← Mathematical compendium

Published equation contexts

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

Why this formula appears here

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.

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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

Equation 10 · Security

Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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.

Meanings in this article

Equation guide → · Article →