Vestigium (Publicaciones sobre Rocq)

Readings shared December 29, 2025

José A. Alonso — Tue, 30 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 29 December 2025 are:

Hint-based SMT proof reconstruction. ~ Joshua Clune, Haniel Barbosa, Jeremy Avigad. #ITP #LeanProver #SMT
The biggest controversy in maths could be settled by a computer. Alex Wilkins. #ITP #LeanProver #Math
Report on the current situation surrounding inter-universal Teichmüller theory (IUT). ~ Shinichi Mochizuki. #Math #ITP #LeanProver
The machine-checked complete formalization of Landau’s foundations of analysis in Rocq. ~ Yue Guan, Yaoshun Fu, Xiangtao Meng. #ITP #Rocq #Math
Formal verification of Borrow-Checking by local commutation diagrams. ~ Alban Reynaud Michez. #ITP #Rocq
The unnegatable loop: Tetralemma's performative geometry (with Coq-verification). ~ Siegfried Meister. #ITP #CoqLang
Une sémantique de Kahn mécanisée pour les machines à états. ~ Timothy Bourke, Paul Jeanmaire, Marc Pouzet. #ITP #Rocq
Algebraizing higher-order effects. ~ Martin Andrieux, Alan Schmitt. #ITP #Agda
NAMOR: a new Agda library for modal extended sequents. ~ Riccardo Borsetto, Margherita Zorzi. #ITP #Agda
Formalisation de la stabilité de l’erreur d’estimation de l’inclinaison d’un robot. ~ Lynda Bentoucha, Reynald Affeldt. #ITP #Rocq
Tacq: Context aware tactic recommendation for Rocq. ~ Jules Viennot, Guillaume Baudart, Emilio Jesús Gallego Arias, Marc Lelarge, Theo Stoskopf. #ITP #Rocq
Assignments and strategies in democratic forking analysed with Isabelle/HOL. ~ Jan-Georg Smaus. #ITP #IsabelleHOL
Dynamic pushdown networks (in Isabelle/HOL). ~ Peter Lammich. #ITP #IsabelleHOL
Set reconciliation (in Isabelle/HOL). ~ Paul Hofmeier, Emin Karayel. #ITP #IsabelleHOL
On the design and implementation of Modular Explicits. ~ Samuel Vivien, Didier Rémy, Gabriel Scherer. #OCaml #FunctionalProgramming
Mapping and explaining syntax errors with LRgrep. ~ Frédéric Bour, François Pottier. #OCaml #FunctionalProgramming
Cairn : Trouver son chemin dans Menhir. ~ Vincent Penelle. #OCaml #FunctionalProgramming
Advent of Code 2025: Haskell solution reflections for all 12 days. ~ Justin Le. #Haskell #FunctionalProgramming
Carnap: a free and open software framework written in Haskell for teaching and studying formal logic. #Haskell #FunctionalProgramming #Logic
Vibe reasoning: Eliciting frontier AI mathematical capabilities (A case study on IMO 2025 Problem 6). ~ Jiaao Wu, Xian Zhang, Fan Yang, Yinpeng Dong. #AI #Math
Advice for amateur mathematicians on writing and publishing papers. ~ Henry Cohn. #Math
#Exercitium: Listas disjuntas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared December 19, 2025

José A. Alonso — Sat, 20 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 19 December 2025 are:

Proof engineering for program logics in Isabelle/HOL. ~ Chelsea L. Edmonds. #ITP #IsabelleHOL
Modular proofs in Isabelle/HOL. ~ Chelsea L. Edmonds. #ITP #IsabelleHOL
Prediction: AI will make formal verification go mainstream. ~ Martin Kleppmann. #AI #LLMs #ITP #LeanProver #IsabelleHOL #Rocq
Mathematics in the age of Large Language Models. ~ Przemyslaw Chojecki. #AI #Math
Advancing mathematics research with generative AI. ~ Lisa Carbone. #AI #Math #ITP #LeanProver
El triángulo de Pascal y las ternas pitagóricas. ~ Miguel Ángel Morales. #Matemáticas

