Equation 1 · Typed Tools: Protocols as an Agent's Action Alphabet
What does this equation mean?
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
Symbol t
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol Sigma
Sigma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Start with the smallest honest model. A tool is not a function in the mathematical sense, because it touches the world. Write it as a partial map from arguments and world-state to results and world-state: . Four things are named there, and each corresponds to a design decision that is usually made by accident.
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.
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