https://github.com/jaalonso/lecturas_glc

Readings on computational logic, interactive theorem proving and functional programming.
https://github.com/jaalonso/lecturas_glc
coq functional-programming haskell isabelle-hol itp leanprover logic logic-programming prolog
Last synced: about 1 year ago
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Readings on computational logic, interactive theorem proving and functional programming.
Host: GitHub
URL: https://github.com/jaalonso/lecturas_glc
Owner: jaalonso
License: gpl-3.0
Created: 2016-12-31T14:59:04.000Z (over 9 years ago)
Default Branch: master
Last Pushed: 2025-04-08T10:04:56.000Z (about 1 year ago)
Last Synced: 2025-04-10T01:13:05.187Z (about 1 year ago)
Topics: coq, functional-programming, haskell, isabelle-hol, itp, leanprover, logic, logic-programming, prolog
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Open Issues: 1
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- Readme: README.org
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Awesome Lists containing this project

README

          #+OPTIONS: ^:nil

#+TITLE: Readings on computational logic, interactive theorem proving and functional programming

This repository is a collection of readings shared on [[https://twitter.com/Jose_A_Alonso][Twitter]] about

computational logic, interactive theorem proving and functional programming.

The collection is sorted by the date of its publication on [[https://twitter.com/Jose_A_Alonso][Twitter]].

At the end of each article you will find tags related to the systems it uses or

its content.

* Content                                                                      :TOC:

- [[#lecturas-del-año-2025][Lecturas del año 2025]]

  - [[#abril-2025][Abril 2025]]

  - [[#marzo-2025][Marzo 2025]]

  - [[#febrero-2025][Febrero 2025]]

  - [[#enero-2025][Enero 2025]]

- [[#lecturas-del-año-2024][Lecturas del año 2024]]

  - [[#diciembre-2024][Diciembre 2024]]

  - [[#noviembre-2024][Noviembre 2024]]

  - [[#octubre-2024][Octubre 2024]]

  - [[#septiembre-2024][Septiembre 2024]]

  - [[#agosto-2024][Agosto 2024]]

  - [[#julio-2024][Julio 2024]]

  - [[#junio-2024][Junio 2024]]

  - [[#mayo-2024][Mayo 2024]]

  - [[#abril-2024][Abril 2024]]

  - [[#marzo-2024][Marzo 2024]]

  - [[#febrero-2024][Febrero 2024]]

  - [[#enero-2024][Enero 2024]]

- [[#lecturas-del-año-2023][Lecturas del año 2023]]

  - [[#diciembre-2023][Diciembre 2023]]

  - [[#noviembre-2023][Noviembre 2023]]

  - [[#octubre-2023][Octubre 2023]]

  - [[#septiembre-2023][Septiembre 2023]]

  - [[#agosto-2023][Agosto 2023]]

  - [[#julio-2023][Julio 2023]]

  - [[#junio-2023][Junio 2023]]

  - [[#mayo-2023][Mayo 2023]]

  - [[#abril-2023][Abril 2023]]

  - [[#marzo-2023][Marzo 2023]]

  - [[#febrero-2023][Febrero 2023]]

  - [[#enero-2023][Enero 2023]]

- [[#lecturas-del-año-2022][Lecturas del año 2022]]

  - [[#diciembre-2022][Diciembre 2022]]

  - [[#noviembre-2022][Noviembre 2022]]

  - [[#octubre-2022][Octubre 2022]]

  - [[#septiembre-2022][Septiembre 2022]]

  - [[#agosto-2022][Agosto 2022]]

  - [[#julio-2022][Julio 2022]]

  - [[#junio-2022][Junio 2022]]

  - [[#mayo-2022][Mayo 2022]]

  - [[#abril-2022][Abril 2022]]

  - [[#marzo-2022][Marzo 2022]]

  - [[#febrero-2022][Febrero 2022]]

  - [[#enero-2022][Enero 2022]]

- [[#lecturas-del-año-2021][Lecturas del año 2021]]

  - [[#diciembre-2021][Diciembre 2021]]

  - [[#noviembre-2021][Noviembre 2021]]

  - [[#octubre-2021][Octubre 2021]]

  - [[#septiembre-2021][Septiembre 2021]]

  - [[#agosto-2021][Agosto 2021]]

  - [[#julio-2021][Julio 2021]]

  - [[#junio-2021][Junio 2021]]

  - [[#mayo-2021][Mayo 2021]]

  - [[#abril-2021][Abril 2021]]

  - [[#marzo-2021][Marzo 2021]]

  - [[#febrero-2021][Febrero 2021]]

  - [[#enero-2021][Enero 2021]]

- [[#lecturas-anteriores][Lecturas anteriores]]

* Lecturas del año 2025

** Abril 2025

*** 07-Abr-25

+ [[https://arxiv.org/abs/2504.03460][Verified program extraction in number theory: The fundamental theorem of arithmetic and relatives]]. ~ Franziskus Wiesnet. #ITP #Minlog #Haskell #FunctionalProgramming #Math

+ [[https://remydegenne.github.io/CLT/blueprint][Central limit theorem in Lean]]. ~ Rémy Degenne. #ITP #LeanProver #Math

+ [[https://alexkontorovich.github.io/PrimeNumberTheoremAnd/web/][Prime number theorem and more in Lean]]. ~ Alex Kontorovich. #ITP #LeanProver #Math

+ [[https://github.com/kebekus/ProjectVD][Formalizing value distribution theory in Lean]]. ~ Stefan Kebekus. #ITP #LeanProver #Math

+ [[https://github.com/rami3l/plfl][Learn Lean 4 with PLFA (Programming Language Foundations in Agda) proofs]]. ~ rami3l. #ITP #LeanProver

+ [[https://yaeldillies.github.io/ChandraFurstLipton/][Chandra-Furst-Lipton (A digitisation of the number on the forehead model in Lean)]]. ~ Yaël Dillies. #ITP #LeanProver #Math

+ [[https://yaeldillies.github.io/Toric/][Toric varieties in Lean (Formalisation of toric varieties in Lean 4)]]. ~ Yaël Dillies, Paul Lezeau, Patrick Luo, Michał Mrugała, Justus Springer, Andrew Yang. #ITP #LeanProver #Math

+ [[https://yaeldillies.github.io/LeanAPAP/][Arithmetic progressions - almost periodicity (A digitisation of the Kelley-Meka bound on Roth numbers in Lean)]]. ~ Thomas Bloom, Yaël Dillies. #ITP #LeanProver #Math

+ [[https://github.com/benjaminselfridge/group-theory-course/tree/main][Lecture notes for an introductory course in group theory]]. ~ Ben Selfridge. #ITP #LeanProver #Math

+ [[https://schurr.io/pubs/phd-thesis.pdf][Stronger SMT solvers for proof assistants (Proofs, quantifier simplification, strategy schedules)]]. ~ Hans-Jörg Schurr. #ATP #SMT #ITP #IsabelleHOL

+ [[https://lexi-lambda.github.io/blog/2021/03/25/an-introduction-to-typeclass-metaprogramming/][An introduction to typeclass metaprogramming]]. ~ Alexis King. #Haskell #FunctionalProgramming

+ [[https://youtu.be/m3cbgebcKng][meta_predicate declarations]]. ~ Markus Triska. #Prolog #LogicProgramming

*** 06-Abr-25

+ [[https://prologsource.wordpress.com/2025/04/05/prolog-vs-llms-a-complementary-approach-to-ai-according-to-deepseek/][Prolog vs LLMs: A complementary approach to AI (according to DeepSeek)]]. #Prolog #LogicProgramming #LLMs #AI

*** 05-Abr-25

+ [[https://ai.gopubby.com/building-ai-for-mathematical-reasoning-996a81eb8b72][Building AI for mathematical reasoning]]. ~ Chris Garcia. #Prolog #LogicProgramming #Logic #Math

*** 04-Abr-25

+ [[https://youtu.be/plpPffJOKu8][Learning Lean in the age of Artificial Intelligence]]. ~ Adolfo Neto. #ITP #LeanProver

+ [[https://entropicthoughts.com/guessing-game-haskell-style][Guessing game: Haskell style]]. ~ kqr. #Haskell #FunctionalProgramming

+ [[https://thunderseethe.dev/posts/function-application-grow-a-spine/][Function application needs to grow a spine already]]. ~ Thunderseethe. #Haskell #FunctionalProgramming

+ [[https://blog.ezyang.com/2025/04/why-you-should-maintain-a-personal-llm-coding-benchmark/][Why you should maintain a personal LLM coding benchmark]]. ~ Edward Z. Yang. #LLMs #Programming

*** 03-Abr-25

+ [[https://www.isa-afp.org/entries/Morley_Theorem.html][Morley's theorem (in Isabelle/HOL)]]. ~ Benjamin Puyobro. #ITP #IsabelleHOL #Math

+ [[https://books.google.com/books?id=4Xc2EQAAQBAJ][Category theory using Haskell (An introduction with Moggi and Yoneda)]]. ~ Shuichi Yukita. #CategoryTheory #Math #Haskell #FunctionalProgramming

+ [[https://repository.tudelft.nl/file/File_a98b6c93-4017-42c5-bb8f-df68da0d7034][LeanSolver: Solving theorems through large language models and search]]. ~ Avi Luciano Halevy  #LLMs #ITP #LeanProver

+ [[https://youtu.be/TFBzP78Jp6A][AlphaProof: when reinforcement learning meets formal mathematics]]. ~ Thomas Hubert. #AlphaProof #AI #Math

*** 02-Abr-25

+ [[https://leanprover-community.github.io/blog/posts/basic-probability-in-mathlib/][Basic probability in Mathlib]]. ~ Rémy Degenne. #ITP #LeanProver #Mathlib #Math

+ [[https://arxiv.org/abs/2504.00263][GOL in GOL in HOL: Verified circuits in Conway's game of life]]. ~ Magnus O. Myreen, Mario Carneiro. #ITP #HOL4

+ [[https://blog.poisson.chat/posts/2025-03-30-breadth-first-unfolds.html][Unfolding trees breadth-first in Haskell]]. ~ Li-yao Xia. #Haskell #FunctionalProgramming

+ [[https://blog.jle.im/entry/faking-adts-and-gadts.html][Faking ADTs and GADTs in languages that shouldn't have them]]. ~ Justin Lê. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2503.21934][Proof or bluff? Evaluating LLMs on 2025 USA math olympiad]]. ~ Ivo Petrov et als. #LLMs #Math

+ [[https://www.taut-logic.com][TAUT2 (Here you will find various types of randomly-generated, self-correcting logic excercises)]]. #Logic

+ [[http://logic.stanford.edu/logica][Logica (Tools for thought)]]. #Logic

*** 01-Abr-25

+ [[https://www.philipzucker.com/knuck_prolog/][A small Prolog on the Z3 AST]]. ~ Philip Zucker. #Prolog #LogicProgramming #Z3 #SMT

+ [[https://arxiv.org/abs/2502.00212][STP: Self-play LLM theorem provers with iterative conjecturing and proving]]. ~ Kefan Dong, Tengyu Ma. #AI #LLMs #ITP #LeanProver

+ [[https://sugaku.net/content/ai-benchmarks-vs-real-math-research/][The disconnect between AI benchmarks and math research (Evaluating AI systems on their ability to be a mathematical copilot)]]. ~ Ralph Furman. #AI #LLMs #Math

+ [[https://sugaku.net/content/understanding-the-cultural-divide-between-mathematics-and-ai/][The cultural divide between mathematics and AI (A reflection on cultural differences observed at the 2025 Joint Mathematics Meeting)]]. ~ Ralph Furman. #AI #LLMs #Math

** Marzo 2025

*** 31-Mar-25

+ [[https://research.temporallogic.org/papers/WKR25.pdf][Formally verifying a transformation from MLTL formulas to regular expressions]]. ~ Zili Wang, Katherine Kosaian, Kristin Yvonne Rozier. #ITP #IsabelleHOL

*** 30-Mar-25

+ [[https://johnwickerson.github.io/papers/vera_LATTE25.pdf][Towards mechanized verification of Verilog equivalence checking]]. ~ Michalis Pardalos, Laura Pozzi, John Wickerson. #ITP #Coq

+ [[https://blog.zksecurity.xyz/posts/clean/][Introducing clean, a formal verification DSL for zk circuits in Lean4]]. ~ Giorgio Dell'Immagine. #ITP #LeanProver

*** 29-Mar-25

+ [[https://arxiv.org/abs/2503.19605][Lean formalization of generalization error bound by Rademacher complexity]]. ~ Sho Sonoda, Kazumi Kasaura, Yuma Mizuno, Kei Tsukamoto, Naoto Onda. #ITP #LeanProver

*** 28-Mar-25

+ [[https://raw.githubusercontent.com/gteege/gentle-isabelle/refs/heads/main/man-isabelle.pdf][A gentle introduction to Isabelle and Isabelle/HOL]]. ~ Gunnar Teege. #ITP #IsabelleHOL

+ [[https://youtu.be/rmMYFmlUbJ8][Verified collaboration: How Lean is transforming mathematics, programming, and AI]]. ~ Leonardo de Moura. #ITP #LeanProver #Math #Programming #AI

+ [[https://lawrencecpaulson.github.io/2025/03/28/Induction_Fetzer.html][The philosophical problem of induction, and the problem of Fetzer]]. ~ Lawrence Paulson. #Philosophy #Math #CompSci

*** 27-Mar-25

+ [[https://arxiv.org/abs/2503.18821][Formalization of optimality conditions for smooth constrained optimization problems]]. ~ Chenyi Li et als. #ITP #LeanProver

+ [[https://arxiv.org/abs/2503.18806][Formalization of algorithms for optimization with block structures]]. ~ Chenyi Li, Zichen Wang et als. #ITP #LeanProver

+ [[https://arxiv.org/abs/2503.17159][Bi-intuitionistic logics through the abstract algebraic logic lens]]. ~ Jonte Deakin, Ian Shillito. #ITP #Coq #Rocq #Logic

+ [[https://arxiv.org/abs/2503.20461v1][Automated reasoning in blockchain: Foundations, applications, and frontiers]]. ~ Hojer Key. #ITP #Blockchain

+ [[https://youtube.com/playlist?list=PLF1Z-APd9zK7usPMx3LGMZEHrECUGodd3][Functional programming in Haskell]]. ~ Graham Hutton. #Haskell #FunctionalProgramming

+ [[https://www.youtube.com/live/db-KjKOBMeA][The Haskell Unfolder Episode 41: Generic monoids]]. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

+ [[https://terrytao.wordpress.com/2025/03/26/decomposing-a-factorial-into-large-factors/][Decomposing a factorial into large factors]]. ~ Terence Tao. #Math

+ [[https://aperiodical.com/2025/03/5-mathematics-of-the-i-ching/][Mathematics of the “I Ching”]]. ~ Peter Rowlett. #Math #TeXLaTeX

+ [[https://burjcdigital.urjc.es/server/api/core/bitstreams/c5a03eda-4615-4b16-a6ab-650bad265f1e/content][Apuntes de programación lógica (Hasta Prolog y más allá)]]. ~ Joaquín Arias. #LogicProgramming #Prolog #CLP

*** 26-Mar-25

+ [[https://www.isa-afp.org/entries/Dilworth.html][Formal proof of Dilworth's theorem (in Isabelle/HOL)]]. ~ Vivek Soorya Maadoori et als. #ITP #IsabelleHOL #Math

