⁿ⁺ᵏ])</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_14.lean">#RetoLean4: Soluciones del reto (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/ZWtaXZSXLko">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 14</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathCoqProverEmacsFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicProgrammingMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/24-readings_shared_08-24-26/Mon, 24 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 July 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.14082v1">Building Shor's algorithm in Lean: An agentic formalization of quantum attacks on RSA-2048 and P-256</a>. ~ Lei Zhang, Yusheng Zhao, Hongshun Yao, Xin Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.08656v1">Cantor measures with odd base do not admit Fourier frames</a>. ~ Jaume de Dios Pont, Lukas Liehr, Mitchell A. Taylor. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.10216">Formalizing abstract simplicial complexes &amp; stellar subdivisions in Lean</a>. ~ Garett Cunningham, Daniel Zach, Stefan Friedl. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.13165v1">Interchange graphs of (0,1)-matrices are maximally Hamiltonian</a>. ~ Jeffrey S. Baggett, Huiya Yan. #LeanProver #ITP</li> <li><a href="https://archive.is/qJLGP#selection-663.0-667.0">Mathematicians put AI to work on Fermat's last theorem</a>. ~ Matthew Sparkes. #LeanProver #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.08366v1">Minimum modulus for the unique multiset-sum problem</a>. ~ José A. R. Fonollosa. #LeanProver #ITP</li> <li><a href="https://digitalcommons.dartmouth.edu/cgi/viewcontent.cgi?article=1080&amp;context=cs_senior_theses">Representing Lean proofs: Tactics, trajectories, search</a>. ~ Elisaveta Samoylov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.12655">Anti-unification completeness analysis in PVS</a>. ~ Mauricio Ayala-Rincón, Thaynara Arielly de Lima, Maria Júlia Dias Lima, Temur Kutsia, Marcos Mercandeli-Rodrigues. #PVS #ITP</li> <li><a href="https://arxiv.org/abs/2410.13508v1">Formalizing hyperspaces and operations on subsets of polish spaces over abstract exact real numbers</a>. ~ Michal Konečný, Sewon Park, Holger Thies. #CoqProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.14999v1">Verification of a DPLL transition system in Rocq</a>. ~ Julia Dijkstra, Benedikt Ahrens. #RocqProver #ITP</li> <li><a href="https://isa-afp.org/entries/Conway_Circle.html">Conway's circle 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://arxiv.org/abs/2607.10880">First-order modal logic in HOL: Deep and shallow embeddings with automated faithfulness</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://bford.info/pub/lang/paradox/paradox.pdf">Formalizing paradoxes in grounded arithmetic using Isabelle/HOL</a>. ~ Ananthajit Srikanth, Bryan Ford. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/MSOinHOL.html">Monadic second-order logic in HOL: Deep and shallow embeddings with automated faithfulness (Isabelle/HOL dataset)</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP #Logic</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.32">New and formalized proofs for right-forward closures and core matrix interpretations</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Polynomial_Commitment_Schemes.html">Polynomial commitment schemes (in Isabelle/HOL)</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Right_Forward_Closures.html">Termination restricted to right-forward closures (in Isabelle/HOL)</a>. ~ René Thiemann, Dieter Hofbauer, Ulysse Le Huitouze, Johannes Waldmann. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Chevalley_Warning.html">The Chevalley-Warning 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://arxiv.org/abs/2607.08986v1">A formalization of the mean-field derivation of the Vlasov equation: AI-assisted Lean formalization as a strategy game</a>. ~ Joseph K. Miller. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.13899v1">AIMO interpretability challenge</a>. ~ Michal Štefánik et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.07779v1">From solvers to research: Large language model-driven formal mathematics at the research frontier</a>. ~ Eric Jiang, Xiao Liang, Yikai Zhang, Yingjia Wan, Mengting Li, Haikang Deng, Alexander K. Taylor, Justin Baker, Rushil Raghavan, Junyi Zhang, Ying Nian Wu, Andrea L. Bertozzi, Kai-Wei Chang, Raghu Meka, Matthew Sottile, Nanyun Peng, Amit Sahai, Terence Tao, Wei Wang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.09217v1">OpenProver: Agentic and interactive theorem proving with Lean 4</a>. ~ Matěj Kripner, Milan Straka. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2607.09721v1">The Ramanujan challenge for AI</a>. ~ Michael Shalyt, Rotem Kalisch, Carsten Schneider, Hila Barkan, Elyasheev Leibtag, John Campbell, Shachar Weinbaum, Tali Monderer, Ashvni Narayanan, Ido Kaminer. #AI4Math</li> <li><a href="https://blog.haskell.org/enterprise-haskell-at-h-e-b/">Enterprise Haskell at H-E-B</a>. ~ Joshua Miller. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/o3Q4RnP2u1I">GHC String interpolation</a>. ~ Brandon Chinn. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/qk_P8piUclI">Is there a future for a formally specified Haskell report?</a>. ~ David Binder. #Haskell #FunctionalProgramming #LeanProver #ITP</li> <li><a href="https://youtu.be/BtTaT90OvPE">Stable Haskell</a>. ~ Julian Ospald. #Haskell #FunctionalProgramming</li> <li><a href="https://1pt.co/Lean4Reto10Enunciado">#RetoLean4: Enunciado del reto 10 (Si una sucesión converge a un límite no nulo, entonces sus términos están eventualmente acotados inferiormente por la mitad del valor absoluto del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://1pt.co/Lean4Reto9">#RetoLean4: Soluciones del reto 9 (Unicidad del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/Swy_AW1aSMY">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 9</a>. #LeanProver #ITP #Math</li> </ul>AI4MathCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/20-readings_shared_07-20-26/Mon, 20 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/15-readings_shared_06-15-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.01356v1">A formally verified library of mathematical finance in Lean 4</a>. ~ Raphael Coelho. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.08902v1">A kernel-clean lean mechanization of Classical Lottery in Action and the Wakker-Debreu-Koopmans representation layer</a>. ~ Jingyuan Li, Ilia Tsetlin, Fan Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.05629v1">An automated proof that R(B₈, B₁₀) = 37</a>. ~ Jeremy Kalfus, Bernard Lidický. #LeanProver #ITP #Math</li> <li><a href="https://icerm.brown.edu/video_archive/4645">Complex analysis in PNT+ and real analysis as a game</a>. ~ Alex Kontorovich. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.09600">Formal foundations and proof-carrying certificates for q-ary covering codes in Lean 4</a>. ~ Andreas Florath. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2510.24060">Formalizing Schwartz functions and tempered distributions</a>. ~ Moritz Doll. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.01438v1">Formalizing multi-graded Brenner-Schröer Proj schemes and dilatations of rings in Lean4</a>. ~ Arnaud Mayeux, Jujian Zhang. #LeanProver #ITP #Math</li> <li><a href="https://hott-uf.github.io/2026/abstracts/HoTTUF_2026_paper_4.pdf">HoTTLean: Formalizing the groupoid model of MLTT</a>. ~ Steve Awodey, Mario Carneiro, Sina Hazratpour, Joseph Hua, Wojciech Nawrocki, Spencer Woolfson, Yiming Xu. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2501.15639v1">The continuous functional calculus in Lean</a>. ~ Anatole Dedecker, Jireh Loreaux. #LeanProver #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Gabbay_Labelled_Natural_Deduction.html">A reusable Isabelle/HOL framework for propositional labelled natural deduction</a>. ~ Arthur Freitas Ramos 📧, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://www.amazon.science/blog/ec2s-formally-verified-isolation-engine-provides-mathematical-assurance-of-virtual-machine-isolation">EC2’s formally verified “isolation engine” provides mathematical assurance of virtual-machine isolation</a>. ~ Dominic Mulligan, Nathan Chong. #IsabelleHOL #ITP.</li> <li><a href="https://isa-afp.org/entries/Euler_Exponential.html">Euler's exponential series as an infinite polynomial (in Isabelle/HOL)</a>. ~ Jacques D. Fleuriot. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Fair_Games_Theorem.html">Fair games theorem (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Feuerbach.html">Feuerbach's theorem (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/1202.4831v1">Formalization and implementation of algebraic methods in geometry</a>. ~ Filip Marić, Ivan Petrović, Danijela Petrović, Predrag Janičić. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/1202.4835v1">Isabelle/PIDE as platform for educational tools</a>. ~ Makarius Wenzel, Burkhart Wolff. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Mechanized_Metasemantics.html">Mechanized metasemantics of modal necessity: Valuation factorization and modal non-collapse</a>. ~ Yong-Dock Kim. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Cauchy_Davenport_Vosper.html">Vosper's theorem and the Cauchy–Davenport theorem via the polynomial method</a>. ~ Arthur Freitas Ramos , David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.05953v1">A proof in Coq that core logic is not paraconsistent</a>. ~ Joseph Vidal-Rosset. #CoqProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04704v1">Extraction and search in Rocq: Theorems, definitions and their dependencies</a>. ~ Jian Fang, Yingfei Xiong. #RocqProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.12462v1">Auto formalisation of Chaitin and of the surprise incompleteness theorem</a>. ~ Thierry Coquand. #Agda #ITP #AI4Math</li> <li><a href="https://www.newscientist.com/article/2526650-a-golden-age-of-maths-is-dawning-and-mathematicians-are-freaking-out/">A golden age of maths is dawning and mathematicians are freaking out</a>. ~ Alex Wilkins. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.05117v1">A problem of Andrews and Dhar on partitions</a>. ~ Simon Mahns, Ken Ono, Jujian Zhang. #AI4Math #AxiomProver #LeanProver #ITP</li> <li><a href="https://www.scientificamerican.com/article/ai-gets-a-c-on-its-hardest-math-test-yet/">AI scores a ‘C–’ on its hardest math test yet</a>. ~ Joseph Howlett. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.08728v1">Artificial intelligence for mathematical reasoning: an integrated survey of language models, neuro-symbolic systems, and verified discovery</a>. ~ Syed Rifat Raiyan, Mohsinul Kabir, Hasan Mahmud, Md Kamrul Hasan. #AI4Math</li> <li><a href="https://youtu.be/Dkqzqw8rxXI">DeepMind’s new AI found a strange new way to think</a>. ~ Károly Zsolnai-Fehér. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.quantamagazine.org/how-terry-tao-became-an-evangelist-for-ai-in-math-20260608/">How Terry Tao became an evangelist for AI in math</a>. ~ Kevin Hartnett. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.pourlascience.fr/sd/mathematiques/les-mathematiciens-se-positionnent-face-a-l-ia-29277.php">Les mathématiciens se positionnent face à l’IA</a>. ~ François Lassagne. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.12594v1">Pythagoras-Prover: Advancing efficient formal proving via augmented Lean formalisation</a>. ~ Joshua Ong Jun Leang, Zheng Zhao, Mihaela Cătălina Stoian, Qiyuan Xu, Haonan Li, Wenda Li, Shay B. Cohen, Eleonora Giunchiglia. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.johndcook.com/blog/2026/06/11/prolog-claude/">Solving a chess puzzle with Claude and Prolog</a>. ~ John D. Cook. #Prolog #LogicProgramming #LLMs</li> <li><a href="https://eyereasoner.github.io/eyelang/">eyelang: a small rule engine for Prolog-style Horn clauses over ordinary terms, lists, arithmetic, strings, and finite search</a>. ~ Jos De Roo. #LogicProgramming</li> </ul>AgdaAI4MathAxiomProverCoqProverIsabelleHOLITPLeanProverLLMsLogicProgrammingMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/06/15-readings_shared_06-15-26/Mon, 15 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2604.09808">A formal proof of the Ramanujan-Nagell theorem in Lean 4</a>. ~ Barinder S. Banwait. #LeanProver #ITP #AI4Math</li> <li><a href="https://recognitionphysics.org/Paperss/Machine_Verified_Physics_Paper_JAR_template-22.pdf">Certificate-based verification of derivation-graph structural properties in Lean 4/Mathlib</a>. ~ Megan Simons, Jonathan Washburn. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04311">Formal verification of the S-two AIR</a>. ~ Jeremy Avigad, Anat Ganor, Lior Goldberg, David Levit, Ohad Nir, Yoav Seginer, Alon Titelman. #LeanProver #ITP</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6336503%20Tamas%20Nagy.">From Itô to Black-scholes: A machine-verified derivation in Lean 4</a>. ~ #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.25556v2">Keep the proof state live: snapshotting for efficient tactic search in Lean 4</a>. ~ Austin Shen, Yunong Shi. #LeanProver #ITP</li> <li><a href="https://github.com/Vilin97/lean-pool">Lean Pool: a repo for preserving substantial sorry-free formalizations that are valuable but do not fit naturally into mathlib’s scope</a>. ~ Vasily Ilin et als. #LeanProver</li> <li><a href="https://seewoo5.github.io/assets/thesis.pdf">Positive quasimodular forms and linear programming bounds</a>. ~ Seewoo Lee. #LeanProver #ITP #Math</li> <li><a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6837298">We can't agree to disagree, formally: Aumann's theorem and assumption accounting in Lean</a>. ~ Ruize Chen, Ben Eltschig, Scott Duke Kominers, Ken Ono, Jujian Zhang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.04877">Abduction prover in Isabelle/HOL</a>. ~ Yutaka Nagashima, Daniel Sebastian Goc. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2603.07771">Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar</a>. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP</li> <li><a href="https://github.com/Arthur742Ramos/isa-blueprint">IsabelleBlueprint: a new project-layer tool for Isabelle/HOL formalizations, inspired by Lean Blueprint but built specifically for Isabelle</a>. ~ Arthur. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Busy_Beaver.html">The Busy Beaver function (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/Gelfand_Naimark_Segal.html">The Gelfand–Naimark–Segal construction (in Isabelle/HOL)</a>. ~ Richard Schmoetten, Jacques D. Fleuriot. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2505.05362v1">Modelling and verifying neuronal archetypes in Coq</a>. ~ Abdorrahim Bahrami, Rébecca Zucchini, Elisabetta De Maria, Amy Felty. #CoqProver #ITP</li> <li><a href="https://www.researchgate.net/profile/James-Squires-2/publication/405332039_A_Brief_GuideComment_to_Autoformalization_in_Mathematical_Physics/links/6a16ed7f6fa5b75e31598a83/A-Brief-Guide-Comment-to-Autoformalization-in-Mathematical-Physics.pdf">A brief guide to autoformalization in mathematical physics</a>. ~ James Squires. #AI4Math #LeanProver #Autoformalization</li> <li><a href="https://gizmodo.com/a-new-declaration-warns-ai-could-threaten-the-foundations-of-mathematics-2000766375">A new declaration warns AI could threaten the foundations of mathematics</a>. ~ Gayoung Lee. