Process calculus is like playing with toys that are called processes. Each process is like a little person that can do things. They can talk, they can move, and they can do some things by themselves or with other processes.
Let's imagine we have two processes, Process A and Process B. Process A wants to talk to Process B. To do this, Process A sends a message to Process B. Think of this like sending a message on a phone. Process B receives the message and responds back to Process A. This is like texting back.
Now, let's suppose we want to create a new process, Process C. We can do this by "merging" Process A and Process B. This creates a new process that inherits the properties of A and B— it can talk to A like B, and it can also talk to B like A.
Now let's say we want to create more complicated processes that can do more things. We can use mathematical formulas and laws to define these processes. Imagine having a toy box full of mathematical formulas that help you create different kinds of processes. This is what Process Calculus is like.
By using process calculus, we can describe, analyze and compare different kinds of processes. We can also predict how they will behave and how they will interact with other processes. It is like a cool toy that helps us understand how things work.