+ [[https://arxiv.org/abs/2412.16543][Mathematics and machine creativity: A survey on bridging mathematics with AI]]. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong, Tianming Liu. #AI #Math

+ [[https://arxiv.org/abs/2503.19280][LogicLearner: A tool for the guided practice of propositional logic proofs]]. ~ Amogh Inamdar et als. #Logic

*** 25-Mar-25

+ [[https://arxiv.org/abs/2501.03352v1][Teaching "Foundations of Mathematics" with the Lean theorem prover]]. ~ Mattia Luciano Bottoni, Alberto Cattaneo, Elif Sacikara. #ITP #LeanProver #Math

+ [[https://www.reddit.com/r/emacs/comments/1jhjgnu/the_book_of_the_church_of_emacs_satirical_ten/][Ten Commandments of the Church of Emacs]]. #Emacs

*** 24-Mar-25

+ [[https://github.com/fraware/leanverifier][Formal verification of machine learning models in Lean]]. ~ Matéo H. Petel. #ITP #LeanProver #MachineLearning

+ [[https://borretti.me/article/why-lisp-syntax-works][Why Lisp syntax works]]. ~ Fernando Borretti. #Lisp #Programming

+ [[https://math-gpt.org/][MathGPT: Your personal math solver (Get instant homework help from your on-demand AI math solver)]]. #AI #LLMs #Math

+ [[https://www.microsiervos.com/archivo/matematicas/mathgpt-resolver-problemas-matematicos-ayudar-deberes.html][MathGPT: una herramienta para resolver problemas matemáticos y ayudar con los deberes]]. ~ @Alvy. #IA #LLMs #Matemáticas

*** 23-Mar-25

+ [[https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=10930874][A review on mechanical proving and formalization of mathematical theorems]]. ~ Si Chen, Wensheng Yu, Guowei Dou, Qimeng Zhang. #ITP #Coq #IsabelleHOL #HOL_Light #Mizar #LeanProver #Math

+ [[https://arxiv.org/abs/1906.03930v1][Formalization of the axiom of choice and its equivalent theorems]]. ~ Tianyu Sun, Wensheng Yu (2019). #ITP #Coq #SetTheory

+ [[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)]]. #ITP #Coq #SetTheory

+ [[https://ieeexplore.ieee.org/document/8970457][A formal system of axiomatic set theory in Coq]]. ~ Tianyu Sun, Wensheng Yu (2020). #ITP #Coq #SetTheory

+ [[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]]. Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math

+ [[https://www.mdpi.com/2227-7390/9/1/38][Formalization of the equivalence among completeness theorems of real number in Coq]]. ~ Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math

+ [[https://www.mdpi.com/2227-7390/9/12/1377][Formalizing calculus without limit theory in Coq]]. ~ Yaoshun Fu, Wensheng Yu (2021). #ITP #Coq #Math

+ [[https://link.springer.com/content/pdf/10.1007/978-981-19-2456-9_21.pdf][A formalization of topological spaces in Coq]]. ~ Sheng Yan, Yaoshun Fu, Dakai Guo, and Wensheng Yu (2022). #ITP #Coq #Math #SetTheory

+ [[https://arxiv.org/abs/2407.06222][Formalization of the filter extension principle (FEP) in Coq]]. ~ Guowei Dou, Wensheng Yu (2024). #ITP #Coq #Math #SetTheory

+ [[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]]. ~ José Grimm (2009). #ITP #Coq #SetTheory

+ [[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]]. ~ José Grimm (2018). #ITP #Coq #Math

+ [[https://project-archive.inf.ed.ac.uk/ug4/20244250/ug4_proj.pdf][Concurrent games in Agda]]. ~ Amy Yin. #ITP #Agda

*** 22-Mar-25

+ [[https://entropicthoughts.com/non-obvious-haskell-idiom-guard-sequence][Non-obvious Haskell idiom: Guard-sequence]]. ~ kqr. #Haskell #FunctionalProgramming

+ [[https://books.google.com/books?id=n38pEQAAQBAJ][Learn Haskell by example]]. ~ Phillip Hagenlocher. #Haskell #FunctionalProgramming

*** 21-Mar-25

+ [[https://arxiv.org/abs/2503.15541v1][Case study: Verified Vampire proofs in the LambdaPi-calculus modulo]]. ~ Anja Petković Komel, Michael Rawson, Martin Suad. #ATP #Vampire #Dedukti

+ [[https://www.tweag.io/blog/2025-03-20-lh-release/][A hundred pull requests for Liquid Haskell]]. ~ Facundo Domínguez. #Liquid #Haskell #FunctionalProgramming #SMT

+ [[https://www.science.org/doi/10.1126/science.adw5211][Artificial intelligence learns to reason]]. ~ Melanie Mitchell. #AI #LLMs #Reasoning

*** 19-Mar-25

+ [[https://lawrencecpaulson.github.io/2025/03/19/Trickier_lower_bound.html][A trickier lower bound proof]]. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math

+ [[https://arxiv.org/abs/2503.14183][Can LLMs enable verification in mainstream programming?]] ~ Aleksandr Shefer et als. #LLMs #Programming #FormalVerification

+ [[https://arxiv.org/abs/2503.13771][Towards AI-assisted academic writing]]. ~ Daniel J. Liebling et als. #AI #LLMs

+ [[https://visualgo.net/en][VisuAlgo: Visualising data structures and algorithms through animation]]. #Programming #CompSci

+ [[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]]. ~ @Alvy. #Programación #Computación

*** 18-Mar-25

+ [[https://www.johndcook.com/blog/2025/03/17/lessons-learned-with-the-z3-sat-smt-solver][Lessons learned with the Z3 SAT/SMT solver]]. ~ John D. Cook. #SMT #Z3

+ [[https://acnsci.org/journal/index.php/cte/article/view/838/860][Teaching logic programming: a review]]. ~ Serhiy O. Semerikov, Iryna S. Mintii, Natalia V. Moiseienko. #LogicProgramming #Prolog #ASP #CLP #Datalog

+ [[https://funcall.blogspot.com/2025/03/series-vs-streams.html][Series vs. streams]]. ~ Joe Marshall. #CommonLisp

*** 17-Mar-25

+ [[https://bahr.io/pubs/files/calctyper-paper.pdf][The calculated typer]]. ~ Zac Garby, Patrick Bahr, Graham Hutton. #Haskell #FunctionalProgramming

*** 16-Mar-25

+ [[https://www.johndcook.com/blog/2025/03/15/permutations-question/][Permutations with no consecutive elements]]. ~ John D. Cook. #Math #Python #Programming

*** 15-Mar-25

+ [[https://lawrencecpaulson.github.io/2025/03/14/revisiting_demillo.html][Revisiting an early critique of formal verification]]. ~ Lawrence Paulson. #ITP #Math #FormalVerification

+ [[https://grantjurgensen.com/posts/schroder-berstein-acl2/][A proof of the Schröder-Bernstein theorem in ACL2]]. ~ Grant Jurgensen. #ITP #ACL2 #Math

+ [[https://books.google.com/books/?id=ciVOEQAAQBAJ][Principles of rule-based programming]]. ~ Thom Frühwirth. #CHR #Constraint #LogicProgramming

+ [[https://www.doc.ic.ac.uk/~dfg/ProbabilisticInference/InferenceAndMachineLearningNotes.pdf][Mathematics for inference and machine learning]]. ~ Marc Deisenroth, Stefanos Zafeiriou. #Math #MachineLearning

+ [[https://notxor.nueva-actitud.org/2019/11/26/introduccion-a-emacs.html][Introducción a la Introducción de Emacs]]. ~ Notxor. #Emacs

*** 14-Mar-25

+ [[https://www.youtube.com/live/78CQ2A5_EvI][La théorie des types, de Russell aux assistans à la demostration]]. ~ Thierry Coquand. #TypeTheory #ITP #Logic #Math

+ [[https://arxiv.org/abs/2503.09730][Local look-ahead guidance via verifier-in-the-loop for automated theorem proving]]. ~ Sara Rajaee, Kumar Pratik, Gabriele Cesa, Arash Behboodi. #LLMs #LeanProver

+ [[https://www.cis.upenn.edu/~jean/math-deep.pdf][Algebra, topology, differential calculus, and optimization theory for computer science and machine learning]]. ~ Jean Gallier, Jocelyn Quaintance. #Math #CompSci #MachineLearning

+ [[https://theconversation.com/las-matematicas-son-sobre-todo-hermosas-251976][Las matemáticas son, sobre todo, hermosas]]. ~ Marta Macho-Stadler. #Matemáticas

*** 13-Mar-25

+ [[https://github.com/b-mehta/formalising-mathematics-notes][Course notes for "Formalising Mathematics 2025"]]. ~ Bhavik Mehta et als. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2410.06209][LeanAgent: Lifelong learning for formal theorem proving]]. ~ Adarsh Kumarappan, Mo Tiwari, Peiyang Song, Robert Joseph George, Chaowei Xiao, Anima Anandkumar. #LLMs #ITP #LeanProver #Math

+ [[https://www.youtube.com/live/0QTt2W7CVnA][The Haskell Unfolder Episode 40: Understanding through a model]]. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

*** 12-Mar-25

+ [[https://arxiv.org/abs/2503.07625][A formal proof of the irrationality of ζ(3) in Lean 4]]. ~ Junqi Liu, Jujian Zhang, Lihong Zhi. #ITP #LeanProver #Math

*** 11-Mar-25

+ [[https://www.joachim-breitner.de/blog/816-Extrinsic_termination_proofs_for_well-founded_recursion_in_Lean][Extrinsic termination proofs for well-founded recursion in Lean]]. ~ Joachim Breitner. #ITP #LeanProver

+ [[https://www.philipzucker.com/knuth_bendix_knuck/][Knuth Bendix solver on Z3 AST]]. ~ Philip Zucker. #SMT #Z3

+ [[https://thonyc.wordpress.com/2025/02/12/books-on-the-history-of-mathematics-some-thoughts/][Books on the history of mathematics, some thoughts]]. ~ Thony Christie. #Math

+ [[https://arxiv.org/abs/2405.06705][LLMs can find mathematical reasoning mistakes by pedagogical chain-of-thought]]. ~ Zhuoxuan Jiang et als. #LLMs #Math

+ [[https://arxiv.org/abs/2503.06812][Can proof assistants verify multi-agent systems? ~ Julian Alfredo Mendez, Timotheus Kampik]]. #MAS #FormalVerification #LeanProver #Scala

+ [[https://arxiv.org/abs/2502.17764][DeepSeek vs. ChatGPT vs. Claude: A comparative study for scientific computing and scientific machine learning tasks]]. ~ Qile Jiang, Zhiwei Gao, George Em Karniadakis. #LLMs #Math

+ [[https://www.quantamagazine.org/why-do-researchers-care-about-small-language-models-20250310/][Why do researchers care about small language models?]] ~ Stephen Ornes. #LLMs #SMLs

+ [[https://www.danliden.com/notes/20250308-registers-1.html][Navigating between points with registers]]. ~ Daniel Liden. #Emacs

*** 10-Mar-25

+ [[https://www.doc.ic.ac.uk/~afd/papers/2025/FormaliSE.pdf][The burden of proof: Automated tooling for rapid iteration on large mechanised proofs]]. ~ Chengsong Tan, Alastair F. Donaldson, Jonathan Julián Huerta y Munive, John Wickerson. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2503.04763][MiniF2F in Rocq: Automatic translation between proof assistants (a case study)]]. ~ Jules Viennot, Guillaume Baudart, Emilio Jesúss Gallego Arias, Marc Lelarge. #LLMs #Rocq #LeanProver #IsabelleHOL #Math

+ [[https://arxiv.org/abs/2503.04772][Generating millions of Lean theorems with proofs by exploring state transition graphs]]. ~ David Yin, Jing Gao. #LLMs #LeanProver #Math

+ [[https://www.wired.com/story/new-proofs-expand-the-limits-of-what-cannot-be-known/][New proofs expand the limits of what cannot be known (By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability)]]. ~ Joseph Howlett. #Math

+ [[https://hal.science/hal-04974699/document][Les sept problèmes mathématiques du prix du millénaire]]. ~ Nicolas Bacaër et als. #Math

+ [[https://medium.com/@sebastiancarlos/common-lisp-in-2055-f3debf4df01c][How to get a Common Lisp job in 2055]]. ~ Sebastian Carlos. #CommonLisp

*** 09-Mar-25

+ [[https://josephmckinsey.com/flean.html][Floating point numbers in Lean]]. ~ Joseph McKinsey. #ITP #LeanProver #Math

+ [[https://josephmckinsey.com/flean2.html][Flean: Floating point numbers in Lean, mostly done!]] ~ Joseph McKinsey. #ITP #LeanProver #Math

+ [[https://jaalonso.github.io/cursos/li-03/index.html][Curso "Lógica informática" (2003-04)]]. #Logic #Math #CompSci

*** 08-Mar-25

+ [[https://blog.jle.im/entry/sum-types-and-subtypes-and-unions.html][Sum types and subtypes and unions]]. ~ Justin Le. #Haskell #FunctionalProgramming

*** 07-Mar-25

+ [[https://hal.science/hal-04971933/document][A formalisation of addition chains]]. ~ Laurent Théry. #ITP #Coq #Rocq

+ [[https://jwshii.github.io/OOPSLA25.pdf ][QED in context (An observation study of proof assistant users)]]. ~ Jessica Shi, Cassia Torczon, Harrison Goldstein, Benjamin C. Pierce, Andrew Head #ITP #LeanProver #Coq #Rocq

+ [[https://florisvandoorn.com/theses/KunhongDu.pdf][On the formalization of the simplicial model of HoTT]]. ~ Kunhong Du. #ITP #Agda #HoTT

+ [[https://ericschmid-uchicago.github.io/notes/cl_and_tt_v2.pdf][A gentle introduction to categorical logic and type theory]]. ~ Eric Schmid. #Math #CategoryTheory #TypeTheory

+ [[https://arxiv.org/abs/2503.04291][MathMistake checker: A comprehensive demonstration for step-by-step math problem mistake finding by prompt-guided LLMs]]. ~ Tianyang Zhang et als. #LLMs #Math

+ [[https://arxiv.org/abs/2503.01245][A survey on Large Language Models for code generation]]. ~ Nam Huynh, Beiyu Lin. #LLMs #Programming

+ [[https://arxiv.org/abs/2410.17635][Markov chain of thought for efficient mathematical reasoning]]. ~ Wen Yang, Minpeng Liao, Kai Fan. #LLMs #Math #Reasoning

+ [[https://arxiv.org/abs/2501.13959][Assisting mathematical formalization with a learning-based premise retriever]]. ~ Yicheng Tao et als. #LLMs #ITP #LeanProver

*** 06-Mar-25

+ [[https://arxiv.org/abs/2502.21156][Cryptis: Cryptographic reasoning in separation logic]]. ~ Arthur Azevedo de Amorim, Amal Ahmed, Marco Gaboardi. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2407.10040][Lean-STaR: Learning to interleave thinking and proving]]. ~ Haohan Lin et als. #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2503.03205][MA-LoT: Multi-agent lean-based long chain-of-thought reasoning enhances formal theorem proving]]. ~ Ruida Wang et als. #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2503.03238][FANS: Formal answer selection for natural language math reasoning using Lean4]]. ~ Jiarui Yao, Ruida Wang, Tong Zhang. #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2501.16207][From informal to formal (Incorporating and evaluating LLMs on natural language requirements to verifiable formal proofs)]]. ~ Jialun Cao et als. #LLMs #ITP #LeanProver

