Bisimulation

Bisimulation is like playing with toys that are the same but have different names. Imagine you have two stuffed animals that look exactly the same, one is named Teddy and the other is named Bear. Even though they have different names, they do the same things and can have the same adventures. So, if you play with Teddy and then play with Bear, it's almost like you're playing with the same toy.

In a similar way, bisimulation is a way to compare two things, like computer programs or systems, and see if they do the same things even if they have different names. It's like playing with two different programs but seeing if they behave the same way. This is important because sometimes we want to make sure that two programs do the same thing so we can trust their results.

To check for bisimulation, we look at how the two things interact with their environment. This means we look at what inputs they take and what outputs they produce. If they take the same inputs and produce the same outputs in the same order, then we say they are bisimilar, even if they look different on the outside.

So, just like how Teddy and Bear are practically the same, two things can be bisimilar even if they have different names and appearances. Bisimulation helps us compare things and see if they behave the same way, which is important for making sure we can trust them.