Equation 16 · Part 6 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

Symbol b_k

o_k \sim \Omega_H(o\mid s_k, q_k, b_k),

b_k

What this part means

a context budget.

Its job in the formula

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

Full expressionSymbol b_kArticle meaning

Where the article explains it

where $q_k$ is the model’s query or action and $b_k$ is a context budget.

The passage around this formula

Let $s_k$ be the relevant but incompletely observed repository state. The harness emits $o_k \sim \Omega_H(o\mid s_k, q_k, b_k)$ . where $q_k$ is the model’s query or action and $b_k$ is a context budget. Two agents using the same model can behave differently because their observation functions $\Omega_H$ expose different facts, truncate different histories, or describe tools differently.

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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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