Vestigium (Publicaciones sobre HOL_Light)

Readings shared July 5, 2026

José A. Alonso — Mon, 06 Jul 2026 04:00:00 GMT

The readings shared in Bluesky on 5 July 2026 are:

An explicit eventual p⁴-divisibility theorem for an Apery-type numerator family. ~ Zhipeng Chen, Qisheng Wang, Yan Feng. #LeanProver #ITP #Math
Axiom-audited trustworthy formalization of game-theoretic commitment in Lean. ~ Jan Ondras. #LeanProver #ITP
Classifying the groups of order p³ in Lean. ~ Li Xiang. #LeanProver #ITP #Math
Formalization of formal group laws. ~ Wenrong Zou. #LeanProver #ITP #Math
Formalized q-series: The Rogers-Ramanujan identities and beyond. ~ Kenny Lau, Seewoo Lee, Ken Ono. #LeanProver #ITP #Math
Formalizing Scarf, Brouwer, and Nash in Lean. ~ Yuwei Lyu, Kai Li. #LeanProver #ITP #Math
From agents to axioms: Verifier-gated Lean formalization for statistical learning theory. ~ Robert Sneiderman. #LeanProver #ITP
Mechanizing proofs from a course on programming language semantics in Lean. ~ Hampus Toft. #LeanProver #ITP
Reformalization of the Jordan curve theorem. ~ Simon Guilloud, Sankalp Gambhir, Samuel Chassot. #Mizar #LeanProver #HOL_Light #Agda #ITP
The fundamental theorem of Asset Pricing, formalized in Lean 4. ~ Raphael Coelho. #LeanProver #ITP
Formalization of 3-independence of simple tabulation hashing (in Isabelle/HOL). ~ Wei De Leong, Yong Kiam Tan, Seng Joe Watt. #IsabelleHOL #ITP
Formalization of lower-bound certificates for optimal classical planning. ~ Dmitriy Traytel. #IsabelleHOL #ITP
Greedy algorithms for cardinality-constrained submodular maximization. ~ Feier Lyu. #IsabelleHOL #ITP
On the formalisation of Haag-Kastler nets in higher-order logic. ~ Richard H. J. Schmoetten. #IsabelleHOL #ITP
Anti-unification completeness analysis in PVS. ~ Mauricio Ayala-Rincón et als. #PVS #ITP
Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory. ~ Vojtěch Štěpančík. #Agda #ITP #Math
The educational proof assistant Waterproof in an introductory proof course: Proof construction and learning processes. ~ Pim Otte, Rogier Bos, Johan Commelin, Jim Portegies. #Waterproof #ITP #Teaching #Math
Binomial coefficients with divisors avoiding an interval. ~ Hung M. Bui, Slava Naprienko, Kyle Pratt, Alexandru Zaharescu. #AI4Math
Lean2Isabelle: Factorized cross-assistant proof translation. ~ Guanyu Liu, Jingkun Ma, Derek F. Wong. #AI4Math #LeanProver #IsabelleHOL #ITP
Local reasoning models for mathematics (From installation, through concepts, to workflows with Ollama). ~ Paweł Przybyłowicz. #AI4Math
The Ramanujan challenge for AI. ~ Gil Kalai. #AI4Math
The jacobian challenge retro. ~ Rado Kirov. #AI4Math #LeanProver #ITP
Haskell koan: Type-checked non-empty strings. ~ Mike Ledger. #Haskell #FunctionalProgramming
#RetoLean4: Construcción en Lean 4 de las soluciones del reto 7 (La composición de inyectivas es inyectiva). #LeanProver #ITP #Math

Readings shared January 24, 2026

José A. Alonso — Sun, 25 Jan 2026 04:00:00 GMT

The readings shared in Bluesky on 24 January 2026 are:

