#ProofAssistant
What Lean-Verified Actually Settles in OpenAI’s Math Release

In OpenAI’s October 2026 mathematics release, many of the 722 manuscripts come with Lean formalizations.

#lean #formalverification #mathematics #proofassistant
October 9, 2026 at 2:01 AM
Terry Tao has mad some progress on developing a proof assistant for asymptotic analysis
#mathematics #math #AsymptoticAnalysis #ProofAssistant.
Source: buff.ly/pEuagHN
May 13, 2025 at 5:02 PM
if you think writing #maths proofs in code is only for PhDs ...

.. this cause was designed just for you!

* small bite-size examples
* concepts over code
* easy exercises to build confidence

www.amazon.com/dp/B0DWHS1RDJ

#mathematics #lean #lean4 #proofassistant
March 3, 2025 at 1:12 PM
The Math Is Haunted — overreacted
A taste of Lean.
overreacted.io
July 31, 2025 at 11:04 AM
Universal pairs for diophantine equations (in Isabelle/HOL). ~ Marco David et als. www.isa-afp.org/entries/Diop... #ITP #ProofAssistant #IsabelleHOL #Math
Universal Pairs for Diophantine Equations
Universal Pairs for Diophantine Equations in the Archive of Formal Proofs
www.isa-afp.org
July 30, 2025 at 6:54 AM
Harmonic's IMO 2025 results (Harmonic's model Aristotle achieved gold medal performance, solving 5 problems). github.com/harmonic-ai/... #FormalVerification #ProofAssistant #LeanProver #LLMs #Math #IMO
GitHub - harmonic-ai/IMO2025
Contribute to harmonic-ai/IMO2025 development by creating an account on GitHub.
github.com
July 29, 2025 at 9:10 AM
July 28, 2025 at 8:04 AM
July 28, 2025 at 8:02 AM
Encoding finite state automata in Agda using coinduction (Evaluating the support for coinduction in Agda). ~ Noky Soekarman. repository.tudelft.nl/file/File_56... #FormalVerification #ProofAssistant #Agda
July 27, 2025 at 9:44 AM
Modelling cyclic structures in Agda (Evaluating Agda’s coinduction through modelling graphs). ~ Faizel Mangroe. repository.tudelft.nl/file/File_64... #ProofAssistant #Agda
July 27, 2025 at 9:29 AM
2. Subset: math concepts in proof assistants

See how subset can be modeled completely in proof assistant Lean and Turn-lang

#TurnLang #FormalMethods #FormalMathematics #ProofAssistant #ProofAssistants #Lean4 #Lean #Mathlib #AbstractAlgebra #InteractiveTheoremProving #TypeTheory"
June 30, 2026 at 3:41 PM
1. Set: math concepts in proof assistants

See how Set can be modeled completely in proof assistant Lean and Turn-lang

#TurnLang #FormalMethods #FormalMathematics #ProofAssistant #ProofAssistants #Lean4 #Lean #Mathlib #AbstractAlgebra #InteractiveTheoremProving #TypeTheory"
June 30, 2026 at 1:51 PM
Tactic scripts are powerful, but they get hard to navigate once proofs grow. Turn-Lang proof-slide mode connects the current tactic, proof branch, and goal state so the proof has a visual path. Familiar tactics, better proof context.

#ProofAssistant #FormalMethods #ProgrammingLanguages
June 12, 2026 at 8:32 AM
I worked through one possible solution to proving Pelletier's problem 24 in the #Mizar #proofassistant, but there are others.

thmprover.wordpress.com/2025/10/19/p...
Pelletier’s Problem 24 in Mizar
There are probably several different ways to prove Pelletier’s Problem 24, so we will just investigate one way. Informal Roadmap for the Proof The first thing to do, whenever formalizing anyt…
thmprover.wordpress.com
October 19, 2025 at 4:59 PM
Despite the tornados and thunder storms, I wrote a brief "worked example" of how to prove one of Pelletier's problems in the #Mizar #proofassistant.

This is part of the "Mizar 101" series of posts.

thmprover.wordpress.com/2025/10/14/s...
Schemas and Proofs: A worked example
Today, we will work through proving one of Pelletier’s Seventy Five Problems for Testing Automated Theorem Provers. The focus will be on the proof of the claim. Then we will give several &#82…
thmprover.wordpress.com
October 14, 2025 at 4:48 PM
I've started a "Mizar 101" series of posts oriented towards people who have just installed the #Mizar #proofassistant, but don't really know what to do from there.

The first thing to check is that you installed Mizar correctly, that it "works".

thmprover.wordpress.com/2025/10/11/h...
How to check you installed Mizar correctly
We will be starting a “Mizar 101” series of posts, which will focus on “first steps in Mizar”. This post will discuss, among other things, “How to check you installed …
thmprover.wordpress.com
October 11, 2025 at 3:33 PM
I wrote a little about "literate programming" used to implement proof assistants, mostly about the "literate programming".

#LiterateProgramming #ProofAssistant #Logic #Mathematics

thmprover.wordpress.com/2025/09/16/l...
Literate Implementations of Proof Assistants
I have been experimenting with literate programming applied to the implementation of a toy HOL, and transcribing the Mizar proof assistant into Knuth’s WEB. This post will be more “prog…
thmprover.wordpress.com
September 16, 2025 at 3:45 PM
Want to formalize something in the #Mizar #proofassistant?

Formalize the #Octonions!

I have sketched out what this would look like, and relate it to pre-existing formalizations in Mizar.

thmprover.wordpress.com/2024/12/19/f...
Formalize the Octonions
Project Summary: Formalize the Octonions in the same spirit as the Reals, Complex, and Quaternions. Earlier work in Mizar. The Cayley-Dickson construction has been formalized in Mizar in the CAYLDI…
thmprover.wordpress.com
December 19, 2024 at 3:55 PM
Lean 4.28.0 is out! New symbolic simulation framework for 𝚐𝚛𝚒𝚗𝚍, user-defined 𝚐𝚛𝚒𝚗𝚍 attributes for custom tactics, a new 𝚜𝚘𝚕𝚟𝚎𝚛𝙼𝚘𝚍𝚎 in 𝚋𝚟_𝚍𝚎𝚌𝚒𝚍𝚎 for proof vs. counterexample search, and lean4checker available out of the box.

lean-lang.org/doc/referenc...

#LeanLang #LeanProver #ProofAssistant
February 19, 2026 at 10:44 PM