Apple kicked off its week of spring announcements with the iPhone 17e and iPad Air M4 yesterday, both of which are relatively modest upgrades. (Still, it’s nice to have MagSafe on the iPhone 17e.) This morning, Apple unveiled the MacBook Air M5 and MacBook Pro M5 Pro/Max systems, both of which are slightly more expensive than the previous models. We also got a new addition to Apple’s monitor lineup with the 5K MiniLED Studio Display XDR. Along with the MacBook Neo, we may also see an upgraded Mac Studio desktop announced tomorrow.
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:
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The 80386 introduced Virtual 8086 (V86) mode -- allowing real-mode DOS programs to run inside protected mode under OS supervision. While not full virtualization in the modern sense, V86 was the first practical hardware-assisted mechanism on x86 for running legacy software in a protected environment -- used widely in Windows 3.x and Windows 9x.