Abel's limit theorem (in Isabelle/HOL). ~ Kangfeng Ye. #ITP #IsabelleHOL #Math
A formalization of the downward Löwenheim-Skolem theorem in Coq. ~ Timothée Huneau. #ITP #CoqProver #Logic #Math
Formally verified number-theoretic transform. ~ Alix Trieu. #ITP #RocqProver
The HOL-Light library of multivariate real analysis in Rocq. ~ Claudio Sacerdoti Coen, Abdelghani Alidra, Frédéric Blanqui. #ITP #RocqProver #HOL_Light #Math
Blurred drinker paradoxes and blurred choice axioms: Constructive reverse mathematics of the downward Löwenheim-Skolem theorem. ~ Dominik Kirst, Haoyi Zeng. #ITP #CoqProver #Logic #Math
Elementary proofs of ring commutativity theorems. ~ Michael Kinyon, Desmond MacHale. #ATP #Prover9 #Math
Verified polynomial-time reductions in Lean 4: formalizing the complexity of decision-relevant information. ~ Tristan Simas. #ITP #LeanProver
Sequencelib: A computational platform for formalizing the OEIS in Lean. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math
Sequencelib: A platform for formalizing OEIS sequences in Lean 4. ~ Walter Moreira, Joe Stubbs. #ITP #LeanProver #Math
Numina-Lean-agent: An open and general agentic reasoning system for formal mathematics. ~ Junqi Liu et als. #ITP #LeanProver #Math
ChatGPT and AI enhancing undergrad math. ~ Matthias Kawski. #AI #Math
AI for mathematics: Progress, challenges, and prospects. ~ Haocheng Ju, Bin Dong. #AI #Math #AI4Math #ITP #IsabelleHOL #CoqProver #LeanProver
Sobre la resolución de problemas de Erdős usando inteligencia artificial generativa. ~ Francisco R. Villatoro. #AI #Math #ITP #LeanProver

Readings shared June 13, 2025

José A. Alonso — Sat, 14 Jun 2025 09:15:00 GMT

The readings shared in Bluesky on 13 June 2025 are

Formalizing zeta and L-functions in Lean. ~ David Loeffler, Michael Stoll. #ITP #LeanProver #Math
Formal verification of relational algebra transformations in Fiat2 using Coq. ~ Christian Teshome. #ITP #CoqProver #Rocq
Growing a modular framework for modal systems - HOLMS: a HOL Light library. ~ Antonella Bilotta. #ITP #HOL_Light #Logic #Math
Trinity: an autoformalization system for verified superintelligence. #Autoformalization #AIforMath #ITP #LeanProver
The abc conjecture almost always — autoformalized. ~ Jesse Michael Han et als. #Autoformalization #AIforMath #ITP #LeanProver
MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems? ~ Zhitao He et als. #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath
Mathesis: Towards formal theorem proving from natural languages. ~ Yu Xuejun et als. #AI #LLMs #Math #ITP #LeanProver #AIforMath
StepProof: Step-by-step verification of natural language mathematical proofs. ~ Xiaolin Hu, Qinghua Zhou, Bogdan Grechuk, Ivan Y. Tyukin. #LLMs #ITP #IsabelleHOL #Math #AIforMath
Reseña de «MATP-BENCH: Can MLLM be a good automated theorem prover for multimodal problems?». #AI #MLLMs #Math #ITP #IsabelleHOL #LeanProver #CoqProver #AIforMath
Reseña de «Mathesis: Towards formal theorem proving from natural languages». #AI #LLMs #Math #ITP #LeanProver #AIforMath

