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Equation 5 · AI and Cybersecurity in Practice: An Advanced Technical Guide

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pcp_c

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the better monitoring reduces your uncertainty about. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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pcp_c

Symbol p_c

the better monitoring reduces your uncertainty about.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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What the article says around this equation

Two of the terms in that sum are hard to know honestly. An estimate of pcp_c assumes a threat model that has to guess at an adversary’s behaviour, and dcd_c is only bounded once you have already imagined the worst plausible use of the capability — the same failure of imagination that undermines defense-in-depth probability estimates generally. But there is one operation available to a system designer that requires no estimate at all: revoke the capability, and its term leaves the sum exactly, not approximately. Better monitoring reduces your uncertainty about pcp_c . Removing c removes the need to know it. That is the quantitative case for treating scope reduction as the first move rather than “we…
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Two of the terms in that sum are hard to know honestly. An estimate of pcp_c assumes a threat model that has to guess at an adversary’s behaviour, and dcd_c is only bounded once you have already imagined the worst plausible use of the capability — the same failure of imagination that undermines defense-in-depth probability estimates generally. But there is one operation available to a system designer that requires no estimate at all: revoke the capability, and its term leaves the sum exactly, not approximately. Better monitoring reduces your uncertainty about pcp_c . Removing c removes the need to know it. That is the quantitative case for treating scope reduction as the first move rather than “we will detect misuse if it happens” — detection is a hedge against the terms you decided you could not remove, not a substitute for removing the ones you could.

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