Tires get inflated according to the weight they are carrying. The more weight a tire carries the more PSI it needs. The sidewall of the tire shows the max psi that it can hold and the max weight that it will carry at that psi. On your truck, all 4 tires are the same, E rated, and carry their max load at 80 psi. The rears get inflated to max to carry the load in the bed, the fronts don't carry that much weight and therefore only get inflated to 55 psi. The manufacturer does this math when they prepare the door sticker.
Your owner's manual may have a provision in the tire section that says that you can run less than 80 in the back when there is no load in the bed to reduce bouncing and improved the ride some. I know that's what it says in my Suburban manual, if I run 80 in the back when not towing it rides a little harsh, I usually go to 65 or so in the back when running empty.
Tires are designed for their pressure to be measured cold. So if it's 80 psi in the morning, yes the tire will get hotter as the day warms up and you run the tire, that is normal and you don't need to adjust the psi. Not a good idea to do so. Only exception might be if you start your day in mountains and check the cold inflation with it being 35 outside, then drive down to the desert where it's 110.