Readings shared March 23, 2025

José A. Alonso — Sun, 23 Mar 2025 04:00:00 GMT

The readings shared in Bluesky on 23 March 2025 are

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
Formalization of the axiom of choice and its equivalent theorems. ~ Tianyu Sun, Wensheng Yu (2019). #ITP #Coq #SetTheory
A formal proof in Coq of Cantor-Bernstein-Schroeder’s theorem without axiom of choice (2019). #ITP #Coq #SetTheory
A formal system of axiomatic set theory in Coq. ~ Tianyu Sun, Wensheng Yu (2020). #ITP #Coq #SetTheory
A formalization of properties of continuous functions on closed intervals. Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math
Formalization of the equivalence among completeness theorems of real number in Coq. ~ Yaoshun Fu, Wensheng Yu (2020). #ITP #Coq #Math
Formalizing calculus without limit theory in Coq. ~ Yaoshun Fu, Wensheng Yu (2021). #ITP #Coq #Math
A formalization of topological spaces in Coq. ~ Sheng Yan, Yaoshun Fu, Dakai Guo, and Wensheng Yu (2022). #ITP #Coq #Math #SetTheory
Formalization of the filter extension principle (FEP) in Coq. ~ Guowei Dou, Wensheng Yu (2024). #ITP #Coq #Math #SetTheory
Implementation of Bourbaki's elements of mathematics in Coq: Part one, theory of sets. ~ José Grimm (2009). #ITP #Coq #SetTheory
Implementation of Bourbaki’s elements of mathematics in Coq: Part two, ordered sets, cardinals, integers. ~ José Grimm (2018). #ITP #Coq #Math
Concurrent games in Agda. ~ Amy Yin. #ITP #Agda
#Exercitium: Valores de polinomios representados con vectores. #Haskell #ProgramaciónFuncional #Matemáticas
Demostraciones con Lean4 y con Isabelle/HOL de "s \ (t ∪ u) ⊆ (s \ t) \ u". #LeanProver #IsabelleHOL #Math #Calculemus

Readings shared January 26, 2025

José A. Alonso — Sun, 26 Jan 2025 04:00:00 GMT

The readings shared in Bluesky on 26 January 2025 are

Readings shared January 25, 2025. #ITP #Agda #Coq #Rocq #IsabelleHOL #Math #FunctionalProgramming #Haskell #JuliaLang
Certified knowledge compilation with application to formally verified model counting. ~ Randal E. Bryant, Wojciech Nawrocki, Jeremy Avigad, Marijn J. H. Heule. #ITP #LeanProver
Formalization of partial differential equations using HOL theorem proving. ~ Elif Deniz. #ITP #HOL_Light #Math
Math Encounters: "You want proof? I'll give you proof! (Mathematical arguments from Euclid to Lean)". ~ Jeremy Avigad. #ITP #LeanProver #Math

Readings shared September 28, 2024

José A. Alonso — Sat, 28 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on 28 September 28 2024 are

Readings shared September 27, 2024. #ATP #ITP #LeanProver #Lean4 #IsabelleHOL #Coq #Math #CategoryTheory #SetTheory
Hyperstability in the Erdős-Sós conjecture. ~ Alexey Pokrovskiy. #ITP #LeanProver #Math
Formalized soundness and completeness of epistemic logic. ~ Asta Halkjær From, Alexander Birch Jensen & Jørgen Villadsen. #ITP #IsabelleHOL #Logic #Math
Löb’s theorem and provability predicates in Coq. ~ Janis Bailitis. #ITP #Coq #Logic #Math
Formalizing potential flows using the HOL Light theorem prover. ~ Elif Deniz & Sofiène Tahar. #ITP #HOL_Light
Formal verification of coupled transmission lines using theorem proving. ~ Elif Deniz, Adnan Rashid & Sofiène Tahar. #ITP #HOL_Light

