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 13:00:01 GMTNikola (getnikola.com)http://blogs.law.harvard.edu/tech/rsshttps://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/2025/11/08-readings_shared_11-07-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 7 November 2025 are:</p> <ul> <li><a href="https://youtu.be/omfZbs2v_dQ">An introduction to formal real analysis (Lecture 16: Completeness of the real numbers)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://cacm.acm.org/news/the-path-to-a-superhuman-ai-mathematician/">The path to a superhuman AI mathematician</a>. ~ Lawrence Fisher. #AI #Math #ITP #LeanProver</li> <li><a href="https://home.zcu.cz/~danek/DATA/WWW_STRANKY/soubory/materialy/poster-lean-2025-09-22-EUPeace-Plzen.pdf">Math reasoning in times of AI: Lean way of theorem proving</a>. ~ Jan Cepika et als. #ITP #LeanProver #Math #AI #LLM</li> <li><a href="https://hal.science/hal-05342510/document">Babel-formal: Translation of proofs between Lean and Rocq</a>. ~ Théo Stoskopf, Cyril Cohen, Nicolas Tabarea. #ITP #LeanProver #Rocq</li> <li><a href="https://arxiv.org/abs/2511.02164v1">ScenicProver: A framework for compositional probabilistic verification of learning-enabled systems</a>. ~ Eric Vin et als. #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2409.19176">Polynomial universes in Homotopy Type Theory</a>. ~ C.B. Aberlé, David I. Spivak. #ITP #Agda #HoTT</li> <li><a href="https://arxiv.org/abs/2511.02864v1">Mathematical exploration and discovery at scale</a>. ~ Bogdan Georgiev, Javier Gómez-Serrano, Terence Tao, Adam Zsolt Wagner. #AI #Math #AlphaEvolve #ITP #LeanProver</li> <li><a href="https://dl.acm.org/doi/full/10.1145/3736710">It’s the specification, stupid! (Seeking a significant shift in the traditional software development and verification paradigm)</a>. ~ Manfred Broy, Harald Ruess, Natarajan Shankar. #FormalVerification</li> <li><a href="https://www.gaussianos.com/cual-es-el-siguiente-termino/">¿Cuál es el siguiente término?</a> ~ Miguel Ángel Morales. #Matemáticas</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/11/17-mayores_elementos_de_una_matriz/">#Exercitium: Mayores elementos de una matriz</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>AgdaAIAlphaEvolveFormalVerificationFunctionalProgrammingHaskellHoTTITPLeanProverLLMMathRocqhttps://jaalonso.github.io/vestigium/posts/2025/11/08-readings_shared_11-07-25/Sat, 08 Nov 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/09/21-readings_shared_09-20-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 20 September 2025 are:</p> <ul> <li><a href="https://lawrencecpaulson.github.io/2025/09/20/Wrong.html">Everything you know is wrong</a>. ~ Lawrence Paulson. #AI #Logic #ATP #ITP #FunctionalProgramming #LogicProgramming #FormalVerification</li> <li><a href="https://youtu.be/p2Q4Vgn0QB0">An introduction to formal real analysis (Lecture 4: Non-convergence of (-1)ⁿ, triangle inequality)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> <li><a href="https://youtu.be/MSp48lKUOGY">An introduction to formal real analysis (Lecture 5: Doubling a convergent sequence)</a>. ~ Alex Kontorovich. #ITP #LeanProver #Math</li> </ul>AIATPFormalVerificationFunctionalProgrammingITPLeanProverLogicLogicProgrammingMathhttps://jaalonso.github.io/vestigium/posts/2025/09/21-readings_shared_09-20-25/Sun, 21 Sep 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/09/06-readings_shared_09-05-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 5 September 2025 are</p> <ul> <li><a href="https://lawrencecpaulson.github.io/2025/09/05/All_or_nothing.html">Program verification is not all-or-nothing</a>. ~ Lawrence Paulson. #FormalVerification</li> <li><a href="https://youtu.be/QXQNet2yTdk">The future of math is programming</a>. ~ Ank Yog. #ITP #LeanProver #Math</li> <li><a href="https://leandojo.org/">AI-driven formal theorem proving</a>. #ITP #LeanProver #AI #LLMs</li> <li><a href="https://well-typed.com/blog/2025/09/better-haskell-stack-traces/">Better Haskell stack traces via user annotations</a>. ~ Hannes Siebenhandl, Matthew Pickering. #Haskell #FunctionalProgramming</li> <li><a href="https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/">What is the Fourier transform?