/**
 * Plain-language narration of a Move: "Subtract 3 from both sides", "Divide
 * both sides by 2", … A UI shows this beside the drag preview so a silent
 * gesture is also a NAMED algebraic step — the vocabulary a learner carries to
 * the page. Pure (no DOM): maps (judgment, move) to a phrase, deriving any
 * operand text from the tree the move references.
 */
import type { Judgment } from "./assumptions.js";
import { type Expr } from "./expr.js";
import type { Move } from "./moves.js";
/**
 * Compact, human-friendly rendering of an expression for captions: implicit
 * multiplication (3x), superscript powers (x²), √, fraction bars. Distinct
 * from exprToString, whose job is a reparseable round-trip (3 * x, x^2).
 */
export declare function describeExpr(e: Expr): string;
/**
 * A plain-language name for a Move, or undefined when there is no caption worth
 * showing. Both-sides moves name their operand from the tree; structural moves
 * get a fixed, learner-facing verb.
 */
export declare function describeMove(judgment: Judgment, move: Move): string | undefined;
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