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Equation 4 · Part 5 · Reliable AI Agents Are Control Systems, Not Chatbots

Symbol h_t

at∼πθ(a∣o≤t,ht,g),a_t \sim \pi_\theta(a \mid o_{\le t}, h_t, g),
hth_t

What this part means

retained working state.

Its job in the formula

hth_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

where hth_t is retained working state and g is the task objective.

The passage around this formula

Let the environment have a latent state sts_t , expose an observation oto_t , and accept an action ata_t . The model and its surrounding prompt produce a policy at∼πθ(a∣o≤t,ht,g)a_t \sim \pi_\theta(a \mid o_{\le t}, h_t, g). where hth_t is retained working state and g is the task objective. A tool translates the proposed action into an environmental transition; the environment returns evidence; and an evaluator determines whether the evidence supports continuing, replanning, escalating, or stopping. The policy may be a frontier model, but the agent is the entire closed loop.

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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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