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>Mon, 31 Aug 2026 06:39:36 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/2026/08/24-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/2026/08/17-readings_shared_08-17-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 17 August 2026 are:</p> <ul> <li><a href="https://www.proofatlas.ai/papers/sendov-conjecture/SENDOV_CONJECTURE_PROOF_AUGUST_5_2026.pdf">A computer-assisted proof of Sendov’s conjecture</a>. ~ Lech Mazur. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.07384">A formalization of the Laplace transform and its inversion in Lean 4</a>. ~ Daniel Goldberg, Antoine Vinciguerra. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.29191v2">A proof of the Dittert conjecture in dimension 4 via an exact constrained sum-of-squares certificate</a>. ~ Jinhui Li, Beibei Xiong, Zhengfeng Yang. #LeanProver #ITP #Math</li> <li><a href="https://github.com/ImperialCollegeLondon/AnnalsChallenge">AnnalsChallenge is a collection of formalised statements of recent important theorems</a>. These theorems are the main results of papers published in the Annals of Mathematics in the 2020s. The statements are written in Lean 4, using Mathlib. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.07396v1">Banach lattices and phase retrieval: A case study for the use of AI in mathematics</a>. ~ Jaume de Dios Pont, Lukas Liehr, David Muñoz-Lahoz, Mitchell A. Taylor, Pedro Tradacete. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2604.16507v2">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/2608.09305v1">Dilatations of categories, via their lean formalization</a>. ~ Arnaud Mayeux. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.10894v1">FormaTheoria: Constructing large-scale lean theories from mathematical literature (Toward the formalization of the classification of finite simple groups)</a>. ~ Tianjiao Nie, Ao Zhang, Yusen Tang, Damiano Testa, Shing-Tung Yau, Peng Li, Yuan Zhou. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.07366v1">From the Dirichlet integral to Lobachevsky's formula: a formalization in Lean 4</a>. ~ Daniel Goldberg, Antoine Vinciguerra. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.12280v1">Grothendieck's theorem for Bessel sequences</a>. ~ Lukas Liehr, Mitchell A. Taylor, Peiyang Yu. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/0QZI_m8WZ0Q">Is this the end of handwritten math? Introducing Lean</a>. ~ Ank Yog. #LeanProver #ITP #Math</li> <li><a href="https://lean-lang.org/doc/reference/latest/releases/v4.33.0/">Lean 4.33.0 is live!</a> #LeanProver #ITP</li> <li><a href="https://lean.commutator.io/">Les mathématiques du secondaire français, démontrées en Lean</a>. ~ Michel Hua. #LeanProver #ITP #Math #AI4Math</li> <li><a href="https://xenaproject.wordpress.com/2026/08/13/the-annals-challenge/">The Annals Challenge</a>. ~ Kevin Buzzard. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.07388v1">The Banach lattice Lean library</a>. ~ David Muñoz-Lahoz. #LeanProver #ITP #Math</li> <li><a href="https://www.fixpoint-theory.com/papers/note_e8_gaussian_code.pdf">The Gaussian code bridge: E8 over Z[i], the extended Hamming code, and a four-bit information layer</a>. ~ Stefan Hamann. #LeanProver #ITP</li> <li><a href="https://arena.lean-lang.org/">The Lean Kernel Arena presents, tests and benchmarks proof checkers for the Lean Theorem Prover</a>. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.08643v1">The set of primes is supernatural: a Lean formalization of the statement of the conjecture</a>. ~ A. Mayeux. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.13522">Vero: Can AI agents build formally verified software repositories? ~ Zhe Ye et als</a>. #LeanProver #ITP #FormalVerification</li> <li><a href="https://arxiv.org/abs/2608.13459v1">CAPRI: Contract-aware proof repair for Isabelle</a>. ~ Jim Woodcock, Gabriel Leite, Augusto Sampaio, Ran Wei. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://isa-afp.org/entries/Projected_Gradient_Descent.html">First-order methods for smooth convex optimization in Isabelle/HOL</a>. ~ Feier Lyu. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.00501">Machine-checked dual-write recovery from a committed log</a>. ~ Andreas Andreakis. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2608.08421v1">A SAT attack on Tarski's high school algebra problem</a>. ~ Bernardo Subercaseaux, Benjamin Przybocki. #ATP #SATsolvers #Math</li> <li><a href="https://proofsandprompts.com/">Proofs and prompts (a communal blog about mathematics in the age of AI)</a>. