The GIST, which prides itself on providing equal coverage to men’s and women’s sports and reaches roughly 1 million newsletter subscribers, will serve as the official media and content partner for the weekend, co-founder Jacie deHoop said. The company had reached out to the rapper after seeing his post.
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.。关于这个话题，服务器推荐提供了深入分析
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高质量发展的根基在产业，活力在创新。云南立足自身资源禀赋，坚持传统产业转型与新兴产业培育双向发力，一手推动传统优势产业“老树发新枝”，一手培育战略性新兴产业“新树扎深根”，产业“筋骨”在淬炼中日益强健。，详情可参考爱思助手下载最新版本
乔忠良：我最大的路径依赖，是早期不自觉把机器人硬件当成互联网产品去迭代——觉得先上一个版本，再快速改就行。但硬件不是这样——一个传感器位置定下来，就意味着未来两三年所有数据都基于这个构型采集。你改一个位置，数据要做空间表征的重新对齐，模型得重新训。