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Equation 9 · Typed Tools: Protocols as an Agent's Action Alphabet

What does this equation mean?

Rt\mathcal{R}_t

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the result type : what the caller is told. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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Rt\mathcal{R}_t

Symbol R_t

the result type : what the caller is told.

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subscript

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.

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How to interpret it

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What the article says around this equation

The reason this framing earns its keep is that it makes the interesting questions unavoidable. How is a proposed element of At\mathcal{A}_t checked before it becomes an action? How finely is the capability carved into distinct t ? What happens when the caller does not learn whether Σ\Sigma changed? And what does Rt\mathcal{R}_t contain when things go wrong?

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Sources cited in the article section

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