At the Lean FRO, Kim Morrison, a Senior Research Software Engineer, recently ran an experiment that went well beyond our expectations. An AI agent converted zlib, a widely used C compression library embedded in countless systems, to Lean, with minimal human guidance. No special tooling was built. It was Claude, a general-purpose AI, with no special training for theorem proving, out of the box. The workflow had four steps. First, the AI produced a clean, readable Lean implementation of the zlib compression format, including the DEFLATE algorithm at its core. Second, the Lean version passed the library’s existing test suite, confirming behavioral equivalence. Third, key properties were stated and proved, not as tests, but as mathematical theorems. The capstone theorem:
Given its auspicious position on the Atlantic coastline, Morocco has been the main source of Gelidium for at least two decades, and demand for bacteriological agar continues to grow. Yearly global consumption increased from 250 tons to 700 tons between 1993 and 2018, and is currently estimated at around 1,200-1,800 tons per year, according to Pelayo Cobos, commercial director of Europe’s largest producer of agar, Roko Agar.
We wanted to compare how different study approaches – working alone, working with classmates, using Macro Buddy or combining both – altered how well students did on exams.。clash下载 - clash官方网站对此有专业解读
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The other metric that sometimes pops up on MicroSD cards is the Application Performance Class. Rather than referring to the minimum speed for writing predictable data in large chunks to the card, this number references the capability to random smaller read and write operations, like you might have when running an application stored on the card. There are currently only two options here, A1 and A2, with the A2 being the faster, newer standard. While there are some exceptions, most of the V30 or higher MicroSD cards I see for sale online are A2, but it's worth keeping an eye out for if you plan on using the card in your phone.