*** 05-Mar-25

+ [[https://www.isa-afp.org/entries/Mission_Time_LTL_Language_Partition.html][Language partitioning for mission-time linear temporal logic (in Isabelle/HOL)]]. ~ Zili Wang, Katherine Kosaian, Alec Rosentrater. #ITP #IsabelleHOL

+ [[https://www.genbeta.com/inteligencia-artificial/unos-profesores-avisan-que-ia-supone-amenaza-para-pensamiento-critico-estudiantes-escribir-tambien-pensar][Unos profesores avisan de que la IA supone una amenaza para el pensamiento crítico de los estudiantes: "escribir también es pensar"]]. ~ Marcos Merino. #AI #Education

*** 04-Mar-25

+ [[https://arxiv.org/abs/2503.00959][Formalizing zeta and L-functions in Lean]]. ~ David Loeffler, Michael Stoll. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2404.12534][Lean Copilot: Large language models as copilots for theorem proving in Lean]]. ~ Peiyang Song, Kaiyu Yang, Anima Anandkumar. #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2502.03544][Gold-medalist performance in solving olympiad geometry with AlphaGeometry2]]. ~ Yuri Chervonyi et als. #AI #AlphaGeometry #Math

+ [[https://arxiv.org/abs/2405.02318][NL2FOL: Translating natural language to first-order logic for logical fallacy detection]]. ~ Abhinav Lalwani et als. #LLMs #Logig #SMT

+ [[https://arxiv.org/abs/2410.08899][Utilizing ChatGPT in a data structures and algorithms course: A teaching assistant's perspective]]. ~ Pooriya Jamie, Reyhaneh Hajihashemi, Sharareh Alipour. #LLMs #CompSci

+ [[https://arxiv.org/abs/2502.15770][Performance review on LLM for solving Leetcode problems]]. ~ Lun Wang et als. #LLMs #Programming

+ [[https://arxiv.org/abs/2502.15823][InductionBench: LLMs fail in the simplest complexity class]]. ~ Wenyue Hua et als. #LLMs #Reasoning

*** 03-Mar-25

+ [[https://research.tue.nl/nl/publications/waterproof-transforming-a-proof-assistant-into-an-educational-too][Waterproof: Transforming a proof assistant into an educational tool]]. ~ Aalt Jelle Wemmenhove. #ITP #Coq #Math #Education

+ [[https://cs.ru.nl/H.Geuvers/Huygens_2019.pdf][Computer assisted mathematical proofs: using the computer to verify computers]]. ~ Herman Geuvers. #ITP #Math

+ [[https://pitmonticone.github.io/Talks/2025/CHANGE][An invitation to Blueprint-driven formalisation of mathematical research in Lean]]. ~ Pietro Monticone. #ITP #LeanProver #Math

+ [[https://github.com/pitmonticone/LeanCHANGE][An invitation to Blueprint-driven formalisation of mathematical research in Lean (Codes)]]. ~ Pietro Monticone. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2410.03465][Formalizing MLTL formula progression in Isabelle/HOL]]. ~ Katherine Kosaian, Zili Wang, Elizabeth Sloan, Kristin Rozier. #ITP #IsabelleHOL #Logic

+ [[https://jerf.org/iri/post/2025/fp_lessons_purity/][Applying purity to the imperative world]]. ~ Jeremy Bowers. #Haskell #FunctionalProgramming

+ [[https://culturacientifica.com/2017/06/07/teorema-los-cuatro-colores-4-podemos-creer-la-prueba-la-conjetura/][¿Podemos creer la prueba de la conjetura?]] ~ Marta Macho Stadler. #Math #CompSci

*** 02-Mar-25

+ [[https://arxiv.org/abs/2502.19311][Faithful logic embeddings in HOL (A recipe to have it all: deep and shallow, automated and interactive, heavy and light, proofs and counterexamples, meta and object level)]]. ~ Christoph Benzmüller. #ITP #IsabelleHOL

+ [[https://www.dcs.gla.ac.uk/~michele/papers/SAC2025.pdf][BiCoq: Bigraphs formalisation with Coq]]. ~ Cécile Marcon et als. #ITP #Coq #Rocq

+ [[https://kolektiva.media/w/2hjgLbauHCtgdKtKXkbFvb][Fediverso: Una alternativa a las redes sociales comerciales]]. #RRSS #Fediverso

*** 01-Mar-25

+ [[https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F48258008F47DC9F53AA2E61B4E511A7/S0956796825000012a.pdf/how_much_is_in_a_square_calculating_functional_programs_with_squares.pdf][Functional pearl: How much is in a square? Calculating functional programs with squares]]. ~ Jose Nuno Oliveira. #FunctionalProgramming #Haskell

+ [[https://arxiv.org/abs/2502.17840][A combinatorial identities benchmark for theorem proving via automated theorem generation]]. ~ Beibei Xiong et als. #LLMs #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2410.10878][Herald: A natural language annotated Lean 4 dataset]]. ~ Guoxiong Gao et als. #LLMs #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2502.17925][LeanProgress: Guiding search for neural theorem proving via proof progress prediction]]. ~ Suozhi Huang et als. #LLMs #ITP #LeanProver

** Febrero 2025

*** 28-Feb-25

+ [[https://arxiv.org/abs/2502.14874v1][Is mathematics obsolete?]] ~ Jeremy Avigad. #Math #ITP #LeanProver #AI #LLMs

+ [[https://arxiv.org/abs/2502.19311][Faithful logic embeddings in HOL (A recipe to have it all: deep and shallow, automated and interactive, heavy and light, proofs and counterexamples, meta and object level)]]. ~ Christoph Benzmüller. #ITP #IsabelleHOL #Logic

+ [[https://arxiv.org/abs/2310.20360][Mathematical introduction to deep learning: Methods, implementations, and theory]]. ~ Arnulf Jentzen, Benno Kuckuck, Philippe von Wurstemberger. #AI #DeepLearning #Math

+ [[https://arxiv.org/abs/2502.12022][Teaching LLMs according to their aptitude: Adaptive reasoning for mathematical problem solving]]. ~ Xin Xu et als. #AI #LLMs #Math

+ [[https://cacm.acm.org/opinion/homo-ratiocinator-reckoning-human/][Homo ratiocinator (reckoning human)]]. ~ Moshe Y. Vardi. #Logic #CompSci

+ [[https://gestion.dc.uba.ar/media/academic/grade/thesis/tesis-1.0.1.pdf][PPA: Un asistente de demostración para lógica de primer orden con extracción de testigos usando la traducción de Friedman]]. ~ Manuel Panichelli. #Haskell #FunctionalProgramming #Logic

*** 27-Feb-25

+ [[https://www.isa-afp.org/entries/FOL_Compactness.html][Compactness theorem for first-order logic (in Isabelle/HOL)]]. ~ Sophie Tourret, Lawrence C. Paulson. #ITP #IsabelleHOL #Logic #Math

+ [[https://arxiv.org/abs/2502.18532][CuDIP: Enhancing theorem proving in LLMs via curriculum learning-based direct preference optimization]]. ~ Shuming Shi et als. #AI #LLMs #ATP #Logic #Math

+ [[https://arxiv.org/abs/2502.19400][TheoremExplainAgent: Towards multimodal explanations for LLM theorem understanding]]. ~ Max Ku et als. #AI #LLMs #ATP #Logic #Math

+ [[https://arxiv.org/abs/2502.18467][ChatGPT vs. DeepSeek: A comparative study on AI-based code generation]]. ~ Md Motaleb Hossen Manik. #AI #LLMs #Programming

*** 26-Feb-25

+ [[https://arxiv.org/abs/2502.17387][Big-Math: A large-scale, high-quality math dataset for reinforcement learning in language models]]. ~ Alon Albalak et als. #LLMs #Math

+ [[https://arxiv.org/abs/2501.13766][UGMathBench: A diverse and dynamic benchmark for undergraduate-level mathematical reasoning with large language models]]. ~ Xin Xu et als. #LLMs #Math

+ [[https://arxiv.org/abs/2502.15652][Empowering LLMs with logical reasoning: A comprehensive survey]]. ~ Fengxiang Cheng et als. #LLMs #Math #Reasoning

*** 25-Feb-25

+ [[https://noter.math.ku.dk/phd25da.pdf][Towards a formalized theory of solid modules]]. ~ Dagur Asgeirsson. #PhDThesis #ITP #LeanProver #Math

+ [[https://www.nikolai-kosmatov.eu/publications/ferreol_ck_fase_2025.pdf][Prove your colorings: Formal verification of cache coloring of Bao hypervisor]]. ~ Axel Ferréol, Laurent Corbin, Nikolai Kosmatov. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2502.15776][Logic.py: Bridging the gap between LLMs and constraint solvers]]. ~ Pascal Kesseli, Peter O'Hearn, Ricardo Silveira Cabral. #LLMs #Logic #SAT #SMT

*** 24-Feb-25

+ [[https://youtu.be/FDZDu0ToXsM][Formalising Brauer group and group cohomology in Lean4]].~ Jujian Zhang. #ITP #LeanProver #Math

+ [[https://fldit-www.cs.tu-dortmund.de/~peter/PS07/HR.pdf][The Haskell road to logic, math and programming]]. ~ Kees Doets, Jan van Eijck (2004). #Haskell #FunctionalProgramming #Loggic #Math

+ [[https://muratkasimov.art/Ya/Articles/Bind-and-traverse-with-Kleisli-morphisms][Bind and traverse with Kleisli morphisms]]. ~ Murat Kasimov. #CategoryTheory #Haskell #FunctionalProgramming

+ [[https://elementsofclojure.com/manuscript/elements_of_clojure.pdf][Elements of Clojure]]. ~ Zachary Tellman. #Clojure #Lisp #FunctionalProgramming

+ [[https://gr.inc][Open Reasoning Data (1,748,344 questions and 300,119 chain-of-thought traces to train open models)]]. #AI #LLMs

+ [[https://www.microsiervos.com/archivo/ia/material-abierto-modelos-razonamiento-general-preguntas-cadenas-pensamiento.html][Material abierto para construir modelos de razonamiento general: 1]].600.000 preguntas y 270.000 trazas de cadenas de pensamiento. ~ Por @Alvy. #AI #LLMs

*** 23-Feb-25

+ [[https://www.isa-afp.org/entries/List_Power.html][Power operator for lists (in Isabelle/HOL)]]. ~ Štěpán Holub, Martin Raška, Štěpán Starosta, Tobias Nipkow. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2502.12848][Strands Rocq: Why is a security protocol correct, mechanically?]] ~ Matteo Busi, Riccardo Focardi, Flaminia L. Luccio. #ITP #Rocq #Coq

+ [[https://arxiv.org/abs/2502.13812][Fracterm calculus for partial meadows]]. ~ Jan A. Bergstra, Alban Ponse. #ATP #Prover9 #Mace4 #Math

+ [[https://thmprover.wordpress.com/2025/02/22/how-to-deepen-your-understanding-of-mizar/][How to deepen your understanding of Mizar]]. ~ Alex Nelson. #ITP #Mizar

*** 22-Feb-25

+ [[https://babbagefiles.xyz/lambda-calculus-and-lisp-01/][Lambda calculus and Lisp, part 1]]. #LambdaCalculus #Lisp

+ [[https://babbagefiles.xyz/lambda-calculus-and-lisp-02-recursion/][Lambda calculus and Lisp, part 2]]. #LambdaCalculus #Emacs #Lisp

*** 21-Feb-25

+ [[https://youtu.be/5ZIIGLiQWNM][Machine-assisted proofs (February 19, 2025)]]. ~ Terence Tao. #ITP #LeanProver #AI #Math

+ [[https://youtu.be/8NijQB2oqKg][Formalisation of combinatorial optimisation in Isabelle/HOL: Network flows]]. ~ Thomas Ammer. #ITP #IsabelleHOL #Math

+ [[https://arxiv.org/abs/2502.11344][A Coq implementation of a theory of tagged objects]]. ~ Matthew Gates, Alex Potanin. #ITP #Coq #Rocq

+ [[https://ohasan.seecs.nust.edu.pk/Conferences_25/Conferences/SYSCON_2025.pdf][Formal analysis of electrical circuit network topologies using theorem proving, ~ Kubra Aksoy, Adnan Rashid1, Osman Hasan, Sofiene Tahar]]. #ITP #IsabelleHOL

+ [[https://usr.lmf.cnrs.fr/lpo/lpo.pdf][Learn programming with OCaml (Algorithms and data structures)]]. ~ Sylvain Conchon, Jean-Christophe Filliâtre. #OCaml #FunctionalProgramming

+ [[https://arxiv.org/abs/2502.12065][Formalizing complex mathematical statements with LLMs: A study on mathematical definitions]]. ~ Lan Zhang, Marco Valentino, Andre Freitas. #LLMs #Math #Autoformalization #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2502.09955][Diverse inference and verification for advanced reasoning]]. ~ Iddo Drori et als. #LLMs #ITP #LeanProver #Autoformalization

+ [[https://web.evanchen.cc/handouts/english/english.pdf][Advice for writing proofs]]. ~ Evan Chen (2023). #Math

+ [[https://web.evanchen.cc/handouts/NaturalProof/NaturalProof.pdf][Intro to proofs for the morbidly curious]]. ~ Evan Chen (2024). #Math

*** 20-Feb-25

+ [[https://arxiv.org/abs/2502.03321][Simplifying formal proof-generating models with ChatGPT and basic searching techniques]]. ~ Sangjun Han et als. #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2502.13834][Proving olympiad inequalities by synergizing LLMs and symbolic reasoning]]. ~ Zenan Li et als. #LLMs #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2502.13199][The role of GitHub Copilot on software development: A perspective on productivity, security, best practices and future directions]]. ~ Suresh Babu Nettur et als. #LLMs #Programming

+ [[https://arxiv.org/abs/2502.06807][Competitive programming with large reasoning models]]. ~ OpenAI. #LLMs #Programming

+ [[https://web.evanchen.cc/handouts/Ineq/en.pdf][A brief introduction to olympiad inequalities]]. ~ Evan Chen. #Math

+ [[https://igor-kortchemski.perso.math.cnrs.fr/olympiades/Cours/Inegalites/tin2006.pdf][Topics in inequalities: Theorems and techniques]]. ~ Hojoo Lee. #Math

+ [[https://phamtuankhai.wordpress.com/wp-content/uploads/2012/04/567-bat-dang-thuc-hay.pdf][567 nice and hard inequalities]]. ~ Nguyen Duy Tung. #Math

*** 19-Feb-25

+ [[https://asteriskmag.com/issues/09/automating-mat][Automating math (Computers can already help verify proofs]]. One day soon, AI may be able to come up with new ones). ~ Adam Marblestone.h#ai-mathematician #ITP #LeanProver #AI #LLMs #Math

+ [[https://lisp-journey.gitlab.io/blog/these-years-in-common-lisp-2023-2024-in-review/][These years in Common Lisp: 2023-2024 in review]]. ~ Vincent Dardel. #CommonLisp

+ [[https://arxiv.org/abs/2501.16207][From informal to formal - Incorporating and evaluating LLMs on natural language requirements to verifiable formal proofs]]. ~ Jialun Cao et als. #LLMs #Reasoning #Math #ITP #LeanProver #Coq