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.01898v1">Auto formalisation of Goedel's second incompleteness theorem in binary recursive arithmetic</a>. ~ Thierry Coquand. #AI4Math #Agda #ITP #Logic #Math</li> <li><a href="https://youtu.be/WMo-RmSJQpE">Frontiers of AI for mathematical research</a>. ~ Carina Hong. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.15713">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. #AI4Math #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2606.02588">Lean-GAP: A dataset of formalized graduate algebra problems</a>. ~ Seewoo Lee et als. #AI4Math #Autoformalization #LeanProver #ITP</li> <li><a href="https://leidendeclaration.ai/">Leiden declaration on artificial intelligence and mathematics</a>. #AI4Math</li> <li><a href="https://www.implicator.ai/mathematicians-issue-leiden-declaration-on-ai-proof-rules/">Mathematicians issue Leiden Declaration on AI proof rules</a>. ~ Marcus Schuler. #AI4Math</li> <li><a href="https://phys.org/news/2026-06-mathematicians-dont-hype-ai-capabilities.html">Mathematicians say 'don't believe hype' on AI capabilities</a>. ~ Andrew Zinin. #AI4Math</li> <li><a href="https://arstechnica.com/tech-policy/2026/06/mathematicians-warn-of-ai-threats-to-profession-as-industry-encroaches/">Mathematicians warn of AI threats to profession as industry encroaches</a>. ~ Jeremy Hsu. #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.03743">Proof-Refactor: Refactoring generated formal proofs into modular artifacts</a>. ~ Yiming Fu, Peixuan Liu, Zichen Wang, Kun Yuan. #AI4Math #LeanProver #ITP</li> <li><a href="https://logicalintelligence.com/blog/automatic-formal-verification-for-code-generation">Automatic formal verification for code generation</a>. ~ Patrick Hillmann, Boris Hanin. #FormalVerification</li> <li><a href="https://nauths.fr/en/2026/05/28/practical-use-of-monads.html">Practical uses of monads in Haskell</a>. ~ Antoine Leblanc. #Haskell #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2606.02367v1">A computational toolkit for engagement and scalable assessment in a large Logic course</a>. ~ Stephen M. Watt. #Logic #RacketLang</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/03-cota_inferior_de_sucesiones_convergentes/">#Calculemus: Demostraciones con Lean 4 de "Si a converge a L, entonces (∃ N)(∀ n ≥ N)[aₙ ≥ L - 1]"</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/06/01-suma_de_sucesiones_convergentes">#Calculemus: Demostraciones con Lean 4 de "Si aₙ converge a L y bₙ a M, entonces aₙ+bₙ converge a L+M"</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140141">#RetoLean4: Demostrar con Lean 4 que existen infinitos números primos</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_3.lean">#RetoLean4: Soluciones del reto 3 (Si aₙ converge a L, entonces 2aₙ converge a 2L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathAutoformalizationCoqProverFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathRacketLanghttps://jaalonso.github.io/vestigium/posts/2026/06/05-readings_shared_06-05-26/Fri, 05 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/30-readings_shared_05-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 May 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2605.30106v1">A Rust-to-Lean verification pipeline with AI provers: an experience report</a>. ~ Natalia Klaus, Palina Tolmach, Juan Conejero. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.23772">Agentic proving for program verification</a>. ~ Alessandro Sosso, Akhil Arora, Bas Spitters. #LeanProver #ProgramVerification</li> <li><a href="https://arxiv.org/abs/2604.17703">Classification and deontic explosion for contrary-to-duty obligations</a>. ~ Bjørn Kjos-Hanssen. #LeanProver #Logic</li> <li><a href="https://www.proquest.com/openview/98e50cad68d44a56e5749b0292dfcd8f/">Formalization of commutative algebra and algebraic number theory</a>. ~ Madison Crim. #LeanProver #Math</li> <li><a href="https://github.com/rkirov/linear-algebra-done-right-lean">Lean companion to Axler's "Linear algebra done right"</a>. ~ Rado Kirov. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.05801">Self-correcting gossip protocols</a>. ~ Giorgio Cignarale, Hans van Ditmarsch, Stephan Felber, Malvin Gattinger, Hugo Rincon Galeana, Vaishnavi Sundararajan. #LeanProver</li> <li><a href="https://arxiv.org/abs/2506.20909">Diophantine equations over Z: Universal bounds and parallel formalization</a>. ~ Jonas Bayer, Marco David, Malte Hassler, Yuri Matiyasevich, Dierk Schleicher. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Seifert-Van-Kampen.html">The classical Seifert–van Kampen theorem (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos , David Barros Hulak and Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.27633v1">Four paradoxes and a proof assistant: Burali-Forti, Diaconescu, Reynolds, and Hurkens in the coq-paradoxes library</a>. ~ Bernardo Alonso. #CoqProver #ITP #Math</li> <li><a href="https://github.com/facebookresearch/atlas-lean/">ATLAS - Autoformalized Textbook Library At Scale</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.29955v1">Formalizing mathematics at scale</a>. ~ Ahmad Rammal, Niket Patel, Fabian Gloeckle, Amaury Hayat, Julia Kempe, Remi Munos, Charles Arnal, Vivien Cabannes. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.25556%20~%20Austin%20Shen,%20Yunong%20Shi.">Keep the proof state live: Snapshotting for efficient tactic search in Lean 4</a>. #AI4Math #LeanProver</li> <li><a href="https://mathgames.es">MathGames: una plataforma de juegos y laboratorios matemáticos donde el aprendizaje se convierte en una experiencia divertida y retadora</a>. #Math</li> </ul>AI4MathCoqProverIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/05/30-readings_shared_05-29-26/Sat, 30 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 May 2026 are:</p> <ul> <li><a href="https://www.researchgate.net/profile/Arjun-Trivedi-5/publication/404396065_An_Arrow-Theoretic_Impossibility_Theorem_for_the_Ordinal_MVP_Aggregation_Problem">An Arrow-theoretic impossibility theorem for the ordinal MVP aggregation problem</a>. ~ Arjun Trivedi. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.13171v1">Formal conjectures: An open and evolving benchmark for verified discovery in mathematics</a>. ~ Moritz Firsching et als. #AI4Math #LeanProver</li> <li><a href="https://arxiv.org/abs/2605.03274v1">Formalizing the prime-field Singer construction and Sidon set infrastructure in Lean 4</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2605.13137v1">LeanSearch v2: Global premise retrieval for Lean 4 theorem proving</a>. ~ Guoxiong Gao et als. #AI4Math #LeanProver</li> <li><a href="https://youtu.be/Uc2zt198U_U">New mathematical workflows</a>. ~ Terence Tao. #AI4Math</li> <li><a href="https://isa-afp.org/entries/Combinatorial_Nullstellensatz.html">Alon’s Combinatorial Nullstellensatz (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, Ruy Jose Guerra Barretto de Queiroz, David Barros Hulak. #IsabelleHOL #ITP #Math</li> <li><a href="https://wrla2026.github.io/preproceedings/preproceedings.pdf#page=7">Generalization of Church-Rosser strategies for confluent abstract rewriting systems of the smallest uncountable cardinality</a>. ~ Ievgen Ivanov. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Mostowski_Collapse.html">The Mostowski collapse 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://link.springer.com/article/10.1007/s10817-026-09754-z">Verified tableaux: from modal logics to modal fixpoint logics</a>. #CoqProver #ITP #Logic</li> <li><a href="https://eshelyaron.com/sweep.html">Sweep: SWI-Prolog embedded in Emacs</a>. #Prolog #LogicProgramming #Emacs</li> <li><a href="https://arxiv.org/abs/2409.19379v1">Automated conjecturing in mathematics with TxGraffiti</a>. ~ Randy Davila. #AI4Math</li> <li><a href="https://rkirov.github.io/posts/three-cultures-of-math/">Three cultures of math</a>. ~ Rado Kirov. #Math #AI #AI4Math</li> <li><a href="https://krystalguo.com/blog/ai-math.html">What does AI do for the working mathematician?</a> ~ Krystal Guo. #AI4Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/139686">#RetoLean4: La sucesión aₙ = 1/n converge a 0</a>. #LeanProver #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/139685">#RetoLean4: Retos matemáticos con Lean 4</a>. #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/14-what-does-ai-do-for-the-working-mathematician_/">#Vestigium: Reseña de «What does AI do for the working mathematician?»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/10-three-cultures-of-math/">#Vestigium: Tres culturas matemáticas ante el avance de la IA</a>. #Math #AI #AI4Math</li> </ul>AIAI4MathCoqProverEmacsIsabelleHOLITPLeanProverLogicLogicProgrammingMathProloghttps://jaalonso.github.io/vestigium/posts/2026/05/15-readings_shared_05-14-26/Fri, 15 May 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/2026/04/04-readings_shared_04-04-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 4 April 2026 are:</p> <ul> <li><a href="https://leodemoura.github.io/blog/2026-4-2-why-lean/">Why Lean?</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.24823v1">A formalization of the Gelfond-Schneider theorem</a>. ~ Michail Karatarakis, Freek Wiedijk. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.23095v1">Formalizing Pick's theorem, efficiently</a>. ~ Michael Eisermann. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.26342v1">Lean on Vampire proofs (short paper)</a>. ~ Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, Michael Rawson. #LeanProver #ITP #Vampire #ATP</li> <li><a href="https://es.gizmodo.com/la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian-2000229508">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</a>. ~ Martín Nicolás Parolari. #LeanProver</li> <li><a href="https://arxiv.org/abs/2604.01483v1">Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving</a>. ~ Devakh Rashie, Veda Rashi. #LeanProver #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2603.28406v1">Physics as code: From scans to theorems with ITP APIs in SU(5) model building</a>. ~ Sven Krippendorf, Joseph Tooby-Smith. