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Equation 12 · Part 1 · How Tool Protocols and the Model Context Protocol Actually Work

Symbol o_t

oto_t
oto_t

What this part means

concatenated into the model’s context and fed straight back into πθ\pi_\theta with no protocol-level check on what it contains.

Its job in the formula

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

Where the article explains it

The assumption is in that last term: oto_t is concatenated into the model’s context and fed straight back into πθ\pi_\theta with no protocol-level check on what it contains.

The passage around this formula

…to the server and back, exactly as described above; and ht+1h_{t+1} is the context the model reasons over on the next step, built by appending the call and its result to what came before. The assumption is in that last term: oto_t is concatenated into the model’s context and fed straight back into πθ\pi_\theta with no protocol-level check on what it contains. Whatever a tool returns becomes part of what the model reads next, on exactly the same footing as the user’s own words. Once that is stated plainly, the entire…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.