Ранее стало известно, что бывший первый заместитель министра обороны России Руслан Цаликов был задержан. Он подозревается в создании преступного сообщества. Об этом сообщили в Следственном комитете РФ.
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.
“当时，我们因为交货期问题常常失去订单，真是急得像热锅上的蚂蚁。”兴达公司销售部负责人林月云的叹息揭开行业的窘境：彼时中国高端碳纤维制品进口依存度超过90%，欧美企业不仅掌握定价权，更通过专利构筑起技术壁垒。。业内人士推荐safew官方下载作为进阶阅读
Фото: Mike Segar / Reuters
，详情可参考safew官方版本下载
Более 100 домов повреждены в российском городе-герое из-за атаки ВСУ22:53。业内人士推荐纸飞机下载作为进阶阅读
Трамп определил приоритетность Украины для США20:32