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.27007v1">Pairwise independence of representation, classification, and composition in finite extensional magmas</a>. ~ Stefano Palmieri. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2603.28636v1">Optimal bounds for an Erdős problem on matching integers to distinct multiples</a>. ~ Wouter van Doorn, Yanyang Li, Quanyu Tang. #AI4Math #LeanProver #ITP #LLMs</li> <li><a href="https://hxrts.com/telltale/papers/paper1.pdf">Coherence for asynchronous buffered MPST: A mechanized metatheory</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper2.pdf">Computable dynamics for asynchronous MPST: Lyapunov descent, critical capacity, and decision procedures</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://hxrts.com/telltale/papers/paper3.pdf">Harmony from coherence in asynchronous MPST: A minimal erasure invariant for classical dynamics</a>. ~ Sam Hart Berman. #LeanProver #ITP #Physics</li> <li><a href="https://arxiv.org/abs/2603.25682v1">On the formalization of network topology matrices in HOL</a>. ~ Kubra Aksoy, Adnan Rashid, Osman Hasan, Sofiene Tahar. #ISabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2603.20405v1">Putnam 2025 problems in Rocq using Opus 4</a>.6 and Rocq-MCP. ~ Guillaume Baudart, Marc Lelarge, Tristan Stérin, Jules Viennot. #RocqProver #AI4Math</li> <li><a href="https://youtu.be/5fAWYqM9v8k">Representing graphs in Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://youtu.be/EjNalq6EihU">Encodings into the λ-calculus</a>. ~ Kristopher Micinski. #LambdaCalculus #Racket #FunctionalProgramming</li> <li><a href="https://stopa.io/post/269">What Gödel discovered</a>. ~ Stepan Parunashvili. #Logic #Math #Lisp #Programming</li> <li><a href="https://www.technologyreview.com/2026/03/25/1134642/this-startup-wants-to-change-how-mathematicians-do-math/">This startup wants to change how mathematicians do math</a>. ~ Will Douglas Heaven. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.29961v1">Short proofs in combinatorics and number theory</a>. ~ Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant. #AI4Math</li> <li><a href="https://mathscholar.org/2026/04/how-effective-are-current-ai-models-on-mathematical-research-problems/">How effective are current AI models on mathematical research problems?</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.26524v1">Mathematical methods and human thought in the age of AI</a>. ~ Tanya Klowden, Terence Tao. #AI #Math</li> <li><a href="https://abuseofnotation.github.io/category-theory-illustrated/06_type/">Category theory illustrated: Types</a>. ~ Jencel Panic. #CategoryTheory #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/11-resena-de-leantutor-a-formally-verified-ai-tutor-for-mathematical-proofs/">Reseña de 'LeanTutor: A formally-verified AI tutor for mathematical proofs'</a>. #ITP #LeanProver #Math #AIforMath #Teaching</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-matp-bench-can-mllm-be-a-good-automated-theorem-prover-for-multimodal-problems/">Reseña de «MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems?»</a>. #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/13-resena-de-mathesis-towards-formal-theorem-proving-from-natural-languages/">Reseña de «Mathesis: Towards formal theorem proving from natural languages»</a>. #AI #LLMs #Math #ITP #LeanProver #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hardest-problems-in-mathematics-physics-the-future-of-ai/">Reseña de «Hardest problems in mathematics, physics &amp; the future of AI»</a>. #ITP #LeanProver #AI #Math #AIforMath</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-hablemos-de-lisp/">Reseña de «Hablemos de Lisp»</a>. #Lisp #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/01-diophantine-equations-over-z-universal-bounds-and-parallel-formalization/">Reseña de «Diophantine equations over Z: Universal bounds and parallel formalization»</a>. #ITP #IsabelleHOL #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/07/27-solving-formal-math-problems-by-decomposition-and-iterative-reflection/">Reseña de «Solving formal math problems by decomposition and iterative reflection»</a>. #AI4Math #LLMs #ProofAssistants #LeanProver #Math</li> <li><a href="https://jaalonso.github.io/vestigium/">Reseña de «The Infinity Project (How to use AI and mathematics to prove and improve science and security)»</a>. #AI #Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-olympiad-level-formal-mathematical-reasoning-with-reinforcement-learning/">Reseña de «Olympiad-level formal mathematical reasoning with reinforcement learning»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/21-deepminds-latest-an-ai-for-handling-mathematical-proofs/">Reseña de «DeepMind’s latest: An AI for handling mathematical proofs»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/05-formalization-of-erdos-problems/">Reseña de «Formalization of Erdős problems»</a>. #ITP #LeanProver #Math #Autoformalization</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/13-resena-de-machine-assistance-and-the-future-of-research-mathematics/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/17-resena-de-mathematics-and-machine-creativity-a-survey-on-bridging-mathematics-with-ai/">Reseña