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/12/the-end-of-an-era-in-mathematical-research/">The end of an era in mathematical research</a>. ~ Alonso Castillo-Ramirez. #AI4Math</li> <li><a href="https://www.daniellitt.com/blog/2026/8/11/the-end-of-mathematics">The end of mathematics</a>. ~ Daniel Litt. #AI4Math</li> <li><a href="https://youtu.be/HSxytYCWVow">The path to mathematical superintelligence</a>. ~ Tudor Achim. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/11/the-question-of-reasoning-traces/">The question of reasoning traces</a>. ~ Segev Gonen Cohen. #AI4Math</li> <li><a href="https://theoremdb.org/">TheoremDB: A public workspace for machine mathematics</a>. #AI4Math #LeanProver</li> <li><a href="https://proofsandprompts.com/2026/08/11/what-i-feel-like-when-i-work-with-an-ai/">What I feel like when I work with an AI</a>. ~ Shmuel Weinberger. #AI4Math</li> <li><a href="https://gowers.wordpress.com/2026/08/12/what-sort-of-maths-are-llms-good-at/">What sort of maths are LLMs good at?</a> ~ Timothy Gowers. #AI4Math</li> <li><a href="https://proofsandprompts.com/2026/08/07/writing-mathematics-in-the-age-of-ai/">Writing mathematics in the age of AI</a>. ~ Main Hairer. #AI4Math</li> <li><a href="https://azizovich.uz/posts/advent-of-code-solving.html">Solving AoC with Haskell</a>. ~ Asliddin Abdivasiyev. #Haskell #FunctionalProgramming</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/09-retos_de_demostracion_en_lean_4/">#RetoLean4: Retos de demostración en Lean 4</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2026/05/10-la_sucesion_1_div_n_converge_a_0/">#Calculemus: Demostraciones con Lean 4 de "La sucesión 1/n converge a 0"</a>. #LeanProver #Math</li> </ul>AI4MathATPFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathhttps://jaalonso.github.io/vestigium/posts/2026/08/17-readings_shared_08-17-26/Mon, 17 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 10 August 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2607.08986v2">A formalization of the mean-field derivation of the Vlasov equation (Mathematician in the loop: AI-assisted Lean formalization as a strategy game)</a>. ~ Joseph K. Miller. #LeanProver #ITP #AI4Math</li> <li><a href="https://verse-lab.org/papers/leetproof-ase26.pdf">Certified program synthesis with a multi-modal verifier</a>. ~ Yueyang Feng et als. #LeanProver #FormalVerification</li> <li><a href="https://arxiv.org/abs/2608.02066v1">Every quasiperfect number has at least eight distinct prime factors</a>. ~ Akira Toyohara, Ye Tao, Siqiong Yao. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.29111v1">Fitting’s theorem and semirings of normal subgroups</a>. ~ Damiano Testa. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.06261">Game hopping in Lean</a>. ~ Stefan Dziembowski, Grzegorz Fabiański, Daniele Micciancio, Rafał Stefański. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.20244">Lean refactor: Multi-objective controllable proof optimization via agentic strategy search</a>. ~ Jialin Lu, Soonho Kong, Rodrigo Stehling, Kaiyu Yang, Zhangyang Wang. #LeanProver #ITP #AI4Math</li> <li><a href="https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2025.2">Lean4Lean: Verifying a typechecker for Lean, in Lean</a>. ~ Mario Carneiro. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28459v1">LeanCSP: A framework for certifying constraint reformulation and solving in Lean</a>. ~ Pablo Manrique, Stefan Szeider. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.02295">MechGeo: Autoformalizing and proving euclidean geometry in Lean 4</a>. ~ Hao Shen, Junyu Guo, Tian Cui, Yuxuan Xiao, Lihong Zhi. #AI4Math #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/blog/2026-8-1-postmortem-for-kernel-soundness-bug-14576/">Postmortem for kernel soundness bug #14576</a>. ~ Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://leodemoura.github.io/static/floc26/">The Lean theorem prover: design, evolution, and impact</a>. ~ Leo de Moura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2608.04228v1">Topological semantics for scoped computational paths</a>. ~ Arthur Freitas Ramos, Ruy J. G. B. de Queiroz, Anjolina Grisi de Oliveira, Tiago M. L. de Veras. #LeanProver #ITP #Math</li> <li><a href="https://francis.naukas.com/2026/08/02/un-error-en-el-nucleo-de-lean-aprovechado-por-una-ia-para-refutar-la-conjetura-de-collatz/">Un error en el núcleo de Lean aprovechado por una IA para refutar la conjetura de Collatz</a>. ~ Francisco R. Villatoro. #LeanProver #ITP #Math</li> <li><a href="https://www.andrew.cmu.edu/user/avigad/Students/rong_ms_thesis.pdf">Verifying Verus: A Lean 4 formalization of the SST-to-AIR expression translation</a>. ~ Shuge Rong. