Equation 11 · Reliable AI Agents Are Control Systems, Not Chatbots
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol p_i
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
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What the article says around this equation
Single-turn model quality can hide long-horizon fragility. Suppose a task has n dependent stages and each stage succeeds with conditional probability given that all previous stages succeeded. Then
Sources cited in the article section
- [9] SWE-bench: Can Language Models Resolve Real-World GitHub Issues? ↗
- [10] tau-bench: A Benchmark for Tool-Agent-User Interaction in Real-World Domains ↗
These citations give research context. Read each source to check which claims it supports.
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