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Equation 2 · Part 9 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest

=

Aj=(Mj,Cj,Tj,Pj,Ej,Sj,Oj),\mathcal A_j=(M_j,C_j,T_j,P_j,E_j,S_j,O_j),
=

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

Represent a deployed system j as Aj=(Mj,Cj,Tj,Pj,Ej,Sj,Oj)\mathcal A_j=(M_j,C_j,T_j,P_j,E_j,S_j,O_j). where M is model policy, C context and state, T tools and extensibility, P permissions, E execution isolation, S surfaces and handoff, and O organizational controls. Comparing only M discards most of what users buy and most of what defenders must secure.

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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 →

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