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/HOL_in_HOL_Deep.html">A deep embedding of HOL in HOL: soundness, completeness, consistency</a>. ~ Christoph Benzmüller, Daniel Kirchner. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Dinitz_Garg_Goemans_Counterexample.html">A formal counterexample to the cost-preserving single-source unsplittable flow conjecture (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/Q0_Completeness.html">Completeness of the Q₀ higher-order logic (in Isabelle/HOL)</a>. ~ Asta Halkjær From, Jonathan Julian Huerta Munive, Anders Schlichtkrull. #IsabelleHOL #ITP #Logic</li> <li><a href="https://youtu.be/nEf-WVtpEek">Isabelle: the last 40 years (and the next)</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Simson.html">The Wallace-Simson line 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://iwc2026.github.io/documents/iwc2026_proceedings.pdf#page=13">Verifying and generalizing simultaneous critical pairs</a>. ~ René Thiemann. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2608.01870">0/1-Polytopes with exponentially small edge expansion</a>. ~ Xiongxin Yang. #AI4Math</li> <li><a href="https://arxiv.org/abs/2608.05142v1">A bijective proof of a partition theorem of Berkovich and Uncu</a>. ~ Michal Mogielnicki, Ken Ono, Niels Voss, Jujian Zhang. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.28557">Completeness of the model space does not force regularity for infinite-dimensional Lie groups</a>. ~ Zongjian Han1, Fungo Liu. #AI4Math</li> <li><a href="https://varto.ai/news/putnambench/">How we solved PutnamBench (A look at formally proving undergraduate competition mathematics)</a>. #AI4Math #IsabelleHOL</li> <li><a href="https://assets-eu.researchsquare.com/files/rs-10387804/v1_covered_6fa9d06e-b7c7-404f-b3e2-1d1493471102.pdf">Mathematical scientific discovery using large language models: a systematic literature review</a>. ~ Vinita Gangaram Jansari et als. #AI4Math</li> <li><a href="https://mathscholar.org/2026/08/mathematicians-address-artificial-intelligence/">Mathematicians address artificial intelligence</a>. ~ David H Bailey. #AI4Math</li> <li><a href="https://www.understandingai.org/p/mathematicians-are-grappling-with">Mathematicians are grappling with the possibility that AI might eclipse them</a>. ~ Kai Williams. #AI4Math</li> <li><a href="https://github.com/anadim/anadim.github.io/raw/master/MIMO_Detection.pdf">Polynomial-time MIMO detection at the maximum-likelihood threshold</a>. ~ Dimitris Papailiopoulos. #AI4Math</li> <li><a href="https://trishullab.github.io/PutnamBench/leaderboard">PutnamBench Leaderboard (Benchmarking formal mathematical reasoning on the Putnam Mathematical Competition)</a>. #AI4Math #LeanProver #IsabelleHOL #Coq</li> <li><a href="https://trishullab.github.io/PutnamBench/">PutnamBench: A Multilingual competition-mathematics benchmark for formal theorem-proving</a>. ~ George Tsoukalas et als. #AI4Math</li> <li><a href="https://www.quantamagazine.org/why-the-legendary-erdos-problems-are-falling-to-ai-20260803/">Why the legendary Erdős problems are falling to AI</a>. ~ Konstantin Kakaes. #AI4Math</li> <li><a href="https://pandoc.org/twenty-years-of-pandoc.html">Twenty years of Pandoc</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://artificialanalysis.ai/">Independent analysis of AI (Understand the AI landscape to choose the best model and provider for your use case)</a>. #AI</li> <li><a href="https://www.microsiervos.com/archivo/ia/inteligencia-artificial-chatgpt-tareas-creatividad-imagenes.html">La lista de los más listos de la clase: el análisis de la «inteligencia» de las IA (y sus precios) en una sola página</a>. ~ @Alvy. #AI</li> <li><a href="https://t.me/Retos_Matematicos/109557/142397">#RetoLean4: Enunciado del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/142663">#RetoLean4: Enunciado del reto 14 (para todo n ∈ ℕ, 2n + 9 ≤ 2ⁿ⁺⁴)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_12.lean">#RetoLean4: Soluciones del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_13.lean">#RetoLean4: Soluciones del reto 13 (Desigualdad triangular inversa: ||x| - |y|| ≤ |x - y|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/hodYneYNEWw">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 12</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/EcNgDxgNya8">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 13</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathCoqFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/08/10-readings_shared_08-10-26/Mon, 10 Aug 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 3 August 2026 are:</p> <ul> <li><a href="https://github.com/PierreSenellart/descriptive-complexity">A Lean 4 library for descriptive complexity</a>. ~ Pierre Senellart. #LeanProver #ITP</li> <li><a href="https://github.com/mbrcic/ai-safety-formalization-atlas">AI safety formalization Atlas</a>. ~ Mario Brčić et als. #LeanProver #ITP #AI</li> <li><a href="https://arxiv.org/abs/2607.23500v1">Formalizing flag algebras in Lean</a>. ~ Gyeongwon Jeong, Seonghun Park, Jihoon Hyun, Sang-il Oum, Hongseok Yang. