The year 2026 has truly been one of turmoil: Venezuela, Greenland and Iran. Europe faces an expansionist Russia on its doorstep, an economically aggressive China and an increasingly unpredictable ally in Washington.
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我不忍心独居的母亲孤独寂寞，生病时无人照护更令人担忧，多次和她商议去住养老院，但她说，“死也不去那个地方”。我深知母亲对此有较大心结，她说自己以前孤零零地住在那里，别人见她家里极少有人去看她，有人就会嘲笑她、欺负她。有人说她是一个没人要的残疾老太婆，还有人说她活着是浪费粮食等，自尊心极强的母亲受不了这些。，详情可参考51吃瓜
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
2025年4月30日，十四届全国人大常委会第十五次会议表决通过民营经济促进法，自2025年5月20日起施行。当日下午，中国人大网公布《中华人民共和国民营经济促进法》全文。