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Equation 23 · Part 1 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

Symbol T_j

Tj:(s,x)↦(s′,y,e),T_j:(s,x)\mapsto (s',y,e),
TjT_j

What this part means

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

Its job in the formula

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

The passage around this formula

A tool TjT_j can be represented as a partial transition function Tj:(s,x)↦(s′,y,e)T_j:(s,x)\mapsto (s',y,e). with environmental state s , arguments x , resulting state s' , observation y , and error or side-effect record e . Reliability requires more than choosing the semantically correct tool. The system must construct valid arguments, detect partial execution, decide whether retry is idempotent, and represent output faithfully enough for the next decision.

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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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