Java 8 functional interface with no arguments and no return value

If I understand correctly you want a functional interface with a method void m(). In which case you can simply use a Runnable.

Just make your own

@FunctionalInterface
public interface Procedure {
    void run();

    default Procedure andThen(Procedure after){
        return () -> {
            this.run();
            after.run();
        };
    }

    default Procedure compose(Procedure before){
        return () -> {
            before.run();
            this.run();
        };
    }
}

and use it like this

public static void main(String[] args){
    Procedure procedure1 = () -> System.out.print("Hello");
    Procedure procedure2 = () -> System.out.print("World");

    procedure1.andThen(procedure2).run();
    System.out.println();
    procedure1.compose(procedure2).run();

}

and the output

HelloWorld
WorldHello