Readings shared December 14, 2025

José A. Alonso — Mon, 15 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 14 December 2025 are:

A rose tree is blooming (Proof Pearl). ~ Joomy Korkut. #ITP #Rocq
A modular Lean 4 framework for confluence and strong normalization of lambda calculi with products and sums. ~ Arthur Ramos, Anjolina Oliveira, Ruy de Queiroz, Tiago de Veras. #ITP #LeanProver
Learning about proof with the theorem prover Lean: the abundant numbers task. ~ Athina Thoma, Paola Iannone. #ITP #LeanProver #Math
So, computers can prove theorems (in Lean), what’s next? ~ Alex J. Best. #AI #Math #ITP #LeanProver
Lessons from the PrimeNumberTheorem+ project and real analysis game. ~ Alex Kontorovich. #ITP #LeanProver #Math
Challenges in (auto)formalizing category theory. ~ Emily Riehl. #ITP #LeanProver #Math
The making of Lean. ~ Leo de Moura. #ITP #LeanProver
The Carleson project: formalization and collaboration. ~ Michael B. Rothgang. #ITP #LeanProver
Differential geometry in Mathlib. ~ Michael B. Rothgang. #ITP #LeanProver
Brownian motion and stochastic integrals. ~ Rémy Degenne et als. #ITP #LeanProver #Math
Probability theory in Mathlib. ~ Rémy Degenne. #ITP #LeanProver #Math
The Haskell Unfolder Episode 52: Bidirectional parsing and printing (of JSON). ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming
#Exercitium: Desemparejamiento de listas. #Haskell #ProgramaciónFuncional

Readings shared December 5, 2025

José A. Alonso — Sat, 06 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 5 December 2025 are:

Formalization of Erdős problems. ~ Boris Alexeev. #ITP #LeanProver #Math #Autoformalization
A Rocq formalization of monomial and graded orders. ~ Sylvie Boldo, François Clément, Vincent Martin, Micaela Mayero. #ITP #Rocq #Math
Certified G2 manifold construction. ~ Brieuc de La Fournière. #ITP #LeanProver
Automated reasoning for uncertain Markov processes. ~ Muhammad Maaz. #ATP #SMT #Z3
Haskell is a great language for data science. ~ Jonathan Carroll. #Haskell #FunctionalProgramming #DataScience #Rstats
Reseña de «Formalization of Erdős problems». #ITP #LeanProver #Math #Autoformalization
#Exercitium: Normalización de expresiones aritméticas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared December 2, 2025

José A. Alonso — Wed, 03 Dec 2025 04:00:00 GMT

The readings shared in Bluesky on 2 December 2025 are:

The machine translation of Landau’s analysis of foundations in Rocq. ~ Yue Guan, Yaoshun Fu, XiangTao Meng. #ITP #Rocq #Math
Formalization of brownian motion in Lean. ~ Rémy Degenne, David Ledvinka, Etienne Marion, Peter Pfaffelhuber. #ITP #LeanProver
Kimina Lean server: A high-performance Lean server for large-scale verification. ~ Marco Dos Santos et als. #ITP #LeanProver #LLMs
ProofGym: Unifying LLM-based theorem proving across formal systems. ~ Xinrui Li et als. #ITP #LeanProver #IsabelleHOL #CoqProver #LLMs
The 5th Workshop on Mathematical Reasoning and AI at NeurIPS 2025. #AI #Math
HERMES: Towards efficient and verifiable mathematical reasoning in LLMs. ~ Azim Ospanov et als. #ITP #LeanProver #LLMs
How IT managers fail software projects (AI won’t solve IT’s management problems). ~ Robert N. Charette. #Software
A formalization of functor quasi-categories in Lean 4. ~ Jack McKoen. #ITP #LeanProver #Math

Readings shared November 25, 2025

José A. Alonso — Wed, 26 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 25 November 2025 are:

