Stateful CARS exactly samples LLM-agent trajectories conditioned on a hard stateful validator by applying sound state-continuation schemas across histories, with correctness proved and verified but no matched speed advantage over root-prefix CARS.
Com- pute rB by memoized recursion keyed by the com- plete serialized history and matcher state, and sample the attempt from QB in Equation (4)
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Stateful CARS: Exact Cross-History Reuse for Policy-Constrained LLM Agents
Stateful CARS exactly samples LLM-agent trajectories conditioned on a hard stateful validator by applying sound state-continuation schemas across histories, with correctness proved and verified but no matched speed advantage over root-prefix CARS.