de «Machine assistance and the future of research mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/03-resena-de-completing-the-formal-proof-of-higher-dimensional-sphere-packing/">Reseña de «Completing the formal proof of higher-dimensional sphere packing»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/09-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/23-resena-de-coding-after-coders-the-end-of-computer-programming-as-we-know-it/">Reseña de «Coding after coders: The end of computer programming as we know it»</a>. #AI #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/24-resena-de-eval-awareness-in-claude-opus-46s-browsecomp-performance/">Reseña de «Eval awareness in Claude Opus 4</a>.6’s BrowseComp performance». #AI</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/25-resena-de-formal-verification-and-ai-are-reshaping-mathematical-research/">Reseña de «Formal verification and AI are reshaping mathematical research»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-in-math-rigor-is-vital-but-are-digitized-proofs-taking-it-too-far/">Reseña de «In math, rigor is vital</a>. But are digitized proofs taking it too far?». #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-resena-de-can-machines-do-mathematics/">Reseña de «Can machines do mathematics?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/27-impulsar-las-matematicas-guiando-la-intuicion-humana-con-ia/">Reseña de «Advancing mathematics by guiding human intuition with AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/28-resena-de-shaping-the-future-of-mathematics-in-the-age-of-ai/">Reseña de «Shaping the future of mathematics in the age of AI»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-what-happens-when-ai-starts-checking-mathematicians-work/">Reseña de «What happens when AI starts checking mathematicians’ work»</a>. #AI4Math #ITP #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-as-ai-keeps-improving-mathematicians-struggle-to-foretell-their-own-future/#AI4Math">Reseña de «As AI keeps improving, mathematicians struggle to foretell their own future»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-resena-de-mathematics-in-the-library-of-babel/">Reseña de «Mathematics in the library of Babel»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/29-embracing-ai-and-formalization-experimenting-with-tomorrows-mathematical-tools/">Reseña de «Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-resena-de-this-startup-wants-to-change-how-mathematicians-do-math/">Reseña de «This startup wants to change how mathematicians do math»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/01-la-ia-acaba-de-hacerle-una-pregunta-incomoda-a-la-fisica-teorica-que-pasa-si-algunos-de-sus-resultados-mas-citados-nunca-fueron-tan-solidos-como-parecian/">Reseña de «La IA acaba de hacerle una pregunta incómoda a la física teórica</a>. Qué pasa si algunos de sus resultados más citados nunca fueron tan sólidos como parecían». #LeanProver #ITP</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/02-short-proofs-in-combinatorics-and-number-theory/">Reseña de «Short proofs in combinatorics and number theory»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/31-mathematical-methods-and-human-thought-in-the-age-of-ai/">Reseña de «Mathematical methods and human thought in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/11-resena-de-mathematicians-in-the-age-of-ai/">Reseña de «Mathematicians in the age of AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/03/10-resena-de-ai-for-mathematical-and-scientific-discovery/">Reseña de «AI for mathematical and scientific discovery»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/09-accelerating-mathematics/">Reseña de «Accelerating mathematics»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/27-resena-de-ai-that-can-prove-its-right-verification-as-the-missing-layer-in-ai/">Reseña de «AI that can prove it’s right: Verification as the missing layer in AI»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-type-checked-compliance-deterministic-guardrails-for-agentic-financial-systems-using-lean-4-theorem-proving/">Reseña de «Type-checked compliance: Deterministic guardrails for agentic financial systems using Lean 4 theorem proving»</a>. #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-what-godel-discovered/">Reseña de «What Gödel discovered»</a>. #Logic #Math #Lisp #Programming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-why-lean/">Reseña de «Why Lean?»