import { type Duration } from "../../automation/signal-operators.js";
import { type InferSignal, type InheritSignalCoordination, type Signal } from "../../automation/signal-protocol.js";
/**
 * Emits null in a correlated child context after a durable relative delay.
 *
 * @param duration - Compact duration string, milliseconds, or compatible
 *   signal.
 */
export declare function delay(duration: Duration): Signal<null>;
/**
 * Re-emits a signal value in a correlated child context after a durable delay.
 *
 * @param duration - Compact duration string, milliseconds, or compatible
 *   signal.
 * @param value - Signal whose value starts the delay and is emitted afterward.
 */
export declare function delay<TSignal extends Signal>(duration: Duration, value: TSignal): InheritSignalCoordination<TSignal, InferSignal<TSignal>>;
/**
 * Traverses an automation section whose durable operations wait for a delay.
 *
 * @param duration - Compact duration string, milliseconds, or compatible
 *   signal.
 * @param section - Synchronous automation section to traverse.
 */
export declare function delay<TResult extends Signal | void>(duration: Duration, section: () => TResult): TResult;
/**
 * Fails unless a signal emits or fails before a durable relative deadline.
 *
 * The deadline can span execution jobs. It does not interrupt an action handler
 * that is already running.
 *
 * @param signal - Signal competing against the deadline.
 * @param duration - Compact duration string, milliseconds, or compatible
 *   signal.
 */
export declare function timeout<TSignal extends Signal>(signal: TSignal, duration: Duration): InheritSignalCoordination<TSignal, InferSignal<TSignal>>;
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