import { IImmutableSet } from 'thaw-common-utilities.ts';
import { ILCBetaReductionOptions, ILCExpression, ILCLambdaExpression, ILCSubstitution, ILCUnifiable } from './interfaces/expression';
import { LCValueBase } from './value-base';
import { LCVariable } from './variable';
export declare class LCLambdaExpression extends LCValueBase implements ILCLambdaExpression {
    readonly arg: LCVariable;
    readonly body: ILCExpression;
    constructor(arg: LCVariable, body: ILCExpression);
    toString(): string;
    containsVariableNamed(name: string): boolean;
    containsBoundVariableNamed(name: string): boolean;
    containsUnboundVariableNamed(name: string, boundVariableNames: IImmutableSet<string>): boolean;
    renameBoundVariable(newName: string, oldName: string): ILCExpression;
    substituteForUnboundVariable(name: string, value: ILCExpression): ILCExpression;
    isBetaReducible(): boolean;
    betaReduce(options?: ILCBetaReductionOptions): ILCExpression;
    deltaReduce(): ILCExpression;
    etaReduce(): ILCExpression;
    getSetOfAllVariableNames(): IImmutableSet<string>;
    applySubstitution(substitution: ILCSubstitution): ILCExpression;
    unify(other: ILCUnifiable, variablesInOriginalExpr1Param?: IImmutableSet<string>, variablesInOriginalExpr2Param?: IImmutableSet<string>): ILCSubstitution | undefined;
}
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