Symbol p_i
is part of the quantity the equation computes from the expression on the right.
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If one makes the deliberately crude assumption =p , a 98% reliable stage repeated 50 times yields 0.98^{50}0.364 . Real agent steps are neither independent nor identically distributed: an early mistake can corrupt later observations, while a test can expose and reverse it. The simple product is useful because it reveals the architecture’s burden. Long tasks require mechanisms that change conditional probabilities after observing evidence , not merely a model with a flattering average.
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Symbol p
p is part of the quantity the equation computes from the expression on the right.
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Published contexts (1)
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Equation 13 · AI Agents & Systems
Reliable AI Agents Are Control Systems, Not Chatbots
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
If one makes the deliberately crude assumption =p , a 98% reliable stage repeated 50 times yields 0.98^{50}0.364 . Real agent steps are neither independent nor identically distributed: an early mistake can corrupt later observations, while a test can expose and reverse it. The simple product is useful because it reveals the architecture’s burden. Long tasks require mechanisms that change conditional probabilities after observing evidence , not merely a model with a flattering average.
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