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Algon comments on Summoning the Least Powerful Genie - Less Wrong Discussion
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All the constraints you put down aren't the same as making the least powerful genie. Restricting its time or resources or whatever increases its efficiency, but that's just as a by product, an accident. The least powerful genie should be the most efficient, not as a by-product of its design, but as the end goal. The model you put down just happens to approximate the least powerful genie.