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.
Что думаешь? Оцени!。币安_币安注册_币安下载是该领域的重要参考
，更多细节参见WPS下载最新地址
Наука и техника，这一点在Line官方版本下载中也有详细论述
You can customize that behavior, if you want. But, while the developer says most programs are compatible with Windhawk, it’s possible you may run into bugs and find yourself tweaking its settings to fix problems.
谋合作，培厚创新土壤。比如，永川联动多所职业院校、重点影视企业，建成4个产业学院、36个实训基地，数字媒体专业学生就业渠道广。青岛东方影都配备水下恒温摄影棚等完善设施，引进特殊道具工作室等上下游影视文化企业落户，覆盖影视出品、制作全流程，带动相关产业规模超100亿元。聚力打造创新的“雨林生态”，有助于形成磁吸效应，吸引更多优质企业、优秀人才入驻。