Equation 5 · 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.
retained working state. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
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
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
where is retained working state and g is the task objective. A tool translates the proposed action into an environmental transition; the environment returns evidence; and an evaluator determines whether the evidence supports continuing, replanning, escalating, or stopping. The policy may be a frontier model, but the agent is the entire closed loop.
Sources cited in the article section
- [3] Building effective agents ↗
- [7] ReAct: Synergizing Reasoning and Acting in Language Models ↗
- [8] Toolformer: Language Models Can Teach Themselves to Use Tools ↗
These citations give research context. Read each source to check which claims it supports.
Return to Reliable AI Agents Are Control Systems, Not Chatbots