Okay, so imagine you have a big puzzle to solve. A puzzle with lots of pieces that need to fit together just right. Now, you're not the only one working on this puzzle. You have some friends who are working on different parts of the puzzle, but you all need to work together to make sure everything fits.
Now, there are some rules you need to follow. Some pieces can only fit in certain places, and some pieces can't be anywhere near each other. These rules are called "constraints".
So let's say one of your friends finds a piece that they think should go in a certain spot, but it breaks one of the constraints. What do you do? Well, you need to find a different piece that will fit there without breaking any of the constraints.
This is where "parallel constraint satisfaction processes" come in. That's just a fancy way of saying that you and your friends are working together to solve the puzzle, while making sure that all the pieces fit together and follow the rules.
Instead of one person solving the puzzle alone, everyone is working at the same time, trying to find pieces that fit and don't break any rules. If someone finds a piece that doesn't fit or breaks a rule, they let everyone else know and keep looking for a different piece.
This way, everyone is using their brains to solve the puzzle, and you're all working together. It might take longer than if you were working alone, but you're more likely to find the right pieces and solve the puzzle correctly. And that's "parallel constraint satisfaction processes" in a nutshell!