#lean4 — Public Fediverse posts

От augmentation к symbiosis: новая парадигма программирования

Использование средств генеративного искусственного интеллекта (ИИ) в разработке программного обеспечения радикально ускоряет создание кода...

#искусственныйинтеллект #программирование #код #разработка #SemanticCore #KnowledgeGraphs #нейросимволическиеагенты #DOLPHIN #SYNVER #Imandra #Lean4 #symbiosis #NeuroSymbolicAI #LOGOSκ #NIGC #FAIRCARE #AUniversum #SemanticDB #Python #Λоператоры #Logos #код

Источник: https://dstglobal.ru/club/1179-ot-augmentation-k-symbiosis-novaja-paradigma-programmirovanija

От augmentation к symbiosis: новая парадигма программирования

Использование средств генеративного искусственного интеллекта (ИИ) в разработке программного обеспечения радикально ускоряет создание кода...

#искусственныйинтеллект #программирование #код #разработка #SemanticCore #KnowledgeGraphs #нейросимволическиеагенты #DOLPHIN #SYNVER #Imandra #Lean4 #symbiosis #NeuroSymbolicAI #LOGOSκ #NIGC #FAIRCARE #AUniversum #SemanticDB #Python #Λоператоры #Logos #код

Источник: https://dstglobal.ru/club/1179-ot-augmentation-k-symbiosis-novaja-paradigma-programmirovanija

От augmentation к symbiosis: новая парадигма программирования

Использование средств генеративного искусственного интеллекта (ИИ) в разработке программного обеспечения радикально ускоряет создание кода...

#искусственныйинтеллект #программирование #код #разработка #SemanticCore #KnowledgeGraphs #нейросимволическиеагенты #DOLPHIN #SYNVER #Imandra #Lean4 #symbiosis #NeuroSymbolicAI #LOGOSκ #NIGC #FAIRCARE #AUniversum #SemanticDB #Python #Λоператоры #Logos #код

Источник: https://dstglobal.ru/club/1179-ot-augmentation-k-symbiosis-novaja-paradigma-programmirovanija

От augmentation к symbiosis: новая парадигма программирования

Использование средств генеративного искусственного интеллекта (ИИ) в разработке программного обеспечения радикально ускоряет создание кода...

#искусственныйинтеллект #программирование #код #разработка #SemanticCore #KnowledgeGraphs #нейросимволическиеагенты #DOLPHIN #SYNVER #Imandra #Lean4 #symbiosis #NeuroSymbolicAI #LOGOSκ #NIGC #FAIRCARE #AUniversum #SemanticDB #Python #Λоператоры #Logos #код

Источник: https://dstglobal.ru/club/1179-ot-augmentation-k-symbiosis-novaja-paradigma-programmirovanija

От augmentation к symbiosis: новая парадигма программирования

Использование средств генеративного искусственного интеллекта (ИИ) в разработке программного обеспечения радикально ускоряет создание кода...

#искусственныйинтеллект #программирование #код #разработка #SemanticCore #KnowledgeGraphs #нейросимволическиеагенты #DOLPHIN #SYNVER #Imandra #Lean4 #symbiosis #NeuroSymbolicAI #LOGOSκ #NIGC #FAIRCARE #AUniversum #SemanticDB #Python #Λоператоры #Logos #код

Источник: https://dstglobal.ru/club/1179-ot-augmentation-k-symbiosis-novaja-paradigma-programmirovanija

Say, I have an inductively defined type in #lean4 like

inductive foo
| quux
| bar : foo -> foo -> foo

and I do a proof or simply something like

#check foo.bar .quux .quux

Why do I get an output like

foo.quux.bar foo.quux

instead of something like

foo.bar foo.quux foo.quux

which to me would be more readable? I'm pretty sure that I can get what I want and that this is "stupid" question. But how do I get it?

So, just double-checking how #Lean4 and #Mathlib work:

* Lean takes 3GiB of RAM and a minute to open Mathlib
* Lean requires about 10min to build itself in CI, only verifying required theorems
* Verifying all of Mathlib is measured in hours
* Lean's kernel is untrustworthy due to junk theorems

And yet I'm a clown for using #Metamath? At some point we ought to reconsider the type-theory fetish.

So, just double-checking how #Lean4 and #Mathlib work:

* Lean takes 3GiB of RAM and a minute to open Mathlib
* Lean requires about 10min to build itself in CI, only verifying required theorems
* Verifying all of Mathlib is measured in hours
* Lean's kernel is untrustworthy due to junk theorems

And yet I'm a clown for using #Metamath? At some point we ought to reconsider the type-theory fetish.

