Proof net

Okay kiddo, let’s talk about proof nets. Do you remember how we draw pictures of math problems to help us solve them? Well, that’s kind of like what a proof net is, it’s a picture that helps us see if an argument in logic is correct or not.

Now, let’s say we have a bunch of statements that we want to prove are true. We put those statements at the top of the picture, and then we draw lines down to other statements that support them. And we keep drawing lines until we get to the bottom of the picture where we have the final statement that we want to prove.

But we want to make sure that our argument is solid, right? So, we have some rules that we follow to help us check if our proof net is correct. The rules say that each branch must have exactly one conclusion, and each conclusion can only be used once in the proof. Also, we can’t have any loops or circles in the lines, because that would mean the proof is going in circles and never ends.

If we follow these rules and draw our proof net correctly, then we can be confident that our argument is correct. It’s like building a road, we have to make sure all the pieces fit together perfectly so that we can reach our destination.

So, that’s what a proof net is, it’s a helpful tool that we use to check if our logic is sound and our arguments are valid. It’s like a roadmap that helps us get to the right answer.