</a>. #LeanProver #ITP #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/04/03-deepseek-prover-v2-7b-bridges-the-gap-between-mathematical-thought-and-formal-code/">Reseña de «DeepSeek-Prover-V2-7B bridges the gap between mathematical thought and formal code»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/02/03-recent-advances-in-llms-for-mathematics/">Reseña de «Recent advances in LLMs for mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/31-aristotle-an-ai-theorem-prover-using-lean/">Reseña de «Aristotle, an AI theorem prover using Lean»</a>. #AI4Math #LeanProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/01/24-sobre-la-resolucion-de-problemas-de-erdos-usando-inteligencia-artificial-generativa/">Reseña de «Sobre la resolución de problemas de Erdös usando inteligencia artificial generativa»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/09-the-story-of-erdos-problem-1026/">Reseña de «The story of Erdős problem #1026»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/12/07-50-years-of-proof-assistants/">Reseña de «50 years of proof assistants»</a>. #ITP #IsabelleHOL #LeanProver #CoqProver</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/18-teaching-real-analysis-as-a-game/">Reseña de «Teaching real analysis as a game»"</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/14-how-we-achieved-an-imo-medal-one-year-before-any-other-ai-system/">Reseña de «How we achieved an IMO medal, one year before any other AI system»</a>. #AI #Math #ITP #LeanProver #AlphaProof</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2025/11/08-a-new-paradigm-for-mathematical-proof/">Reseña de «A new paradigm for mathematical proof?»</a>. #Math #ITP #LeanProver #Agda</li> </ul>AgdaAIAI4MathAlphaProofATPAutoformalizationCategoryTheoryCoqProverFunctionalProgrammingIsabelleHOLITPLambdaCalculusLeanProverLispLLMsLogicLogicProgrammingMathPhysicsProgrammingPrologRacketRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/04/04-readings_shared_04-04-26/Sun, 05 Apr 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/03/10-readings_shared_02-09-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 March 2026 are:</p> <ul> <li><a href="https://leanprover-community.github.io/blog/posts/simprocs-tutorial/">Fantastic simprocs and how to write them</a>. ~ Yaël Dillies, Paul Lezeau. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.04376">Formalization in Lean of faithfully flat descent of projectivity</a>. ~ Liran Shaul. #LeanProver #ITP</li> <li><a href="https://youtu.be/JHEO7cplfk8">Formalizing a proof in Lean using Claude Code</a>. ~ Terence Tao. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.08139v1">Formalizing the stability of the two Higgs doublet model potential into Lean: identifying an error in the literature</a>. ~ Joseph Tooby-Smith. #LeanProver #ITP #Physics</li> <li><a href="https://naokitakata.com/quantum_superradiance_formalization.pdf">Formalizing unstable quasinormal modes and the quantum black hole bomb in Lean 4</a>. ~ Naoki Takata. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2603.01463">Implementing dependent type theory inhabitation and unification</a>. ~ Chase Norman, Jeremy Avigad. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2506.08321v1">LeanTutor: A formally-verified AI tutor for mathematical proofs</a>. ~ Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade. #LeanProver #ITP #Math #AI4Math</li> <li><a href="https://arxiv.org/abs/2603.03684">Mathematicians in the age of AI</a>. ~ Jeremy Avigad. #AI4Math #LeanProver #ITP</li> <li><a href="https://www.math.ias.edu/~akshay/mnotices.pdf">Shaping the future of mathematics in the age of AI</a>. ~ Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.00896">Unbiasing symmetric monoidal categories in Lean</a>. ~ Robin Carlier. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.07771v1">Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar</a>. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. #IsabelleHOL #ITP</li> <li><a href="https://hal.science/hal-05532641v1/file/RD_paper20381.pdf">A topological rewriting of Tarski’s mereogeometry</a>. ~ Richard Dapoigny. #CoqProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.04006">Proving and computing: The infinite pigeonhole principle and countable choice</a>. ~ Zena M. Ariola, Paul Downen, Hugo Herbelin. #RocqProver #ITP</li> <li><a href="https://github.com/alexfmpe/semantic-satiation/blob/main/posts/003-the-floor-is-magma.md">The floor is magma</a>. ~ Alexandre Esteves. #Haskell #FunctionalProgramming</li> <li><a href="https://www.quantamagazine.org/can-the-most-abstract-math-make-the-world-a-better-place-20260304/">Can the most abstract math make the world a better place?</a> ~ Natalie Wolchover. #CategoryTheory #Math</li> <li><a href="https://arxiv.org/abs/2209.01259v1">Category theory for programming</a>. ~ Benedikt Ahrens, Kobe Wullaert. #CategoryTheory #Haskell #LeanProver #FunctionalProgramming</li> <li><a href="https://youtu.be/CL1LAKMsyKg">Lambda calculus for dummies: The Church encoding</a>. #LambdaCalculus #FunctionalProgramming</li> <li><a href="https://batsov.com/articles/2026/03/09/emacs-and-vim-in-the-age-of-ai/">Emacs and Vim in the age of AI</a>. ~ Bozhidar Batsov. #Emacs #AI</li> <li><a href="https://elpa.gnu.org/packages/doc/emacs-lisp-intro-es/emacs-lisp-intro-es.pdf">Una introducción a la programación en Emacs Lisp</a>. ~ Robert J. Chassell, David Arroyo Menéndez. #Emacs #Lisp</li> </ul>AIAI4MathCategoryTheoryCoqProverEmacsFunctionalProgrammingHaskellIsabelleHOLITPLambdaCalculusLeanProverLispMathPhysicsRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/03/10-readings_shared_02-09-26/Tue, 10 Mar 2026 04:00:00 GMT