Satisfiability

Okay, so imagine you have a puzzle with different colored blocks. Each block can only fit in a certain spot, and you have to figure out which block goes where.

Now, imagine that you have a bunch of rules about where the blocks can and can't go. Maybe the blue block can't be next to the green block, or the red block has to be in the corner.

Satisfiability is all about figuring out if there is a way to arrange all the blocks so that they follow all those rules. If there is a way, we say that the puzzle is "satisfiable." If there isn't a way, we say that it is "unsatisfiable."

In real life, this concept is used a lot in computer science and math, where people are trying to solve really complicated puzzles called "Boolean formulas." These formulas have a bunch of rules about what variables can or can't be assigned certain values.

Just like with our puzzle, people use algorithms to try to figure out whether there is a way to assign the variables to different values that follow all the rules. If there is, we say that the Boolean formula is "satisfiable." If there isn't, it's "unsatisfiable."