Maybe I'm not seeing it, but I can't think of a problem this causes because a static class that extends an abstract class can't be instantiated, but maybe there is a design pattern that I should use instead.
Here is an example of what I'm talking about:
public class PetTrainer
{
    public PetTrainer(...)
    {...}
    public static class LeashInstruction extends LeashInstructionAbstract
    {
    //No Code
    }
}
Within the same package:
abstract class LeashInstructionAbstract
{
    public static void giveTreat(...)
    {...}
    public static...
    //imagine more
}
 
    