</a>. ~ Shalma Wegsman. #Math</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/06/27-intercala_n_copias/">#Exercitium: Intercalación de n copias</a>. #Haskell #ProgramaciónFuncional</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/06/30-elimina_n_elementos/">#Exercitium: Eliminación de n elementos</a>. #Haskell #ProgramaciónFuncional</li> </ul>AIFormalVerificationFunctionalProgrammingHaskellITPLeanProverLLMsMathhttps://jaalonso.github.io/vestigium/posts/2025/09/06-readings_shared_09-05-25/Sat, 06 Sep 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/07/30-readings_shared_07-29-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 July 2025 are</p> <ul> <li><a href="https://electriclam.com/papers/conf.pdf">Algorithmic conversion with surjective pairing: A syntactic and untyped approach</a>. ~ Yiyun Liu, Stephanie Weirich. #FormalVerification #ProofAssistants #CoqProver</li> <li><a href="https://openreview.net/forum?id=CBFAMnax09">Symbolic world models in Lean 4 for reinforcement learning</a>. ~ Matěj Kripner. #ITP #LeanProver #MachineLearning</li> <li><a href="https://arxiv.org/abs/2507.17956">Formal verification of the safegcd implementation</a>. ~ Russell O'Connor, Andrew Poelstra. #FormalVerification #ProofAssistants #CoqProver</li> <li><a href="https://fse.studenttheses.ub.rug.nl/36504/1/bCS2025VisanCI.pdf">Formal verification of pairing heaps in Rocq</a>. ~ Cosmin-Ionut Visan. #FormalVerification #ProofAssistants #Rocq</li> <li><a href="https://fse.studenttheses.ub.rug.nl/36509/1/Bachelors-Thesis-Leopold-Frieberger-Repository.pdf">Verified functional graph algorithms using the Rocq prover (Coq)</a>. ~ Leopold Frieberger. #FormalVerification #ProofAssistants #Rocq</li> <li><a href="https://fse.studenttheses.ub.rug.nl/36519/1/bCS2025DumitracheEM.pdf">Formal verification of leftist and skew heaps in Rocq</a>. ~ Elena Marcela Dumitrache. #FormalVerification #ProofAssistants #Rocq</li> <li><a href="https://mmhaskell.com/blog/2025/7/28/spiral-matrix-another-matrix-layer-problem">Comparing codes: Spiral matrix (another matrix layer problem)</a>. ~ James Bowen. #Haskell #FunctionalProgramming #Rust</li> <li><a href="https://github.com/harmonic-ai/IMO2025/">Harmonic's IMO 2025 results (Harmonic's model Aristotle achieved gold medal performance, solving 5 problems)</a>. #FormalVerification #ProofAssistant #LeanProver #LLMs #Math #IMO</li> <li><a href="https://jaalonso.github.io/exercitium/2018/11">#Exercitium: Problemas de programación con Haskell (noviembre de 2018)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/exercitium/2022/07">#Exercitium: Problemas de programación con Haskell (julio de 2022)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/exercitium/2022/06">#Exercitium: Problemas de programación con Haskell (junio de 2022)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>CoqProverFormalVerificationFunctionalProgrammingHaskellIMOITPLeanProverLLMsMachineLearningMathProofAssistantRocqRusthttps://jaalonso.github.io/vestigium/posts/2025/07/30-readings_shared_07-29-25/Wed, 30 Jul 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/07/29-readings_shared_07-28-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 28 July 2025 are</p> <ul> <li><a href="https://formalizedformallogic.github.io/Book/first_order/goedel1.html">Gödel's first incompleteness theorem (in Lean4)</a>. #FormalVerification #ProofAssistant #LeanProver #Logic #Math</li> <li><a href="https://formalizedformallogic.github.io/Book/">Formalized formal logic (in Lean4)</a>. #FormalVerification #ProofAssistant #LeanProver #Logic #Math</li> <li><a href="https://jaalonso.github.io/exercitium/2019/01">#Exercitium: Problemas de programación con Haskell (enero de 2019)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/exercitium/2018/12">#Exercitium: Problemas de programación con Haskell (diciembre de 2018)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>FormalVerificationFunctionalProgrammingHaskellLeanProverLogicMathProofAssistanthttps://jaalonso.github.io/vestigium/posts/2025/07/29-readings_shared_07-28-25/Tue, 29 Jul 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/07/28-readings_shared_07-27-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 27 July 2025 are</p> <ul> <li><a href="https://link.springer.com/article/10.1007/s10817-025-09735-8">Formally verified suffix array construction (in Isabelle/HOL)</a>. ~ Louis Cheung, Alistair Moffat, Christine