Reflection and interference
本报北京3月4日电 (记者李龙伊)十四届全国人大四次会议4日上午在北京人民大会堂举行预备会议。全国人大常委会委员长赵乐际主持会议。会议选举产生了十四届全国人大四次会议主席团和秘书长,表决通过了十四届全国人大四次会议议程。
。业内人士推荐体育直播作为进阶阅读
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Москвичей предупредили о резком похолодании09:45
,这一点在币安_币安注册_币安下载中也有详细论述
Analysis from Trust for London shows that a majority of private renters, 1.1million children and more than a third of pensioners are now living with less than what is needed for day-to-day life in the capital.。业内人士推荐safew官方版本下载作为进阶阅读
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.