Formalizing computational paths and fundamental groups in Lean. ~ Arthur F. Ramos, Anjolina G. de Oliveira, Ruy J. G. B. de Queiroz, Tiago M. L. de Veras. #ITP #LeanProver
REAL-Prover: Retrieval augmented lean prover for mathematical reasoning. ~ Ziju Shen et als. #ITP #LeanProver #LLMs #Math
MiniF2F in Rocq: Automatic translation between proof assistants (A case study). ~ Jules Viennot, Guillaume Baudart, Emilio Jesùs Gallego Arias, Marc Lelarge. #AI #Math #ITP #Rocq #LeanProver #IsabelleHOL #LLMs
Software never fails. ~ kqr. #Programming
#Exercitium: Expresiones aritmética normalizadas. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared November 23, 2025

José A. Alonso — Mon, 24 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 23 November 2025 are:

DeepMind’s latest: An AI for handling mathematical proofs. ~ Jacek Krywko. #AI #Math #LLMs #ITP #LeanProver #AlphaProof
Verified certification of unsolvability of temporal planning problems. ~ David Wang, Mohammad Abdulaziz. #ITP #IsabelleHOL
Annals of Formalized Mathematics: un nouvel épi-journal dédié à la formalisation. #ITP #Math #LeanProver #IsabelleHOL #Rocq #Agda
Formalization of derived categories in Lean/mathlib. ~ Joël Riou. #ITP #LeanProver
Formalizing zeta and L-functions in Lean. ~ David Loeffler, Michael Stoll. #ITP #LeanProver
A complete formalization of Fermat's Last Theorem for regular primes in Lean. ~ Alex Best, Christopher Birkbeck, Riccardo Brasca, Eric Rodriguez Boidi, Ruben van De Velde, Andrew Yang. #ITP #LeanProver #Math
Formalising the local compactness of the adele ring. ~ Salvatore Mercuri. #ITP #LeanProver #Math
Testing a priority queue with Monolith. ~ François Pottier. #OCaml #FunctionalProgramming
Reseña de «DeepMind’s latest: An AI for handling mathematical proofs». #AI #Math #ITP #LeanProver #AlphaProof

Readings shared November 14, 2025

José A. Alonso — Sat, 15 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 14 November 2025 are:

An introduction to formal real analysis (Lecture 18: Rearrangements). ~ Alex Kontorovich. #ITP #LeanProver #Math
Choice trees: Representing and reasoning about nondeterministic, recursive, and impure programs in Rocq. ~ Nicolas Chappe et als. #ITP #Rocq
A practical formalization of monadic equational reasoning in dependent-type theory. ~ Reynald Affeldt, Jacques Garrigue, Takafumi Saikawa. #ITP #CoqProver
Towards type-directed compiler calculation. ~ Wouter Swierstra. #ITP #Agda
Binary search—think positive. ~ Alexander Dinges, Ralf Hinze. #ITP #Agda
Checking equivalence in a non-strict language. ~ John Charles Kolesar, Ruzica Piskac, William Triest Hallahan.7#supplementary-materials #Haskell #FunctionalProgramming
Automatically testing console I/O behavior of student submissions in Haskell. ~ Oliver Westphal, Janis Voigtländer. #Haskell #FunctionalProgramming
Parallel dual-numbers reverse AD. ~ Tom J. Smeding, Matthijs I.L. Vákár. #Haskell #FunctionalProgramming
Domain-specific tensor languages. ~ Jean-Philippe Bernardy, Patrik Jansson. #Haskell #FunctionalProgramming
Turner, Bird, Eratosthenes: An eternal burning thread. ~ Jeremy Gibbons. #Haskell #FunctionalProgramming
How much is in a square? Calculating functional programs with squares. ~ Jose Nuno Oliveira. #Haskell #FunctionalProgramming
Experiences of early assessment to teach functional programming. ~ Peter Chapman. #Haskell #FunctionalProgramming
You could have invented Fenwick trees. ~ Brent Yorgey. #Haskell #FunctionalProgramming
Patterns and paradoxes: The logic of pattern synonyms. ~ Koz Ross. #Haskell #FunctionalProgramming
The Haskell Unfolder Episode 49: Shrinking. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming
The Haskell Unfolder Episode 50: Singletons. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming
The Haskell Unfolder Episode 51: Typed servers using sop-core. ~ Edsko de Vries, Andres Löh. #Haskell #FunctionalProgramming
Tail recursion modulo context: An equational approach. ~ Daan Leijen, Anton Felix Lorenzen. #OCaml #FunctionalProgramming
How we achieved an IMO medal, one year before any other AI system. ~ Tom Zahavy. #AI #Math #ITP #LeanProver #AlphaProof
Olympiad-level formal mathematical reasoning with reinforcement learning. ~ Thomas Hubert et als. #AI #Math
Reseña de «Olympiad-level formal mathematical reasoning with reinforcement learning». #AI #Math #ITP #LeanProver #AlphaProof
#Exercitium: Cuantificadores sobre listas. #Haskell #ProgramaciónFuncional