So, just double-checking how #Lean4 and #Mathlib work:

* Lean takes 3GiB of RAM and a minute to open Mathlib
* Lean requires about 10min to build itself in CI, only verifying required theorems
* Verifying all of Mathlib is measured in hours
* Lean's kernel is untrustworthy due to junk theorems

And yet I'm a clown for using #Metamath? At some point we ought to reconsider the type-theory fetish.

So, just double-checking how #Lean4 and #Mathlib work:

* Lean takes 3GiB of RAM and a minute to open Mathlib
* Lean requires about 10min to build itself in CI, only verifying required theorems
* Verifying all of Mathlib is measured in hours
* Lean's kernel is untrustworthy due to junk theorems

And yet I'm a clown for using #Metamath? At some point we ought to reconsider the type-theory fetish.

🚀 Oh, look! Another attempt to make Lean 4 relevant by shoehorning it into socket state machines. 😂 Apparently, the best runtime check is one that doesn't bother existing at all—because why solve real problems when you can just redefine them as types? 🙄
https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/ #Lean4 #Lean4StateMachines #RuntimeChecks #SoftwareDevelopment #TypeSystems #HackerNews #ngated

🚀 Oh, look! Another attempt to make Lean 4 relevant by shoehorning it into socket state machines. 😂 Apparently, the best runtime check is one that doesn't bother existing at all—because why solve real problems when you can just redefine them as types? 🙄
https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/ #Lean4 #Lean4StateMachines #RuntimeChecks #SoftwareDevelopment #TypeSystems #HackerNews #ngated

🚀 Oh, look! Another attempt to make Lean 4 relevant by shoehorning it into socket state machines. 😂 Apparently, the best runtime check is one that doesn't bother existing at all—because why solve real problems when you can just redefine them as types? 🙄
https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/ #Lean4 #Lean4StateMachines #RuntimeChecks #SoftwareDevelopment #TypeSystems #HackerNews #ngated

🚀 Oh, look! Another attempt to make Lean 4 relevant by shoehorning it into socket state machines. 😂 Apparently, the best runtime check is one that doesn't bother existing at all—because why solve real problems when you can just redefine them as types? 🙄
https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/ #Lean4 #Lean4StateMachines #RuntimeChecks #SoftwareDevelopment #TypeSystems #HackerNews #ngated

🚀 Oh, look! Another attempt to make Lean 4 relevant by shoehorning it into socket state machines. 😂 Apparently, the best runtime check is one that doesn't bother existing at all—because why solve real problems when you can just redefine them as types? 🙄
https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/ #Lean4 #Lean4StateMachines #RuntimeChecks #SoftwareDevelopment #TypeSystems #HackerNews #ngated

Zero-Cost POSIX Compliance: Encoding the Socket State Machine in Lean's Types

https://ngrislain.github.io/blog/2026-3-25-zerocost-posix-compliance-encoding-the-socket-state-machine-in-lean-4s-type-system/

#HackerNews #ZeroCostPOSIX #Compliance #SocketStateMachine #Lean4 #Types

Lean 4 is apparently the new secret sauce of #AI dominance, because who knew that theorem proving could be so *riveting*? 🤔✨ But don't worry, before you can learn how to take over the world with math, you'll need to pass the Vercel Security Checkpoint IQ test, where only the chosen ones with #JavaScript enabled may proceed. 🛂🔒
https://venturebeat.com/ai/lean4-how-the-theorem-prover-works-and-why-its-the-new-competitive-edge-in #Lean4 #TheoremProving #VercelSecurity #HackerNews #ngated

Lean 4: How the theorem prover works and why it's the new competitive edge in AI

https://venturebeat.com/ai/lean4-how-the-theorem-prover-works-and-why-its-the-new-competitive-edge-in

#HackerNews #Lean4 #AI #TheoremProver #CompetitiveEdge #MachineLearning

This is also not too different to how #Lean4 implements mutability and loops in its do-notation.

(Though I think Lean does not use a key-value-store, but rather just nests multiple State Monad Transformers inside of each other.)

