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We introduce clever, the first curated benchmark for evaluating the generation of specifications and formally verified code in lean

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This demonstrates that while transformers can 116 represent world states for mazes, they ma Many intellectual endeavors require mathematical problem solving, but this skill remains beyond the capabilities of computers To measure this ability in machine learning models, we introduce math, a new dataset of 12,500 challenging competition mathematics problems Across evaluated tasks, rahp yields compact models with stronger clever lower bounds and minimal change in clean accuracy, and it improves resistance to a wide variety of strong attacks

Although rg(x) can be calculated easily via back propagation, computing lj q;x0 is more involved be

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