Readings shared November 7, 2025

José A. Alonso — Sat, 08 Nov 2025 04:00:00 GMT

The readings shared in Bluesky on 7 November 2025 are:

An introduction to formal real analysis (Lecture 16: Completeness of the real numbers). ~ Alex Kontorovich. #ITP #LeanProver #Math
The path to a superhuman AI mathematician. ~ Lawrence Fisher. #AI #Math #ITP #LeanProver
Math reasoning in times of AI: Lean way of theorem proving. ~ Jan Cepika et als. #ITP #LeanProver #Math #AI #LLM
Babel-formal: Translation of proofs between Lean and Rocq. ~ Théo Stoskopf, Cyril Cohen, Nicolas Tabarea. #ITP #LeanProver #Rocq
ScenicProver: A framework for compositional probabilistic verification of learning-enabled systems. ~ Eric Vin et als. #ITP #LeanProver
Polynomial universes in Homotopy Type Theory. ~ C.B. Aberlé, David I. Spivak. #ITP #Agda #HoTT
Mathematical exploration and discovery at scale. ~ Bogdan Georgiev, Javier Gómez-Serrano, Terence Tao, Adam Zsolt Wagner. #AI #Math #AlphaEvolve #ITP #LeanProver
It’s the specification, stupid! (Seeking a significant shift in the traditional software development and verification paradigm). ~ Manfred Broy, Harald Ruess, Natarajan Shankar. #FormalVerification
¿Cuál es el siguiente término? ~ Miguel Ángel Morales. #Matemáticas
#Exercitium: Mayores elementos de una matriz. #Haskell #ProgramaciónFuncional #Matemáticas

Readings shared October 29, 2025

José A. Alonso — Thu, 30 Oct 2025 04:00:00 GMT

The readings shared in Bluesky on 29 October 2025 are:

Formalizing Schwartz functions and tempered distributions. ~ Moritz Doll. #ITP #LeanProver #Math
1000+ theorems (The spiritual successor of Freek’s list of 100 theorems. Now with more than 1000 theorems!). ~ Katja Berčič et als. #Math #ITP #IsabelleHOL #HOL_Light #Rocq #LeanProver #Metamath #Mizar
Combining textual and structural information for premise selection in Lean. ~ Job Petrovčič, David Eliecer Narvaez Denis, Ljupčo Todorovski. #AI #Math #ITP #LeanProver
Martin Davis: An overview of his work in logic, computer science, and philosophy. ~ Liesbeth De Mol, Yuri V. Matiyasevich, Eugenio G. Omodeo, Alberto Policriti, Wilfried Sieg, Elaine J. Weyuker. #Logic #Math #CompSci
Freshman’s dream. ~ John D. Cook. #Math #Python #Programming
The reasons AI may act secretive (Trained to reflect human behavior, AI models may share half-truths or purposely omit information). ~ Jennifer Goforth Gregory. #AI
In search of better search (Does AI improve, or misdirect, search engines and their results?). ~ Samuel Greengard. #GenAI
#Exercitium: Suma de todos los anteriores. #Haskell #ProgramaciónFuncional #Matemáticas