Apple unveiled a new MacBook Air today, and apart from the new M5 chip, things don’t look remarkably different. Sure, it’s getting a mild refresh, but maybe not in the way most people would want. Namely, it’s more expensive — a $100 price bump across all models. In exchange, the MacBook Air M5 does get faster performance and double the storage.
I wanted to test this claim with SAT problems. Why SAT? Because solving SAT problems require applying very few rules consistently. The principle stays the same even if you have millions of variables or just a couple. So if you know how to reason properly any SAT instances is solvable given enough time. Also, it's easy to generate completely random SAT problems that make it less likely for LLM to solve the problem based on pure pattern recognition. Therefore, I think it is a good problem type to test whether LLMs can generalize basic rules beyond their training data.
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