+ [[https://arxiv.org/abs/2502.04671][ProofWala: Multilingual proof data synthesis and theorem-proving]]. ~ Amitayush Thakur et als. #LLMs #ITP #LeanProver #Coq

+ [[https://arxiv.org/abs/2502.12855][Integrating arithmetic learning improves mathematical reasoning in smaller models]]. ~ Neeraj Gangwar, Suma P Bhat, Nickvash Kani. #ITP #Math #Reasoning

+ [[https://arxiv.org/abs/2502.13137][Theorem prover as a judge for synthetic data generation]]. ~ Joshua Ong Jun Leang et als. #LLMs #ITP

+ [[https://arxiv.org/abs/2408.08590][A mechanistic interpretation of syllogistic reasoning in auto-regressive language models]]. ~ Geonhee Kim, Marco Valentino, André Freitas. #LLMs #Logic #Reasoning

+ [[https://arxiv.org/abs/2502.12022][Teaching LLMs according to their aptitude: Adaptive reasoning for mathematical problem solving]]. ~ Xin Xu et als. #LLMs #Math

+ [[https://arxiv.org/abs/2405.13144][LLMs for mathematical modeling: Towards bridging the gap between natural and mathematical languages]]. ~ Xuhan Huang et als. #LLMs #Math

+ [[https://arxiv.org/abs/2410.19817][Step guided reasoning: Improving mathematical reasoning using guidance generation and step reasoning]]. ~ Lang Cao et als. #LLMs #Reasoning #Math

*** 18-Feb-25

+ [[https://arxiv.org/abs/2502.11574][Large language models and mathematical reasoning failures]]. ~ Johan Boye, Birger Moell. #AI #LLMs #Math

*** 17-Feb-25

+ [[https://muratkasimov.art/Ya/Articles/Natural-transformation-as-a-basis-of-control][Natural transformations as a basis of control]]. ~ Murat Kasimov. #Haskell #FunctionalProgramming

+ [[https://blog.jonathanchun.com/blog/2025/02/16/to-type-or-not-to-type/][To type or not to type?]] ~ Jonathan Chun. #Python #Programming

+ [[https://arxiv.org/abs/2502.09955][Diverse inference and verification for advanced reasoning]]. ~ Iddo Drori et als. #AI #LLMs #ITP #LeanProver

+ [[https://arxiv.org/abs/2502.10197][MathConstruct: Challenging LLM reasoning with constructive proofs]]. ~ Mislav Balunović et als. #AI #LLMs #Math

+ [[https://arxiv.org/abs/2410.13502][MathGAP: Out-of-distribution evaluation on problems with arbitrarily complex proofs]]. ~ Andreas Opedal et als. #AI #LLMs #Math

+ [[https://blog.iagosto.dev/entradas/personalizando-emacs][Personalizando Emacs]]. ~ Ivan Agosto. #Emacs

*** 16-Feb-25

+ [[https://4m4.it/posts/category-theory-functional-programming-compositionality/][The relationship between category theory, lambda calculus, and functional programming in Haskell]]. ~ Antonio Montano. #Haskell #FunctionalProgramming #CategoryTheory #LambdaCalculus

+ [[https://arxiv.org/abs/2502.09100][Logical reasoning in large language models: A survey]]. ~ Hanmeng Liu et als. #LLMs #Logic #Reasoning

*** 15-Feb-25

+ [[https://youtu.be/ohM1sLOmss8][Prospects for formalizing the theory of weak infinite-dimensional categories]]. ~ Emily Riehl. #ITP #LeanProver #Math

*** 14-Feb-25

+ [[https://www.repository.cam.ac.uk/items/6ccd12ea-25c5-4950-9dab-0f8e6fb691fd ][Language models for verifiable mathematical automation (Interaction, integration, and autoformalization)]]. ~ Qiaochu Jiang. #ITP #IsabelleHOL #LLMs #Autoformalization

+ [[https://www.youtube.com/live/NEUbp2CsuNg][The Haskell Unfolder Episode 39: Deriving strategies)]]. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

*** 13-Feb-25

+ [[https://www.andrew.cmu.edu/user/avigad/Papers/obsolete.pdf][Is mathematics obsolete?]] ~ Jeremy Avigad. #Math #ITP #LeanProver #AI #LLMs

+ [[https://cgi.cse.unsw.edu.au/~eptcs/paper.cgi?ICLP2024.23.pdf][A Coq formalization of unification modulo exclusive-or]]. ~ Yichi Xu, Daniel J. Dougherty, Rose Bohrer. #ITP #Coq

+ [[https://arxiv.org/abs/2501.10802][Logical relations for formally verified authenticated data structures]]. ~ Simon Oddershede Gregersen, Chaitanya Agarwal, Joseph Tassarotti. #ITP #Coq #Rocq

+ [[https://www.isa-afp.org/entries/Hilbert_Basis.html][A proof of Hilbert basis theorem and an extension to formal power series (in Isabelle/HOL)]]. ~ Benjamin Puyobro, Benoît Ballenghien, Burkhart Wolff. #ITP #IsabelleHOL #Math

+ [[https://www.wsj.com/articles/why-amazon-is-betting-on-automated-reasoning-to-reduce-ais-hallucinations-b838849e][Why Amazon is betting on 'automated reasoning' to reduce AI's hallucinations]]. ~ Belle Lin. #AI #LLMs #ITP

+ [[https://cgi.cse.unsw.edu.au/~eptcs/paper.cgi?ICLP2024.1.pdf][On LLM-generated logic programs and their inference execution methods]]. ~ Paul Tarau. #LLMs #LogicProgramming #Prolog

+ [[https://cgi.cse.unsw.edu.au/~eptcs/paper.cgi?ICLP2024.5.pdf][LP-LM: No hallucinations in question answering with logic programming]]. ~ Katherine Wu, Yanhong A. Liu. #LLMs #LogicProgramming #Prolog

+ [[https://arxiv.org/abs/2406.07222][Improving autoformalization using type checking]]. ~ Auguste Poiroux, Gail Weiss, Viktor Kunčak, Antoine Bosselut. #Autoformalization #LLMs #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2408.15332][What makes math problems hard for reinforcement learning: a case study]]. ~ Ali Shehper et als. #LLMs #Math

+ [[https://www.researchgate.net/publication/388798780_A_Model_for_Learning-Curve_Estimation_in_Efficient_Neural_Architecture_Search_and_Its_Application_in_Predictive_Health_Maintenance][A model for learning-curve estimation in efficient neural architecture search and its application in predictive health maintenance]]. ~ David Solís-Martín, Juan Galán-Páez, Joaquín Borrego-Díaz. #AI

+ [[https://hal.science/hal-04924849/document][50 years of programming language evolution through the software Heritage looking glass]]. ~ Adèle Desmazières, Roberto Di Cosmo, Valentin Lorentz. #Programming

*** 12-Feb-25

+ [[https://arxiv.org/abs/2502.00212][STP: Self-play LLM theorem provers with iterative conjecturing and proving]]. ~ Kefan Dong, Tengyu Ma. #LLMs #ITP #LeanProver #IsabelleHOL

+ [[https://arxiv.org/abs/2502.06807][Competitive programming with large reasoning models]]. ~ OpenAI. #LLMs #Programming

*** 11-Feb-25

+ [[https://irreal.org/blog/?p=3632][Streams in Common Lisp]]. ~ jcs. #CommonLisp

+ [[https://kaygun.tumblr.com/post/106845304649/functional-streams][Functional streams]]. ~ Atabey Kaygun. #CommonLisp

+ [[https://github.com/mchung94/primes][Programming techniques: Generating prime numbers in Common Lisp]]. ~ Mitchell Chung. #CommonLisp #Math

+ [[https://arxiv.org/abs/2502.06217][Examining false positives under inference scaling for mathematical reasoning]]. ~ Yu Wang, Nan Yang, Liang Wang, Furu Wei. #LLMs #Math #Reasoning

+ [[https://arxiv.org/abs/2502.06453][MATH-perturb: Benchmarking LLMs' math reasoning abilities against hard perturbations]]. ~ Kaixuan Huang et als. #LLMs #Math #Reasoning

+ [[https://arxiv.org/abs/2410.10735][Embedding self-correction as an inherent ability in large language models for enhanced mathematical reasoning]]. ~ Kuofeng Gao, Huanqia Cai, Qingyao Shuai, Dihong Gong, Zhifeng Li. #LLMs #Math #Reasoning

*** 10-Feb-25

+ [[https://cacm.acm.org/news/feedback-loops-guide-ai-to-proof-checking/][Feedback loops guide AI to proof checking]]. ~ Chris Edwards. #AI #ITP #LeanProver #Coq

+ [[https://arxiv.org/abs/2502.06055][Verified certificates via SAT and computer algebra systems for the Ramsey R(3,8) and R(3,9) problems]]. ~ Zhengyu Li, Conor Duggan, Curtis Bright, Vijay Ganesh. #SAT #CAS

+ [[https://arxiv.org/abs/2502.05714][Proving the coding interview: A benchmark for formally verified code generation]]. ~ Quinn Dougherty, Ronak Mehta. #AI #LLMs #Python #ITP

+ [[https://arxiv.org/abs/2502.05567][ATLAS: Autoformalizing theorems through lifting, augmentation, and synthesis of data]]. ~ Xiaoyang Liu, Kangjie Bao, Jiashuo Zhang, Yunqi Liu, Yu Chen, Yuntian Liu, Yang Jiao, Tao Luo. #LLMs #ITP #LeanProver #Math #Autoformalization

+ [[https://arxiv.org/abs/2410.07432][Can Transformers reason logically? A study in SAT solving]]. ~ Leyan Pan, Vijay Ganesh, Jacob Abernethy, Chris Esposo, Wenke Lee. #LLMs #Reasoning #SAT_Solvers

*** 09-Feb-25

+ [[https://xenaproject.wordpress.com/2025/02/09/what-is-a-quotient/][What is a quotient?]] ~ Kevin Buzzard. #ITP #LeanProver #Math

+ [[https://dl.acm.org/doi/10.1145/3712057][Systems correctness practices at AWS: Leveraging formal and semi-formal methods]]. ~ Marc Brooker, Ankush Desai. #FormalMethods #ITP #LeanProver

+ [[https://www.cambridge.org/core/journals/journal-of-functional-programming/article/turner-bird-eratosthenes-an-eternal-burning-thread/32E2EDF5D5EAEC95F13D313BC97B86F0][Turner, Bird, Eratosthenes: An eternal burning thread]]. ~ Jeremy Gibbons. #Haskell #FunctionalProgramming

+ [[https://www.quantamagazine.org/chatbot-software-begins-to-face-fundamental-limitations-20250131/][Chatbot software begins to face fundamental limitations]]. ~ Anil Ananthaswamy. #LLMs

*** 08-Feb-25

+ [[https://www.isa-afp.org/entries/CVM_Distinct_Elements.html][Verification of the CVM algorithm with a new recursive analysis technique]]. ~ Emin Karayel, Derek Khu, Kuldeep S. Meel, Yong Kiam Tan, Seng Joe Watt. #ITP #IsabelleHOL

+ [[https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E8BE1DB3FD80AB7AD92EE979893A10AC/S0956796825000024a.pdf/review_of_haskell_in_depth_by_vitaly_bragilevsky_manning_publications_2021.pdf][Review of "Haskell in depth" by Vitaly Bragilevsky]]. ~ Brent Yorgey. #Haskell #FunctionalProgramming

+ [[https://youtu.be/J4Dnqz9_HZM][Cervantes, la cuadratura del círculo y la búsqueda del punto fijo]]. ~ Tomás Domínguez Benavides. #Matemáticas

*** 06-Feb-25

+ [[https://arxiv.org/abs/2502.03432][A formalization of Borel determinacy in Lean]]. ~ Sven Manthe. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2502.03321][Simplifying formal proof-generating models with ChatGPT and basic searching techniques]]. ~ Sangjun Han, Taeil Hur, Youngmi Hur, Kathy Sangkyung Lee, Myungyoon Lee, Hyojae Lim. #LLMs #ChatGPT #ITP #LeanProver

+ [[https://github.com/kickingvegas/elisp-for-python][Elisp cheatsheet for Python programmers]]. ~ Charles Choi. #Python #Emacs #Elisp

+ [[https://youtu.be/wPSP7RoWdBo][La categoría de conjuntos abstractos]]. ~ Luis Turcio. #CategoryTheory

*** 05-Feb-25

+ [[https://ceur-ws.org/Vol-3909/Paper_37.pdf][On the cofinality property in the context of the hierarchy of decreasing Church-Rosser abstract rewriting systems]]. ~ Ievgen Ivanov. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2403.13310][A semantic search engine for Mathlib4]]. ~ Guoxiong Gao, Haocheng Ju, Jiedong Jiang, Zihan Qin, Bin Dong. #ITP #LeanProver #Mathlib

+ [[https://goedel-lm.github.io/][Goedel-Prover: A new frontier in automated theorem proving]]. ~ Yong Lin et als. #LLMs #ITP #LeanProver

+ [[https://www.quantamagazine.org/new-proofs-probe-the-limits-of-mathematical-truth-20250203/][New proofs probe the limits of mathematical truth]]. ~ Joseph Howlett. #Math

*** 03-Feb-25

+ [[https://arxiv.org/abs/2501.18639][A comprehensive survey of the Lean 4 theorem prover: Architecture, applications, and advances]]. ~ Xichen Tang. #ITP #LeanProver

+ [[https://www.isa-afp.org/entries/Differential_Privacy.html][Differential privacy (in Isabelle/HOL)]]. ~ Tetsuya Sato, Yasuhiko Minamide. #ITP #IsabelleHOL

+ [[https://www.isa-afp.org/entries/DP_QBS.html][Differential privacy using quasi-Borel spaces]]. ~ Michikazu Hirata. #ITP #IsabelleHOL

+ [[https://maxima-on-wasm.pages.dev][Maxima in the browser using Embedded Common Lisp on WASM]]. #Maxima #CoomonLisp #Math

*** 02-Feb-25

+ [[https://www.isa-afp.org/entries/Transitive_Union_Closed_Families.html][Transitive union-closed families (in Isabelle/HOL)]]. ~ Angeliki Koutsoukou-Argyraki, Lawrence C. Paulson. #ITP #IsabelleHOL

+ [[https://www.isa-afp.org/entries/Notes_On_Goedels_Ontological_Argument.html][Notes on Gödel’s and Scott’s variants of the ontological argument (Isabelle/HOL dataset)]]. ~ Christoph Benzmüller, Dana Scott. #ITP #IsabelleHOL

+ [[https://mathscholar.org/2025/02/deepseek-a-breakthrough-in-ai-for-math-and-everything-else/][DeepSeek: A breakthrough in AI for math (and everything else)]]. ~ David H Bailey. #DeepSeek #Math

+ [[https://www.lesswrong.com/posts/8ZgLYwBmB3vLavjKE/some-lessons-from-the-openai-frontiermath-debacle][Some lessons from the OpenAI-FrontierMath debacle]]. ~ 7vik. #AI #Math

+ [[https://culturacientifica.com/2022/02/02/kazimierz-kuratowski-el-talento-y-el-compromiso-de-un-matematico-de-varsovia/][Kazimierz Kuratowski, el talento y el compromiso de un matemático de Varsovia]]. ~ Marta Macho Stadler. #Math

