← All parts of this equation

Equation 20 · Part 6 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

=

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

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the article section

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