三月初，苹果春季发布会将带着 iPhone 17e 和新 MacBook 系列如期而至；视线投向海外，小米的 Leitz Phone 悄然现身，荣耀的 Robot Phone 也将在 MWC 上正式亮相，视线转向传统手机形态，vivo X300 Ultra 与 OPPO Find N6 正在步步靠近……
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.
// drop-oldest: Discard old data to make room，详情可参考旺商聊官方下载
# Build a single backend。业内人士推荐safew官方下载作为进阶阅读
«Били в одно место». Российский газовоз уничтожен украинскими дронами в Средиземном море. Что известно об атаке и судьбе моряков14:20
В стране ЕС белоруске без ее ведома удалили все детородные органы22:38，推荐阅读im钱包官方下载获取更多信息