Equation 10 · Typed Tools: Protocols as an Agent's Action Alphabet
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Symbol delta_t
delt 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.
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What the article says around this equation
The standard escape hatch is idempotency, and RFC 9110 gives the definition that everything else builds on: “A request method is considered ‘idempotent’ if the intended effect on the server of multiple identical requests with that method is the same as the effect for a single such request” [ 5 ] . The specification connects this directly to the failure case above, noting that some requests can be automatically retried by a client in the event of an underlying connection failure [ 5 ] . In the transition-function model, writing the state component of the tool as , the property is:
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