Program synthesis is like teaching someone to draw by showing them how to draw one thing, and then having them draw something else that is similar.
Just like how you can learn to draw different things by using the same basic shapes, program synthesis is a way to create computer programs by starting with a basic idea, and then using rules to generate the complete program.
Basically, you tell the computer what you want the program to do and it figures out how to make it happen. It's like having a magic pencil that draws exactly what you're thinking.
This is helpful because sometimes it can be hard to write a program from scratch. Program synthesis makes it easier to create software by breaking it down into smaller, simpler steps.
So, just like how you can draw a picture by following certain rules, you can create a computer program by telling the computer certain things and letting it figure out the rest.