MongoDB股价暴跌21%,为何分析师仍然建议买入

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Amid its fundraise, a16z crypto has been active in dealmaking. Recent examples have included a decentralized protocol called Babylon that helps users collateralize their Bitcoin holdings, a cross-platform integration tool for prediction markets called Kairos, and a $50 million investment into the Solana staking protocol Jito.

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虽然世界模型的潜力在于能从根本上缓解操作误差,但其背后所需的数据量、算力规模(英伟达DreamZero依赖于H100或GB200这样的顶级芯片组成的计算集群进行并行推理,对于边缘端部署的独立机器人来说,目前的算力成本完全不可接受)及工程复杂度也远超以往,处于“科研高光”与“工程探索”并行的阶段。

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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This story was originally featured on Fortune.com