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On the Formalization of Network Topology Matrices in HOL Network topology matrices are algebraic representations of graphs that are widely used in modeling and analysis of various applications including electrical circuits, communication networks and transp...

On the formalization of network topology matrices in HOL. ~ Kubra Aksoy, Adnan Rashid, Osman Hasan, Sofiene Tahar. arxiv.org/abs/2603.256... #ISabelleHOL #ITP #Math

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Reseña de «50 years of proof assistants» En el artículo «50 years of proof assistants», Lawrence C. Paulson refuta el estancamiento científico mediante la evolución de la verificación formal. Desde 1975, con Edinburgh LCF y el lenguaje ML, s

Reseña de «50 years of proof assistants». jaalonso.github.io/vestigium/po... #ITP #IsabelleHOL #LeanProver #CoqProver

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Readings shared March 24, 2026 The readings shared in Bluesky on 24 March 2026 are: Synthetic differential geometry in Lean. ~ Riccardo Brasca, Gabriella Clemente. #LeanProver #ITP #Math The spectral comb and the Riemann hypothesi

Readings shared March 24, 2026. jaalonso.github.io/vestigium/po... #AI4Math #Autoformalization #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LeanProver #Math

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A formal embedding for assessing the complexity of model consistency. ~ Romain Pascual et als. assets-eu.researchsquare.com/files/rs-897... #IsabelleHOL #ITP

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Sorted Rewriting, Conditional Rewriting, and Logically Constrained Rewriting Sorted Rewriting, Conditional Rewriting, and Logically Constrained Rewriting in the Archive of Formal Proofs

Sorted rewriting, conditional rewriting, and logically constrained rewriting (in Isabelle/HOL). ~ Akihisa Yamada. www.isa-afp.org/entries/Sort... #IsabelleHOL #ITP

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Lebesgue-Stieltjes Integral Lebesgue-Stieltjes Integral in the Archive of Formal Proofs

Lebesgue-Stieltjes integral (in Isabelle/HOL). ~ Yosuke Ito. www.isa-afp.org/entries/Lebe... #IsabelleHOL #ITP #Math

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Readings shared March 19, 2026 The readings shared in Bluesky on 19 March 2026 are: Aristotle: The World's most advanced formal reasoning agent. #LeanProver #ITP #Math Formalization of QFT (quantum field theory). ~ Michael R. Doug

Readings shared March 19, 2026. jaalonso.github.io/vestigium/po... #ATP #ITP #IsabelleHOL #LLMs #LeanProver #Logic #Math #Physics #Prover9

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Formal Verification of Axiom-Free Gödelian Ontological Argument and Trinity Necessity Proof in Isabelle HOL Formal Verification of Axiom-Free Gödelian Ontological Argument and Trinity Necessity Proof in Isabelle HOL in the Archive of Formal Proofs

Formal verification of axiom-free gödelian ontological argument and trinity necessity proof in Isabelle HOL. ~ Yong-Dock Kim. www.isa-afp.org/entries/Axio... #IsabelleHOL #ITP

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Readings shared March 9, 2026 The readings shared in Bluesky on 9 March 2026 are: Fantastic simprocs and how to write them. ~ Yaël Dillies, Paul Lezeau. #LeanProver #ITP Formalization in Lean of faithfully flat descent of project

Readings shared March 09, 2026. jaalonso.github.io/vestigium/po... #AI #AI4Math #CategoryTheory #CoqProver #Emacs #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LambdaCalculus #LeanProver #Lisp #Math #Physics #RocqProver

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Apply2Isar: Automatically Converting Isabelle/HOL Apply-Style Proofs to Structured Isar In Isabelle/HOL, declarative proofs written in the Isar language are widely appreciated for their readability and robustness. However, some users may prefer writing procedural "apply-style" proof scri...

Apply2Isar: Automatically converting Isabelle/HOL apply-style proofs to structured Isar. ~ Sage Binder, Hanna Lachnitt, Katherine Kosaian. arxiv.org/abs/2603.077... #IsabelleHOL #ITP

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Readings shared February 24, 2026 The readings shared in Bluesky on 24 February 2026 are: Formalizing Gröbner basis theory in Lean. ~ Junyu Guo, Hao Shen, Junqi Liu, Lihong Zhi. #LeanProver #ITP #Math Integral curves and flows on Ban

Readings shared February 24, 2026. jaalonso.github.io/vestigium/po... #AI4Math #ATP #Agda #CoqProver #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LLMs #LeanProver #Math #Reasoning #Vampire

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A formal correctness proof of Edmonds’ blossom shrinking algorithm. ~ Mohammad Abdulaziz, Kurt Mehlhorn. link.springer.com/content/pdf/... #IsabelleHOL #ITP

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Readings shared February 19, 2026 The readings shared in Bluesky on 19 February 2026 are: Hennessy-Milner logic in CSLib, the Lean computer science library. ~ Fabrizio Montesi, Marco Peressotti, Alexandre Rademaker. #LeanProver #ITP

Readings shared February 19, 2026. jaalonso.github.io/vestigium/po... #AI4Math #ATP #CSLib #CompSci #Dedukti #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LLMs #LeanProver #Math #Mizar #RocqProver #Vampire

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Towards Term-based Verification of Diagrammatic Equivalence A string diagram is a two-dimensional graphical representation that can be described as a one-dimensional term generated from a set of primitives using sequential and parallel compositions. Since diff...

