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Equation 4 · Part 5 · AI and Cybersecurity in Practice: An Advanced Technical Guide

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E=∑cpc dc.E = \sum_{c} p_c \, d_c.
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

There is a simple way to see why capability removal should be the default move rather than the fallback. Model the expected exposure created by a credential as a sum over the capabilities c it carries, each with some probability pcp_c that it is exploited in a given period and some damage dcd_c if it is: E=∑cpc dcE = \sum_{c} p_c \, d_c. 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…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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