Россиянин решил растопить сердце бывшей возлюбленной и сжег ее дом08:47
2026-03-05 00:00:00:0 （2026年3月4日第十四届全国人民代表大会第四次会议主席团第一次会议推选）
，详情可参考搜狗输入法
Уиткофф рассказал о хвастовстве Ирана своим ядерным потенциалом на переговорах08:47
*为保护受访对象，以下均为化名。
，详情可参考WPS官方版本下载
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.
일반적으로 국제 유가 상승이 국내 주유소 가격에 반영되기까지는 수주간의 시차가 존재한다. 그럼에도 국내 기름값이 빠르게 오르는 것은 중동 사태 장기화에 대한 시장 불안 심리가 반영된 영향으로 분석된다.。PDF资料是该领域的重要参考