[New Blog Post] Calling Lean Functions As Python Functions https://www.philipzucker.com/leancall/ #lean4 #python

Lean4 proof that SSOT requires definition-time hooks and introspection

https://zenodo.org/records/18177320

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

Lean4 proof that SSOT requires definition-time hooks and introspection

https://zenodo.org/records/18177320

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

Lean4 proof that SSOT requires definition-time hooks and introspection

https://zenodo.org/records/18177320

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

Lean4 proof that SSOT requires definition-time hooks and introspection

https://zenodo.org/records/18177320

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

Lean4 proof that SSOT requires definition-time hooks and introspection

https://zenodo.org/records/18177320

#HackerNews #Lean4 #SSOT #proof #definition-time #hooks #introspection #Zenodo

🎉 Behold! A groundbreaking compilation of "junk theorems" in #Lean4, because why not waste your time with math that doesn't matter? 😂 Dive into this #GitHub treasure trove and make your brain cells work overtime for zero reward! 🧠💥
https://github.com/James-Hanson/junk-theorems-in-lean #junktheorems #mathhumor #brainwork #wasteoftime #HackerNews #ngated

🎉 Behold! A groundbreaking compilation of "junk theorems" in #Lean4, because why not waste your time with math that doesn't matter? 😂 Dive into this #GitHub treasure trove and make your brain cells work overtime for zero reward! 🧠💥
https://github.com/James-Hanson/junk-theorems-in-lean #junktheorems #mathhumor #brainwork #wasteoftime #HackerNews #ngated

🎉 Behold! A groundbreaking compilation of "junk theorems" in #Lean4, because why not waste your time with math that doesn't matter? 😂 Dive into this #GitHub treasure trove and make your brain cells work overtime for zero reward! 🧠💥
https://github.com/James-Hanson/junk-theorems-in-lean #junktheorems #mathhumor #brainwork #wasteoftime #HackerNews #ngated

🎉 Behold! A groundbreaking compilation of "junk theorems" in #Lean4, because why not waste your time with math that doesn't matter? 😂 Dive into this #GitHub treasure trove and make your brain cells work overtime for zero reward! 🧠💥
https://github.com/James-Hanson/junk-theorems-in-lean #junktheorems #mathhumor #brainwork #wasteoftime #HackerNews #ngated

I like this quote in "From Zero to QED":

"The honest truth is that most people do not need dependent type theory or formal verification for their day jobs. But necessity is a boring criterion for what to learn. People study ancient languages, play chess, learn to cook elaborate dishes, prove that there are infinitely many primes. The question is not whether you need something but whether it interests you."

https://sdiehl.github.io/zero-to-qed/02_why.html

#lean4

In the thrilling new world of #Lean4, we've finally proven bounds for the Randomized MaxCut #Approximation algorithm that nobody asked for. 📈🔍 Now you can confidently cut those graphs like a pro while impressing... well, nobody. Because who doesn't love an NP-Complete problem just chilling with some approximation algorithms? 🙄🎉
https://abhamra.com/blog/randomized-maxcut/ #RandomizedMaxCut #NPComplete #Algorithms #GraphTheory #HackerNews #ngated

In the thrilling new world of #Lean4, we've finally proven bounds for the Randomized MaxCut #Approximation algorithm that nobody asked for. 📈🔍 Now you can confidently cut those graphs like a pro while impressing... well, nobody. Because who doesn't love an NP-Complete problem just chilling with some approximation algorithms? 🙄🎉
https://abhamra.com/blog/randomized-maxcut/ #RandomizedMaxCut #NPComplete #Algorithms #GraphTheory #HackerNews #ngated

In the thrilling new world of #Lean4, we've finally proven bounds for the Randomized MaxCut #Approximation algorithm that nobody asked for. 📈🔍 Now you can confidently cut those graphs like a pro while impressing... well, nobody. Because who doesn't love an NP-Complete problem just chilling with some approximation algorithms? 🙄🎉
https://abhamra.com/blog/randomized-maxcut/ #RandomizedMaxCut #NPComplete #Algorithms #GraphTheory #HackerNews #ngated

In the thrilling new world of #Lean4, we've finally proven bounds for the Randomized MaxCut #Approximation algorithm that nobody asked for. 📈🔍 Now you can confidently cut those graphs like a pro while impressing... well, nobody. Because who doesn't love an NP-Complete problem just chilling with some approximation algorithms? 🙄🎉
https://abhamra.com/blog/randomized-maxcut/ #RandomizedMaxCut #NPComplete #Algorithms #GraphTheory #HackerNews #ngated

Proving Bounds for the Randomized MaxCut Approximation Algorithm in Lean4

https://abhamra.com/blog/randomized-maxcut/

#HackerNews #ProvingBounds #RandomizedMaxCut #ApproximationAlgorithm #Lean4 #HackerNews

