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Equation 20 · Part 7 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

addition

hk+1=f(hk,ok,ak)h_{k+1}=f(h_k,o_k,a_k)
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

Long sessions pose a lossy-state problem. When a transcript exceeds context capacity, a harness may compact earlier interaction into a summary. If hk+1h_{k+1}=f(hkh_k,oko_k,aka_k) compresses state, reliability depends on whether f preserves commitments, failed hypotheses, file identities, and unresolved constraints. More context tokens do not remove this requirement; they postpone it.

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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