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Equation 10 · Part 1 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

Symbol A_excess

Aexcess=Ag∖Au(g,s),A_{\mathrm{excess}}=A_g\setminus A_u(g,s),
AexcessA_{\mathrm{excess}}

What this part means

the dangerous excess.

Its job in the formula

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

Where the article explains it

The dangerous excess is

The passage around this formula

Let user-intended authority be AuA_u and agent-held authority be AgA_g . The dangerous excess is Aexcess=Ag∖Au(g,s)A_{\mathrm{excess}}=A_g\setminus A_u(g,s). where intended authority depends on goal g and state s , not merely user identity.

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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.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

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