Symbol h_k+1
+1 is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
Why this formula appears here
Long sessions pose a lossy-state problem. When a transcript exceeds context capacity, a harness may compact earlier interaction into a summary. If =f(,,) 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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Symbol f
f is an input to the expression that computes the quantity on the left.
Read this term in its guide →Symbol h_k
is an input to the expression that computes the quantity on the left.
Read this term in its guide →Symbol o_k
is an input to the expression that computes the quantity on the left.
Read this term in its guide →Symbol a_k
is an input to the expression that computes the quantity on the left.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
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Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 20 · AI Agents & Systems
OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Long sessions pose a lossy-state problem. When a transcript exceeds context capacity, a harness may compact earlier interaction into a summary. If =f(,,) 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.
Equation guide → · Article →