import type { LivePath, LivePathPart } from "../../types/livemap.types.js";
export declare function clone_live_path(path: LivePath): LivePath;
export declare function paths_equal(left: LivePath, right: LivePath): boolean;
export declare function append_live_path(path: LivePath, part: LivePathPart): LivePath;
export declare function parent_live_path(path: LivePath): LivePath | undefined;
export declare function relative_live_path(prefix: LivePath, path: LivePath): LivePath | undefined;
export declare function live_path_key(path: LivePath): string;
/**
 * Format a LivePath for error messages and debug output.
 *
 * The output intentionally mirrors array path syntax because LivePath is the
 * canonical, unambiguous representation beneath later ergonomic surfaces.
 */
export declare function format_live_path(path: LivePath): string;
/**
 * Return true when two data paths can affect each other.
 *
 * The rule is intentionally symmetric:
 * - a parent path overlaps a child path: `["user"]` overlaps `["user", "name"]`
 * - a child path overlaps a parent path: `["user", "name"]` overlaps `["user"]`
 * - sibling paths do not overlap: `["user", "name"]` ignores `["user", "role"]`
 */
export declare function paths_overlap(a: LivePath, b: LivePath): boolean;
/**
 * Return true when `prefix` is an exact ancestor-or-self prefix of `path`.
 *
 * This is intentionally strict equality per path segment. No dot splitting,
 * coercion, stringification, or wildcard behavior happens here.
 */
export declare function path_is_prefix(prefix: LivePath, path: LivePath): boolean;
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