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Equation 19 · Part 1 · What Alignment Actually Costs

Symbol c

cc
cc

What this part means

the if a single red-team attempt costs.

Its job in the formula

c is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Put in economic terms, if a single red-team attempt costs c and succeeds with probability p , the expected cost of finding one more genuine failure is E\mathbb{E}[CfindC_{\mathrm{find}}] = cp\frac{c}{p}.

The passage around this formula

Holding c roughly fixed at crowdworker wage rates, a falling p as RLHF hardens a model means the expected cost per discovered failure rises mechanically with every round of safety training — the same defensive work that red-teaming is meant to validate makes the next round of red-teaming more expensive per useful finding, not less.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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