← Back to article

Equation 1 · AI Agent Architecture in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

What does this equation mean?

p(a)p(a)

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

pp

Symbol p

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

Understand this part →

aa

Symbol a

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

Understand this part →

How to interpret it

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

What the article says around this equation

Whether human-approval checkpoints become automated and statistical is, likewise, mostly a readout of Axis B rather than a genuinely separate question. A useful way to see the dependency is to write the automation decision as a threshold rule. Let p(a) be a certified upper bound on the probability that action a violates its specification, and let S(a) be a severity score for the consequence class a belongs to. A natural rule an organization or regulator could adopt is

Read the equation in its article →

Sources cited in the article section

These citations give research context. Read each source to check which claims it supports.

Return to AI Agent Architecture in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

See this formula across 3 published contexts →

Browse the mathematical compendium →