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/2026/07/06-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/2026/05/10-readings_shared_05-09-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 9 May 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2605.02113v1">A shallow embedding of Datalog in Lean</a>. ~ Ramy Shahin. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2605.02331v1">Bennett's conjecture in Lean 4: Counter-models for the PSR-reducibility of Spinoza's propositions V and XIV</a>. ~ Yuki Nakamura. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.25962v1">Coherent rollout oracles for finite-horizon sequential decision problems</a>. ~ Nishant Shukla. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2604.18869">Global product intersection sets in semigroups</a>. ~ Wouter van Doorn, Pietro Monticone, Quanyu Tang. #LeanProver #ITP #Math</li> <li><a href="https://github.com/nileshtrivedi/lean-detective">LeanDetective: a Lean Library that can assist with deductive reasoning in crime investigations such as murder mysteries</a>. ~ Nilesh #LeanProver #ITP</li> <li><a href="https://gist.github.com/kim-em/20212c66bd144c5d3fa3b044402e2092">Mel Nathanson — How Harmonic's Aristotle solved some of my problems</a>. #LeanProver #ITP #Aristotle #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.01028v1">Stokes' theorem for smooth singular cubes in Lean 4: True pullback, bridges to mathlib4, and chain-level d²=0</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #LeanProver #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Aho_Corasick.html">Aho-Corasick string matching (in Isabelle/HOL)</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://arxiv.org/abs/2605.02474v1">Certified qualitative analysis of the SIR ODE and reusable scalar lemmas in Isabelle/HOL</a>. ~ David B. Hulak, Arthur F. Ramos, Ruy J. G. B. de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://isa-afp.org/entries/Nash_Equilibrium.html">Nash equilibria for finite games in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP</li> <li><a href="https://isa-afp.org/entries/Banach_Tarski.html">The Banach–Tarski paradox in Isabelle/HOL</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://philarchive.org/archive/FIEBQA">Between Qed and truth (The permanent axiom trust boundary in machine-verified mathematics)</a>. ~ Ryan Christopher Fields. #CoqProver #ITP #Math</li> <li><a href="https://www.atlantis-press.com/article/126023793.pdf">Formal verification of Pohlig-Hellman algorithm for computing discrete logarithms with Coq</a>. ~ Jeremiah Daniel A. Regalario et als. #CoqProver #ITP</li> <li><a href="https://link.springer.com/article/10.1007/s11225-026-10239-8">A general formalised framework for reasoning about display calculi</a>. ~ Rajeev Goré, Anthony Peigné. #RocqProver #ITP #Logic</li> <li><a href="https://lawrencecpaulson.github.io//2026/05/07/Mizar.html">Mizar: the first usable proof assistant for mathematics</a>. ~ Lawrence Paulson. #Mizar #ATP #Math</li> <li><a href="https://marcosh.github.io/post/2026/05/08/categorical-transformers.html">Categorical transformers</a>. ~ Marco Perone. #Haskell #FunctionalProgramming</li> <li><a href="https://well-typed.com/blog/2026/05/lay-annotation-land/">Exception annotations: Lay of the Land</a>. ~ Edsko de Vries. #Haskell #FunctionalProgramming</li> <li><a href="https://augustss.github.io/MicroHs/web-mhs/">MicroHs in the browser</a>. ~ Lennart Augustsson. #Haskell #FunctionalProgramming</li> <li><a href="https://www.chargueraud.org/research/2026/bbe/bbe-and-extended-matching.pdf">Functional pearl: Binding boolean expressions and extended pattern matching</a>. ~ Arthur Charguéraud, Yanni Lefki. #Ocaml #FunctionalProgramming</li> <li><a href="https://gowers.wordpress.com/2026/05/08/a-recent-experience-with-chatgpt-5-5-pro/">A recent experience with ChatGPT 5.5 Pro</a>. ~ Timothy Gowers. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06651v1">AI co-mathematician: Accelerating mathematicians with agentic AI</a>. ~ Daniel Zheng et als. #AI4Math</li> <li><a href="https://arxiv.org/abs/2605.06660v1">Verifier-backed hard problem generation for mathematical reasoning</a>. ~ Yuhang Lai, Jiazhan Feng, Yee Whye Teh, Ning Miao. #AI4Math</li> <li><a href="https://stanforddaily.com/2026/05/06/future-of-mathematics-symposium-2026/">‘Like space aliens landing’: Symposium weighs effect of AI on the future of mathematics</a>. ~ Angikar Ghosal. #AI4Math</li> <li><a href="https://brewminate.com/counting-beyond-mind-abacus-early-calculation/">Counting beyond the mind: The abacus and the origins of calculation</a>. ~ Matthew A. McIntosh. #Math #CompSci</li> <li><a href="https://brewminate.com/logarithms-slide-rules-human-reasoning/">Logarithms and slide rules: How calculation accelerated human reasoning</a>. ~ Matthew A. McIntosh. #Math #History</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/07-like-space-aliens-landing-symposium-weighs-effect-of-ai-on-the-future-of-mathematics/">Reseña de «'Like space aliens landing': Symposium weighs effect of AI on the future of mathematics»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/08-ai-co-mathematician-accelerating-mathematicians-with-agentic-ai/">Reseña de «AI co-mathematician: Accelerating mathematicians with agentic AI»</a>. #AI4Math</li> <li><a href="https://jaalonso.github.io/vestigium/posts/2026/05/09-una-experiencia-reciente-con-chatgpt-55-pro/">Reseña de «Timothy Gowers: A recent experience with ChatGPT 5.5 Pro»</a>. #AI4Math</li> </ul>AI4MathAristotleATPCompSciCoqProverFunctionalProgrammingHaskellHistoryIsabelleHOLITPLeanProverLogicMathMizarOCamlRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/05/10-readings_shared_05-09-26/Sun, 10 May 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/03/15-readings_shared_02-14-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 March 2026 are:</p> <ul> <li><a href="https://etaps.org/blog/043-leo-de-moura/">From SMT solvers to Lean and the future of automated reasoning</a>. ~ Leo de Moura, Nicola Gigante. #LeanProver #ITP</li> <li><a href="https://afm.episciences.org/17712">A formalization of Borel determinacy in Lean</a>. ~ Sven Manthe. #LeanProver #ITP #Math</li> <li><a href="https://afm.episciences.org/17678">Duality theory in linear optimization and its extensions - formally verified</a>. ~ Martin Dvorak, Vladimir Kolmogorov. #LeanProver #ITP #Math</li> <li><a href="https://www.stephendiehl.com/posts/caverna/">Optimal Caverna gameplay via formal methods</a>. ~ Stephen Diehl. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2603.10936v1">A formalization of abstract rewriting in Agda</a>. ~ Sam Arkle, Andrew Polonsky. #Agda</li> <li><a href="https://reference-global.com/download/article/10.2478/forma-2025-0007.pdf">Formalization of Wallis infinite product formula for π and the Wallis integral</a>. ~ Yasushige Watase. #Mizar #ITP #Math</li> <li><a href="https://reference-global.com/download/article/10.2478/forma-2025-0018.pdf">Formalization of separable version of Banach–Alaoglu theorem</a>. ~ Hiroyuki Okazaki, Takehiko Mieno. #Mizar #ITP #Math</li> <li><a href="https://www.preprints.org/manuscript/202603.1058">The evolution and societal impact of artificial intelligence in the 21st century</a>. ~ Monica