/**
 * Serializes an {@link AstNode} tree back to canonical formula source.
 *
 * This is the inverse of the parser and the foundation for copy/fill: the
 * {@link FormulaTransposer} offsets relative references in the AST, then this
 * module re-emits the source. Serialization is **precedence-aware** — it inserts
 * the minimum parentheses needed to preserve the tree's meaning, so a
 * round-trip never changes semantics.
 *
 * @packageDocumentation
 */
import { AstNode } from './parser/ast.types';
/**
 * Serializes an AST to formula source (without the leading `=`).
 *
 * @param node - The AST root.
 * @returns The canonical source string.
 */
export declare function serializeFormula(node: AstNode): string;
/**
 * Serializes an AST to a complete formula source including the leading `=`.
 *
 * @param node - The AST root.
 * @returns The source string prefixed with `=`.
 */
export declare function serializeFormulaWithEquals(node: AstNode): string;
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