ELI5: Explain Like I'm 5

Information-based complexity

Hello little one! Today we're going to learn about a big and complicated concept called information-based complexity.

Have you ever heard of information? It's a big word that means the stuff we know about things, like facts or details. For example, you know that water is wet and that the sun is hot. That's information!

Now, imagine that you wanted to figure out something really hard, like how to build a rocket ship to fly to the moon. You would need a lot of information to make it work! But sometimes, even when we have a lot of information, things can still be really tricky. That's where information-based complexity comes in.

Basically, information-based complexity is all about how hard it is to do a certain task when we have a lot of information about it. It's like trying to solve a really complicated puzzle - even if you have all the pieces, it can still be really hard to put them together correctly.

Scientists and mathematicians like to study information-based complexity because they want to figure out how to do things more efficiently. Imagine if building a rocket was easier - we could explore space even more! So they use all kinds of fancy math and computer science to try to understand how information affects how hard things are to do.

But don't worry if it all sounds a little confusing - information-based complexity is a big, tough topic even for grown-ups! Just remember that it's all about how hard it is to do things when we have a lot of information, and that scientists are trying to figure out how to make things easier. Keep learning and growing, little one!