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Equation 11 · Part 1 · How Tool Protocols and the Model Context Protocol Actually Work

Symbol h_t+1

ht+1h_{t+1}
ht+1h_{t+1}

What this part means

the context the model reasons over on the next step, built by appending the call and its result to what came before.

Its job in the formula

hth_t+1 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

Here Tt\mathcal{T}_t is the tool set most recently returned by tools/list , each member carrying its own schema; πθ\pi_\theta is the model, which is expected — but not forced by anything outside its own training — to emit a call ata_t whose name and arguments validate against some tool in Tt\mathcal{T}_t ; Call\mathrm{Call} is dispatch through the client 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 passage around this formula

…outside its own training — to emit a call ata_t whose name and arguments validate against some tool in Tt\mathcal{T}_t ; Call\mathrm{Call} is dispatch through the client 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.…

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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

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