Immigration boosts innovation and wages in the US. The positive dynamic impact of immigration on innovation and wages dominates the short-run negative impact of increased labor supply. Increased immigration to the US since 1965 is estimated to have increased innovation and wages by 5%.

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console.log(`[HIJACK] Captured a decrypted chunk. Size: ${data.byteLength} bytes. Total chunks: ${window.DECRYPTED_AUDIO_CHUNKS.length}`);

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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晨雾未散,甘肃(兰州)国际陆港内,龙门吊起起落落,集装箱整齐排开,“中吉乌—阿”铁公联运国际班列鸣笛启程。

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2026年3月4日の

Bot 无响应:检查 Token、ALLOWED_USERS、Claude Code 是否已安装并可访问、make run-debug 看日志,详情可参考同城约会

Hand-coded weights (constructive proofs are valid — they show the architecture can represent addition)