*** 01-Feb-25

+ [[https://arxiv.org/abs/2501.15639][The continuous functional calculus in Lean]]. ~ Anatole Dedecker, Jireh Loreaux. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2501.17444][Formally verifying a transformation from MLTL formulas to regular expressions]]. ~ Zili Wang, Katherine Kosaian, Kristin Yvonne Rozier. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2501.17766][Formally verified binary-level pointer analysis]]. ~ Freek Verbeek, Ali Shokri, Daniel Engel, Binoy Ravindran. #ITP #IsabelleHOL

+ [[https://www.diva-portal.org/smash/get/diva2:1932311/FULLTEXT01.pdf][A formal semantics of Core Erlang]]. ~ Ibrahim Abdelrahman Mohamedi. #ITP #IsabelleHOL #Erlang

+ [[https://iris-project.org/pdfs/2025-esop-gitrees.pdf][Context-dependent effects in guarded interaction trees]]. ~ Sergei Stepanenko, Emma Nardino, Dan Frumin, Amin Timany, Lars Birkedal. #ITP #Coq

+ [[https://arxiv.org/abs/2501.14421v1][Reasoning about weak isolation levels in separation logic]]. ~ Anders Alnor Mathiasen, Léon Gondelman, Léon Ducruet, Amin Timany, Lars Birkedal. #ITP #Coq

+ [[https://arxiv.org/abs/2501.13959][Assisting mathematical formalization with a learning-based premise retriever]]. ~ Yicheng Tao, Haotian Liu, Shanwen Wang, Hongteng Xu. #AI #LLMs #ITP #LeanProver #Math

+ [[https://link.springer.com/article/10.1007/s11245-025-10164-w][How to recognize artificial mathematical intelligence in theorem proving]]. ~ Markus Pantsar. #AI #Math #ITP

+ [[https://arxiv.org/abs/2501.15797][LemmaHead: RAG assisted proof generation using large language models]]. ~ Tianbo Yang, Mingqi Yang, Hongyi Zhao, Tianshuo Yang. #AI #LLMs #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2501.16961][Instantiation-based formalization of logical reasoning tasks using language models and logical solvers]]. ~ Mohammad Raza, Natasa Milic-Frayling. #LLMs #Reasoning #SMT #Z3

+ [[https://arxiv.org/abs/2501.16207][From informal to formal (Incorporating and evaluating LLMs on natural language requirements to verifiable formal proofs)]]. ~ Jialun Cao et als. #AI #LLMs #ITP #Coq #LeanProver #Math

** Enero 2025

*** 31-Ene-25

+ [[https://wintered.github.io/SolidifyingModernSMTSolvers.pdf][Solidifying modern SMT solvers]]. ~ Dominik Winterer. #SMT

+ [[https://github.com/ashok-khanna/lisp-notes][The Common Lisp Cheat Sheet]]. ~ Ashok Khanna. #CommonLisp

*** 30-Ene-25

+ [[https://arxiv.org/abs/2501.10127][A formally verified IEEE 754 floating-point implementation of interval iteration for MDPs]]. ~ Bram Kohlen, Maximilian Schäffeler, Mohammad Abdulaziz, Arnd Hartmanns, Peter Lammich. #ITP #IsabelleHOL

+ [[https://github.com/teorth/expdb][Analytic number theory exponent database]]. ~ Terence Tao et als. #ITP #LeanProver #Math

+ [[https://pujet.fr/pdf/cellular.pdf][Cellular methods in homotopy type theory]]. ~ Axel Ljungström,  Loïc Pujet. #ITP #Agda

*** 29-Ene-25

+ [[https://www.isa-afp.org/entries/Mission_Time_LTL.html][Mission-time linear temporal logic (in Isabelle/HOL)]]. ~ Katherine Kosaian, Zili Wang, Elizabeth Sloan. #ITP #IsabelleHOL

+ [[https://www.isa-afp.org/entries/Mission_Time_LTL_to_Regular_Expression.html][Mission-time linear temporal logic to regular expressions (in Isabelle/HOL)]]. ~ Zili Wang, Katherine Kosaian. #ITP #IsabelleHOL

*** 28-Ene-25

+ [[https://scholarlypublications.universiteitleiden.nl/handle/1887/4176739][The directed Van Kampen Theorem in Lean]]. ~ Henning Basoldm, Peter Bruin, Dominique Lawson. #ITP #LeanProver #Math

+ [[https://bitsandtheorems.com/the-simplicity-of-prolog/][The simplicity of Prolog]]. ~ Ties Westendorp. #Prolog #LogicProgramming

+ [[https://beautifulracket.com/][Beautiful Racket (An introduction to language-oriented programming using Racket)]]. ~ Matthew Butterick. #Racket #FunctionalProgramming

+ [[https://adam.math.hhu.de][New game posted on Lean Game Server: Reasoning]]. ~ Jad Abou Hawili./#/g/jadabouhawili/knightsandknaves-lean4game #ITP #LeanProver

+ [[https://youtube.com/playlist?list=PLX21uJ4UfpF43NExUcPcAEgnzV58x_26l][Lean for scientists and engineers]]. ~ Tyler Josephson. #ITP #LeanProver

+ [[https://github.com/lean-mine][lean-mine: A collection of problems solved in Lean]]. #ITP #LeanProver #Math

+ [[https://github.com/lean-mine/baby-rudin-project][Baby Rudin project: An attempt to formalize every problem in Baby Rudin with natural language description]]. #ITP #LeanProver #Math

+ [[https://youtu.be/SeVb2DPqvx0][Homo ratiocinator (Reckoning human)]]. ~ Moshe Vardi. #Logic #Math

*** 26-Ene-25

+ [[https://arxiv.org/abs/2501.12906][Certified knowledge compilation with application to formally verified model counting]]. ~ Randal E. Bryant, Wojciech Nawrocki, Jeremy Avigad, Marijn J. H. Heule. #ITP #LeanProver

+ [[https://hvg.ece.concordia.ca/Publications/Thesis/Elif-PhD-Thesis.pdf][Formalization of partial differential equations using HOL theorem proving]]. ~ Elif Deniz. #ITP #HOL_Light #Math

+ [[https://youtu.be/HT0qJTB_f0s][Math Encounters: "You want proof? I'll give you proof! (Mathematical arguments from Euclid to Lean)"]]. ~ Jeremy Avigad. #ITP #LeanProver #Math

*** 25-Ene-25

+ [[https://sarajuhosova.com/assets/files/2025-icpc.pdf][Pinpointing the learning obstacles of an interactive theorem prover]]. ~ Sára Juhošová, Andy Zaidman, Jesper Cockx. #ITP #Agda

+ [[https://arxiv.org/abs/2501.10802][Logical relations for formally verified authenticated data structures]]. ~ Simon Oddershede Gregersen, Chaitanya Agarwal, Joseph Tassarotti. #ITP #Coq #Rocq

+ [[https://www.isa-afp.org/entries/Combinatorial_Q_Analogues.html][Combinatorial q-analogues (in Isabelle/HOL)]]. ~ Manuel Eberl. #ITP #IsabelleHOL #Math

+ [[https://www.isa-afp.org/entries/Theta_Functions.html][Theta functions (in Isabelle/HOL)]]. ~ Manuel Eberl. #ITP #IsabelleHOL #Math

+ [[https://www.isa-afp.org/entries/Rogers_Ramanujan.html][The Rogers–Ramanujan identities (in Isabelle/HOL)]]. ~ Manuel Eberl. #ITP #IsabelleHOL #Math

+ [[https://reasonablypolymorphic.com/blog/use-monoids/index.html][Use monoids for construction]]. ~ Sandy Maguire. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2501.10406][Calculus for the modern engineer: Putting the joy back in learning advanced mathematics]]. ~ Jessy Grizzle. #Math #JuliaLang

+ [[https://grizzle.robotics.umich.edu/files/ROB_201_Textbook_Calculus16December2024.pdf][Calculus for the modern engineer (Textbook)]]. ~ Jessy Grizzle et als. #Math #JuliaLang #LLMs

*** 24-Ene-25

+ [[https://arxiv.org/abs/2501.13712][Formally verified neurosymbolic trajectory learning via tensor-based linear temporal logic on finite traces]]. ~ Mark Chevallier, Filip Smola, Richard Schmoetten, Jacques D. Fleuriot. #ITP #IsabelleHOL #NeuroSymbolicAI

+ [[https://reasonablypolymorphic.com/blog/code-lenses/][A new perspective on lenses]]. ~ Sandy Maguire. #Haskell #FunctionalProgramming

+ [[https://jtobin.io/fast-haskell-redux][Fast Haskell, Redux]]. ~ Jared Tobin. #Haskell #FunctionalProgramming

+ [[https://acatalepsie.fr/posts/making-my-life-easier-with-gadts.html][Making my life easier with GADTs]]. ~ Lucas Escot. #Haskell #FunctionalProgramming

+ [[https://www.parsonsmatt.org/2025/01/21/making_my_life_harder_with_gadts.html][Making my life harder with GADTs]]. Matt Parsons. #Haskell #FunctionalProgramming

+ [[http://systema10.org/posts/making-my-life-easier-with-two-gadts.html][Making my life easier with two GADTs]]. ~ borar. #Haskell #FunctionalProgramming

+ [[https://laurentrdc.xyz/posts/HKTGenerics.html][Modeling dataframes in Haskell using higher-kinded types]]. ~ Laurent P. René de Cotret. #Haskell #FunctionalProgramming

+ [[https://jezenthomas.com/2025/01/style-guide/][Supercede’s house style for Haskell]]. ~ Jezen Thomas. #Haskell #FunctionalProgramming

+ [[https://well-typed.com/blog/2025/01/trace-foreign-calls/][Tracing foreign function invocations]]. ~ Edsko de Vries, Zubin Duggal, Matthew Pickering. #Haskell #FunctionalProgramming

+ [[https://seldo.com/posts/what-ive-learned-about-writing-ai-apps-so-far][What I've learned about writing AI apps so far]]. ~ Laurie Voss. #AI #LLMs

+ [[https://spectrum.ieee.org/ai-mistakes-schneier][AI mistakes are very different than human mistakes]]. ~ Bruce Schneier, Nathan E. Sanders. #AI #LLMs #GenerativeAI

+ [[https://www.microsiervos.com/archivo/ia/como-trabajar-dia-dia-ia-no-morir-intento.html][Cómo trabajar en el día a día con una IA y no morir en el intento]]. ~ @Alvy. #AI #LLMs

+ [[https://www.microsiervos.com/archivo/ia/deepseek-nuevo-modelo-ia-razonamiento-logico-resolucion-problemas-licencia-abierta-mit.html][DeepSeek: un nuevo modelo de IA especializado en razonamiento lógico, resolución de problemas y con licencia abierta MIT]]. No tiene nada que envidiar a los de OpenAI. ~ @Alvy. #AI #LLMs #DeepSeek

+ [[https://www.deepseek.com][DeepSeek: Into the unknown (Free access to DeepSeek-V3)]]. #AI #LLMs #DeepSeek

*** 23-Ene-25

+ [[https://lawrencecpaulson.github.io//2025/01/22/Dirichlet_Approx.html][Formalising an easy proof: Dirichlet's approximation theorem]]. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math

+ [[https://gasstationmanager.github.io/ai/2025/01/22/hallucination.html][Hallucination detection and recovery: Initial experiment]]. ~ GasStationManager. #LLMs #ITP #LeanProver

+ [[https://agileabstractions.com/advanced-python-course/][Advanced Python course]]. ~ Michael Foord. #Python #Programming

+ [[https://www.microsiervos.com/archivo/ia/eliza-psicoterapeuta-ia-rescatada-arqueologia-informatica.html][ELIZA, la primera psicoterapeuta programada con IA, rescatada del olvido gracias a la arqueología informática]]. ~ @Alvy. #IA

*** 22-Ene-25

+ [[https://arxiv.org/abs/2501.10852][Formalising new mathematics in Isabelle: Diagonal Ramsey]]. ~ Lawrence C Paulson. #ITP #IsabelleHOL #Math

+ [[https://arxiv.org/abs/2501.10802][Logical relations for formally verified authenticated data structures]]. ~ Simon Oddershede Gregersen, Chaitanya Agarwal, Joseph Tassarotti. #ITP #Coq #Rocq

+ [[https://blog.jle.im/entry/advent-of-code-2024.html][Advent of Code 2024: Haskell solution reflections for all 25 days]]. ~ Justin Le. #Haskell #FunctionalProgramming

+ [[https://youtu.be/O12SZqIwYCk][Scientific computing in Lean]]. ~ Tomas Skrivan. #ITP #LeanProver #Math

+ [[https://youtu.be/I7HgWMnlFfM][Alpha-beta pruning explored, extended and verified]]. ~ Tobias Nipkow. #ITP #IsabelleHOL

+ [[https://youtu.be/hrad_luUMC0][Can a computer judge interestingness?]] ~ Michael Douglas. #AI #Math

+ [[https://youtu.be/HBPg-K9ieng][Formalising real algebraic geometry]]. ~ Artie Khovanov, Michael Nedzelsky, Wenda Li. #ITP #IsabelleHOL #Math

+ [[https://youtu.be/i5Y6yskMupI][The Mandelbrot set is connected (and other Lean explorations)]]. ~ Geoffrey Irving. #ITP #LeanProver #Math

+ [[https://youtu.be/zIY93BZItIM][Formalising theory of combinatorial optimisation]]. ~ Mohammad Abdulaziz. #ITP #IsabelleHOL #Math

+ [[https://youtu.be/dJtF4P0XVUM][Condensed type theory]]. ~ Johan Commelin. #ITP #LeanProver #Math

+ [[https://youtu.be/u99bCHubf4w][How to prove Fermat's Last Theorem]]. ~ Kevin Buzzard. #ITP #LeanProver #Math

+ [[https://youtu.be/n1bko_uMseg][Structures in dependent type theory]]. ~ Jeremy Avigad. #ITP #LeanProver

+ [[https://youtu.be/QGBgQtPZTdU][Comparative formalisation of Kneser's theorem]]. ~ Mantas Bakšys, Yaël Dillies. #ITP #IsabelleHOL #LeanProver #Math

+ [[https://youtu.be/24T339nz9ik][Lawvere theories in Lean]]. ~ Adam Topaz. #ITP #LeanProver #Math

+ [[https://youtu.be/0U3qWmIbMns][How to teach Fourier analysis to a large library of formalised mathematics]]. ~ Yaël Dillies. #ITP #LeanProver #Math

+ [[https://youtu.be/HeQKT6OeIX4][Computer algebra and the formalisation of new mathematics]]. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math

+ [[https://youtu.be/QCRLwC5JQw0][Formalizing the divided power envelope in Lean]]. ~ María Inés de Frutos Fernández. #ITP #LeanProver #Math

+ [[https://youtu.be/2MBe6minTfE][New Foundations: the story of a large formalisation project]]. ~ Sky Wilshaw. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2501.10465][The mathematics of Artificial Intelligence]]. ~ Gabriel Peyré. #AI #Math

+ [[https://arxiv.org/abs/2412.12361][The Ramanujan Library (Automated discovery on the hypergraph of integer relations)]]. ~ Itay Beit-Halachmi, Ido Kaminer. #Math #CompSci

