Война США и Ирана скорее всего станет затяжным конфликтом и будет более жестокой, чем Двенадцатидневная война 2025 года. На это в интервью «Ленте.ру» указал востоковед, программный менеджер Российского совета по международным делам (РСМД) Иван Бочаров.
And I fail. They don't let me report it.,这一点在同城约会中也有详细论述
。体育直播对此有专业解读
Opens in a new window。搜狗输入法2026对此有专业解读
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.
此外,该扩建项目亦是默沙东强化美国本土制造与研发实力的关键举措,属于其2018年以来对美国市场逾120亿美元投资承诺的构成部分。