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.26230v1">Formally certifying number field invariants</a>. ~ Alain Chavarri Villarello, Sander R. Dahmen. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.22972v1">Learned interventions in Lean 4 grind</a>. ~ Evan Wang, Simon Chess, Sophie Szeto, Theodore Meek. #LeanProver #ITP</li> <li><a href="https://leanprover-community.github.io/lean4-metaprogramming-book/">Metaprogramming in Lean 4</a>. ~ Asei Inoue et als. #LeanProver #ITP</li> <li><a href="https://ml4sp.github.io/papers/2026/paper7.pdf">An LLM-based recommendation system for PVS</a>. ~ Nikson Bernardes Fernandes Ferreira, Mariano M. Moscato, Mauricio Ayala-Rincón. #PVS #ITP #LLMs</li> <li><a href="https://www.researchgate.net/publication/410760112_Show_Me_The_Money_An_Exercise_in_Proof-Driven_Software_Understanding">Show me the money: an exercise in proof-driven software understanding</a>. ~ Joseph Tafese, Karthik Nukala, Hassen Saïdi, Natarajan Shankar, Arie Gurfinkel, Giuliano Losa. #PVS #ITP #Autoformalization</li> <li><a href="https://link.springer.com/chapter/10.1007/978-3-032-32589-1_25">Growing HOLMS: A verified automated prover for Grzegorczyk logic in HOL Light</a>. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi. #HOL_Light #ITP</li> <li><a href="https://lawrencecpaulson.github.io/2026/07/30/Collatz.html">Why is it all in the kernel?</a> ~ Lawrence Paulson. #ITP #LeanProver #IsabelleHOL #RocqProver</li> <li><a href="https://arxiv.org/abs/2508.11136v1">Automating the derivation of unification algorithms (A case study in deductive program synthesis)</a>. ~ Richard Waldinger. #DeductiveProgramSynthesis</li> <li><a href="https://www.researchgate.net/publication/410760278_Pgeon_Generating_Tableau-Based_Provers_from_Declarative_Specifications_of_Logical_Calculi">Pgeon: Generating tableau-based provers from declarative specifications of logical calculi</a>. ~ Romain Sidhoum, Simon Robillard, David Delahaye. #ATP #Logic #Ocaml</li> <li><a href="https://arxiv.org/abs/2607.27298v1">From lecture notes to Lean: Formalizing a textbook on probability theory</a>. ~ Shuo Deng, Kenneth W. Shum. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.22524v1">Machine-checked arithmetic bit complexity of the Kannan-Bachem Smith normal form in Lean 4</a>. ~ Junye Ji. #AI4Math #LeanProver #ITP</li> <li><a href="https://borretti.me/article/mathematics-without-mathematicians">Mathematics without mathematicians</a>. ~ Fernando Borretti. #AI4Math</li> <li><a href="https://aimath.robertj1.com/">Open math problems claimed to be solved with AI</a>. ~ Robert Joseph. #AI4Math</li> <li><a href="https://pramaanalabs.ai/blog/pramaana-solves-imo-2026-in-lean-4-in-under-7-hours">Pramaana solves IMO 2026 in Lean 4 in under 7 hours (Pramaana’s Panini and Hardy systems formalized and proved all six IMO 2026 problems in Lean 4 in under seven hours and for less than $150)</a>. ~ Arnav Mehta. #AI4Math #LeanProver #ITP</li> <li><a href="https://cdn.openai.com/pdf/ten-proofs-oai.pdf">Ten advances in mathematics and theoretical computer science</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.27197">The Maxwell conjecture is false</a>. ~ Philip Arathoon, Gavin Ball, Matthew D. Kvalheim. #AI4Math</li> <li><a href="https://vibemathed.com/">VibeMathed: A website tracking mathematical problems solved by AI models - proved or disproved with a model in the loop</a>. #AI4Math</li> <li><a href="https://ubunlog.com/el-correcto-uso-de-los-parametros-en-un-modelo-de-inteligencia-artificial/">El correcto uso de los parámetros en un modelo de Inteligencia Artificial</a>. ~ Diego Germán González. #AI</li> <li><a href="https://haskell.foundation/news/2026-07-18/hiw-hew-2026-videos.html">2026 Haskell workshop videos now online</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://cdfa.github.io/existentials-on-a-leash/">Existentials on a leash</a>. ~ Colin de Roos. #Haskell #FunctionalProgramming</li> <li><a href="https://www.well-typed.com/blog/2026/07/falsify-4/">New falsify release</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://blog.haskell.org/quick-tips-for-fast-iteration-in-haskell/">Quick tips for fast iteration in Haskell</a>. ~ Tom Ellis, Laurent P. René de Cotret. #Haskell #FunctionalProgramming</li> <li><a