Khadgi. #AI</li> </ul>AgdaAIITPLeanProverMathMizarhttps://jaalonso.github.io/vestigium/posts/2026/03/15-readings_shared_02-14-26/Sun, 15 Mar 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 19 February 2026 are:</p> <ul> <li><a href="https://arxiv.org/abs/2602.15409v1">Hennessy-Milner logic in CSLib, the Lean computer science library</a>. ~ Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.15078v1">Computer science as infrastructure: the spine of the Lean computer science library (CSLib)</a>. ~ Christopher Henson, Fabrizio Montesi. #LeanProver #ITP #CSLib #CompSci</li> <li><a href="https://arxiv.org/abs/2602.12891">Pursuit of truth and beauty in Lean 4: Formally verified theory of grammars, optimization, matroids</a>. ~ Martin Dvorak. #LeanProver #ITP #Math #CompSci</li> <li><a href="https://rish987.github.io/files/thesis.pdf">Translating proofs from Lean to Dedukti</a>. ~ Rishikesh Vaishnav. #LeanProver #Dedukti #ITP</li> <li><a href="https://rkirov.github.io/posts/sets-vs-types/">From sets in math to types in Lean: Subtype, Fin, Set, Finset, and Fintype</a>. ~ Rado Kirov. #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2602.08384v1">Towards real-world industrial-scale verification: LLM-driven theorem proving on seL4</a>. ~ Jianyu Zhang et als. #IsabelleHOL #ITP #LLMs</li> <li><a href="https://arxiv.org/abs/2602.11035v1">Towards term-based verification of diagrammatic equivalence</a>. ~ Julie Cailler, Noé Delorme, Simon Perdrix, Sophie Tourret. #IsabelleHOL #ITP</li> <li><a href="https://www.mdpi.com/2297-8747/31/1/25">A Rocq-based formalization of Hilbert’s geometry: Building a reusable foundation for 3D perpendicularity theory and verification</a>. ~ Qimeng Zhang, Wensheng Yu. #RocqProver #ITP #Math</li> <li><a href="https://reference-global.com/download/article/10.2478/forma-2025-0008.pdf">A formal proof of Stirling’s formula</a>. ~ Yasushige Watase. #Mizar #ITP #Math</li> <li><a href="https://arxiv.org/abs/2602.16324v1">Case study: Saturations as explicit models in equational theories</a>. ~ Mikoláš Janota, Michael Rawson, Stephan Schulz. #ATP #Vampire</li> <li><a href="https://leodemoura.github.io/blog/2026/02/18/proof-assistants-in-the-age-of-ai.html">Proof assistants in the age of AI</a>. ~ Leonardo de Moura. #AI4Math #ITP</li> <li><a href="https://arxiv.org/abs/2412.16543v1">Mathematics and machine creativity: A Survey on bridging mathematics with AI</a>. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong. #AI4Math #ITP</li> <li><a href="http://jaalonso.github.io/exercitium/posts/2015/02/24-matriz_zigzagueante/">#Exercitium: Matriz zigzagueante</a>. #Haskell #FunctionalProgramming #Math</li> </ul>AI4MathATPCompSciCSLibDeduktiFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathMizarRocqProverVampirehttps://jaalonso.github.io/vestigium/posts/2026/02/20-readings_shared_02-19-26/Fri, 20 Feb 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2026/01/15-readings_shared_01-14-26/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 14 January 2026 are:</p> <ul> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3779031.3779093">A lambda-superposition tactic for Isabelle/HOL</a>. ~ Massin Guerdi. #ITP #IsabelleHOL</li> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3779031.3779099">Adding sorts to an Isabelle formalization of superposition</a>. ~ Balazs Toth, Martin Desharnais-Schäfer, Jasmin Blanchette. #ITP #IsabelleHOL</li> <li><a href="https://web.stanford.edu/class/cs99/">Functional programming and theorem proving in Lean 4</a>. ~ Leni Aniva, Abdalrhman Mohamed. #LeanProver #FunctionalProgramming #ITP</li> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3779031.3779100">Cylindrical