Proving Bounds for the Randomized MaxCut Approximation Algorithm in Lean4

https://abhamra.com/blog/randomized-maxcut/

#HackerNews #ProvingBounds #RandomizedMaxCut #ApproximationAlgorithm #Lean4 #HackerNews

Proving Bounds for the Randomized MaxCut Approximation Algorithm in Lean4

https://abhamra.com/blog/randomized-maxcut/

#HackerNews #ProvingBounds #RandomizedMaxCut #ApproximationAlgorithm #Lean4 #HackerNews

Proving Bounds for the Randomized MaxCut Approximation Algorithm in Lean4

https://abhamra.com/blog/randomized-maxcut/

#HackerNews #ProvingBounds #RandomizedMaxCut #ApproximationAlgorithm #Lean4 #HackerNews

Proving Bounds for the Randomized MaxCut Approximation Algorithm in Lean4

https://abhamra.com/blog/randomized-maxcut/

#HackerNews #ProvingBounds #RandomizedMaxCut #ApproximationAlgorithm #Lean4 #HackerNews

🎉 Welcome to the mind-bending world of Lean 4, where scattered resources and typos unite to create the most "informal" #introduction to a formal language ever conceived. 🤪 Just remember, your keyboard shortcuts will be more useful than the article itself, as it takes you on a thrilling #journey from QED to ZZZ. 😴🚀
https://sdiehl.github.io/zero-to-qed/01_introduction.html #Lean4 #Informal #Learning #Programming #HackerNews #ngated

From Zero to QED: An informal introduction to formality with Lean 4

https://sdiehl.github.io/zero-to-qed/01_introduction.html

#HackerNews #ZeroToQED #Lean4 #Introduction #Formality #Programming

Hmmm... I'm no expert on #PvsNP by any means, but this looks both #AI-generated and a bit fishy to me. 🤨

A Homological Proof of P≠NP: Computational Topology via Categorical Framework https://arxiv.org/abs/2510.17829 #paper📄 #compsci

N.B. #GitHub page with #Lean4 code returns 404.

Team claims to have Lean 4 proof that P≠NP

https://arxiv.org/abs/2510.17829

#HackerNews #PvsNP #Lean4 #Proof #Mathematics #ComputerScience #HackerNews

I owe a lot to a few programming languages that taught me how to design a language, both from an engineering standpoint and computer science.

#Lisp & #haskell for what a good programming language might look like.

#Agda, #Idris2, #lean4 to show me how useful dependent types are.

#C++, to teach me what to avoid

#python, #javascript to be such giant examples of shitty languages and give me hope that I can do better. 😂

Unexpectedly learning Lean 🤷🤷

#lean4 #zurihac2025 #zurihac

The Lean FRO team met synchronously in Amsterdam last week for our annual team retreat, and to discuss upcoming work and our Year 3 roadmap! 🇳🇱✨

We had very productive discussions around Lean's future in mathematics, software and hardware verification, and AI for math. It was energizing to see our team's commitment to Lean's continued growth in each of these domains.

We're cooking up many exciting developments that will support both our mathematical community and our growing base of software verification users. Stay tuned for our full Y3 roadmap publication at the end of July!

#LeanLang #LeanProver #Lean4 #FormalVerification #Programming #Mathematics #TheoremProving

DeepSeek Releases Massive 671B Prover V2 Model For Mathematical Theorem Proving Ahead of R2 Release

#AI #ChinaAI #DeepSeek #OpenSourceAI #Math #TheoremProving #Lean4 #MachineLearning #DeepLearning #MathAI

https://winbuzzer.com/2025/04/30/deepseek-releases-massive-671b-prover-v2-model-for-mathematical-theorem-proving-ahead-of-r2-release-xcxwbn/

Clean, a formal verification DSL for ZK circuits in Lean4

https://blog.zksecurity.xyz/posts/clean/

#HackerNews #Clean #ZK #circuits #Lean4 #formal #verification #DSL

Clean, a formal verification DSL for ZK circuits in Lean4

https://blog.zksecurity.xyz/posts/clean/

#HackerNews #Clean #ZK #circuits #Lean4 #formal #verification #DSL

Cadical 2.1.3 built as an upcomming Nix package solves T56.2.0.cnf in 147.2 sec.
Cadical 1.9.5 installed by elan as a part of Lean-4.16.0 binary pack does in 111.0 sec.
Hmm, the Nix version does not seem to be applied some optimizations. A pretty big difference. (My solver solves it in 245.2 sec.)

#nixpkgs #Lean4 #SATsolver #cadical