Россиянам станет тяжелее снять наличные08:49
В Москве прошла самая снежная зима14:52
Abstract:This is a brief description of a project that has already autoformalized a large portion of the general topology from the Munkres textbook (which has in total 241 pages in 7 chapters and 39 sections). The project has been running since November 21, 2025 and has as of January 4, 2026, produced 160k lines of formalized topology. Most of it (about 130k lines) have been done in two weeks,from December 22 to January 4, for an LLM subscription cost of about \$100. This includes a 3k-line proof of Urysohn's lemma, a 2k-line proof of Urysohn's Metrization theorem, over 10k-line proof of the Tietze extension theorem, and many more (in total over 1.5k lemmas/theorems). The approach is quite simple and cheap: build a long-running feedback loop between an LLM and a reasonably fast proof checker equipped with a core foundational library. The LLM is now instantiated as ChatGPT (mostly 5.2) or Claude Sonnet (4.5) run through the respective Codex or Claude Code command line interfaces. The proof checker is Chad Brown's higher-order set theory system Megalodon, and the core library is Brown's formalization of basic set theory and surreal numbers (including reals, etc). The rest is some prompt engineering and technical choices which we describe here. Based on the fast progress, low cost, virtually unknown ITP/library, and the simple setup available to everyone, we believe that (auto)formalization may become quite easy and ubiquitous in 2026, regardless of which proof assistant is used.，推荐阅读下载安装 谷歌浏览器 开启极速安全的 上网之旅。获取更多信息
Manufacturer Ford told CNBC it would help to address "the imbalance between current emissions standards and customer choice", while industry body the Alliance for Automotive Innovation said it would help to "correct some of the unachievable emissions regulations enacted under the previous administration".，更多细节参见heLLoword翻译官方下载
Wordle today: Answer, hints for March 3, 2026
现在，Genspark的演进路线正在与Manus发生危险的交汇：Genspark起初以AI搜索切入，但很快推出了具有极强Agent属性的功能，试图在信息检索的基础上直接完成任务交付。。咪咕体育直播在线免费看是该领域的重要参考