/**
 * A turn's deadline, and how a cut turn tells it from a stop.
 *
 * To pi, a deadline and a stop are the same abort. The difference travels in
 * the signal's reason, so whoever set the deadline, a subagent's own
 * `timeoutMs` or a flow's attempt, the subagent that was cut reads the same
 * words for it, and the transcript, `usage.json` and the journal of a run
 * agree on what happened. It also words the deadline, once, for every bound
 * that fires: a turn's, a question's, a check's.
 */
/**
 * How a bound of `ms` that fired reads: `timed out after 30m`, as a flow file
 * writes the bound, or in milliseconds when it is not whole seconds, which
 * rounding would misstate.
 */
export declare function timedOutAfter(ms: number): string;
/** The reason a deadline of `ms` aborts with: a `TimeoutError`, as `AbortSignal.timeout` gives. */
export declare function expiry(ms: number): DOMException;
/** A signal that aborts `ms` from now, with {@link expiry} as its reason. Its timer never keeps the process alive. */
export declare function deadline(ms: number): AbortSignal;
/**
 * What `signal` says of a deadline that cut it: the reason's message when it
 * aborted on a `TimeoutError`, `undefined` for any other abort. The first
 * cause wins, since `AbortSignal.any` keeps the reason of whichever fired first.
 */
export declare function timedOut(signal: AbortSignal): string | undefined;
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