Math 2.0
Slides by Terrence Tao
teorth.github.io/tao-web/slid...
I did not read them. I just saw someone (from Caltech) somewhere criticizing Tao's views
#LeanLang is mentioned twice.
@adolfoneto.elixiremfoco.com
@adolfoneto.elixiremfoco.comMath 2.0
Slides by Terrence Tao
teorth.github.io/tao-web/slid...
I did not read them. I just saw someone (from Caltech) somewhere criticizing Tao's views
#LeanLang is mentioned twice.
@adolfoneto.elixiremfoco.comBut, of course, right now, #LeanLang has been benefitted by the AI wave. Leonardo de Moura was invited to the Trump Science event.
@adolfoneto.elixiremfoco.comI mean, in the past, when we saw #LeanLang code we would be almost sure it was written by someone who understood the language*, which is not easy. Now anyone can generate Lean gibberish using an LLM.
* This is far from true for other programming languages.
@adolfoneto.elixiremfoco.com@adolfoneto.elixiremfoco.com"8 of the Lean formalizations in OpenAI's repo are 'broken' (trivially provable with wrong proofs):"
Alex Meiburg
@adolfoneto.elixiremfoco.comWell, well.
#LeanLang
"Leo the first proof assistant dev to be invited to the white house????
damn plbros we're really moving up in life huh?
makes me tear up a lil"
@kirancodes.me posted on X
@adolfoneto.elixiremfoco.com"BREAKING: OpenAI’s solution to Navier–Stokes does not match its Lean verification."
Valerio Capraro
Associate Professor at Uni Milan-Bicocca.
@adolfoneto.elixiremfoco.comSoftware Foundations in Lean
This repository contains the sources for the Software Foundations in Lean textbook series
@adolfoneto.elixiremfoco.comIt always seemed obvious to me in programming: if the person writing the prompt in natural language is not able to read the formal specification (in #LeanLang) and verify that it makes sense, what's the point of having a formal specification?
@adolfoneto.elixiremfoco.com@adolfoneto.elixiremfoco.comLeonardo de Moura, the Creator of #LeanLang, posted on Linkedin:
I’m happy to share that I’m starting a new position as Vice President and Distinguished Scientist at Amazon Web Services (AWS)!
@adolfoneto.elixiremfoco.comI imagined a kind of integration between #ElixirLang and #leanLang some years ago and expressed it in some of my podcasts.
José Valim, the creator of Elixir, is taking care of that now.
@rustyxyz.bsky.socialyes, 1 + 1 is always less than 3, thank you Olivia Rodrigo. I checked it with #leanlang
U + Me = ＜3
@adolfoneto.elixiremfoco.comFunctional Programming in Lean
David Thrane Christiansen
This is a free book on using Lean as a programming language. All code samples are tested with Lean release 4.33.0.
@adolfoneto.elixiremfoco.comPapers with #LeanLang
Curated by Soonho Kong
paperswithlean.com
@antiviolentintelligence.aiWhat mathematical specification connects their treatment of Navier–Stokes / nonlocal PDE structure, and where do the constructions differ?
Use the Galerkin reading point here for reference: readingpoint.app/galerkin/
@a.baez.linkVerifiable proof correctness is key. But try doing it on practically anything. Especially in security. 🫠 #leanlang seems quite interesting. Without having to have a mathematics PhD 😅
@adolfoneto.elixiremfoco.com@adolfoneto.elixiremfoco.comBoris Cherny "used Opus 5.5 to formally verify the Claude Agent SDK using Lean. A couple short prompts = 16 PRs fixing various bugs and race conditions."
His evidence: "Video attached." on X
@adolfoneto.elixiremfoco.comLynx
An experimental Erlang/Elixir-to-Lean translation and verification project.