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/2026/07/27-readings_shared_07-27-26/José A. Alonso<p>The readings shared in <a href="https://mathstodon.xyz/@Jose_A_Alonso">Mastodon</a> on 27 July 2026 are:</p> <ul> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.35/LIPIcs.ITP.2026.35.pdf">A Lean tactic for normalizing expressions in an algebra over a ring</a>. ~ Arend Mellendijk. #LeanProver #ITP</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.26/LIPIcs.ITP.2026.26.pdf">An end-to-end verification of Keller’s conjecture</a>. ~ James Gallicchio, Cayden Codel, Jeremy Avigad, Marijn J. H. Heule. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20816v1">Cofinite zeros of high derivatives</a>. ~ Eric Hou. #LeanProver #ITP #Math</li> <li><a href="https://drops.dagstuhl.de/storage/00lipics/lipics-vol382-itp2026/LIPIcs.ITP.2026.19/LIPIcs.ITP.2026.19.pdf">Formalizing the Bruck–Ryser–Chowla theorem: Combinatorial design theory in Lean</a>. ~ Eric Jonathan Wang, Elif Uskuplu. #LeanProver #ITP</li> <li><a href="https://icms-conference.org/2026/papers/paper10/main.pdf">Formalizing the Wu-Ritt characteristic set method in Lean 4</a>. ~ Yuxuan Xiao, Hao Shen, Junyu Guo, Dingkang Wang, Lihong Zhi. #LeanProver #ITP #Math</li> <li><a href="https://arxiv.org/abs/2607.20186">From Dag-Like proofs to boolean circuits in Lean</a>. ~ Lorenzo Saraiva, Edward Hermann Haeusler. #LeanProver #ITP</li> <li><a href="https://link.springer.com/content/pdf/10.1007/978-3-032-32589-1_7.pdf">grind: An SMT-inspired tactic for Lean 4</a>. ~ Kim Morrison, Leonardo de Moura. #LeanProver #ITP</li> <li><a href="https://isa-afp.org/entries/Jacobian_Counterexample.html">Formal verification of an explicit counterexample to the jacobian conjecture</a>. ~ Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz. #IsabelleHOL #ITP #Math</li> <li><a href="https://eprint.iacr.org/2026/1490.pdf">On the formal verification of polynomial commitments: two KZG constructions and the algebraic group model</a>. ~ Tobias Rothmann. #IsabelleHOL #ITP</li> <li><a href="https://www.cs.ru.nl/bachelors-theses/2026/Sophie_Krijgsman___1072493___Formalising_Standard_Deontic_Logic_and_Dyadic_Deontic_Logic_in_Rocq.pdf">Formalising standard deontic logic and dyadic deontic logic in Rocq</a>. ~ Sophie Krijgsman. #RocqProver #ITP #Logic</li> <li><a href="https://people.cs.nott.ac.uk/pszgmh/pickard-thesis.pdf">Dependent types for compiler calculation</a>. ~ Mitchell Pickard. #Agda #ITP</li> <li><a href="https://arxiv.org/abs/2607.17292v1">Topology in synthetic domain theory and its formalisation in Agda</a>. ~ Runze Xue. #Agda #ITP #Math</li> <li><a href="https://qiqt.org/QIQT_AI_Methodology.pdf">An audited human-AI loop for trustworthy Lean formalization: axiom-budget auditing, a goal-directed state report, and a conditional general-relativity case study</a>. ~ Paweł Kapłański. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.21187v1">Case study: proving sqrt(2) irrational with LPTP and an LLM</a>. ~ Fred Mesnard, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://arxiv.org/abs/2607.21196v1">Case study: solving P-99 with LPTP and an LLM</a>. ~ Fred Mesnard, Thierry Marianne, Étienne Payet, Wim Vanhoof. #AI4Math #LPTP #Prolog</li> <li><a href="https://www.gaussianos.com/encontrado-un-contraejemplo-de-la-conjetura-jacobiana-con-claude-fable-5/">Encontrado un contraejemplo de la conjetura jacobiana con Claude Fable 5</a>. ~ Miguel Ángel Morales. #AI4Math</li> <li><a href="https://xenaproject.wordpress.com/2026/07/20/human-mathematicians-are-being-outcounterexampled/">Human mathematicians are being outcounterexampled</a>. ~ Kevin Buzzard. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/ai-views-interview.html">Interview: Terence Tao on AI</a>. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.20503v1">LeanFlow: A case study in workflow-driven Lean autoformalization</a>. ~ Lazar Milikic, Simon Guilloud, Khanh Nguyen, Viktor Kuncak. #AI4Math #LeanProver #ITP</li> <li><a href="https://arxiv.org/abs/2607.17388v1">Mathematical discovery in the wild: AI-guided proofs in Banach space theory</a>. ~ Antonio Acuaviva, Pablo Acuaviva. #AI4Math</li> <li><a href="https://teorth.github.io/tao-web/slides/age-of-ai-icm-2026.pdf">Mathematics in the age of AI</a>. ~ Terence Tao. #AI4Math</li> <li><a href="https://arxiv.org/abs/2607.17477">On some problems from the Kourovka notebook</a>. ~ Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison. #AI4Math #LeanProver #ITP #Aristotle</li> <li><a href="https://mathoverflow.net/questions/513540/should-we-trust-ai-generated-formal-proofs-in-lean-4">Should we trust AI-generated formal proofs in Lean 4? ~ MathOverflow</a>. #AI4Math</li> <li><a href="https://github.com/TauCetiProject/TauCeti">Tau Ceti: a repository of formal mathematics, directed by human-written roadmaps, implemented and maintained by AI contributors, subject to adversarial review</a>. ~ Kim Morrison et als. #AI4Math #LeanProver #ITP</li> <li><a href="https://teorth.github.io/tao-web/ai-views.html">Terence Tao on AI in mathematics (and beyond)</a>. #AI4Math</li> <li><a href="https://web.mathi.uni-heidelberg.de/media/How_To_Read_Math_88bf1d2d47.pdf">How to read mathematics? (A study guide)</a>. ~ Petra Schwer. #Math</li> <li><a href="https://images.nvidia.com/pdf/Open-Weights-and-American-AI-Leadership.pdf">Open weights and american AI leadership</a>. #AI</li> </ul>AgdaAIAI4MathAristotleIsabelleHOLITPLeanProverLogicMathPrologRocqProverhttps://jaalonso.github.io/vestigium/posts/2026/07/27-readings_shared_07-27-26/Mon, 27 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 GMT