href="https://codeberg.org/jaror/real-world-haskell">Real World Haskell Revived</a>. #Haskell #FunctionalProgramming</li> <li><a href="https://funcall.blogspot.com/2026/07/vibe-coding-reconsidered.html">Vibe coding reconsidered</a>. ~ Joe Marshall. #CommonLisp #VibeCoding #AI4Coding</li> <li><a href="https://t.me/Retos_Matematicos/109557/142082">#RetoLean4: Enunciado del reto 12 (Si aₙ → L, bₙ → M y L &lt; M, entonces eventualmente aₙ &lt; bₙ)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_11.lean">#RetoLean4: Soluciones del reto 11 (Si la sucesión aₙ converge a L, entonces |aₙ| converge a |L|)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/bktHsoZDWAQ">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 11</a>. #LeanProver #ITP #Math</li> </ul>AIAI4MathATPAutoformalizationCommonLispFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicMathOCamlPVSRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/08/03-readings_shared_08-03-26/Mon, 03 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/2026/07/13-readings_shared_07-13-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 12 July 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2602.05090">Almost all primes are partially regular</a>. ~ Evan Chen et als. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.06379v1">Axioms for physical reasoning: codifying the Seiberg-Witten solution in Lean</a>. ~ Michael R. Douglas. #LeanProver #ITP</li> <li><a href="https://openreview.net/pdf?id=OUtgFOscnh">Euclean: Automated geometry problem formalization with unified verification in Lean</a>. ~ Linbin Tang et als. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.01438">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://cfreer.org/papers/ITP-definetti-2026.pdf">Three roads to de Finetti’s theorem in Lean 4</a>. ~ Cameron Freer. #LeanProver #ITP #AI4Math</li> <li><a href="https://isa-afp.org/entries/ZF_finite.html">Axiomatic theory of hereditarily finite sets and its fragments (in Isabelle/HOL)</a>. ~ Štěpán Holub, Zuzana Haniková. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Bessel.html">Bessel functions of the first kind (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Infinite_Descent_Criteria.html">Certified infinite descent criteria (in Isabelle/HOL)</a>. ~ Jamie Wright, Liron Cohen, Reuben Rowe, Andrei Popescu. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Arithmetic_Geometric_Mean.html">Complete elliptic integrals and the arithmetic–geometric mean (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/BMSSP_Correctness.html">Correctness and complexity of BMSSP 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/Freiman_3k_4.html">Freiman's 3k - 4 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/Generalized_Hypergeometric_Series.html">Generalised hypergeometric series (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Height_Balanced_Tree_Bounds.html">Height bounds for height-balanced trees (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Rademacher_Series.html">Rademacher's series for the partition function (in Isabelle/HOL)</a>. ~ Manuel Eberl, Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Exp_Log_Integral.html">The exponential and logarithmic integral (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Incomplete_Gamma.html">The incomplete gamma function (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2505.07681">Verified purely functional catenable real-time deques</a>. ~ Jules Viennot, Arthur Wendling, Armaël Guéneau, François Pottier. #RocqProver #ITP #FunctionalProgramming</li> <li><a href="https://arxiv.org/abs/2607.07898">A (24₄, 32₃)-configuration on the Schur quartic with logarithmic Chern slope 14/5</a>. ~ Bartosz Naskręcki, Piotr Pokora. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.04394">MechMath agent team: LLM driven agents for mathematical research</a>. ~ Yichuan Cao, Ruichen Qiu, Junqi Liu, Jiaqi Wang, Dakai Guo, Ruyong Feng, Lihong Zhi, Xiao-Shan Gao. #AI4Math</li> <li><a href="https://aclanthology.org/2026.bigpicture-main.2.pdf">Open problems solved by LLMs? A survey of verifiable mathematical discovery</a>. ~ Ioannis Tzachristas, Georgios Tzachristas, Aifen Sui. #AI4Math</li> <li><a href="https://entropicthoughts.com/sicp-2-4-data-directed-programming-in-haskell">Data-directed programming in Haskell (SICP 2.4.3)</a>. ~ kqr. #Haskell #FunctionalProgramming</li> <li><a href="https://entropicthoughts.com/sicp-2-4-tagged-data-in-haskell">Tagged data in Haskell (SICP 2.4.2)</a>. ~ kqr. #Haskell #FunctionalProgramming</li> <li><a href="https://drive.google.com/file/d/1FOMPmXmUPuczilnADPfekJeuCXruxuPo/edit">Demostrando lo indemostrable</a>. ~ Esteban Martínez Vañó. #Lógica #Matemática</li> <li><a href="https://www.gaussianos.com/lva2-vol-3-num-2-nuevo-numero-de-la-revista-de-retos-matematicos/">Lva² (vol. 3, núm. 2), nuevo número de la revista de «Retos matemáticos»</a>. ~ Miguel Ángel Morales. #Matemáticas</li> <li><a href="https://1pt.co/Lean4Reto9Enunciado">#RetoLean4: Enunciado del reto 9 (Unicidad del límite)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_8.lean">#RetoLean4: Soluciones del reto 8 (Demostrar que una sucesión que posee infinitos términos con valor absoluto superior a 10 no puede converger a un límite cuyo valor absoluto sea menor que 5)</a>. #LeanProver #ITP #Math</li> <li><a href="https://youtu.be/kIqkrI-5RGo">#Retolean4: Vídeo tutorial sobre cómo resolver el reto 8 (dirigido a quienes desean empezar a demostrar con Lean)</a>. #LeanProver #ITP #Math</li> </ul>AI4MathFunctionalProgrammingHaskellIsabelleHOLITPLeanProverMathRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/13-readings_shared_07-13-26/Mon, 13 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/07/06-readings_shared_07-06-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 July 2026 are:</p> <ul> <li><a href="https://www.preprints.org/manuscript/202607.0075">An explicit eventual p⁴-divisibility theorem for an Apery-type numerator family</a>. ~ Zhipeng Chen, Qisheng Wang, Yan Feng. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=adCv2IV5V3">Axiom-audited trustworthy formalization of game-theoretic commitment in Lean</a>. ~ Jan Ondras. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.26141v1">Classifying the groups of order p³ in Lean</a>. ~ Li Xiang. #LeanProver #ITP #Math</li> <li><a href="https://florisvandoorn.com/theses/WenrongZou.pdf">Formalization of formal group laws</a>. ~ Wenrong Zou. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.01544v1">Formalized q-series: The Rogers-Ramanujan identities and beyond</a>. ~ Kenny Lau, Seewoo Lee, Ken Ono. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=I8t5C1vYMR">Formalizing Scarf, Brouwer, and Nash in Lean</a>. ~ Yuwei Lyu, Kai Li. #LeanProver #ITP #Math</li> <li><a href="https://openreview.net/pdf?id=EsEqPLc0ef">From agents to axioms: Verifier-gated Lean formalization for statistical learning theory</a>. ~ Robert Sneiderman. #LeanProver #ITP</li> <li><a href="https://www.diva-portal.org/smash/get/diva2:2080968/FULLTEXT01.pdf">Mechanizing proofs from a course on programming language semantics in Lean</a>. ~ Hampus Toft. #LeanProver #ITP</li> <li><a href="https://openreview.net/pdf?id=jhbkIZOn5a">Reformalization of the Jordan curve theorem</a>. ~ Simon Guilloud, Sankalp Gambhir, Samuel Chassot. #Mizar #LeanProver #HOL_Light #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2606.28990v1">The fundamental theorem of Asset Pricing, formalized in Lean 4</a>. ~ Raphael Coelho. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/Tabulation_Hashing.html">Formalization of 3-independence of simple tabulation hashing (in Isabelle/HOL)</a>. ~ Wei De Leong, Yong Kiam Tan, Seng Joe Watt. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Lower_Bound_Certificates_Planning.html">Formalization of lower-bound certificates for optimal classical planning</a>. ~ Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Submodular_Greedy.html">Greedy algorithms for cardinality-constrained submodular maximization</a>. ~ Feier Lyu. #IsabelleHOL #ITP</li> <li><a href="https://era.ed.ac.uk/server/api/core/bitstreams/0abbb6de-2234-4219-91f5-6eb9853f9263/content">On the formalisation of Haag-Kastler nets in higher-order logic</a>. ~ Richard H. J. Schmoetten. #IsabelleHOL #ITP</li> <li><a href="https://lfmtp.github.io/lfmtp-page/workshops/2026/papers/lfmtp26_paper9.pdf">Anti-unification completeness analysis in PVS</a>. ~ Mauricio Ayala-Rincón et als. #PVS #ITP</li> <li><a href="https://arxiv.org/abs/2510.08452">Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory</a>. ~ Vojtěch Štěpančík. #Agda #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26809v1">The educational proof assistant Waterproof in an introductory proof course: Proof construction and learning processes</a>. ~ Pim Otte, Rogier Bos, Johan Commelin, Jim Portegies. #Waterproof #ITP #Teaching #Math</li> <li><a href="https://arxiv.org/abs/2605.21221v2">Binomial coefficients with divisors avoiding an interval</a>. ~ Hung M. Bui, Slava Naprienko, Kyle Pratt, Alexandru Zaharescu. #AI4Math</li> <li><a href="https://openreview.net/pdf?id=t9iBTo1zBG">Lean2Isabelle: Factorized cross-assistant proof translation</a>. ~ Guanyu Liu, Jingkun Ma, Derek F. Wong. #AI4Math #LeanProver #IsabelleHOL #ITP</li> <li><a