import { type AbstractDomain } from './abstract-domain';
import { Bottom, Top } from './lattice';
/** The type of the actual values of the interval domain as tuple of the lower and upper bound */
export type IntervalValue = readonly [number, number];
/** The type of the Top element of the interval domain as interval [-∞, +∞] from -∞ to +∞ */
export type IntervalTop = readonly [typeof Infinity, typeof Infinity];
/** The type of the Bottom element of the interval domain as {@link Bottom} symbol */
export type IntervalBottom = typeof Bottom;
/** The type of the abstract values of the interval domain that are Top, Bottom, or actual values */
export type IntervalLift = IntervalValue | IntervalTop | IntervalBottom;
/**
 * The interval abstract domain as intervals with possibly infinite bounds representing possible numeric values.
 * The Bottom element is defined as {@link Bottom} symbol and the Top element is defined as the interval [-∞, +∞].
 * @template Value - Type of the constraint in the abstract domain (Top, Bottom, or an actual value)
 */
export declare class IntervalDomain<Value extends IntervalLift = IntervalLift> implements AbstractDomain<number, IntervalValue, IntervalTop, IntervalBottom, Value> {
    private _value;
    constructor(value: Value);
    get value(): Value;
    static top(): IntervalDomain<IntervalTop>;
    static bottom(): IntervalDomain<IntervalBottom>;
    static abstract(concrete: ReadonlySet<number> | typeof Top): IntervalDomain;
    top(): IntervalDomain<IntervalTop>;
    bottom(): IntervalDomain<IntervalBottom>;
    equals(other: IntervalDomain): boolean;
    leq(other: IntervalDomain): boolean;
    join(...values: IntervalDomain[]): IntervalDomain;
    meet(...values: IntervalDomain[]): IntervalDomain;
    widen(other: IntervalDomain): IntervalDomain;
    narrow(other: IntervalDomain): IntervalDomain;
    concretize(limit?: number): ReadonlySet<number> | typeof Top;
    abstract(concrete: ReadonlySet<number> | typeof Top): IntervalDomain;
    /**
     * Adds another abstract value to the current abstract value by adding the two lower and upper bounds, respectively.
     */
    add(other: IntervalDomain): IntervalDomain;
    /**
     * Subtracts another abstract value from the current abstract value by subtracting the two lower and upper bounds from each other, respectively.
     */
    subtract(other: IntervalDomain): IntervalDomain;
    /**
     * Creates the minimum between the current abstract value and another abstract value by creating the minimum of the two lower and upper bounds, respectively.
     */
    min(other: IntervalDomain): IntervalDomain;
    /**
     * Creates the maximum between the current abstract value and another abstract value by creating the maximum of the two lower and upper bounds, respectively.
     */
    max(other: IntervalDomain): IntervalDomain;
    /**
     * Extends the lower bound of the current abstract value down to -∞.
     */
    extendDown(): IntervalDomain;
    /**
     * Extends the upper bound of the current abstract value up to +∞.
     */
    extendUp(): IntervalDomain;
    toString(): string;
    isTop(): this is IntervalDomain<IntervalTop>;
    isBottom(): this is IntervalDomain<IntervalBottom>;
    isValue(): this is IntervalDomain<IntervalValue>;
}