Resample or Reroute? Recoverable Stopping Debt Without Identified Action Selection

The paper investigates how to handle a large‑language‑model’s weak verifier that accepts a response, followed by a second call that may resample or reroute. It introduces three decision gates—recoverable stopping debt, two‑sided FIT action support, and held‑out value from an outcome‑blind selector—to determine action selection, which is treated as an identification problem. Experiments on MBPP+, LiveCodeBench, and BigCodeBench show that while stopping debt exists, the current evidence does not identify when to resample versus reroute.

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