href="https://www.researchgate.net/profile/Pawel-Przybylowicz-2/publication/408133759_Local_Reasoning_Models_for_Mathematics_-From_installation_through_concepts_to_workflows_with_Ollama/links/6a3ec9a668552924bb0257e5/Local-Reasoning-Models-for-Mathematics-From-installation-through-concepts-to-workflows-with-Ollama.pdf">Local reasoning models for mathematics (From installation, through concepts, to workflows with Ollama)</a>. ~ Paweł Przybyłowicz. #AI4Math</li> <li><a href="https://gilkalai.wordpress.com/2026/07/02/the-ramanujan-challenge-for-ai/">The Ramanujan challenge for AI</a>. ~ Gil Kalai. #AI4Math</li> <li><a href="https://rkirov.github.io/posts/jacobian/">The jacobian challenge retro</a>. ~ Rado Kirov. #AI4Math #LeanProver #ITP</li> <li><a href="https://exploring-better-ways.bellroy.com/haskell-koan-type-checked-non-empty-strings.html">Haskell koan: Type-checked non-empty strings</a>. ~ Mike Ledger. #Haskell #FunctionalProgramming</li> <li><a href="https://youtu.be/W5NYmUmjS3w">#RetoLean4: Construcción en Lean 4 de las soluciones del reto 7 (La composición de inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellHOL_LightIsabelleHOLITPLeanProverMathMizarPVShttps://jaalonso.github.io/vestigium/posts/2026/07/06-readings_shared_07-06-26/Mon, 06 Jul 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 28 June 2026 are:</p> <ul> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_7.lean">#RetoLean4: Soluciones del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/141015">#RetoLean4: Propuesta del reto 8 (Demostrar, con Lean 4, que una sucesión que posee infinitos términos con valor absoluto superior a 10 no puede converger a un límite cuyo valor absoluto sea menor que 5)</a>. #LeanProver #ITP #Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/06/28-what-it-means-to-be-a-mathematician-when-ai-does-the-math/">Reseña de «What it means to be a mathematician when AI does the math?»</a>. #AI4Math #LeanProver #ITP</li> <li><a href="https://projectdiderot.com/papers/3bcc794d-824c-40ee-9cd7-e84d5d86cd63">A weighted Turán sieve for twin primes via the Krafft geometry</a>. ~ Fernando Portela. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.26442v1">AXLE: A cloud infrastructure for Lean 4 theorem proving utilities</a>. ~ Jimmy Xin, Alex Schneidman, Chris Cummins, Karun Ram, Srihari Ganesh, Jannis Limperg. #LeanProver #ITP #AI4Math</li> <li><a href="https://arxiv.org/abs/2606.25412">Formalization of line search methods by Lean</a>. ~ Yiyang Zhang, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.27041">Formalizing a many-sorted hybrid polyadic modal logic in Lean</a>. ~ Andrei-Alexandru Oltean, Bogdan Macovei, Ioana Leuştean. #LeanProver #ITP #Logic</li> <li><a href="https://pure.tue.nl/ws/portalfiles/portal/390531427/Arendsen_L.pdf">Formalization of template formulas in the modal μ-calculus in Isabelle/HOL</a>. ~ Lise Arendsen. #IsabelleHOL #ITP #Logic</li> <li><a href="https://isa-afp.org/entries/Perrons_Formula.html">Perron's formula (in Isabelle/HOL)</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://lawrencecpaulson.github.io/2026/06/26/Dottie_Number.html">The Dottie number</a>. ~ Lawrence Paulson. #IsabelleHOL #ITP #Math #AI4Math</li> <li><a href="https://byorgey.github.io/blog/posts/2026/06/26/FTA.lagda.html">Proving the fundamental theorem of arithmetic in Agda</a>. ~ Brent Yorgey. #Agda #ITP #Math</li> <li><a href="https://spectrum.ieee.org/ai-in-mathematics">AI in mathematics is forcing big questions (What it means to be a mathematician when AI does the math?)</a>. ~ Benjamin Skuse. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2509.14274">Discovering new theorems via LLMs with in-context proof learning in Lean</a>. ~ Kazumi Kasaura, Naoto Onda, Yuta Oriike, Masaya Taniguchi, Akiyoshi Sannai, Sho Sonoda. #AI4Math #LeanProver #ITP</li> <li><a href="https://cacm.acm.org/blogcacm/the-leiden-declaration-mathematics-ai-and-making-our-values-explicit/">The Leiden Declaration: Mathematics, AI, and making our values explicit</a>. ~ Mateja Jamnik. #AI4Math</li> <li><a href="https://haskellforall.com/2026/06/record-type-inference-for-dummies">Record type inference for dummies</a>. ~ Gabriella Gonzalez. #Haskell #FunctionalProgramming</li> <li><a href="https://entropicthoughts.com/sicp-2-4-tagged-data-in-haskell">Tagged data in Haskell (SICP 2</a>.4.2). ~ kqr. #Haskell #FunctionalProgramming</li> <li><a href="https://sabela.datahaskell.com/c/1ea40000">Learn you a Haskell for great good! (Miran Lipovaca's classic introduction to Haskell, ported to runnable Sabela notebooks)</a>. #Haskell #FunctionalProgramming</li> </ul>AgdaAI4MathFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLogicMathhttps://jaalonso.github.io/vestigium/posts/2026/06/29-readings_shared_06-29-26/Mon, 29 Jun 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 21 June 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2606.15520v1">A Lean 4 formalization of euclidean domain algorithms from a 1986 icon experimentation package</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16688v1">A Lean-certified proof of K₈(4, 2) = 23</a>. ~ Andreas Florath. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.16144v1">EconCSLib: A Lean library for computational economics and AI-Assisted research</a>. ~ Xiaohui Bei, Jiajun Ma, Zhan Jing, Hongfei Fu, Zhihao Gavin Tang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.19761">Finishing Oltean's completeness proof in Lean 4 for hybrid logic L(∀)</a>. ~ Lars Warren Ericson. #LeanProver #ITP #Logic</li> <li><a href="https://arxiv.org/abs/2606.16679v1">Formalizing chip-firing and Riemann-Roch for graphs in Lean 4</a>. ~ Dhyey Dharmendrakumar Mavani, Nathan Pflueger. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.20358">Formalizing extended complex numbers, Mobius transformations, and cross ratio in Lean 4</a>. ~ Fubin Yan, Kenneth W. Shum. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.19936">Prismriver: Formalization of music theory and algorithmic composition in Lean 4</a>. ~ Leni Aniva, Claire Wang. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2606.14000v1">Formalizing numerical analysis: an agent pipeline and quality audit beyond kernel acceptance</a>. ~ Theodore Meek, Siyuan Ge, Di Qiu Xiang, Simon Chess, Vasily Ilin. #AI4Math #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/CNF_DNF_Exp_Blowup.html">A formalization of the exponential blowup in the transformations between CNF and DNF (in Isabelle/HOL)</a>. ~ Leon Raffael Schulz, Martin Desharnais-Schäfer, Jan Johannsen. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Countable_Multiset.html">Formalization of countable multisets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Weighted_Set.html">Formalization of weighted sets (in Isabelle/HOL)</a>. ~ Mathias Schack Rabing, Dmitriy Traytel. #IsabelleHOL #ITP</li> <li><a href="https://www.researchgate.net/profile/Daniel-Busing/publication/406962966_LLMemma_An_LLM-Guided_Isabelle_Proof_Synthesis_System/links/6a2b502d8ab2ac2a709716b1/LLMemma-An-LLM-Guided-Isabelle-Proof-Synthesis-System.pdf">LLMemma: An LLM-guided Isabelle proof synthesis system</a>. ~ Daniel Busing, Hyunkyung Lee, Isaac Mangano, Timothy Stanbrough, Tommy Tran. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://isa-afp.org/entries/Dottie_Number.html">The Dottie number (in Isabelle/HOL)</a>. ~ Lawrence C. Paulson. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Detour_Calculus.html">The detour calculus: Rigorous local deformation of integration contours</a>. ~ Manuel Eberl. #IsabelleHOL #ITP #Math</li> <li><a href="https://arxiv.org/abs/2606.20351">A cubical formalisation of conditional independence, Bayesian conditioning, and Pearl's d-separation soundness</a>. ~ Karen Sargsyan. #Agda #ITP</li> <li><a href="https://recurial.com/gpce26main-p2.pdf">Programmable record types in Haskell</a>. ~ Arthur Jamet, Michael Vollmer. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-18-sheaves-in-haskell/">Sheaves in Haskell</a>. ~ Arnaud Spiwack. #Haskell #FunctionalProgramming</li> <li><a href="https://www.tweag.io/blog/2026-06-11-diff-package-static-checks/">Writing static checks to an unsuspecting library with Liquid Haskell</a>. ~ Xavier Góngora. #Haskell #FunctionalProgramming</li> <li><a href="https://www.johndcook.com/blog/2026/06/15/writing-prolog-with-chatgpt/">Writing Prolog with ChatGPT</a>. ~ John D. Cook. #Prolog #LogicProgramming #ChatGPT+ <a href="https://t.me/Retos_Matematicos/109557/140646">#RetoLean4: Propuesta del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> <li><a href="https://t.me/Retos_Matematicos/109557/140783">#RetoLean4: Propuesta del reto 7 (Demostrar que la composición de funciones inyectivas es inyectiva)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_5.lean">#RetoLean4: Soluciones del reto 5 (Demostrar que 5²ⁿ - 2³ⁿ es divisible por 17)</a>. #LeanProver #ITP #Math</li> <li><a href="https://live.lean-lang.org/#url=https://github.com/jaalonso/Retos/blob/main/src/Reto_6.lean">#RetoLean4: Soluciones del reto 6 (Demostrar el teorema del emparedado: Si aₙ y cₙ convergen a L y aₙ ≤ bₙ ≤ cₙ para todo n, entonces bₙ converge a L)</a>. #LeanProver #ITP #Math</li> </ul>AgdaAI4MathChatGPTFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsLogicLogicProgrammingMathProloghttps://jaalonso.github.io/vestigium/posts/2026/06/22-readings_shared_06-22-26/Mon, 22 Jun 2026 04:00:00 GMT