algebraic decomposition in Coq/Rocq</a>. ~ Quentin Vermande. #ITP #RocqProver</li> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3779031.3779097">Computing solutions for systems of multivariate ordinary differential equations in Rocq</a>. ~ Holger Thies- #ITP #RocqProver</li> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3779209.3779534">Computation-tree semantics: An algorithmic approach to structurally defined relations</a>. ~ Sean Kristian Remond Harbo, Hans Hüttel. #ITP #RocqProver</li> <li><a href="https://dl.acm.org/doi/pdf/10.1145/3776710">Formal verification for JavaScript regular expressions: A proven mechanized semantics and its applications</a>. ~ Aurèle Barrière, Victor Deng, Clément Pit-Claudel. #ITP #RocqProver</li> <li><a href="https://arxiv.org/abs/2601.03298v1">130k lines of formal topology in two weeks: Simple and cheap autoformalization for everyone?</a> ~ Josef Urban. #ITP #Mizar #LLMs #Math #Autoformalization</li> <li><a href="https://www.quantamagazine.org/using-ai-mathematicians-find-hidden-glitches-in-fluid-equations-20260109/">Using AI, mathematicians find hidden glitches in fluid equations</a>. ~ Charlie Wood. #AI #Math</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2015/01/26-numeros_naturales_separados_por_ceros/">#Exercitium: Números naturales separados por ceros</a>. #Haskell #FunctionalProgramming #Math</li> </ul>AIAutoformalizationFunctionalProgrammingHaskellIsabelleHOLITPLeanProverLLMsMathMizarRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/01/15-readings_shared_01-14-26/Thu, 15 Jan 2026 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/10/30-readings_shared_10-29-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 29 October 2025 are:</p> <ul> <li><a href="https://arxiv.org/abs/2510.24060">Formalizing Schwartz functions and tempered distributions</a>. ~ Moritz Doll. #ITP #LeanProver #Math</li> <li><a href="https://1000-plus.github.io/all">1000+ theorems (The spiritual successor of Freek’s list of 100 theorems</a>. Now with more than 1000 theorems!). ~ Katja Berčič et als. #Math #ITP #IsabelleHOL #HOL_Light #Rocq #LeanProver #Metamath #Mizar</li> <li><a href="https://arxiv.org/abs/2510.23637">Combining textual and structural information for premise selection in Lean</a>. ~ Job Petrovčič, David Eliecer Narvaez Denis, Ljupčo Todorovski. #AI #Math #ITP #LeanProver</li> <li><a href="https://arxiv.org/abs/2506.08588">Martin Davis: An overview of his work in logic, computer science, and philosophy</a>. ~ Liesbeth De Mol, Yuri V. Matiyasevich, Eugenio G. Omodeo, Alberto Policriti, Wilfried Sieg, Elaine J. Weyuker. #Logic #Math #CompSci</li> <li><a href="https://www.johndcook.com/blog/2025/10/28/freshmans-dream/">Freshman’s dream</a>. ~ John D. Cook. #Math #Python #Programming</li> <li><a href="https://cacm.acm.org/news/the-reasons-ai-may-act-secretive">The reasons AI may act secretive (Trained to reflect human behavior, AI models may share half-truths or purposely omit information)</a>. ~ Jennifer Goforth Gregory. #AI</li> <li><a href="https://cacm.acm.org/news/in-search-of-better-search/">In search of better search (Does AI improve, or misdirect, search engines and their results?)