Towards term-based verification of diagrammatic equivalence. ~ Julie Cailler, Noé Delorme, Simon Perdrix, Sophie Tourret. arxiv.org/abs/2602.110... #IsabelleHOL #ITP

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Towards Real-World Industrial-Scale Verification: LLM-Driven Theorem Proving on seL4 Formal methods (FM) are reliable but costly to apply, often requiring years of expert effort in industrial-scale projects such as seL4, especially for theorem proving. Recent advances in large languag...

Towards Real-World Industrial-Scale Verification: LLM-Driven Theorem Proving on seL4. ~ Jianyu Zhang et als. arxiv.org/abs/2602.083... #IsabelleHOL #ITP #LLMs

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'Sets' Revisited: Working with a Large Category in Isabelle/HOL 'Sets' Revisited: Working with a Large Category in Isabelle/HOL in the Archive of Formal Proofs

'Sets' revisited: Working with a large category in Isabelle/HOL. ~ Eugene W. Stark. www.isa-afp.org/entries/Sets... #ITP #IsabelleHOL

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Readings shared January 29, 2026 The readings shared in Bluesky on 29 January 2026 are: Formalising the Bruhat-Tits tree. ~ Judith Ludwig, Christian Merten. #ITP #LeanProver Formalizing Fermat, Lecture 1. ~ Kevin Buzzard. #ITP #Lean

Readings shared January 29, 2026. jaalonso.github.io/vestigium/po... #AI #AI4Math #FunctionalProgramming #Hakell #ITP #IsabelleHOL #LLMs #LeanProver #Math

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Swap Distance Swap Distance in the Archive of Formal Proofs

Swap distance (in Isabelle/HOL). ~ Manuel Eberl. www.isa-afp.org/entries/Swap... #ITP #IsabelleHOL

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Readings shared January 24, 2026 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.

Readings shared January 24, 2026. jaalonso.github.io/vestigium/po... #AI #AI4Math #ATP #CoqProver #HOL_Light #ITP #IsabelleHOL #LeanProver #Logic #Math #Prover9 #RocqProver

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AI for Mathematics: Progress, Challenges, and Prospects AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-cen...

AI for mathematics: Progress, challenges, and prospects. ~ Haocheng Ju, Bin Dong. arxiv.org/abs/2601.132... #AI #Math #AI4Math #ITP #IsabelleHOL #CoqProver #LeanProver

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Abel's Limit Theorem Abel's Limit Theorem in the Archive of Formal Proofs

Abel's limit theorem (in Isabelle/HOL). ~ Kangfeng Ye. www.isa-afp.org/entries/Abel... #ITP #IsabelleHOL #Math

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Readings shared January 19, 2026 The readings shared in Bluesky on 19 January 2026 are: Broken proofs and broken provers. ~ Lawrence Paulson. #ITP #IsabelleHOL #RocqProver #LeanProver A formalization of Borel determinacy in Lean. ~

Readings shared January 19, 2026. jaalonso.github.io/vestigium/po... #AI #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LLMs #LeanProver #Logic #LogicProgramming #Math #Prolog #RocqProver

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Broken proofs and broken provers. ~ Lawrence Paulson. lawrencecpaulson.github.io/2026/01/15/B... #ITP #IsabelleHOL #RocqProver #LeanProver

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Readings shared January 14, 2026 The readings shared in Bluesky on 14 January 2026 are: A lambda-superposition tactic for Isabelle/HOL. ~ Massin Guerdi. #ITP #IsabelleHOL Adding sorts to an Isabelle formalization of superposition. ~

Readings shared January 14, 2026. jaalonso.github.io/vestigium/po... #AI #Autoformalization #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LLMs #LeanProver #Math #Mizar #RocqProver

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Adding sorts to an Isabelle formalization of superposition. ~ Balazs Toth, Martin Desharnais-Schäfer, Jasmin Blanchette. dl.acm.org/doi/pdf/10.1... #ITP #IsabelleHOL

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A lambda-superposition tactic for Isabelle/HOL. ~ Massin Guerdi. dl.acm.org/doi/pdf/10.1... #ITP #IsabelleHOL

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Readings shared December 29, 2025 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 coul

Readings shared December 29, 2025. jaalonso.github.io/vestigium/po... #AI #Agda #CoqProver #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LeanProver #Logic #Math #OCaml #Rocq #SMT

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Assignments and strategies in democratic forking analysed with Isabelle/HOL. ~ Jan-Georg Smaus. hal.science/hal-05428166... #ITP #IsabelleHOL

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Set Reconciliation Set Reconciliation in the Archive of Formal Proofs

Set reconciliation (in Isabelle/HOL). ~ Paul Hofmeier, Emin Karayel. www.isa-afp.org/entries/Set_... #ITP #IsabelleHOL

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Dynamic Pushdown Networks Dynamic Pushdown Networks in the Archive of Formal Proofs

Dynamic pushdown networks (in Isabelle/HOL). ~ Peter Lammich. www.isa-afp.org/entries/Dyna... #ITP #IsabelleHOL

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