+ [[https://wikenigma.org.uk][Wikenigma: An encyclopedia of unknowns]]. #Math #CompSci

*** 21-Ene-25

+ [[https://youtu.be/h5Xy4YjCZxM][Describing domino tilings with Prolog]]. ~ Markus Triska. #Prolog #LogicProgramming

+ [[https://xenaproject.wordpress.com/2025/01/20/think-of-a-number/][Think of a number]]. ~ Kevin Buzzard. #AI #LLMs #Math

+ [[https://www.isa-afp.org/entries/Negative_Association.html][Negatively associated random variables (in Isabelle/HOL)]]. ~ Emin Karayel. #ITP #IsabelleHOL #Math

+ [[https://www.gaussianos.com/las-series-de-kempner-o-que-ocurre-cuando-quito-un-digito/][Las series de Kempner, o qué ocurre cuando quito un dígito]]. ~ Miguel Ángel Morales. #Matemáticas

*** 20-Ene-25

+ [[https://arxiv.org/abs/2501.09769][Classifying the groups of order pq in Lean]]. ~ Scott Harper, Peiran Wu. #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2409.18030][Certifying rings of integers in number fields]]. ~ Anne Baanen, Alain Chavarri Villarello, Sander R. Dahmen. #ITP #LeanProver #Math

+ [[https://leanfirststeps.blogspot.com/2025/01/22-recursion.html][Lean: First steps (22 - Recursion)]]. ~ Tariq Rashid. #ITP #LeanProver #Lean4 #Math

+ [[https://youtu.be/McHUB7pyj6I][Lean: First steps (22 - Recursion) [Video]]]. ~ Tariq Rashid. #ITP #LeanProver #Lean4 #Math

+ [[https://youtube.com/playlist?list=PLlF-CfQhukNlzXdQvu1SVt9vcD4--fLlg][Lean Together 2025]]. #ITP #LeanProver

+ [[https://arxiv.org/abs/2501.10127][A formally verified IEEE 754 floating-point implementation of interval iteration for MDPs]]. ~ Bram Kohlen, Maximilian Schäffeler, Mohammad Abzulaziz, Arnd Hartmanns, Peter Lammich. #ITP #IsabelleHOL

+ [[https://abhinavsarkar.net/posts/brainfuck-interpreter/][Interpreting Brainfuck in Haskell]]. ~ Abhinav Sarkar. #Haskell #FunctionalProgramming

+ [[https://personal.cis.strath.ac.uk/conor.mcbride/pub/hasochism.pdf][Hasochism: The pleasure and pain of dependently typed Haskell programming]]. ~ Sam Lindley, Conor McBride. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2501.10102v1][An efficient algorithm for permutation iteration using a singly linked list]]. ~ Thomas Baruchel. #CommonLisp #Algorithms

+ [[https://janet-lang.org/][Janet: a functional and imperative programming language]]. #JanetLang #FunctionalProgramming

+ [[https://janet.guide/][Janet for mortals (a real book)]]. ~ Ian Henry. #JanetLang #FunctionalProgramming

+ [[https://github.com/ianthehenry/bauble][Bauble: A playground for making 3D art with lisp and math]]. ~ Ian Henry et als. #JanetLang #FunctionalProgramming

+ [[https://ianthehenry.com/posts/bauble/building-bauble/][Building Bauble]]. ~ Ian Henry #JanetLang #FunctionalProgramming

+ [[https://github.com/ahungry/awesome-janet][Awesome Janet: Curated list of libraries and tooling for the Janet programming language]]. ~ Matthew Carter. #JanetLang #FunctionalProgramming

+ [[https://arxiv.org/abs/2501.08774][How developers interact with AI: A taxonomy of human-AI collaboration in software engineering]]. ~ Christoph Treude, Marco A. Gerosa. #AI #LLMs #Programming

*** 19-Ene-25

+ [[https://github.com/marcusrossel/verified-compiler][A toy example of a verified compiler]]. ~ Marcus Rossel. #ITP #LeanProver

+ [[https://reasonablypolymorphic.com/blog/code-lenses/index.html][A new perspective on lenses]]. ~ Sandy Maguire. #Haskell #FunctionalProgrammingo

+ [[https://arxiv.org/abs/2501.09223][Foundations of Large Language Models]]. ~ Tong Xiao, Jingbo Zhu. #eBook #AI #LLMs

+ [[https://zenodo.org/records/14673347][Language models and structured data]]. ~ Mehwish Alam. #LLMs

*** 18-Ene-25

+ [[https://theses.hal.science/tel-04884651/document][Formal proofs in applied mathematics: A Coq formalization of simplicial Lagrange finite elements]]. ~ Houda Mouhcine. #ITP #Coq #Rocq #Math

+ [[https://escholarship.org/uc/item/0b2298fh][Neurosymbolic tools for effective coding and debugging]]. ~ Georgios Sakkas. #AI #MachineLearning #LLMs

+ [[https://funcall.blogspot.com/2025/01/iteration.html][Iteration]]. ~ Joe Marshall. #CommonLisp

+ [[https://lisp-docs.github.io/docs/tutorial][Lisp tutorial]]. ~ Daniel Nussenbaum. #CommonLisp

+ [[https://blog.djhaskin.com/blog/release-common-lisp-on-your-first-day/][Release Common Lisp on your first day]]. ~ Dan's Musings. #CommonLisp

+ [[https://github.com/Dimercel/listopia][Listopia: List manipulation library inspired by Haskell package Data.List]]. ~ Ito Dimercel. #CommonLisp #Haskell

+ [[https://youtu.be/cKK-Y1-jAHM][Lisp programming language (Full course for beginners)]]. ~ Alberto Lerda. #CommonLisp

+ [[https://books.google.nl/books?id=sgfXEAAAQBAJ&newbks=1&newbks_redir=0&lpg=PP1&hl=es&pg=PP1#v=onepage&q&f=false][Neuro symbolic reasoning and learning]]. ~ Paulo Shakarian, Chitta Baral, Gerardo I. Simari, Bowen Xi, Lahari Pokala. #Logic #AI #MachineLearning

+ [[https://arstechnica.com/ai/2025/01/how-i-program-with-llms/][How I program with LLMs]]. ~ David Crawshaw. #LLMs #Programming

*** 17-Ene-25

+ [[https://arxiv.org/abs/2501.09418][Verified and optimized implementation of orthologic proof search]]. ~ Simon Guilloud, Clément Pit-Claudel. #ITP #Coq #Rocq #Logic

+ [[https://youtu.be/cabiomTEWe0][Scaling mathlib: tooling and automation for an ever-growing mathematics library]]. ~ Michael Rothgang. #ITP #LeanProver

+ [[https://youtu.be/w29spLdOFrY][Progress report on the Carleson Project]]. ~ Floris van Doorn. #ITP #LeanProver #Math

+ [[https://youtu.be/Nnxp92NGB9c][Egg: An equality saturation tactic in Lean]]. ~ Marcus Rossel et als. #ITP #LeanProver

+ [[https://youtu.be/T9fhMJmJRAw][lean-SMT]]. ~ Abdalrhman Mohamed. #ITP #LeanProver

+ [[https://youtu.be/4yLegqAU6W8][Toward functor quasi-categories in Lean]]. ~ Jack McKoen. #ITP #LeanProver

+ [[https://youtu.be/nEMaiZD3iQk][Verified foundations for differential privacy]]. ~ Jean-Baptiste Tristan. #ITP #LeanProver

+ [[https://www.johndcook.com/blog/2025/01/16/can-ai-models-reason-is-data-all-you-need-2/][Can AI models reason: Is data all you need?]] ~ Wayne Joubert. #AI #LLMs #Reasoning

*** 16-Ene-25

+ [[https://adam.math.hhu.de][Game "An introduction to constructive logic"]]. ~ Mark Fischer et als./#/g/trequetrum/lean4game-logic #ITP #LeanProver #Logic

+ [[https://youtu.be/bmqEmc1nkkU][Vertex algebras in Mathlib: coming soon?]] ~ Scott Carnahan. #ITP #LeanProver #Math

+ [[https://youtu.be/bTueWi6OdSg][Real world autoformalization]]. ~ Siddhartha Gadgil. #ITP #LeanProver #Math

+ [[https://youtu.be/1uBhzXy9UqA][Building a formal verification framework for smart contracts]]. ~ Jakob von Raumer. #ITP #LeanProver

+ [[https://youtu.be/JAJCydIRAwA][The last mile: How do we make AI theorem provers which work in the real world for real users and not just on benchmarks?]] ~ Jason Rute. #ITP #LeanProver #AI

+ [[https://youtu.be/7M7Z-iDMM8Y][Information theory in Lean: the DPI]]. ~ Lorenzo Luccioli. #ITP #LeanProver

+ [[https://youtu.be/9eI3eI7YssE][A nimble introduction to nimbers]]. ~ Violeta Hernández Palacios. #ITP #LeanProver #Math

+ [[https://csimmaviktor.web.elte.hu/acorn.pdf][An agda2hs-compatible representation of exact real arithmetic]]. ~ Viktor Csimma. #ITP #Agda #FunctionalProgramming #Haskell

+ [[https://arxiv.org/abs/2501.08569][Evaluating SAT and SMT solvers on large-scale sudoku puzzles]]. ~ Liam Davis, Tairan Ji. #SAT #SMT

+ [[https://www.youtube.com/live/ww4C3jlsesw][The Haskell Unfolder Episode 38: tasting and testing CUDA (map, fold, scan)]]. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2412.03205][U-MATH: A university-level benchmark for evaluating mathematical skills in LLMs]]. ~ Konstantin Chernyshev, Vitaliy Polshkov, Ekaterina Artemova, Alex Myasnikov, Vlad Stepanov, Alexei Miasnikov, Sergei Tilga. #LLMs #Math

*** 15-Ene-25

+ [[https://youtu.be/ZPPDktjL1Lw][Root systems and root data in Mathlib]]. ~ Oliver Nash. #ITP #LeanProver

+ [[https://youtu.be/734jMwgjkkM][An introduction to linters]]. ~ Damiano Testa. #ITP #LeanProver

+ [[https://youtu.be/gRANtwNOZQY][Efficient forward reasoning for Aesop]]. ~ Xavier Généreux, Jannis Limperg. #ITP #LeanProver

+ [[https://youtu.be/pV6BIImkToU][The ∞-cosmos project: formalizing 1-, 2-, V-, and ∞-category theory]]. ~ Emily Riehl. #ITP #LeanProver

+ [[https://youtu.be/67Ea9WbeAPI][Searching for proof improvements with tryAtEachStep]]. ~ David Renshaw. #ITP #LeanProver

+ [[https://youtu.be/wOQuW6QFdos][From Aristotle to the iPhone]]. ~ Moshe Vardi. #Logic #Math #CompSci

*** 14-Ene-25

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705882][An Isabelle/HOL framework for synthetic completeness proofs]]. ~ Asta Halkjær From. #ITP #IsabelleHOL

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705889][An Isabelle formalization of co-rewrite pairs for non-reachability in term rewriting]]. ~ Dohan Kim, Teppei Saito, René Thiemann, Akihisa Yamada. #ITP #IsabelleHOL

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705881][Formalizing simultaneous critical pairs for confluence of left-linear rewrite systems]]. ~ Christina Kirk, Aart Middeldorp. #ITP #IsabelleHOL

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705883][Formalized Burrows-Wheeler transform]]. ~ Louis Cheung, Alistair Moffat, Christine Rizkallah. #ITP #IsabelleHOL

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705887][Formalizing the one-way to hiding theorem]]. ~ Katharina Heidler, Dominique Unruh. #ITP #IsabelleHOL

+ [[https://dl.acm.org/doi/pdf/10.1145/3703595.3705886][Further tackling Post correspondence problem and proof generation]]. ~ Akihiro Omori, Yasuhiko Minamide. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2212.08515][The formal theory of monads, univalently]]. ~ Niels van der Weide. #ITP #Coq #Rocq

+ [[https://chrisdone.com/posts/hell-year-in-review-2025/][Hell (Haskell shell): Year in review]]. ~ Chris Done. #Haskell #FunctionalProgramming

*** 13-Ene-25

+ [[https://www.cambridge.org/core/journals/journal-of-functional-programming/article/practical-formalization-of-monadic-equational-reasoning-in-dependenttype-theory/B59B87DE000F48B9807F24AEDB11452E][A practical formalization of monadic equational reasoning in dependent-type theory]]. ~ Reynald Affeldt, Jacques Garrigue, Takafumi Saikawa. #ITP #Coq #Rocq

+ [[https://dl.acm.org/doi/pdf/10.1145/3704889][Coinductive proofs for temporal hyperliveness]]. ~ Arthur Correnson, Bernd Finkbeiner. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2501.05259v1][Reversible computation with stacks and "Reversible management of failures"]]. ~ Matteo Palazzo, Luca Roversi. #ITP #Coq #Rocq

+ [[https://dl.acm.org/doi/pdf/10.1145/3704880][Preservation of speculative constant-time by compilation]]. ~ Santiago Arranz Olmos, Gilles Barthe, Lionel Blatter, Benjamin Grégoire, Vincent Laporte. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2501.05463][Proof recommendation system for the HOL4 theorem prover]]. ~ Nour Dekhil, Adnan Rashid, Sofiene Tahar. #ITP #HOL4

+ [[https://funcall.blogspot.com/2024/05/the-way-of-lisp-or-right-way.html ][The way of Lisp or the right thing]]. ~ Joe Marshall. #CommonLisp #Programming

+ [[https://stevelosh.com/blog/2018/08/a-road-to-common-lisp/][A road to Common Lisp]]. ~ Steve Losh (2018). #CommonLisp

+ [[https://docs.stevelosh.com/cl-digraph/][cl-digraph: an implementation of a mutable directed graph data structure for Common Lisp]]. ~ Steve Losh. #CommonLisp #Math

*** 12-Ene-25

+ [[https://hal.science/hal-04859455/document][Prouver que π est irrationnel avec MathComp-Analysis]]. ~ Reynald Affeldt. #ITP #Coq #Rocq #Math

+ [[https://hal.science/hal-04859508v1/file/jfla2025-final76.pdf][Reconciling impredicative axiom and universe]]. ~ Stefan Monnier. #ITP #Coq #Rocq #HoTT

+ [[https://hal.science/hal-04859406/document][Vers une automatisation de la certification des propriétés de clôture pour Prolog]]. ~ Thierry Marianne, Fred Mesnard, Etienne Payet. #Prolog #LogicProgramming #LPTP

+ [[https://blog.djhaskin.com/blog/why-i-chose-common-lisp/][Why I chose Common Lisp]]. ~ Dan's Musings. #CommonLisp

+ [[https://blog.djhaskin.com/blog/common-lisp-community-survey-2024-results/][Common Lisp community survey 2024 results]]. ~ Dan Haskin. #CommonLisp

+ [[https://lisp-lang.org/][Common Lisp]]. #CommonLisp

*** 11-Ene-25

+ [[https://raw.githubusercontent.com/jwbuurlage/category-theory-programmers/master/doc/categories_for_programmers.pdf][Categories and Haskell (An introduction to the mathematics behind modern functional programming)]]. ~ Jan-Willem Buurlage. #CategoryTheory #Haskell #FunctionalProgramming

+ [[https://github.com/facebookresearch/LeanUniverse][LeanUniverse: A library for consistent and scalable Lean4 dataset management]]. ~ Aram H. Markosyan, Gabriel Synnaeve, Hugh Leather. #ITP #LeanProver