</a>. ~ Samuel Greengard. #GenAI</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/11/05-suma_de_todos_los_anteriores/">#Exercitium: Suma de todos los anteriores</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>AICompSciFunctionalProgrammingGenAIHaskellHOL_LightIsabelleHOLITPLeanProverLogicMathMetamathMizarProgrammingPythonRocqhttps://jaalonso.github.io/vestigium/posts/2025/10/30-readings_shared_10-29-25/Thu, 30 Oct 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/10/21-readings_shared_10-20-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 20 October 2025 are:</p> <ul> <li><a href="https://surim.stanford.edu/sites/g/files/sbiybj26191/files/media/file/freds_group_surim_2025_final_report_0.pdf">Formalizing Wigner’s semicircle law in Lean</a>. ~ Haoyan Jiang et als. #ITP #LeanProver #Math</li> <li><a href="https://repositories.lib.utexas.edu/server/api/core/bitstreams/aaa69649-caa2-4c06-bd35-3b585e008c56/content">Towards verifying the "Three amigos"</a>. ~ Carl Kwan. #ITP #ACL2 #Math</li> <li><a href="https://thmprover.wordpress.com/2025/10/19/pelletiers-problem-24-in-mizar/">Pelletier’s problem 24 in Mizar</a>. ~ Alex Nelson. #ITP #Mizar #Logic #Math</li> <li><a href="https://arxiv.org/abs/2510.15681">ProofBridge: Auto-formalization of natural language proofs in Lean via joint embeddings</a>. ~ Prithwish Jana et als. #ITP #LeanProver #Autoformalization #LLMs #Math</li> <li><a href="https://mmhaskell.com/blog/2025/10/20/spatial-dp-finding-the-largest-square">Spatial DP: Finding the largest square</a>. ~ James Bowen. #Haskell #FunctionalProgramming #RustLang</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/10/30-divisibles_por_el_primero/">#Exercitium: Divisibles por el primero</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> </ul>ACL2AutoformalizationFunctionalProgrammingHaskellITPLeanProverLLMsLogicMathMizarRustLanghttps://jaalonso.github.io/vestigium/posts/2025/10/21-readings_shared_10-20-25/Tue, 21 Oct 2025 05:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/06/28-readings_shared_06-27-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 27 June 2025 are</p> <ul> <li><a href="https://youtu.be/6uLXA9KROBg">Formalizing a proof in Lean by hand</a>. ~ Terence Tao. #ITP #LeanProver #Math</li> <li><a href="https://arxiv.org/abs/2506.18616v2">A formalization of the Ionescu-Tulcea theorem in Mathlib</a>. ~ Etienne Marion. #ITP #LeanProver #Math</li> <li><a href="https://arxiv.org/abs/2503.00959">Formalizing zeta and L-functions in Lean</a>. ~ David Loeffler, Michael Stoll. #ITP #LeanProver #Math</li> <li><a href="https://thmprover.wordpress.com/2025/06/24/redefinitions-in-mizar/">Redefinitions in Mizar</a>. ~ Alex Nelson. #ITP #Mizar #Math</li> <li><a href="https://openreview.net/pdf?id=HuvAM5x2xG">Position: Formal mathematical reasoning (a new frontier in AI)</a>. ~ Kaiyu Yang et als. #AI #LLMs #Math #AI4Math #ITP</li> <li><a href="https://arxiv.org/abs/2506.18383v1">LOGICPO: Efficient translation of NL-based logical problems to FOL using LLMs and preference optimization</a>. ~ Koushik Viswanadha, Deepanway Ghosal, Somak Aditay. #LLMs #Math #Autoformalization</li> </ul>AIAI4MathAutoformalizationCategoryTheoryCompSciITPLeanProverLLMsMathMizarhttps://jaalonso.github.io/vestigium/posts/2025/06/28-readings_shared_06-27-25/Sat, 28 Jun 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/06/23-readings_shared_06-22-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 22 June 2025 are</p> <ul> <li><a href="https://mizar.uwb.edu.pl/fm/fm33/surrealc.pdf">Conway’s normal form in the Mizar system</a>. ~ Karol Pąk. #ITP #Mizar #Math</li> <li><a href="https://mizar.uwb.edu.pl/fm/fm33/newton06.pdf">Application of complex classes to number theory (in Mizar)</a>. ~ Rafał Ziobro. #ITP #Mizar #Math</li> <li><a href="https://mizar.uwb.edu.pl/fm/fm33/gr_free0.pdf">Free product of groups (in Mizar)</a>. ~ Sebastian Koch. #ITP #Mizar #Math</li> <li><a href="https://mizar.uwb.edu.pl/fm/fm33/surreals.pdf">Surreal numbers: A study of square roots (in Mizar)</a>. ~ Karol