Readings shared September 14, 2024

José A. Alonso — Sat, 14 Sep 2024 04:00:00 GMT

The readings shared in Mastodon on September 14, 2024 are

Readings shared September 13, 2024. #Haskell #FunctionalProgramming #LiquidHaskell #Emacs #OrgMode
AI for Mathematics: Mathematical formalized problem solving and theorem proving in different fields in Lean 4. ~ Xichen Tang. #ITP #LeanProver #Lean4 #Math
Better-performing “25519” elliptic-curve cryptography (Automated reasoning and optimizations specific to CPU microarchitectures improve both performance and assurance of correct implementation). ~ Torben Hansen, John Harrison. #ITP #HOL_Light
A simple proof that π is irrational (in Isabelle/HOL). ~ Manuel Eberl. #ITP #IsabelleHOL #Math
Decidable equality for indexed data types. ~ Brent Yorgey. #ITP #Agda #FunctionalProgramming
Why Haskell? ~ Gideon Farrell. #Haskell #FunctionalProgramming
Type-theoretic considerations in functional language software development. ~ David Michael Roberts. #Haskell #FunctionalProgramming #ITP #IsabelleHOL
Simulation of lambda terms in lambda calculus. ~ Helmut Brandl. #LambdaCalculus
Estrenando el nuevo modelo de OpenAI: o1-preview. Resolviendo con ChatGPT un problema de Matemáticas II de la Prueba de Acceso a la Universidad EBAU. ~ Luis M. Iglesias. #LLMs #Matemáticas

Lecturas compartidas el 6 de junio de 2024

José A. Alonso — Thu, 06 Jun 2024 04:00:00 GMT

Las lecturas compartidas en Mastodon el 6 de junio de 2024 son

Lecturas compartidas el 5 de junio de 2024. #ITP #Lean4 #IsabelleHOL #Math
#Calculemus: Demostraciones con Lean4 e Isabelle/HOL de "Si el límite de la sucesión uₙ es a, entonces el límite de -uₙ es -a". #ITP #Lean4 #IsabelleHOL #Math
Finding facts in large formalization libraries: Two Isabelle/AFP attempts. ~ Fabian Huch, Yiannos Stathopoulos. #ITP #IsabelleHOL
Bundling in dependent type theory. ~ Anne Baanen. #ITP #Lean4
The HOL Light library of formalized mathematics. ~ Marco Maggesi. #ITP #HOL_Light #Math

Lecturas compartidas el 30 de mayo de 2024

José A. Alonso — Fri, 31 May 2024 04:00:00 GMT

Las lecturas compartidas en Mastodon el 30 de mayo de 2024 son

Lecturas compartidas el 29 de mayo de 2024. #ITP #Lean4 #IsabelleHOL #Math #FunctionalProgramming #Haskell #Python
#Calculemus: Demostraciones con Lean4 e Isabelle/HOL de "Si x, y ∈ ℝ tales que (∀ z)[y < z → x ≤ z], entonces x ≤ y". #ITP #Lean4 #IsabelleHOL #Math
Formalising the local compactness of the adele ring. ~ Salvatore Mercuri. #ITP #Lean4 #Math
Formalization of asymptotic convergence for stationary iterative methods. ~ Mohit Tekriwal, Joshua Miller, Jean-Baptiste Jeannin. #ITP #Coq #Math
Certification of tail recursive bubble–sort in Theorema and Coq. ~ Isabela Dramnesc, Tudor Jebelean, and Sorin Stratulat. #ITP #Coq #Theorema
Translating HOL-Light proofs to Coq. ~ Frédéric Blanqui. #ITP #HOL_Light #Coq
Prover9 unleashed: Automated configuration for enhanced proof discovery. ~ Kristina Aleksandrova, Jan Jakubuv and Cezary Kaliszyk. #ATP #Prover9
Automated theorem proving for Prolog verification. ~ Fred Mesnard, Thierry Marianne and Etienne Payet. #ATP #Vampire #TPTP #Prolog
Free foil: Generating efficient and scope-safe abstract syntax. ~ Nikolai Kudasov, Renata Shakirova, Egor Shalagin, Karina Tyulebaeva. #FunctionalProgramming #Haskell
Automated theorem provers help improve large language model reasoning. ~ Lachlan McGinness and Peter Baumgartner. #LLMS #ATP