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Equation 13 · Part 1 · Reliable AI Agents Are Control Systems, Not Chatbots

Symbol p_i

pi=pp_i=p
pip_i

What this part means

pip_i is part of the quantity the equation computes from the expression on the right.

Its job in the formula

pip_i is part of the quantity the equation computes from the expression on the right.

The passage around this formula

If one makes the deliberately crude assumption pip_i=p , a 98% reliable stage repeated 50 times yields 0.98^{50}≈\approx0.364 . 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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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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