I have recently realized that my understanding of training rules has done a 180 degree turn over the years. I realized this because I am still using the same phrases, and people I teach are interpreting them the way I used to, rather than what I mean now.  Confusing. 
We frequently use the word "allow" to describe rules, as in "my dog is not allowed on the furniture". Or I might say to a client, "you must no longer allow him to ignore your recalls". 

When I looked up the definition of "allow", I read:

1. give (someone) permission to do something
2. give the necessary time or opportunity

Allowing means to give something. If my dog is not allowed on the couch without first being invited, that means I shouldn't give permission, time, or opportunity for him to do that!
If I'm withholding permission, that means I need to have trained him to stay on the floor until I give that permission. That doesn't happen by yelling at him after he's already gotten up there. It happens via the second part of the definition.
If I'm not giving him time or opportunity, that means I need to have set up the environment in a way to prevent him from having access to the couch. I use an ex pen...around the couch! Growing up (for a puppy) or settling in to a new home (for a rescue) with habits of sleeping on comfortable dog beds on the floor (in a sun spot or shady spot depending on the temperature) makes it much easier to prevent that couch jumping habit later.  During that time you can also teach a calm and reinforcing "off" cue in case the mistake is made (you can see more detail on this in my previous post).

As to that rule for my clients about not allowing their dogs to ignore recalls, I provide all new clients with a long rope and encourage them to use the same rule I use with new dogs in our family. Note, the rule is FOR ME.  That rule is that the puppy or dog is always on a rope when outside until two requirements are met, those being that the puppy turns one year old and has a rock solid recall.  In this way, I do not allow the dog to run away.  If she is attached to me via a rope, then she is prevented from making that mistake. I keep the rope short enough at first that it's easy to do lots of little recalls with great treats. When the puppy/dog is responding quickly, I can let the rope out a little at a time over many days, weeks and months until that recall is rock solid at great distances and even under great distractions. In this way, I have not allowed the dog to ignore me. 

Unfortunately, too often what happens is that in fact the people allow the dog to make a mistake and then punish when it does. That is just unfair. 

Let's look at one of the definitions of "rule":

• one of a set of explicit or understood regulations or principles governing conduct within a particular activity or sphere.

So since we agree that the rules are for the people, then we also need to be sure that we, the people, have explicitly defined the rule and understand it ourselves. If you look at the top of this page, you will see two terriers zonked out on the couch.  We all know the rules. Terriers sleep on dog beds until a person sits on the couch. Then that person can invite them to join him or her. Good times are had by all.