+ [[https://hal.science/hal-04859450v1/file/jfla2025-final36.pdf][Proxy-based small inversions: a case study in MetaCoq programming]]. ~ Pierre Corbineau, Basile Gros, Jean-François Monin. #ITP #Coq #Rocq

+ [[https://trendsfp.github.io/abstracts/paper-006.pdf][On the correctness of Barron and Strachey’s cartesian product function]]. ~ Wouter Swierstra, Jason Hemann. #Haskell #FunctionalProgramming #ITP #Agda

+ [[https://trendsfp.github.io/abstracts/paper-028.pdf][Alpha beta pruning with the selection monad]]. ~ Johannes Hartmann, Jeremy Gibbons. #Haskell #FunctionalProgramming

+ [[https://trendsfp.github.io/abstracts/paper-012.pdf][Using GHC core to normalise student programs]]. ~ Matilda Blomqvist, Alex Gerdes. #Haskell #FunctionalProgramming

+ [[https://trendsfp.github.io/abstracts/paper-007.pdf][Shallowly embedded functions]]. ~ Mart Lubbers, Pieter Koopman, Niek Janssen. #Haskell #FunctionalProgramming

+ [[https://trendsfp.github.io/abstracts/paper-010.pdf][CoScheme: Compositional copatterns in Scheme]]. ~ Paul Downen, Adriano Corbelino II. #FunctionalProgramming

+ [[https://cacm.acm.org/blogcacm/assessment-in-computer-science-education-in-the-genai-era/][Assessment in computer science education in the GenAI era (Prioritizing critical thinking over syntax mastery)]]. ~ Orit Hazzan. #ComputerSci #Education #GenAI

*** 10-Ene-25

+ [[https://user.math.uzh.ch/cattaneo/bottoni.pdf][Teaching "Foundations of mathematics" with the LEAN theorem prover (Master's Thesis)]]. #ITP #LeanProver #Logic #Math

+ [[https://aclanthology.org/D15-1118.pdf][Learning to automatically solve logic grid puzzles]]. ~ Arindam Mitra, Chitta Baral (2015). #ASP #LogicProgramming

+ [[https://arxiv.org/abs/2501.05435][Neuro-symbolic AI in 2024: A systematic review]]. ~ Brandon C. Colelough, William Regli. #AI #NeuroSymbolicAI

+ [[https://www.microsiervos.com/archivo/ia/comparador-modelos-inteligencia-artificial.html][Un comparador de modelos de Inteligencia Artificial]]. ~ @Alvy. #AI #LLMs

*** 09-Ene-25

+ [[https://arxiv.org/abs/2501.03352][Teaching "Foundations of mathematics" with the LEAN theorem prover]]. ~ Mattia Luciano Bottoni, Alberto S. Cattaneo, Elif Sacikara. #ITP #LeanProver #Math

+ [[https://blog.haskell.org/case-study-foreign-integration-js-browser/][Using a JavaScript component inside a Haskell application]]. ~ Mateusz Goślinowski. #Haskell #FunctionalProgramming #JavaScript

+ [[https://arxiv.org/abs/2403.04807][Mathematics of neural networks (Lecture notes graduate course)]]. ~ Bart M.N. Smets. #NeuralNetwork #Math

+ [[https://math.umd.edu/~dkueker/712.pdf][Notes on mathematical logic (Vol. 1)]]. ~ David W. Kueker. #Logic #Math

+ [[https://math.umd.edu/~dkueker/713.pdf][Notes on mathematical logic (Vol. 2)]]. ~ David W. Kueker. #Logic #Math

+ [[https://www.elladodelmal.com/2025/01/chatgpt-como-hacer-mi-mejorar-mi.html][ChatGPT: Cómo hacer (y mejorar) mi Trabajo de Fin de Carrera de la Universidad en un par de minutos]]. ~ Chema Alonso. #ChatGPT #Python #Programming

*** 08-Ene-25

+ [[https://www.isa-afp.org/entries/Notes_On_Goedels_Ontological_Argument.html][Notes on Gödel’s and Scott’s variants of the ontological argument (Isabelle/HOL dataset)]]. ~ Christoph Benzmüller. #ITP #IsabelleHOL

+ [[https://www.johndcook.com/blog/2025/01/07/can-ai-models-reason-like-a-human/][Can AI models reason like a human?]] ~ Wayne Joubert. #AI #LLMs

+ [[https://cacm.acm.org/opinion/artificial-intelligence-then-and-now/][Artificial intelligence then and now (From engines of logic to engines of bullshit?)]]. ~ Thomas Haigh. #AI #MachineLearning #LLMs

*** 06-Ene-25

+ [[https://lawrencecpaulson.github.io//2025/01/06/Code_Generation.html][Computing huge Fibonacci numbers, by proof and by code]]. ~ Lawrence Paulson. #ITP #IsabelleHOL

+ [[https://youtu.be/E55hdgQTcms][Lean: First steps (21 - Simple induction)]]. ~ Tariq Rashid. #ITP #LeanProver #Lean4 #Math

+ [[https://archive.is/Ibtv#selection-733.0-733.66][Mathematicians found – and fixed – an error in a 60-year-old proof]]. ~ Alex Wilkins.L #ITP #LeanProver #Math

+ [[https://arxiv.org/abs/2501.00059][Large language models for mathematical analysis]]. ~ Ziye Chen, Hao Qi. #AI #LLMs #Math

+ [[https://bora.uib.no/bora-xmlui/handle/11250/3170892][On planarity of graphs in homotopy type theory]]. ~ Cubides, Jonathan Steven Prieto; Gylterud, Håkon Robbestad. #ITP #Agda #HoTT

+ [[https://arxiv.org/abs/2412.19463][Laws of quantum programming]]. ~ Mingsheng Ying, Li Zhou, Gilles Barthe. #ITP #Coq #Rocq #QuantumProgramming

+ [[https://www.microsiervos.com/archivo/libros/libro-recursivo-recursividad.html][El libro recursivo de la recursividad]]. ~ @Alvy. #Programación

*** 04-Ene-25

+ [[https://www.cambridge.org/core/journals/journal-of-symbolic-logic/article/categorical-foundations-of-formalized-condensed-mathematics/0A003200BE44C4F78859DFAE19E3FFA8][Categorical foundations of formalized condensed mathematics]]. ~ Dagur Asgeirsson et als.. #ITP #LeanProver #Math

+ [[https://overlay.uniud.it/workshop/2024/papers/paper5.pdf][Growing HOLMS, a HOL Light library for modal systems]]. ~ Antonella Bilotta, Marco Maggesi, Cosimo Perini Brogi, Leonardo Quartini. #ITP #HOL_Light #Logic

+ [[https://intapi.sciendo.com/pdf/10.2478/forma-2024-0011][Ascoli-Arzel`a theorem (Metric space version)]]. ~ Keiichi Miyajima, Hiroshi Yamazaki. #ITP #Mizar #Math

+ [[https://intapi.sciendo.com/pdf/10.2478/forma-2024-0012][Universality of measure space]]. ~ Noboru Endou, Yasunari Shidama. #ITP #Mizar #Math

+ [[https://intapi.sciendo.com/pdf/10.2478/forma-2024-0010][Formalization of orthogonal complements of normed spaces]]. ~ Hiroyuki Okazaki. #ITP #Mizar #Math

*** 03-Ene-25

+ [[https://inria.hal.science/hal-04859512/file/jfla2025-final84.pdf][Décomposition algébrique cylindrique en Coq/Rocq]]. ~ Quentin Vermande. #ITP #Coq #Rocq #Math

+ [[https://inria.hal.science/hal-04859469/document][Formalizing adhesive category theory in Rocq]]. ~ Samuel Arsac, Russell Harmer, Damien Pous. #ITP #Rocq

+ [[https://inria.hal.science/hal-04859533/document][Vérification de bout en bout d’une fonction de bibliothèque mathématique]]. ~ Paul Geneau de Lamarlière. #ITP #Coq #Rocq #Math

+ [[https://inria.hal.science/hal-04859400/file/jfla2025-final4.pdf][Safe external calls from formally verified functional code: exiting the monad, and a BDD case study]]. ~ David Monniaux, Sylvain Boulmé. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2412.19826][Modular probabilistic programming with algebraic effects]]. ~ Oliver Goldstein, Ohad Kammar. #Haskell #FunctionalProgramming

+ [[https://www.cs.columbia.edu/~sedwards/classes/2024/4995-fall/reports/Convex_Hull-report.pdf][Parallel QuickHull algorithm in Haskell]]. ~ George Morgulis, Henry Lin. #Haskell #FunctionalProgramming

+ [[https://www.cs.columbia.edu/~sedwards/classes/2024/4995-fall/reports/tsp-sat-report.pdf][Parallel SAT solver]]. ~ Yixuan Li, Jiaqian Li, Phoebe Wang. #Haskell #FunctionalProgramming

+ [[https://inria.hal.science/hal-04859464/file/jfla2025-final54.pdf][Storable types: free, absorbing, custom]]. ~ Basile Clément, Camille Noûs, Gabriel Scherer. #OCaml #FunctionalProgramming

+ [[https://inria.hal.science/hal-04859446/document][Typechecking of overloading in programming languages and mechanized mathematics]]. ~ Arthur Charguéraud, Martin Bodin, Louis Riboulet. #OCaml #FunctionalProgramming

+ [[https://www.diva-portal.org/smash/get/diva2:1923801/FULLTEXT01.pdf][Applying machine learning to number-theoretical data (A focus on class groups of imaginary quadratic fields)]]. ~ Hugo Sträng. #AI #MachineLearning #Math

*** 01-Ene-25

+ [[https://leanfirststeps.blogspot.com/2024/12/21-induction.html][Lean: First steps (21 - Simple induction)]]. ~ Tariq Rashid. #ITP #LeanProver #Lean4 #Math

+ [[https://intapi.sciendo.com/pdf/10.2478/forma-2024-0008][Formal proof of transcendence of the number e (Part I)]]. ~ Yasushige Watase. #ITP #Mizar #Math

+ [[https://intapi.sciendo.com/pdf/10.2478/forma-2024-0009][Formal proof of transcendence of the number e (Part II)]]. ~ Yasushige Watase. #ITP #Mizar #Math

* Lecturas del año 2024

** Diciembre 2024

*** 31-Dic-24

+ [[https://arxiv.org/abs/2412.20878][A formal correctness proof of Edmonds' blossom shrinking algorithm]]. ~ Mohammad Abdulaziz. #ITP #IsabelleHOL

*** 30-Dic-24

+ [[https://pcsc.dlsu.edu.ph/proceedings/main-conference/67.pdf][Formal verification of a custom scheduling algorithm and specification of a Round-Robin implementation using Coq]]. ~ Christian Choa et als. #ITP #Coq #Rocq

+ [[https://pcsc.dlsu.edu.ph/proceedings/main-conference/54.pdf][Formal verification of shortest job first scheduling algorithm in Coq]]. ~ Jian Lawrence Luteria et als. #ITP #Coq #Rocq

+ [[https://rocq-prover.org/][Rocq prover: A trustworthy, industrial-strength interactive theorem prover and dependently-typed programming language for mechanised reasoning in mathematics, computer science and more]]. #ITP #Rocq

+ [[https://acatalepsie.fr/posts/haskell-dijkstra.html][Generalized Dijkstra in Haskell]]. ~ Lucas Escot. #Haskell #FunctionalProgramming

+ [[https://courses.cs.northwestern.edu/325/readings/luv-slides.pdf][Tutorial on good Lisp programming style]]. ~ Peter Norvig, Kent Pitman (1993). #CommonLisp #Programming

+ [[https://norvig.github.io/paip-lisp][Paradigms of artificial intelligence programming (Case studies in Common Lisp)]]. ~ Peter Norvig. #eBook #AI #CommonLisp #Programming

+ [[https://github.com/chrisdone-archive/elisp-guide/blob/master/README.org][Emacs Lisp guide]]. ~ Chris Done. #Emacs #Lisp

+ [[https://abuseofnotation.github.io/category-theory-illustrated/00_about/][Category theory illustrated]]. ~ Jencel Panic. #CategoryTheory

+ [[https://www.cs.toronto.edu/~shaharry/csc236/resources/165.pdf][Mathematical expression and reasoning for computer science]]. ~ David Liu, Toniann Pitassi. #eBook #Logic #Math #CompSci

+ [[https://www.maketecheasier.com/use-emacs-as-desktop-environment-linux/][How to use Emacs as a desktop environment in Linux with EXWM]]. ~ Ramces Red. #Emacs

+ [[https://www.madrimasd.org/blogs/matematicas/2024/12/30/150806][Historias de la IA: los autómatas]]. ~ Manuel de León. #IA #Autómatas

*** 28-Dic-24

+ [[https://www.ams.org/journals/notices/202501/noti3041/noti3041.html?adat=January%202025&trk=3041&pdfissue=202501&pdffile=rnoti-p6.pdf&cat=none&type=.html][Machine-assisted proof]]. ~ Terence Tao. #Math #AI #ITP

+ [[https://www.ams.org/journals/notices/202501/noti3070/noti3070.html?adat=January%202025&trk=3070&pdfissue=202501&pdffile=rnoti-p62.pdf&cat=none&type=.html][AMS Advisory Group on Artificial Intelligence]]. ~ Akshay Venkatesh, Mark C. Wilson. #Math #AI

*** 27-Dic-24

+ [[https://www.isa-afp.org/entries/Generalized_Cauchy_Davenport.html][A generalization of the Cauchy–Davenport theorem (in Isabelle/HOL)]]. ~ Mantas Bakšys. #ITP #IsabelleHOL #Math

+ [[https://kclpure.kcl.ac.uk/ws/portalfiles/portal/317088061/verified_fmdps.pdf][Formally verified approximate policy iteration]]. ~ Maximilian Schäffeler, Mohammad Abdulaziz. #ITP #IsabelleHOL

+ [[https://www.ams.org/journals/notices/202411/noti3088/noti3088.html][Myths of mathematics teaching]]. ~ Daniel J. Velleman. #Math #Teaching

+ [[https://arxiv.org/abs/2412.16543][Mathematics and machine creativity: A survey on bridging mathematics with AI]]. ~ Shizhe Liang, Wei Zhang, Tianyang Zhong. #AI #LLMs  #Math

+ [[https://cacm.acm.org/blogcacm/ai-beyond-the-headlines/][AI: Beyond the headlines (The hype surrounding artificial intelligence has created misconceptions that may lead to missed opportunities)]]. ~ Erdin Beshimov. #AI

+ [[https://notxor.nueva-actitud.org/2024/12/26/dibujando-figuras-con-emacs.html][Dibujando figuras con Emacs]]. ~ Notxor. #Emacs

*** 25-Dic-24

+ [[https://leanfirststeps.blogspot.com/2024/12/20-contradictory-cases.html][Lean: First steps (20 - Contradictory cases)]]. ~ Tariq Rashid. #ITP #LeanProver #Lean4 #Math

+ [[https://www.marktarver.com/bipolar.html][The bipolar Lisp programmer]]. ~ Mark Tarver. #Lisp #Programming

*** 24-Dic-24

+ [[https://hal.science/hal-04838823v1/file/IMEDIL_COB_14dec2024_HAL.pdf][Teaching and learning proof in mathematics at university: new perspectives in education with proof assistants?]] ~ Cécile Ouvrier-Buffet. #ITP #Math #Education