Pąk. #ITP #Mizar #Math</li> <li><a href="https://mizar.uwb.edu.pl/fm/fm33/surrealn.pdf">Surreal dyadic and real numbers: A formal construction (in Mizar)</a>. ~ Karol Pąk. #ITP #Mizar #Math</li> </ul>ITPMathMizarhttps://jaalonso.github.io/vestigium/posts/2025/06/23-readings_shared_06-22-25/Mon, 23 Jun 2025 04:00:00 GMThttps://jaalonso.github.io/vestigium/posts/2025/03/23-readings_shared_03-23-25/José A. Alonso<p>The readings shared in <a href="https://bsky.app/profile/jalonso.bsky.social">Bluesky</a> on 23 March 2025 are</p> <ul> <li><a href="https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=10930874">A review on mechanical proving and formalization of mathematical theorems</a>. ~ Si Chen, Wensheng Yu, Guowei Dou, Qimeng Zhang. #ITP #Coq #IsabelleHOL #HOL_Light #Mizar #LeanProver #Math</li> <li><a href="https://arxiv.org/abs/1906.03930v1">Formalization of the axiom of choice and its equivalent theorems</a>. ~ Tianyu Sun, Wensheng Yu (2019). #ITP #Coq #SetTheory</li> <li><a href="https://www.researchgate.net/publication/339270363_A_Formal_Proof_in_Coq_of_Cantor-Bernstein-Schroeder's_Theorem_without_axiom_of_choice">A formal proof in Coq of Cantor-Bernstein-Schroeder’s theorem without axiom of choice (2019)</a>. #ITP #Coq #SetTheory</li> <li><a href="https://ieeexplore.ieee.org/document/8970457">A formal system of axiomatic set theory in Coq</a>. ~ Tianyu Sun, Wensheng Yu (2020). #ITP #Coq #SetTheory</li> <li><a href="https://link.springer.com/content/pdf/10.1007/978-3-030-52200-1_27.pdf">A formalization of properties of continuous functions on closed intervals</a>. Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math</li> <li><a href="https://www.mdpi.com/2227-7390/9/1/38">Formalization of the equivalence among completeness theorems of real number in Coq</a>. ~ Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math</li> <li><a href="https://www.mdpi.com/2227-7390/9/12/1377">Formalizing calculus without limit theory in Coq</a>. ~ Yaoshun Fu, Wensheng Yu (2021). #ITP #Coq #Math</li> <li><a href="https://link.springer.com/content/pdf/10.1007/978-981-19-2456-9_21.pdf">A formalization of topological spaces in Coq</a>. ~ Sheng Yan, Yaoshun Fu, Dakai Guo, and Wensheng Yu (2022). #ITP #Coq #Math #SetTheory</li> <li><a href="https://arxiv.org/abs/2407.06222">Formalization of the filter extension principle (FEP) in Coq</a>. ~ Guowei Dou, Wensheng Yu (2024). #ITP #Coq #Math #SetTheory</li> <li><a href="https://www-sop.inria.fr/marelle/gaia/RR-6999-v6.pdf">Implementation of Bourbaki's elements of mathematics in Coq: Part one, theory of sets</a>. ~ José Grimm (2009). #ITP #Coq #SetTheory</li> <li><a href="https://inria.hal.science/inria-00440786/file/RR-7150-v10.pdf">Implementation of Bourbaki’s elements of mathematics in Coq: Part two, ordered sets, cardinals, integers</a>. ~ José Grimm (2018). #ITP #Coq #Math</li> <li><a href="https://project-archive.inf.ed.ac.uk/ug4/20244250/ug4_proj.pdf">Concurrent games in Agda</a>. ~ Amy Yin. #ITP #Agda</li> <li><a href="https://jaalonso.github.io/exercitium/posts/2014/05/08-valor_de_un_polinomio/">#Exercitium: Valores de polinomios representados con vectores</a>. #Haskell #ProgramaciónFuncional #Matemáticas</li> <li><a href="https://jaalonso.github.io/calculemus/posts/2021/05/21-diferencia_de_diferencia_de_conjuntos_2">Demostraciones con Lean4 y con Isabelle/HOL de "s \ (t ∪ u) ⊆ (s \ t) \ u"</a>. #LeanProver #IsabelleHOL #Math #Calculemus</li> </ul>AgdaCoqFunctionalProgrammingHaskellHOL_LightIsabelleHOLITPLeanProverMathMizarSetTheoryhttps://jaalonso.github.io/vestigium/posts/2025/03/23-readings_shared_03-23-25/Sun, 23 Mar 2025 04:00:00 GMT