ЦРУ поставит оружие курдским отрядам для боевых действий против Ирана08:32
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.
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Антироссийские санкции Европейского союза зашли в тупик, на это указывает и затягивающийся более сложный процесс согласования. На это обратил внимание директор департамента европейских проблем (ДЕП) МИД России Владислав Масленников в разговоре с «Известиями».
昔日“走马章台”的互联网玩家们,最后只剩下餐饮店里的歌舞喧嚣,这不是美貌的胜利,而是狂欢落幕之后,“擦边经济”无奈的苟且。当AI可以批量造出千万张完美容颜,属于颜值主播的黄金时代,终究是,一去不复返了。
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Александра Лисица (Редактор отдела «Забота о себе»)
They currently make 240 food boxes each week, double the amount produced three years ago, handing them out as they make their way through the city's streets.。搜狗输入法2026对此有专业解读