Conjunctive normal form

Conjunctive normal form is a way to write complex statements in a simple way by breaking them down into smaller parts. Think of it like building a puzzle, where each piece is a simple statement and you put them together to make a bigger picture.

In this form, we use the words "and" and "or" to glue the smaller pieces together. "Or" is used to give us options, while "and" is used to make sure that everything we are saying is true.

Let's take an example to make it crystal clear. Suppose we have three statements:

- I am happy
- I am hungry
- I am sleepy

Now we want to combine them into one big statement. How can we do that? We can use the conjunctive normal form!

We will start by using "or" to join the first two statements, as we have a choice between being happy or being hungry:
- I am happy or I am hungry

Next, we will use "and" to add our third statement, as it is true regardless of whether we are happy or hungry:
- (I am happy or I am hungry) and I am sleepy

And we're done! We've turned three simple statements into one complex statement using conjunctive normal form.