НАСА откроет стартовое окно Artemis II в апреле14:57
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.
，这一点在heLLoword翻译官方下载中也有详细论述
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演說尾聲，特朗普連結美國獨立宣言250週年，提出了「1776美元稅務紅利」，並宣稱：「從德州崎嶇邊境小鎮，到密西根心臟地帶村莊；從佛羅里達陽光普照海岸，到達科他無盡田野……美國的黃金時代現在降臨。」全場共和黨議員起立鼓掌。，更多细节参见爱思助手下载最新版本
Regarding Lin Junyang’s whereabouts, no new conclusions were reached at the meeting. However, around 2 PM, Lin Junyang posted again on his WeChat Moments, stating, “Brothers of Qwen, continue as originally planned, no problem,” without explicitly confirming whether he would return. [...]
«Это не символическое иранское нападение. Оно не ограничивается американскими базами, так как у иранцев есть своя нефтяная инфраструктура. Так что все может пойти по очень жесткому сценарию», — указал аналитик.，这一点在搜狗输入法中也有详细论述