+ [[https://arxiv.org/abs/2412.15184][Data for mathematical copilots: Better ways of presenting proofs for machine learning]]. ~ Simon Frieder et als. #AI #LLMs #Math

+ [[https://repository.tudelft.nl/file/File_b39e0ab0-422a-48db-8ce4-cef2e783c3cc][Compiling dependent type preconditions to runtime checks with Agda2Hs]]. ~ Jakob Naucke. #ITP #Agda #Haskell #FunctionalProgramming

*** 23-Dic-24

+ [[https://arxiv.org/abs/2412.16075][Formal mathematical reasoning: A new frontier in AI]]. ~ Kaiyu Yang, Gabriel Poesia, Jingxuan He, Wenda Li, Kristin Lauter, Swarat Chaudhuri, Dawn Song. #AI #Math #Reasoning #ITP #Coq #IsabelleHOL #LeanProver #Autoformalization

+ [[https://xenaproject.wordpress.com/2024/12/22/can-ai-do-maths-yet-thoughts-from-a-mathematician/][Can AI do maths yet? Thoughts from a mathematician]]. ~ Kevin Buzzard. #AI #ITP #Math

+ [[https://arxiv.org/abs/2410.10908][The state of Julia for scientific machine learning]]. ~ Edward Berman, Jacob Ginesin. #Programming #JuliaLang #Python #MachineLearning

+ [[https://arxiv.org/abs/2410.00726][LTLf synthesis on first-order agent programs in nondeterministic environments]]. ~ Till Hofmann, Jens Claßen. #AI #Golog #LogicProgramming

*** 21-Dic-24

+ [[https://lawrencecpaulson.github.io//2024/12/20/Quickstart.html][Isabelle quick start guide]]. ~ Lawrence Paulson. #ITP #IsabelleHOL #Math

+ [[https://hatwd.com/p/an-imperative-programmer-tries-to][An imperative programmer tries to learn Haskell]]. ~ Thane Thomson. #Haskell #FunctionalProgramming

+ [[https://gist.github.com/amacgillivray/c37a2a860df5117561ec64604bcb6b7d][Solving perfect numbers quickly with Haskell]]. ~ Andrew MacGillivray. #Haskell #FunctionalProgramming

*** 20-Dic-24

+ [[https://jaalonso.github.io/exercitium/posts/2022/02/02-reiteracion_de_suma_de_consecutivos/][#Exercitium: Reiteración de suma de consecutivos]]. #Haskell #Python #Matemáticas

+ [[https://thmprover.wordpress.com/2024/12/19/formalize-the-octonions/][Formalize the octonions]]. ~ Alex Nelson. #ITP #Mizar #Math

+ [[https://philsci-archive.pitt.edu/24406/1/apriori_opacity_ai.pdf][Apriori knowledge in an era of computational opacity: The role of AI in mathematical discovery]]. ~ Eamon Duede, Kevin Davey. #AI #Math

*** 19-Dic-24

+ [[https://backend.orbit.dtu.dk/ws/portalfiles/portal/383716082/Isabelle_2024_paper_5.pdf][A formalization of sequent calculus for classical implicational logic]]. ~ Frederik Krogsdal Jacobsen, Jørgen Villadsen. #ITP #IsabelleHOL #Logic

+ [[https://repozytorium.uwb.edu.pl/jspui/bitstream/11320/17756/1/Elementary-Number-Theory-Problems-Part-XV-Diophantine-Equations.pdf][Elementary number theory problems (Part XV – Diophantine equations)]]. ~ Karol Pąk, Artur Korniłowicz. #ITP #Mizar #Math

+ [[https://repositorio-aberto.up.pt/bitstream/10216/164137/2/700562.pdf][Linear calculi: A comparison approach]]. ~ Ana Jorge Carvalho de Soares Almeida. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2412.11936][A survey of mathematical reasoning in the era of multimodal large language model: Benchmark, method & challenges]]. ~ Yibo Yan et als. #LLMs #Math #Reasoning

*** 17-Dic-24

+ [[https://maxsnew.com/docs/lambek.pdf][Intrinsic verification of parsers and formal grammar theory in dependent Lambek calculus]]. ~ Steven Schaefer et als. #ITP #Agda

+ [[https://mikedodds.github.io/files/talks/2024-12-5-proofs-in-the-wild.pdf][Proofs in the Wild]]. ~ Mike Dodds. #ITP #AI

+ [[https://thmprover.wordpress.com/2024/12/16/loops-in-mizar/][Loops in Mizar]]. ~ Alex Nelson. #ITP #Mizar #Math

+ [[https://books.google.es/books?id=9RE1EQAAQBAJ&newbks=1&newbks_redir=0&lpg=PR1&dq=Artificial%20Intelligence%3A%20Principles%20and%20Practice&hl=es&pg=PR][Artificial intelligence: Principles and practice]]. ~ George F. Luger.1#v=onepage&q=Artificial%20Intelligence:%20Principles%20and%20Practice&f=false #AI

*** 16-Dic-24

+ [[https://leanfirststeps.blogspot.com/2024/12/19-reductio-ad-absurdum.html][Lean: First steps (19 - Reductio ad absurdum)]]. ~ Tariq Rashid. #ITP #LeanLang #Lean4 #Math

+ [[https://www.cambridge.org/core/journals/journal-of-functional-programming/article/bottomup-computation-using-trees-of-sublists/5FC308F9732880B018C841EA424B09FA][Bottom-up computation using trees of sublists]]. ~ Shin-Cheng Mu. #Haskell #FunctionalProgramming

+ [[https://www.philipzucker.com/knuckle_lemma/]['Lean-style' tactics in Knuckledragger]]. ~ Philip Zucker. #Logic #SMT #Z3 #Python

+ [[https://www.cambridge.org/core/journals/journal-of-functional-programming/article/an-example-of-goaldirected-calculational-proof/A20D6BD38245A04263684CFDC5375C0D][An example of goal-directed, calculational proof]]. ~ Roland Carl Backhouse, Walter Guttmann, Michael Winter. #Logic

+ [[https://www.p-cos.net/lisp/guide.html][Pascal Costanza's Highly Opinionated Guide to Lisp]]. ~ Pascal Costanza. #CommonLisp #Programming

+ [[https://arxiv.org/abs/2412.10673][Proposing and solving olympiad geometry with guided tree search]]. ~ Chi Zhang et als. #AI #Math

*** 15-Dic-24

+ [[https://link.springer.com/book/10.1007/978-3-031-68538-5][Category theory using Haskell (An introduction with Moggi and Yoneda)]]. ~ Shuichi Yukita. #Haskell #FunctionalProgramming #CategoryTheory

+ [[https://youtu.be/Zu2oET6Xjow][The future of Math with o1 reasoning with Terence Tao, Mark Chen, and James Donovan]]. #AI #ITP #LeanProver #Math

*** 13-Dic-24

+ [[https://ssrg.ece.vt.edu/papers/popl25.pdf][On extending incorrectness logic with backwards reasoning]]. ~ Freek Verbeek, Md Syadus Sefat, Zhoulai Fu, Binoy Ravindran. #ITP #IsabelleHOL

+ [[https://arxiv.org/abs/2412.04864][Machine checked proofs and programs in algebraic combinatorics]]. ~ Florent Hivert. #ITP #Coq #Rocq #Math

+ [[https://philarchive.org/archive/FITUOI][Univocity of intuitionistic and classical connectives]]. ~ Rodolfo C. Ertola-Biraben, Branden Fitelson. #ATP #Prover9 #Mace4 #Logic #Math

*** 12-Dic-24

+ [[https://xenaproject.wordpress.com/2024/12/11/fermats-last-theorem-how-its-going/][Fermat’s Last Theorem — how it’s going]]. ~ Kevin Buzzard. #ITP #LeanLang #Lean4 #Math

*** 11-Dic-24

+ [[https://ceur-ws.org/Vol-3860/paper_6.pdf][Isomorphic transfer infrastructure for nested types in Isabelle/HOL (Work in progress)]]. ~ Gergely Buday, Andrei Popescu. #ITP #IsabelleHOL

+ [[https://cdsmithus.medium.com/when-is-a-call-stack-not-a-call-stack-f7f12d7aabbe][When is a call stack not a call stack?]] ~ Chris Smith. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2412.07325][Gödel's program in set theory]]. ~ Sandra Müller, Grigor Sargsyan. #Logic #Math #SetTheory

+ [[https://arxiv.org/abs/2201.04352][Constructive theory of ordinals]]. ~ Thierry Coquand, Henri Lombardi, Stefan Neuwirth. #Logic #Math #SetTheory

*** 10-Dic-24

+ [[https://www.philipzucker.com/ljt/][Dyckhoff intuitionistic propositional prover]]. ~ Philip Zucker. #Logic #SMT #Z3 #Python

+ [[https://arxiv.org/abs/2412.04110][Enhancing mathematical reasoning in LLMs with background operators]]. ~ Jiajun Chen, Yik-Cheung Tam. #LLMs #Prolog #LogicProgramming

*** 09-Dic-24

+ [[https://leni.sh/post/information-sign.01-coupling/][Information sign: Search and coupling (Metavariables, coupling, and formal proofs)]]. ~ Leni Aniva. #ITP #LeanLang #Lean4

+ [[https://www.well-typed.com/blog/2024/12/debuggable/][Debugging your Haskell application with debuggable]]. ~ Edsko de Vries. #Haskell #FunctionalProgramming

+ [[https://kazu-yamamoto.hatenablog.jp/entry/2024/12/04/180338][Myth and truth in Haskell asynchronous exceptions]]. ~ Kazu Yamamoto. #Haskell #FunctionalProgramming

*** 08-Dic-24

+ [[https://arxiv.org/abs/2412.03125][Gradual guarantee via step-indexed logical relations in Agda]]. ~ Jeremy G. Siek. #ITP #Agda

+ [[https://arxiv.org/abs/2412.03124][Explicit weakening]]. ~ Philip Wadler. #ITP #Agda

+ [[https://hal.science/hal-04818801/document][Formally verified hardening of C programs against hardware fault injection]]. ~ Basile Pesin, Sylvain Boulmé, David Monniaux, Marie-Laure Potet. #ITP #Coq

+ [[https://arxiv.org/abs/2412.02107][Efficient, portable, census-polymorphic choreographic programming]]. ~ Mako Bates, Shun Kashiwa, Syed Jafri, Gan Shen, Lindsey Kuper, Joseph P. Near. #Haskell #FunctionalProgramming

*** 06-Dic-24

+ [[http://ozark.hendrix.edu/~yorgey/pub/Fenwick-ext.pdf][You could have invented Fenwick trees]]. ~ Brent A. Yorgey. #Haskell #FunctionalProgramming

+ [[https://terrytao.wordpress.com/2024/12/05/ai-for-math-fund/][AI for Math fund]]. ~ Terence Tao. #AI #ITP #Math

+ [[https://youtu.be/vYCT7cw0ycw][(Re)imagining mathematics in a world of reasoning machines]]. ~ Akshay Venkatesh. #Math #ITP #AI

+ [[https://cacm.acm.org/opinion/on-program-synthesis-and-large-language-models/][On program synthesis and Large Language Models (Why it is unlikely new developments in machine intelligence will eventually make programming obsolete)]]. ~ Hans Hüttel. #AI #LLMs #Programming

+ [[https://arxiv.org/abs/2412.00248][Pourquoi existe-t-il de nombreux paradigmes de programmation?]] ~ Oscar Plaisant, Max Lemoine. #Programming #CompSci

*** 05-Dic-24

+ [[https://youtu.be/ar4ifBiRVoA][Lean: First steps (18 - Our Own Definition)]]. ~ Tariq Rashid. #ITP #LeanLang #Lean4 #Math

+ [[https://ltzhou.com/static/POPL25extended.pdf][QuickSub: Efficient iso-recursive subtyping]]. ~ Litao Zhou, Bruno C.D.S. Oliveira. #ITP #Coq #Rocq

+ [[https://arxiv.org/abs/2411.19397][Tail modulo cons, OCaml, and relational separation logic]]. ~ Clément Allain, Frédéric Bour, Basile Clément, François Pottier, Gabriel Scherer. #ITP #Coq #OCaml #FunctionalProgramming

+ [[https://www.isa-afp.org/entries/Hilbert_Space_Tensor_Product.html][The tensor product on Hilbert spaces (in Isabelle/HOL)]]. ~ Dominique Unruh. #ITP #IsabelleHOL #Math

+ [[https://www.youtube.com/live/KkKxHApYSfc][The Haskell Unfolder Episode 37: Solving Advent of Code 2024 day 4]]. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming

+ [[https://arxiv.org/abs/2411.18872][A Lean dataset for International Math Olympiad: Small steps towards writing math proofs for hard problems]]. ~ Roozbeh Yousefzadeh, Xuenan Cao. #LLMs #ITP #LeanLang #Lean4 #Math

+ [[https://arxiv.org/abs/2411.19744][Amplifying human performance in combinatorial competitive programming]]. ~ Petar Veličković, Alex Vitvitskyi, Larisa Markeeva, Borja Ibarz, Lars Buesing, Matej Balog, Alexander Novikov. #AI #LLMs #Math

+ [[https://www.ntnu.no/ojs/index.php/nikt/article/view/6205/5630][OnlineProver: First experience with teaching formal proofs]]. ~ Joachim Kristensen et als. #Logic #Teaching

*** 04-Dic-24

+ [[https://arxiv.org/abs/2412.01671][Verified foundations for differential privacy]]. ~ Markus de Medeiros et als. #ITP #LeanLang

+ [[https://arxiv.org/abs/1407.2650v3][Logic and linear algebra: An introduction]]. ~ Daniel Murfet. #Logic #Math

*** 03-Dic-24

+ [[https://youtu.be/qF8gcKh8IFA][Lean: First steps (17 - Using our own lemma)]]. ~ Tariq Rashid. #ITP #Lean4 #Math

+ [[https://nantes-universite.hal.science/hal-04801739/file/main.pdf][All your base are belong to U^s (Sort polymorphism for proof assistants)]]. ~ Josselin Poiret, Gaëtan Gilbert, Kenji Maillard, Pierre-Marie Pédrot, Matthieu Sozeau, Nicolas Tabareau, Éric Tanter. #ITP #CoqLang #Rocq

+ [[https://dl.acm.org/doi/pdf/10.1145/3706425][Mechanised safety verification for a distributed autonomous railway control system]]. ~ Robert Sachtleben, Anne Haxthausen, Jan Peleska. #ITP #IsabelleHOL

+ [[https://mathvalues.squarespace.com/masterblog/the-mathematician-whoincidentallyhelped-mathematicians-to-stop-worrying-and-love-the-computer][The mathematician who—incidentally—helped mathematicians to stop worrying and love the computer]]. ~ Keith Devlin. #Math

+ [[https://www.nature.com/articles/d41586-024-03940-y][ChatGPT turns two: how the AI chatbot has changed scientists’ lives (How many researchers are using the AI tool? Nature gathers data and talks to members of the academic community)]]. ~ Mariana Lenharo. #LLMs #ChatGPT

*** 02-Dic-24

+ [[https://jaalonso.github.io/calculemus/posts/2024/12/02-tendsto_mul/][Proofs of "If uₙ tends to a y vₙ tends to b, then uₙvₙ tends to ab"
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