Equation 4 · The Hardest Unsolved Problems in AI Agent Architecture
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Symbol b
the agent’s probability distribution over possible states before an observation.
Symbol s
everything true about the task — every file changed, every external call made, every fact established —.
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A useful decomposition for what an agent needs to track is the belief it holds over the true state of its task, updated as new observations arrive. In the classical formalism, if b(s) is the agent’s probability distribution over possible states before an observation, a is the action just taken, o is the observation that followed, T is the environment’s transition model and O its observation model, the updated belief is
Sources cited in the article section
- [4] Planning and Acting in Partially Observable Stochastic Domains ↗
- [5] MemGPT: Towards LLMs as Operating Systems ↗
- [6] Compaction ↗
These citations give research context. Read each source to check which claims it supports.
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