Rizkallah. #FormalVerification #ProofAssistants #IsabelleHOL #Haskell #FunctionalProgramming</li> <li><a href="https://hustmphrrr.github.io/asset/papers/icfp25-mctt.pdf">McTT: A verified kernel for a proof assistant</a>. ~ Junyoung Jang et als. #ProofAssistants #Rocq</li> <li><a href="https://repository.tudelft.nl/file/File_6466eb89-91b7-4561-9933-236ae3f9e15b">Modelling cyclic structures in Agda (Evaluating Agda’s coinduction through modelling graphs)</a>. ~ Faizel Mangroe. #ProofAssistant #Agda</li> <li><a href="https://repository.tudelft.nl/file/File_56e70e9e-4f41-429c-a383-20c1bf61c16a">Encoding finite state automata in Agda using coinduction (Evaluating the support for coinduction in Agda)</a>. ~ Noky Soekarman. #FormalVerification #ProofAssistant #Agda</li> <li><a href="https://www.isa-afp.org/entries/Bisimulation_Logic.html">A meta-modal logic for bisimulations (in Isabelle/HOL)</a>. ~ Alfredo Burrieza, Fernando Soler-Toscano, Antonio Yuste-Ginel. #ITP #IsabelleHOL</li> <li><a href="https://arxiv.org/abs/2507.15225v1">Solving formal math problems by decomposition and iterative reflection</a>. ~ Yichi Zhou et als. #AI4Math #LLMs #ProofAssistants #LeanProver #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/exercitium/2019/02">#Exercitium: Problemas de programación con Haskell (febrero de 2019)</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>AgdaAI4MathFormalVerificationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathProofAssistantsRocqhttps://jaalonso.github.io/vestigium/posts/2025/07/28-readings_shared_07-27-25/Mon, 28 Jul 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/04/27-readings_shared_04-27-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 27 April 2025 are</p> <ul> <li><a href="https://youtu.be/bpCMklQeJKQ">Bitcoinolog: Reason about Bitcoin addresses with Prolog</a>. ~ Markus Triska. #Prolog #LogicProgramming</li> <li><a href="https://www.n16f.net/blog/working-with-common-lisp-pathnames/">Working with Common Lisp pathnames</a>. ~ Nicolas Martyanoff. #CommonLisp</li> <li><a href="https://openreview.net/pdf?id=5t9HFssPla">AI for program verification</a>. ~ Cristian Cadar, Abhik Roychoudhury. #AI #FormalVerification</li> <li><a href="https://www.logicmatters.net/resources/pdfs/SmithCat.pdf">Introducing category theory (Version 26 Apr 2025)</a>. ~ Peter Smith. #CategoryTheory</li> <li><a href="https://www.vivekhaldar.com/articles/the-levels-of-emacs-proficiency/">The levels of Emacs proficiency</a>. ~ Vivek Haldar (2011). #Emacs</li> </ul>AICategoryTheoryCommonLispEmacsFormalVerificationLogicProgrammingProloghttps://jaalonso.github.io/vestigium/posts/2025/04/27-readings_shared_04-27-25/Sun, 27 Apr 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/03/19-readings_shared_03-19-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 March 2025 are</p> <ul> <li><a href="https://lawrencecpaulson.github.io/2025/03/19/Trickier_lower_bound.html">A trickier lower bound proof</a>. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math</li> <li><a href="https://arxiv.org/abs/2503.14183">Can LLMs enable verification in mainstream programming?</a> ~ Aleksandr Shefer et als. #LLMs #Programming #FormalVerification</li> <li><a href="https://arxiv.org/abs/2503.13771">Towards AI-assisted academic writing</a>. ~ Daniel J. Liebling et als. #AI #LLMs</li> <li><a href="https://visualgo.net/en">VisuAlgo: Visualising data structures and algorithms through animation</a>. #Programming #CompSci</li> <li><a href="https://www.microsiervos.com/archivo/ordenadores/visualgo-visualmente-funcionan-algoritmos-estructuras-datos-resolver-problemas.html">VisuAlgo muestra visualmente cómo funcionan los algoritmos, las estructuras de datos y cómo resolver problemas</a>. ~ @Alvy. #Programación #Computación</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/05/02-matriz_toeplitz">#Exercitium: Matrices de Toepliz</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2021/05/17-propiedad_de_monotonia_de_la_interseccion/">Demostraciones de "Si s ⊆ t, entonces s ∩ u ⊆ t ∩ u" con Lean4 y con Isabelle/HOL</a>. #LeanProver #IsabelleHOL #Math #Calculemus</li> </ul>AICompSciFormalVerificationHaskellIsabelleHOLITPLeanProverLLMsMathProgramaciónFuncionalProgramminghttps://jaalonso.github.io/vestigium/posts/2025/03/19-readings_shared_03-19-25/Wed, 19 Mar 2025 04:00:00 GMT