Phew, managed to read through the proofs of an article today. Was a bit tight, only had 15 mins of working time left. It always tends to take longer than expected.
#proofs #publishing #AcademicChatter #AcademicFedi #manuscript #science #research
Kimon Fountoulakis (@kfountou)
์์ฑ์๋ ํด๋น ๊ฒฐ๊ณผ๊ฐ ์ง์ ํ ์ผ๋ฐํ์๋์ง, ์ด๋ค ์๋ฏธ์์ ์ผ๋ฐํ์ธ์ง ์๋ฌธ์ ์ ๊ธฐํฉ๋๋ค. ์ฌ๋๋ค์ด 'first proof'๋ผ ๋งํ ๋ ๋ณดํต ๋ฌธํ์์ ์์ ํ ์ข ๋จ ๊ฐ(end-to-end) ์ฆ๋ช ์ ์ค์ค๋ก ์ฐพ์ง ๋ชปํ์ ๋ฟ ํต์ฌ ๋จ๊ณ๋ค์ ์ด๋ฏธ ์กด์ฌํ์ ๊ฐ๋ฅ์ฑ์ด ํฌ๋ค๊ณ ์ง์ ํ๋ฉฐ, '์ฒซ ์ฆ๋ช '์ ์ ์์ ์ฃผ์ฅ ๊ฒ์ฆ์ ์ค์์ฑ์ ๊ฐ์กฐํฉ๋๋ค.

@harshit_sikchi Well, was it really a generalization? And if so, in what sense? I think we are about to see that when humans say โfirst proofโ, they usually mean they couldnโt find the complete end-to-end proof in the literature themselves, even though core steps might already exist.
Yang Liu (@yangpliu)
ํด๋น ์ฆ๋ช ์ ์ฃผ์ ์์ด๋์ด๋ ๋ณธ๋ arXiv:0808.0163 ๋ฐ arXiv:0911.1114์์ ๋น๋กฏ๋์๋ค๊ณ ๋ฐํ๋ฉฐ, ์ด ๋ถ์ผ ์ฐ๊ตฌ์๋ค์๊ฒ๋ ์ด ์ฐธ์กฐ๋ค์ด ์๋ช ํ๋ค๊ณ ์ฃผ์ฅํฉ๋๋ค. ๋ฐ๋ผ์ ์ด ํด๊ฒฐ์ฑ ์ '์๋ก์ด ์์ด๋์ด'๋ผ๊ณ ๋ถ๋ฅด๊ธฐ๋ณด๋ค๋ ๊ธฐ์กด ์ฐ๊ตฌ์ ์ธ์์ ์ธ ์ข ํฉ์ผ๋ก ๋ณด๋ ํธ์ด ์ ์ ํ๋ค๊ณ ํ๊ฐํฉ๋๋ค.
Kevin Weil (@kevinweil)
AI ์ํ ๋ถ์ผ์์ 'First Proof' ์ฑ๋ฆฐ์ง๊ฐ ํ๋ฅญํ ์์ด๋์ด์์ผ๋ฉฐ ๊ฒฐ๊ณผ๋ฅผ ๊ธฐ๋ํ๋ค๊ณ ๋ฐํ. ๋ํ OpenAI์ ์ ์ถ๋ฌผ์ ๋ํด @merettm์ ํด์ค(์๊น ์๋ ์ค๋ช )์ด ํ๋ฅญํ๋ค๊ณ ์ธ๊ธํจ.
Blocked by person refusing to believe a #Mathematics #textbook and #proofs because of a random #Wikipedia article that doesn't cite any Maths textbooks, and in fact has proofs in it that actually contradict the conclusion! (the series 0.1, 0.01, 0.001, 0.0001,... never reaches zero, even as the series approaches infinity - it's a hyperbola with an asymptote of 0 - which you think would be self-evident, and yet here we are) Welcome to the #disinformation age! ๐ก
Lies, Damned Lies and Proofs: Formal Methods Are Not Slopless
#HackerNews #Lies #Damned #Lies #Formal #Methods #Proofs #Technology

There's been a lot of chatter recently on HN and elsewhere about how formal verification is the obvious use-case for AI. While we broadly agree, we think much of the discourse is kinda wrong because it incorrectly presumes formal = slopless.
AI Notkilleveryoneism Memes (@AISafetyMemes)
Gemini์ ๋ ผ์ฆ์ด ๋จ์ํ ๊ธฐ์กด ์ฆ๋ช ์ ์ฌํฌ์ฅํ ๊ฒ์ด ์๋๋ผ, ํธ์ ์์ฑ์๊ฐ ์์ ์ด ์ง์ ๋ผ ๋งํ ์์ค์ ํต์ฐฐ์ ์ ๊ณตํ๋ค๊ณ ํ๊ฐ๋ฐ์๋ค๋ ๋ด์ฉ์ ๋๋ค. ์ด๋ Gemini ๋ชจ๋ธ์ ๊ณ ๊ธ ์ถ๋ก ยท์ฐฝ์์ ๋ฌธ์ ํด๊ฒฐ ๋ฅ๋ ฅ์ ๊ฐ์กฐํ๋ ์ฌ๋ก์ ๋๋ค.
fun book http://concrete-semantics.org/
(pdf available)
found on this thread https://lobste.rs/s/eulydi/which_programming_resource_changed_your
Robbe Van den Eede shares insights on #proofs and their role in #logic-based languages for #KnowledgeRepresentation, discussing the paper โA Sequent Calculus for Generalized Inductive Definitionsโ, co-authored with Robbe Van Biervliet and Marc Denecker, which received the Best Paper Award at LPNMR 2024.
https://blogic.ink/p/a-sequent-calculus-for-general-inductive-definitions/